The minimum monthly payment so that she avoids paying interest on the credit card is given as follows:
$150
How to obtain the minimum monthly payment?The minimum monthly payment is obtained applying the proportions in the context of this problem.
The interest-free period is given as follows:
6 months, as long as the purchase has a value that is less than $1000.
(as stated in the problem).
The value of the TV is given as follows:
$900.
(as stated in the problem).
The minimum monthly payment is obtained with the division of the value of the TV by the length in months of the interest free period, as follows:
Minimum payment = 900/6
Minimum payment = $150.
(this is the proportion that is applied in this problem).
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hello everyone, i need help can someone help me here please! thankyou
Answer:
1. 37, 44, 51
2. 24, 19, 14
3. 36, 49, 64
Step-by-step explanation:
The first rule is add 7
The second rule is subtract 5
The third rule is add 2 to every difference
Three fathers-Paul, Johnson, and Nicolas have between them a total of 15 children of which 9 are boys. Paul has 3 girls and Johnson has the same number of boys. Johnson has 1 more child than Paul who has 4 children. Nicholas has 4 more boys than girls and the same number of girls as Paul has boys. How many boys each do Nicolas and Paul have?
Answer:
Nicholas has 5 boys, and Paul has 1 boy
Step-by-step explanation:
We will use 3 different variables, p, j, and n. Along with this, if there is a subscript on a variable, it will be either b or g, meaning boy or girl. If there is no subscript, it means both genders. We will start by translating our sentences into linear equations, giving us:
[tex]p + j + n = 15[/tex] (1st Equation)
[tex]p_{g} = j_{b} = 3[/tex] (2nd Equation)
[tex]j = p + 1 (p = 4)[/tex] (3rd Equation)
[tex]n_{b} = n_{g} +4[/tex] (4th Equation)
[tex]n_{g} = p_{b}[/tex] (5th Equation)
Whew! That was a lot. We know that Paul has 4 children, which means Johnson has 5 children. Which means Nicolas has 6 children. We know that Paul's girl count is 3 (second equation), meaning that 4 - 3 = Paul has 1 boy. Then, we know that Nicholas has:
b = g + 4 and b + g = 6
So, we substitute the first equation into the second equation, giving us:
g + 4 + g = 6
2g = 2
g = 1
So, Nicholas has one girl, meaning he has 5 boys.
So, Nicholas has 5 boys, and Paul has 1 boy.
Hope this helped!
Find the total amount in an
account to the nearest cent after 3
years if the interest is compounded
annually on an investment of $5600 at
7.65%.
The total amount in an account to the nearest cent after 3 years if the interest is compounded annually on an investment of $5600 at 7.65% is $6,986.02
To find the total amount in the account after 3 years, we need to use the formula for compound interest:
A = P(1 + r/n)^(nt)
where A is the total amount, P is the initial investment (principal), r is the annual interest rate (expressed as a decimal), n is the number of times the interest is compounded per year, and t is the number of years.
In this case, P = $5600, r = 0.0765, n = 1 (because the interest is compounded annually), and t = 3. Plugging these values into the formula gives:
A = 5600(1 + 0.0765)^3
A = $6,986.02
So, the total amount in the account after 3 years, to the nearest cent, would be $6,986.02
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Write a system of equations to describe the situation below, solve using substitution, and fill in the blanks.
In a paint factory, an old conveyer line has filled 22 barrels of paint and is filling more at a rate of 1 barrel per minute. A worker just switched on a newer line that can fill 12 barrels per minute. In a little while, the two lines will have filled an equal number of barrels. How many barrels will each line have filled? How long will that take?
It takes 10 minutes for the two lines to have filled an equal number of barrels
How many barrels will each line have filled?Each line will have filled 90 barrels
Let “x” be the number of minutes
The old conveyer line has filled 20 barrels of paint, and is filling more at a rate of 7 barrels per minute
Thus, a equation is framed as follows:
Old conveyor: 20 + 7(number of minutes)
Old conveyor: 20 + 7x ------- eqn 1
A worker just switched on a newer line that can fill 9 barrels per minute
Thus, a equation is framed as follows:
New conveyor: 9(number of minutes)
New conveyor: 9x -------- eqn 2
In a little while, the two lines will have filled an equal number of barrels.
Thus, eqn 1 must be equal to eqn 2
Thus it takes 10 minutes for the two lines to have filled an equal number of barrels
Substitute x = 10 in any one of equations
Substitute in eqn 2
9x = 9(10) = 90
Thus each line will have filled 90 barrels
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The ratio of green apples to red apples is 3 to 7. Which combination of green apples to red apples could be used?
