What is the graph of y-2=-3(x-1)?
Answers
The graph of y-2=-3(x-1) is shown in the figure below;
How to plot a graph of given function?Graphing functions is the process of drawing the graph (curve) of the corresponding function. Graphing basic functions like linear, quadratic, cubic, etc is pretty simple, graphing functions that are complex like rational, logarithmic, etc, needs some skill and some mathematical concepts to understand.
Given;
y-2= -3(x-1)
When x=0
y-2= -3(0-1)
y-2=0
y=0
When y=0
0-2= -3(x-1)
x=1.667
Hence, the graph of these coordinates is as follows;
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Related Questions
each side of a square is increasing at a rate of 6 cm/s. at what rate (in cm2/s) is the area of the square increasing when the area of the square is 16 cm2?
Answers
The area of the square increasing when the area of the square is 16 cm² by the rate of 48cm²/s.
What is area?The measurement that expresses the size of a region on a plane or curved surface is called area. Surface area refers to the area of an open surface or the boundary of a three-dimensional object, whereas the area of a plane region or plane area refers to the area of a shape or planar lamina.
Here,
A = s²
(dA)/(dt)
(dA/ds)*(ds/dt)
(ds)/(dt) = 6 cm/s
When A = 16 cm²
16 = s²
s = √(16)
s = 4 cm
(dA)/(dt) = 2 × 4 × 6 = 48 cm²/s
When the square is 16 cm², its area grows by 48cm²/s, or one-fourth of its initial size.
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6. A sunflower was 12 inches when first planted. Since then it has grown 34 of an inch each month.
A. Write a linear equation.
B. Identify the slope and y-intercept.
C. How tall was it after a year?
Answers
The linear equation will be y=34x+12 and the slop is 34 and y intercept is 12. And the sunflower will be 420 inches tall after a year.
Here, the sunflower was 12 inches when first planted and it grows 34 of an inch each month
So, the linear equation will be
y=34x+12
Where,
y=height
x=month
now,
the slope-intercept equation is
y=mx+c
Where,
m=slope
c=y intercept
Comparing this equation with equation (1)
We will get
m=34
c=12
so, the slope is 34 and y intercept is 12.
now,
The tree is 12 inches when it first planted and since then it grows 34 of an inch every month
So,
Height of tree after a year =12+34×12
Height of tree after a year = 12+408
Height of tree after a year = 420 inches.
Hence,
The tree will be 420 inches tall after a year.
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HELPPPPPPPP!!! Picture included
Answers
The equation that could be used to find the measure of angle B is Sin B = √5/5.
According to the question,
We have the following information:
We have a right-angled triangle with all its sides given.
Now, in order to find the measurement of angle B, we will use trigonometric functions. Two functions Sin and Cos are given in options. So, we will find the values of angle B using these two.
Cos B = AB/BC
Cos B = 6/3√5
Cos B = 2/√5
Now, multiplying both the numerator and denominator by √5:
Cos B = 2√5/5
Now, this equation is not given in options. So, we will find the angle using Sin.
Sin B = AC/BC
Sin B = 3/3√5
Sin B = 1/√5
Now, multiplying both the numerator and denominator by √5:
Sin B = √5/5
Hence, the correct option is B.
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Find the slope of each line.
11. through (3, 5), parallel to y = 5x-1
12. through (-0.5, 0.5), perpendicular to y = -2x - 4
Answers
The slope is 5. The slope of a line parallel to this equation will be 5, regardless of its position.
To find the line that goes through the point (3,5) that has slope = 5.
y = 5x + b
now use the point to find 'b'
5 = 5(3) + b
b = -10
perpendicular: [tex]\frac{1}{2}[/tex]
[tex]y-0.5= \frac{1}{2} \times(x + 0.5)[/tex]
[tex]y - 0.5 = \frac{1}{2}x + 0.25[/tex]
[tex]y = \frac{1}{2}x+\frac{3}{4}[/tex]
What is Slope?
The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).
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Mary places a 15-foot ladder against her house. The base of the ladder is 3 feet from her house.
How high up, to the nearest tenth of a foot, does the ladder reach on Mary's house?
A. 14.7
B. 14.8
C. 14.9
D. 15.3
Answers
Answer:
14.7
Step-by-step explanation:
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Estimate each square root to the nearest tenth. 1. √10 3.4
Answers
Step 1: Estimate
Step 1: Estimate10 lies between perfect squares of 3^2 and 4^2.
Step 1: Estimate10 lies between perfect squares of 3^2 and 4^2.
Step 1: Estimate10 lies between perfect squares of 3^2 and 4^2. Step 2: Divide
Step 1: Estimate10 lies between perfect squares of 3^2 and 4^2. Step 2: DivideDivide 10 by 3. We get 3.33
Step 1: Estimate10 lies between perfect squares of 3^2 and 4^2. Step 2: DivideDivide 10 by 3. We get 3.33
Step 1: Estimate10 lies between perfect squares of 3^2 and 4^2. Step 2: DivideDivide 10 by 3. We get 3.33 Step 3: Average
Step 1: Estimate10 lies between perfect squares of 3^2 and 4^2. Step 2: DivideDivide 10 by 3. We get 3.33 Step 3: AverageAverage 3.33 and 3, which gives us 3.1667
Step 1: Estimate10 lies between perfect squares of 3^2 and 4^2. Step 2: DivideDivide 10 by 3. We get 3.33 Step 3: AverageAverage 3.33 and 3, which gives us 3.1667
Step 1: Estimate10 lies between perfect squares of 3^2 and 4^2. Step 2: DivideDivide 10 by 3. We get 3.33 Step 3: AverageAverage 3.33 and 3, which gives us 3.1667 Step 4: Repeat
Step 1: Estimate10 lies between perfect squares of 3^2 and 4^2. Step 2: DivideDivide 10 by 3. We get 3.33 Step 3: AverageAverage 3.33 and 3, which gives us 3.1667 Step 4: RepeatTo get a more accurate number, keep repeating step 2 and 3.
Step 1: Estimate10 lies between perfect squares of 3^2 and 4^2. Step 2: DivideDivide 10 by 3. We get 3.33 Step 3: AverageAverage 3.33 and 3, which gives us 3.1667 Step 4: RepeatTo get a more accurate number, keep repeating step 2 and 3.
Step 1: Estimate10 lies between perfect squares of 3^2 and 4^2. Step 2: DivideDivide 10 by 3. We get 3.33 Step 3: AverageAverage 3.33 and 3, which gives us 3.1667 Step 4: RepeatTo get a more accurate number, keep repeating step 2 and 3. You should get a final answer of 3.16.
Part B
What is the ratio of the unknown amount (x) invested in company A to the known amount ($24) invested in company B? Write the answer as a
fraction.
Answers
The ratio of the amounts is x/24.
The amount invested in company A is unknown. The amount is represented by the variable "x". The amount invested in company B is $24. We need to find out the ratio of the amount invested in company A to that of company B. We need the answer as a fraction.
Let the ratio be represented by the variable "r". A ratio compares two numbers. A ratio expresses how much of one thing there is in comparison to another. A fraction is a portion of a whole or, more broadly, any number of equal pieces. In ordinary English, a fraction denotes the number of components of a specific size.
r = x/24
Hence, the ratio of the amount invested in company A to that of company B is x/24.
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Members of a lacrosse team raised $1775. 50 to go to a tournament. They rented a bus for $901. 50 and budgeted $46 per player for meals. Write and solve an equation which can be used to determine xx, the number of players the team can bring to the tournament.
Answers
The number of players the team can bring to the tournament = 19 .
Given : amount raised by team = $1775.50
rent of bus = $901.50
budget for meal per player = $46
To find : the number of players the team can bring to the tournament
Equation :
taking bus charge as y - intercept ( since it does not depend on the no . of members riding on it )
taking meal amount as slope ( since it depends on the no . of members a team can bring to the tournament )
Let x be the no . of players a team can bring to the tournament .
Therefore , the equation is :
1775.50 = 46 x + 901.50
874 = 46 x
x = 19
Hence , the number of players the team can bring to the tournament = 19 .
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Chloe is in the business of manufacturing phones. She must pay a daily fixed cost of $300 to rent the building and equipment, and also pays a cost of $75 per phone produced for materials and labor. Make a table of values and then write an equation for C,C, in terms of p,p, representing total cost, in dollars, of producing pp phones in a given day.
Answers
The table of values and the equation for C, in terms of p, representing the total cost, in dollars are
p C(p)
0 300
1 375
2 450
3 525
4 600
and so on.
Given,
Chloe is in the business of manufacturing phones.
She pay a daily cost $300 to rent for the building and equipment.
and, also pays a cost of $75 per phone produced for materials and labor.
Now, According to the question;
How to make a table of values and the equation for C, in terms of p, representing the total cost, in dollars?