Answer:
3 green apples and 7 red apples.
Step-by-step explanation:
1. Start with the ratio of green apples to red apples, which is 3 to 7.
2. Multiply 3 (the number of green apples) by any number to get a number that is divisible by 7 (the number of red apples).
3. In this case, multiplying 3 by 2 gives 6, which is divisible by 7.
4. Since 6 is divisible by 7, that means that the solution is 3 green apples and 7 red apples.
8 = c − –3
c =
what does C equal?
[tex]8 = c - - 3 \\ 8 = c + 3 \\ c = 8 - 3 \\ c = 5[/tex]
Answer:
it is c=5
Step-by-step explanation:
here is how you get the answer
8=c−−3
8=c+3
c=8−3
c=5
Describe the discontinuity of the graphed function. Be sure to indicate the location of each discontinuity and identify the type of discontinuity.
function f(x) is said to be discontinuous at a point ‘a’ of its domain D if it is not continuous there. The point ‘a’ is then called a point of discontinuity of the function.
he function of the graph which is not connected with each other is known as a discontinuous function.
A function f(x) is said to have a discontinuity of the first kind at x = a,
if the left-hand limit of f(x) and right-hand limit of f(x) both exist but are not equal.
f(x) is said to have a discontinuity of the first kind from the left at x = a,
if the left hand of the function exists but not equal to f(a)
There are three types of discontinuity.
Jump Discontinuity
Infinite Discontinuity
Removable Discontinuity
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medians are drawn from point $a$ and point $b$ in this right triangle to divide segments $\overline{bc}$ and $\overline{ac}$ in half, respectively. the lengths of the medians are 6 and $2\sqrt{11}$ units, respectively. how many units are in the length of segment $\overline{ab}$?
The length of segment $\overline{ab}$ is 12 + 4$[tex]\sqrt{11}[/tex]$ units.
What is right triangle ?
A right triangle is a type of triangle that has one angle that measures exactly 90 degrees, also known as a right angle. The side opposite the right angle is called the hypotenuse and it is the longest side of the triangle. The other two sides are called legs, and one of them is the base and the other one is the height.
We know that the medians are 6 and $2\sqrt{11}$ units, respectively.
Therefore, the length of $\overline{ab}$ is twice the median length from $a$ to segment $\overline{bc}$ + twice the median length from $b$ to segment $\overline{ac}$
so the length of $\overline{ab}$ = 2(6) + 2($2[tex]\sqrt{11}[/tex]$) = 12 + 4$\sqrt{11}$
so the length of $\overline{ab}$ = 12 + 4$[tex]\sqrt{11}[/tex]$ units.
Hence , The length of segment $\overline{ab}$ is 12 + 4$[tex]\sqrt{11}[/tex]$ units.
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Draw the line of reflection that reflects quadrilateral ABC D onto quadrilateral A' B'C'D'.
Therefore , solving the provided quadrilateral question we can say that - (x,y) -> (x,y) is the formula for a reflection across the y-axis.
Describe a quadrilateral.In geometry, a four-sided object having four corners is referred to as a quadrilateral. The word comes from either the Latin quad or portfolio of innovative (meaning "side"). Four corners, four states, and four corners are the three dimensions of a rectangle. Concave and convex surfaces come in essentially two varieties. Convex quadrilaterals also include the subclasses of trapezoids, parallelograms, angles, rhombuses, and squares.
Here,
The ordinate and abscissa are other names for the y-axis and x-axis, respectively.
The Y-axis is a line drawn from the bottom to the top of the graph. This axis runs parallel to the coordinates that need to be measured.
The numbers on the y-axis are referred to as y-coordinates.
When writing sorted pairs, the x-coordinate and then the y-coordinate are included in parenthesis.
(x, y).
A' ( -1, 1 ) ⇒ A"(-1, -1)
B' (-2, 2) ⇒ B"(-2, -2)
C' (-2, 3) ⇒ C"(-2, -3)
and D' (-1, 4) ⇒ D" (-1, -4)
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In the following Earliest Start Time (EST) graph, assume each unit of time is an hour.
How many hours will it take until Task F can be started?