The given parameters are:
Cost per phone = $75
Fixed cost of labor and material = $300
The total cost is represented as;
C(p) = Fixed cost + Cost per phone x Number of phones
So, we have
C(p) = 300 + 75 * p
Evaluate
C(p) = 300 + 75p
Hence, Using the above equation, the table of values is
p C(p)
0 300
1 375
2 450
3 525
4 600
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A group of 60 people are going on a trip to an amusement park that has dollar coasters and water rides. The number of people who like roller coasters is 42, the number who do not like water rides is 23 and the number who do not like either kind of ride is 8. Determine which Venn diagram accurately represents the people going on the trip.
Answers
The no. of people whole likes only roller coasters is 19.
What are sets and subsets?A set is a collection of well-defined objects.
A subset contains all the elements or a few elements of the given set.
The improper subset is when it contains all the elements of the given set and the proper subset is when it doesn't contain all the elements of the given set.
Let N(U) be the no. who likes at least one of the rides which is
N(U) = (60 - 8) = 52 as 8 people do not like either kind of ride.
Given, The number of people who like roller coasters is 42 and the number who do not like water rides is 23.
∴ The no. of people who only likes roller coasters is (42 - 23) = 19.
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6. The mass of Mars is 6.42 x 1023 kilograms. The mass of Mercury is 3.3 x 1023 kilograms.
a. What is the combined mass of Mars and Mercury expressed in scientific notation
b. What is the difference in the mass of the two planets expressed in scientific notation?
Answers
a) The combined mass of Mars and Mercury expressed in scientific notation is 9.72 x 10²³
b) The difference in the mass of the two planets expressed in scientific notation is 3.12 x 10²³
Scientific Notation:
Scientific method is the method of expressing numbers in terms of a decimal number between 1 and 10, but not 10 itself multiplied by a power of 10.
Given,
The mass of Mars is 6.42 x 10²³ kilograms. The mass of Mercury is 3.3 x 10²³ kilograms.
Here we need to find the following,
a) The combined mass of Mars and Mercury expressed in scientific notation
b) The difference in the mass of the two planets expressed in scientific notation
a) The combined mass of Mars and Mercury expressed in scientific notation is calculated by add the both masses then we get,
=> (6.42 x 10²³) + (3.3 x 10²³)
Here we have to take the exponent term as common, then we get,
=> (6.42 + 3.3) x 10²³
=> 9.72 x 10²³
b) The difference mass of Mars and Mercury expressed in scientific notation is calculated by subtract the both masses then we get,
=> (6.42 x 10²³) - (3.3 x 10²³)
Here we have to take the exponent term as common, then we get,
=> (6.42 - 3.3) x 10²³
=> 3.12 x 10²³
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How does a domain restriction placed on a non-invertible function affect its inverse? drag a function or an interval into each box to correctly complete the statement.
Answers
A domain restriction placed on a non-invertible function affect its inverse.
Using inverse function concepts, it is found that:
The inverse of the function is [tex]y = \sqrt{x+3}-1[/tex], and the domain of the inverse function is [tex]\left[-3,\infty ][/tex]
A function will have an inverse if for each output, there is only one respective input.
The domain of the inverse is the range of the original function.
The function given is:
[tex]f(x) = (x+1)^{2} -3[/tex]
It's range is [tex]\left[-3, \infty][/tex], which will be the domain of the inverse.
To find the inverse, we exchange x and y, and isolate y, then:
[tex]y = (x+1)^{2} - 3\\ \\x = (y+1)^{2} - 3\\\\(y+1)^{2} = x+3\\ \\\sqrt{((y+1)^{2}} = \sqrt{x+3} \\\\y+1 = \sqrt{x+3}\\\\y = \sqrt{x+3} -1[/tex]
The inverse of the function is [tex]y = \sqrt{x+3} -1[/tex], and the domain of the inverse function is [tex]\left[-3, \infty][/tex].
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Answer question in picture
Answers
The given graph can be expressed as an equation of f(x) = tan(-x) - 2.
What is a graph of a trigonometric function?
In these trigonometry graphs, the x-axis values of the angles are in radians, and the y-axis value of the function at each given angle is taken as f(x).
The given graph is of a negative angle of a tangent.
So if we draw the graph of the tangent of a negative angle, the graph will pass through the origin, but
If we subtract 2 from the graph of the tangent of the negative angle then we will get the same graph as shown in the given figure.
So the equation would be f(x) = tan(-x) - 2.
Hence, the equation of the graph will be f(x) = tan(-x) - 2.
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You decide at 14 years old you want to begin saving for a car for when you're 17. It's 3 months until your 15th birthday and you can afford to put $60 a month in a savings account. How much will you have for a car on your 17th birthday?