7 hours
8 hours
14 hours
4 hours
So on solving the provided question, we can say that by unitary method task done of 15 days done = 7/5 X 15hours = 21 hours
What is unitary method ?The unit technique is an approach to problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value. The unit method, to put it simply, is used to extract a single unit value from a supplied multiple. For instance, 40 pens would cost 400 rupees, or the price of one pen. The process for doing this may be standardized. a single country. anything that has an identity element. (mathematics, algebra) (Linear algebra, mathematical analysis, mathematics of matrices or operators) Its adjoint and reciprocal are equivalent.
here,
task done of 5 days done = 7 hours.
task done of 1 days done = 7/5 hours.
task done of 15 days done = 7/5 X 15hours = 21 hours
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which of the following shows the correct first step to solve x^2-16x=-21 by completing the square? I'LL GIVE YOU BRAINLLEST PLEASE HELP ASAP!!!!!!!!!!!!!!!!!
Answer: B. [tex]x^{2} - 16x + 64 = -21 + 64[/tex]
Step-by-step explanation:
Esteban is playing a matching card game. ✰✰✰4**
*****
He turns the cards over and shuffles them.
Esteban takes a card and keeps it. He then takes a second card.
If the cards are identical, he wins the game.
a) Complete this tree diagram to show the probability for each card in the game.
First card
Second card
[2]
N/N
Cross
Star
Cross
Star
Cross
Star
b) What is the probability that Esteban
wins the game?
The probability that Esteban wins the game is 29/49.
What is the probability?Probability can be defined as the ratio of the number of favourable outcomes to the total number of outcomes of an event.
We know that, probability of an event = Number of favourable outcomes/Total number of outcomes
Given that, Esteban is playing a matching card game.
If the cards are identical, he wins the game.
Probability of getting cross on both the cards
2/7 × 2/7
= 4/49
Probability of getting star on both the cards
5/7 × 5/7
= 25/49
Probability to win the game is
4/49 + 25/49
= 29/49
Therefore, the probability that Esteban wins the game is 29/49.
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What is the lateral surface area of this figure in cm2? Round to the nearest 10th. Hint: you will need Pythagorean Theorem to solve.
The surface area of the triangular prism in this problem is given as follows:
46 cm².
How to calculate the surface area?The surface area of a prism is calculated as the sum of the areas of all the figures that compose the prism.
The figure in this problem is composed as follows:
One square of side length s = 2 cm.Two right triangles of dimensions 2 cm and 7 cm.Two rectangles of dimensions 2 cm and 7 cm.The area of the square is given as follows:
As = 2² = 4 cm².
The area of the two right triangles is given as follows:
At = 2 x 1/2 x 2 x 7 = 14 cm².
The area of the two rectangles is given as follows:
Ar = 2 x 2 x 7 = 28 cm².
Hence the surface area of the prism is given as follows:
S = As + At + Ar
S = 4 + 14 + 28
S = 46 cm².
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how do you think the cartesian product you read about is related to the cartesian coordinate system we use for graphing
The Cartesian product that I read about is a mathematical concept that is used to combine two sets together in a specific way. The Cartesian coordinate system, on the other hand, is a way of representing points in a two-dimensional plane using a set of numerical coordinates.
The relationship between the two is that the Cartesian product is used to create the set of all possible coordinates that can be used in the Cartesian coordinate system. The Cartesian product of two sets, say set A and set B, is the set of all ordered pairs (a, b) where a belongs to set A and b belongs to set B.
When we graph a point in the Cartesian coordinate system, we are picking a specific point from the set of all possible points that can be created using the Cartesian product of the set of x-coordinates and the set of y-coordinates.
In other words, the Cartesian product is the foundation of the Cartesian coordinate system. It provides a set of all possible points that can be graphed using that system.
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Substitute x = 2 into each equation. Which two equations have the solution x = 2?
Answer:
Step-by-step explanation:
The two equations that have the solution x = 2 when x is substituted for 2 are:
Equation 1: 2 + 3x = 10
2 + 3(2) = 10
2 + 6 = 10
8 = 10
Equation 2: 2x + 4 = 10
2(2) + 4 = 10
4 + 4 = 10
8 = 10
there are 80 students in a class. if 80% of students passed the examination,find the number of failed students
Answer:
Step-by-step explanation:
Total Student in a class = 80
No. of students passed = 80*80% = 64
No. of students failed = Total Students in a class - No. of students passed
No. of students failed = 80-64 =16
Question 1 (1 point) Home Remodelers, Inc., and Imogen enter into a contract for a sale of cabinets and countertops. Home Remodelers merchant who deals in goods of the kind sold, notes that its goods come with an implied Under the UCC, this means that the goods are reasonably warranty of merchantabilit fit for the buyer's particular purpose. O fit for the ordinary purpose for which such goods are used. O suitable for resale at an acceptable price. C the best quality that money can buy Save Question 2 (1 point) Olive, an agent for Precision Paving Corporation, enters into an unauthorized contract with Quality Asphalt, Inc.