Answers
Answer:
180
Step-by-step explanation:
If you are 14 you are 3 years away from 17 Wich would mean $60 would have to be multiplied by 3
60x3
3x6= 18
18x10= 180
(sorry if this is wrong)
Determine the relationship between the two triangles and whether or not they can be proven to be congruent.
See two attachments
Answers
The relationship between the triangles is angle angle side.
What is the relationship between the triangles?We know that triangles could be related in certain ways. The way that a triangle is related to each other can be used to determine the relationship then the several ways that triangles could be related to eacjh other are;
Side angle side
Angle angle side
side side side.
We can see that the angles and the sides of this triangles are the same so the relationship between then can be said to be on the basis of angle side angle.
Looking at the images, it is clear that the triangles are congruent because there are two sides and an angle that are equal.
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Find the area of the figure. Express the answer in terms of x and then
round to the nearest tenth.
Find the area of the figure in terms of x.
A=
C...
A≈
(Type an exact answer, using a as needed.)
Find the area of the figure rounded to the nearest tenth.
Square
6 cm
Answers
Answer:
Step-by-step explanation:
Area of the square = 6^2 = 36 cm^2
radius = 6 : 2 = 3 cm
Area of the four semicircles = 3^2 * π * 2 = 18 π cm^2
Total area in terms of π= 36 + 18π = 18(2+π) cm^2
Total area = 18(5.141593) = 92.548668 = 92.5 cm^2
reflect shape A in the x-axis
Answers
Answer:
points: (4,-1) (1,-1) (4,-3)
Step-by-step explanation:
I WILL MARK BRAINLIEST!!!
Jesse and Amir were assigned the same book to read. Jesse started reading on Saturday, and he is reading 30 pages a day. Amir didn't start until Sunday, but he is reading 35 pages a day.
4. The graph of the correct system of equations is shown. Find how many days it will take Amir to catch up to Jesse and how many pages they each will have read. (3 points)
Answers
Answer:
It will take 6 days to catch up and they both will have read 210 pages
Step-by-step explanation:
to find this out we just find where the line intersects
It intersects at 6 days and 210 pages
Hopes this helps please mark brainliest
Answer: i put this here so you can mark the other person brainliest
Step-by-step explanation:
Please help - giving extra points
4) The Opus Supreme Opera House has 300 seats. 90 of the seats are in the balcony.
What percent of the seats are in the balcony?
Pick the model that represents the problem.
0%
0%
90
%
?
90
What percent of the seats are in the balcony?
()
100%
300
100%
300
Answers
Answer: 30%; Second Model
Step-by-step explanation:
Since it is 90/300, simplified into 3/10
The percentage is 30% and the second model shows 3/10, the first one shows 2/5.
Find the solution to the linear equation.
9x8=9x+6
Answers
9 x 8 = 72
Subtract 6 from both sides
72 - 6 = 9x + 6-6
Simplify
66 = 9x
Divide both sides by the same factor
66 = 9x
66/9 = 9x/9
Simplify
X = 22/3
Answer: x = 22/3
Sorry if I didn’t do it right
Answer:
72=9x+6
x= 7.111111111111111111111111111111111111111111111111111111111111and on
Step-by-step explanation:
9
105°
C
Α΄
B
6
Calculate the measure of ZC in ABCA to the nearest tenth of a degree.
Answers
By using the law of sine, the measure of ∠C is 39°
Law of sine:
Law of sine refers the ratio of the side length of a triangle to the sine of the opposite angle, which is the same for all three sides.
Given,
Here we have the triangle.
Now, we have to find the angle ∠C.
While we looking into the given diagram,
We have the length of,
AB = 6
AC = 9
∠B = 105°
So, based on the law of sine it can be written as,
=> sin 105° / 9 = sin x°/6
Apply the value of sin 105° = 0.97, then we get,
=> 0.97/9 = sin x° / 6
Cross multiply them, then we get,
=> 5.82/9 = sin x°
=> 0.64 = sin x°
=> x = sin⁻¹ (0.64)
=> x = 39°
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I really need the answer to this question. What is n take away 5 times by 4? or: n-5*4
Answers
Answer: n-20
Step-by-step explanation: just multiply 5 and 4.
hope this helps!
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A salesperson's commission rate is 4%. What is the commission from the sale of %31,000 worth of furnaces
Answers
The commission on the sale of 31000 worth of furances when the rate of commission is 4% is given by 1240.
Given that, a salesperson's commission rate is 4%.
Sale of person is 31000.
So the commission of the that sales is = 31000*4% = 31000*(4/100) = 310*4 = 1240
Hence the commission of the sale is 1240.
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Stuart owns a window washing business. He can wash the windows on 9 houses in 4 hours. At this rate, how long would it take him to wash the windows on 45 houses? How many houses could he wash in 12 hours
Answers
Answer:
20hours;
27houses.......................
Find the geometric mean between each pair of numbers. 8 and 12
Answers
The Geometric Mean between the pair of numbers 8 and 12 is 4√6 .
Geometric Mean between the numbers x and y is calculated using the formula ,
GM = √(x * y),
where GM represents the Geometric Mean
In the question ,
it is given that ,
the pair of numbers are 8 and 12 .
we need to find the geometric mean between them ,
By using the Geometric Mean formula from above ,
we get ,
GM = √(8 × 12)
GM = √96
GM = 4√6
Therefore , The Geometric Mean between the pair of numbers 8 and 12 is 4√6 .
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a team of three high jumpers all have a personal record that is at least 6 feet and less than 7 feet. is it necessarily true that two of the team members must have personal records that are within four inches of each other? what if there are four jumpers? heights are measured to within a precision of 1/4 inch.
Answers
The statement that two of the team members must have personal records that are within four inches of each other it is not true for three high jumpers, and true for four high jumpers.
1 foot = 12 inches
So, for three high jumpers the statement is not true. A counterexample,
First player = 6 feet
Second player = 6 feet 6 inches
Third player = 6 feet 11 inches
Thus, personal record each player have interval more than 4 inches of each other.
For four high jumpers the statement is true. Since there are 4 jumpers and 3 intervals by the pigeonhole principle, at least two of the four jumpers have intervals within four inches. For example, in the image, the new jumpers should be placed in areas A, B, C and this makes at least two of the four jumpers have an interval of four inches.
Thus, the statement is not true for three jumpers and true for four jumpers.
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Decide whether the triangles are similar. if so, determine the appropriate expression to solve for x. triangles abc and edf, where triangle abc has angle a measuring 47 degrees, angle c measuring 62 degrees, side ac labeled as y, side ab labeled as w, and side bc labeled as x and triangle edf has angle d measuring 71 degrees, angle e measuring 47 degrees, side de labeled z, side ef labeled u, and side df labeled r the triangles are not similar; no expression for x can be found. δabc ~ δdef; x equals r times w over u δabc ~ δedf; x equals r times w over u δabc ~ δedf; x equals r times w over z
Answers
The option that describes the similarity relationship between the triangles is the option; The triangles are not similar, no expression for x can be found.
What are similar triangles?Similar triangles are triangles that have all three interior angles of one triangle, congruent to the three angles of the other triangle.
The parameters of the triangles can be presented as follows;
ΔABC
∠A = 47°
∠C = 62°
AC = y
AB = w
BC = x
The measure of angle ∠B = 180° - 47° - 52° = 81°
ΔDEF
∠D = 71°
∠E = 47°
DE = z
EF = u
DF = r
Therefore;
∠F = 180°- 71° - 47° = 62°
The angles of triangle ΔABC are not congruent to the angles of triangle ΔDEF, therefore; triangle ΔABC and triangle ΔDEF are not similar.
Therefore;
The triangles are not similar, no expressions for x can be found.
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Select the correct equation for the following sentence: Twenty-four is the same as 31.4 times a number plus negative 8.4. 31.4n + 8.4 = 24 –8.4n + 31.4 = 24 24 = 31.4n + (–8.4) 24 – 31.4 = –8.4n
Answers
The corerect equation for the given linear equation in one variable is 24 = 31.4n + (-8.4)
What is Linear Equation in One Variable?
A linear equation is a one-variable equation of a straight line. The variable's only power is 1. Linear equations in one variable of the form an x + b = 0 are solved using simple algebraic techniques.
Solution:
According to the word problem,
The formation of Linear Equation will be
24 = 31.4n + (-8.4)
and it can be also written as
24 = 31..4n - 8.4
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(-3, -9) and (4, -2)
What is the Linear Equation?
Pls help asap! Tysm if u do!
Answers
The equation of the line is y=x-6 when the points are (-3,-9) and (4,-2).
Given that,
The points are (-3,-9) and (4,-2).
We have to find the linear equation.
We know the formula of the equation of the line is,
y=mx+b
The slope of the line is m that is rise by run.
m=-2+9/4+3
m=7/7
m=1
The slope of the line is 1.
Now, b is intercept.
-9=1(-3)+b
-9=-3+b
b=-9+3
b=-6
The equation of the line is y=x-6.
Therefore, The equation of the line is y=x-6 when the points are (-3,-9) and (4,-2).
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What is
66/200 as a decimal
Answers
Answer:
0.33
Step-by-step explanation:
hope this helps :)