The answer provided illustrates the concept of implied and express warranties, unilateral and bilateral contracts, voidable and void contracts, and executory consideration. It also provides number of examples of each of these concepts.
1. O fit for the ordinary purpose for which such goods are used.
2. A enforce the contract against Olive.
3. C An express warranty must be in writing and signed by the parties.
4. C supported by consideration.
5. O is void.
6. C enforceable.
7. O is a rejection and counteroffer.
8. O A promise to do something in the present in exchange for something else in the future.
9. A An offer to pay a reward for the return of lost property.
10. C An offer to do something in the future in exchange for something else in the present.
The answer provided illustrates the concept of implied and express warranties, unilateral and bilateral contracts, voidable and void contracts, and executory consideration. It also provides number of examples of each of these concepts.
The complete question is :
Question 1 (1 point) Home Remodelers, Inc., and Imogen enter into a contract for a sale of cabinets and countertops. Home Remodelers merchant who deals in goods of the kind sold, notes that its goods come with an implied Under the UCC, this means that the goods are reasonably warranty of merchantabilit fit for the buyer's particular purpose. O fit for the ordinary purpose for which such goods are used. O suitable for resale at an acceptable price. C the best quality that money can buy Save Question 2 (1 point) Olive, an agent for Precision Paving Corporation, enters into an unauthorized contract with Quality Asphalt, Inc. Quality Asphalt may, at its option, A enforce the contract against Olive. O enforce the contract against Precision Paving. C void the contract. Save Question 3 (1 point) Which of the following statements about an express warranty is true? A An express warranty does not need to be in writing. O An express warranty does not need to be signed by the parties. C An express warranty must be in writing and signed by the parties. Save Question 4 (1 point) In order to be enforceable, a contract must be A fair and equitable to both parties. O signed by both parties. C supported by consideration. Save Question 5 (1 point) A contract that is void because of a mistake by one of the parties O is voidable. A is void. C is still enforceable. Save Question 6 (1 point) A contract between two individuals is generally A voidable. O void. C enforceable. Save Question 7 (1 point) Phil makes an offer to sell a house to Sally for $200,000. Sally responds by saying that she will buy the house for $200,000, but wants to add a condition that the house must pass an inspection. This response A is an acceptance of the offer. O is a rejection and counteroffer. C is a condition of acceptance. Save Question 8 (1 point) Which of the following is an example of Executory consideration? A A promise to do something in the future in exchange for something else in the present. O A promise to do something in the present in exchange for something else in the future. C A promise to do something in the future in exchange for something else in the future. Save Question 9 (1 point) Which of the following is an example of a unilateral contract? A An offer to pay a reward for the return of lost property. O An offer to do something in the present in exchange for something else in the future. C An offer to do something in the future in exchange for something else in the present. Save Question 10 (1 point) Which of the following is an example of an implied contract? A An offer to pay a reward for the return of lost property. O An offer to do something in the present in exchange for something else in the future. C An offer to do something in the future in exchange for something else in the present. Save
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Pls help will get grounded if I fail ☹ Write the rule for the linear. Remember a function rule written using f(x).
an opinion poll asked a random sample of high school couples in the united states whether they believe they will marry their high school sweetheart. a researcher believes more than 25% of high school couples believe they will marry. which null and alternative hypotheses should be used to test this claim?
The null hypothesis would be H0: p <= 0.25 and the alternative hypothesis would be Ha: p > 0.25
The null hypothesis represents the default assumption that there is no significant difference between the proportion of high school couples who believe they will marry their high school sweetheart and the researcher's claim that more than 25% of high school couples believe they will marry.
The alternative hypothesis represents the claim that the researcher wants to test, which is that the proportion of high school couples who believe they will marry their high school sweetheart is greater than 25%.
So, the null hypothesis would be:
H0: p <= 0.25 (where p is the proportion of high school couples who believe they will marry their high school sweetheart)
The alternative hypothesis would be:
Ha: p > 0.25 (where p is the proportion of high school couples who believe they will marry their high school sweetheart)
The researcher would then use statistical methods to test if the sample data provide enough evidence to reject the null hypothesis in favor of the alternative hypothesis.
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Each deli sandwich made uses 3/8 pound of roast beef. marisa started with 5 pounds of roast beef and now has 2 3/4 pounds left. how many deli sandwiches did she make?
Answer:
To solve this problem, we will use the following steps:
Step 1: Convert the amount of roast beef used in each sandwich to a decimal by dividing the numerator by the denominator: 3/8 pound = 0.375 pound
Step 2: Subtract the amount of roast beef that Marisa has left from the amount of roast beef that she started with to find the amount of roast beef used: 5 - 2.75 = 2.25 pounds
Step 3: Divide the amount of roast beef used by the amount of roast beef used in each sandwich: 2.25 pounds / 0.375 pounds = 6
Final Answer: Marisa made 6 deli sandwiches.
A square and a regular heptagon are coplanar and share a common side $\overline{AD}$, as shown. What is the degree measure of exterior angle $BAC$
The degree of the measure of the exterior angle is 141 3/7°.
the term exterior angle in triangle is defined as angles that are parallel to the inner angles of a polygon but lie on the outside of it
Here we know that A square and a regular heptagon are coplanar and share a common side AD.
And then here we need to find each of the interior angle of the regular heptagon.
As we all know that here we have to use the formula that gives the interior angle measure for a regular polygon with any number of sides is 180(n-2)/n where n is the number of sides.
According to the given formula here we have a regular heptagon's interior angle measures is calculated as
=> 180(7-2)/7 = 128 4/7.
Here we also know that the angle A and D would be 128 4/7 degrees.
Here the next step is to Find angle BAC.
For that here we have to know that a square's interior angle is 90 degrees and a heptagon's is 128 4/7 degrees.
Now we have to subtract those from 360 degrees to find angle BAC then we get the expression like the following,
=> Angle BAC = 360 - (angle A + 90)
=> 360 - (128 4/7 + 90)
When we simplify this one then we get the resulting value as,
=> 360 - 218 4/7 = 141 3/7 degree
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what is the least positive integer value of $x$ such that $(2x)^2 2\cdot 37\cdot 2x 37^2$ is a multiple of 47?
The least positive integer value of x is 1
We can start by expressing the expression (2x)^2 2372x 37^2 as a multiple of 47.
47 | (2x)^2 2372x 37^2
Since 47 is a prime number, we can use the property that a multiple of a prime number is a number that can be divided by that prime number without leaving a remainder.
So, we need to find the least positive integer value of x such that (2x)^2 2372x 37^2 is divisible by 47.
We can start by assuming (2x)^2 2372x 37^2 as (2x)^2 2372x 37^2 = 47*k, where k is any integer.
We can start testing values of x starting from 1,
x=1 : (21)^2 * 23721 * 37^2 = 4 * 74 * 1369 = 47 * 2028,
x=2 : (22)^2 * 23722 * 37^2 = 16 * 148 * 1369 = 47 * 6912,
and so on.
So the least positive integer value of x such that (2x)^2 2372x 37^2 is a multiple of 47 is x=1.
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Please help me with this problem!!
Check the picture below.
find the quotient
324÷0.6
Answer:540
Step-by-step explanation:
Answer:
540
Step-by-step explanation:
When multiplying two numbers and one is a decimal you multiply both of them by 10 to keep whole number denominators.
[tex]\frac{324}{0.6}[/tex]
[tex]10* \frac{324}{0.6}[/tex]
[tex]\frac{3240}{6}[/tex]
[tex]\frac{3240}{6} = 540[/tex]
Which option distinguishes the element that needs to be adjusted on the chart in the following scenario?
Donna just completed her demographic chart for her final social studies project on population growth. Her
teacher returns it and says her independent variable is incorrect and needs to be changed.
title
O y-axis value
O legend
Ox-axis value
833
Sign out
Jan 16
An answer option which distinguishes the element that needs to be adjusted on the chart in the following scenario is: C. x-axis value.
What are the types of variables?In an experiment, there are two (2) main types of variables and these include the following:
Dependent variable.Independent variable.What is an independent variable?In Mathematics, an independent variable can be defined as the variable that is being manipulated by an experimenter or researcher. This ultimately implies that, an independent variable is typically considered to be the cause in an experiment and it is represented by the x-axis value on a graph.
In this scenario, we can reasonably infer and logically deduce that the independent variable (x-axis value) represents the element that should be adjusted on Donna's demographic chart on population growth.
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Vinh pays a convenience fee when he reserves movie ticket son his cell phone app. The app shows him the total cost of his purchase (y) for different number of tickets (x) in the table shown. Do not add any spaces when typing in the equation.
The equation showing the total cost for purchasing x tickets is given as y = 12.5x + 7
What is an equation?An equation is a expression that shows the relationship between numbers and variables.
The standard form of a linear equation is:
y = mx + b
Where m is the rate of change and b is the y intercept
Let y represent the total cost for x tickets.
From the table, using the points (2, 32) and (6, 82):
y - 32 = [(82 - 32)/(6 - 2)](x - 2)
y - 32 = 12.5(x - 2)
y = 12.5x + 7
The equation is given as y = 12.5x + 7
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The length of one diagonal of a rhombus is 6 times the length of the other diagonal. Write an expression that represents the perimeter of the rhombus, where d represents the shorter diagonal.
Answer:
A rhombus is a four-sided shape with all sides equal in length, and opposite angles equal. The diagonals of a rhombus bisect each other at right angles and they are equal in length.
In this case, the length of one diagonal of the rhombus is 6 times the length of the other diagonal. Let's call the length of the shorter diagonal "d", and the length of the longer diagonal "6d".
To find the perimeter of the rhombus, we can add up the lengths of all four sides. Since all sides of a rhombus are equal, we can find the perimeter by multiplying the length of one side by 4.
To find the length of one side, we can use the Pythagorean theorem to find the length of the side in terms of d, the shorter diagonal.
We know that d^2 + (3d)^2 = s^2, where s is the length of one side.
After simplifying, we get: d^2 + 9d^2 = s^2
s = √10d^2
so the perimeter is 4s = 4 √10d^2
Therefore, the perimeter of the rhombus can be represented by the expression 4* √10d^2 where d represents the length of the shorter diagonal.
Answer:
14d
Step-by-step explanation:
First the short diagonal is d, so we can mark it as d:
d
Second we have 6 times that, so 6d:
d+6d
Then we multiply it by two since a rhombus has 4 sides:
2d+12d
Then we simplify:
14d
Voila!
The equation C = 50m represents the monthly cost of membership at Jane’s current gym. The equation C= 35m represents the monthly cost of membership at a different gym, named Gym City
It can be concluded that Gym city membership fee is less than Jane’s current gym membership fee.
What are expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is that the equation C = 50m, that represents the monthly cost of membership at Jane’s current gym. The equation C = 35m represents the monthly cost of membership at a different gym, named Gym City
The equation for direct variation is -
y = Kx
where -
{K} denotes the rate of change
Now -
For Jane’s current gym, the equation that represents the monthly cost of membership is C = 50m. This means it costs $50 per month as a membership fee.For Gym City, the equation that represents the monthly cost of membership is C = 35m. This means it costs $35 per month as a membership fee.Therefore, it can be concluded that Gym city membership fee is less than Jane’s current gym membership fee.
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The following curve passes through (3,1). Use the local linearization of the curve to find the approximate value of y at x
m = the slope of the curve at x=3 and b = the y-intercept at x=3. Therefore, the approximate value of y at x=2
We can use the local linearization of the curve to approximate the value of y at x=2.
The local linearization of the curve is given by the equation y = mx + b, where m is the slope of the curve at x=3 and b is the y-intercept at x=3.
Let m be the slope of the curve at x=3 and b be the y-intercept at x=3.
The slope of the curve at x=3 can be found by calculating the derivative of the curve at x=3.
The y-intercept at x=3 can be calculated by substituting x=3 into the equation of the curve and solving for y.
Therefore, m = the slope of the curve at x=3 and b = the y-intercept at x=3.
Substituting the values of m and b into the equation of the local linearization, we get the equation y = mx + b.
Substituting x=2 into the equation, we get y ≈ 0.5 + 1 = 1.5.
Therefore, the approximate value of y at x=2
The local linearization of the curve can be used to approximate the value of y at x=2. Substituting x=2 into the equation, we get y ≈ 1.5, which is the approximate value of y at x=2.
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What is the value of the expression below when w= 5 and x=9? 7w-x=
Answer:
Step-by-step explanation:
Given that w=5 and x=9, we can substitute these values into the expression to find the value of the expression:
7w-x
= 7(5) - 9
= 35 - 9
= 26
So the value of the expression when w=5 and x=9 is 26
