Substitute y = 0 and solve for x to find the x-intercept, and do the same for the y-intercept.
How do you find an example of the y-intercept?Examples on the Y Intercept Using the y-intercept formula, we can find the y-intercept of a function by substituting x = 0 and solving for y; consequently, the given function lacks a y-intercept. 2nd Example: Find the value of "a" if the y-intercept of a function y = a (x - 1) (x - 2) (x - 3) is (0, 12).
With two points, how do you find the y-intercept?We can solve for the y-intercept in the slope-intercept equation y=mx+b by first determining the slope between two points on a line and then writing an equation for that line.
How are the slope and y-intercept of Y determined?The slope-intercept form is used to write the line's equation, which looks like this: y is equal to mx + b, where m is the slope and b is the y-intercept. We can see that the line has a slope of 6 in our equation, which is y = 6x + 2.
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Answer in simplest radical form if necessary (NO DECIMALS!). Copy and paste this symbol if needed: √
The value of x from the given figure is 12 units.
What are similar triangles?Two triangles are similar if the angles are the same size or the corresponding sides are in the same ratio. Either of these conditions will prove two triangles are similar.
From the given figure,
Consider ΔPQR and ΔPQS,
∠P=∠P (Reflex property)
PQ=PQ (Reflex property)
∠PQR=∠PSQ=90°
By AA similarity, ΔPQR ~ ΔPQS
So, PQ/PR = PS/PQ
x/45 = 25/x
x²=45×25
x=15√5 units
Therefore, the value of x from the given figure is 15√5 units.
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What is the ratio to 15 unshaded squares to 10 shaded
The ratio of unshaded squares to shaded squares is 15:10. This means that for every 15 unshaded squares, there are 10 shaded squares. This can also be simplified to 3:2, which means that for every 3 unshaded squares, there are 2 shaded squares.
It is important to keep in mind that the ratio is not equal to the fraction, it's just a way to express the relationship between the two.
Answer:
15:10
Step-by-step explanation:
15:10 which means that for every 15 unshaded squares there are 10 shaded squares which can also be simplified to 3:2 which means pretty much the same thing, for every 3 unshaded squares there will be 2 shaded ones. A ratio is not a fraction, so i advise not treating it like one.
Help me solve this pls
9 + 8 > 20 or 2q - 5 <13
Answer:
So the final solution is q < 9 and the inequality is False.
Step-by-step explanation:
To solve the given inequality, you first need to simplify the left-hand side of the inequality:
9 + 8 = 17
so the inequality becomes:
17 > 20 or 2q - 5 < 13
Since 17 is not greater than 20, this inequality is false.
Next, we need to solve the other inequality:
2q - 5 < 13
To isolate the variable on one side of the inequality, we need to add 5 to both sides:
2q < 18
Then, we divide both sides by 2:
q < 9
So the solution is q < 9
So the final solution is q < 9 and the inequality is False.
Answer these questions, if you get them right i will give brainlets
x-2/9=6 5/9 ??
J+1/2=3 9/14??
x-1/8=5/24??
The results for each operation are given as follows:
x-2/9=6 5/9 -> x = 61/9.
J+1/2=3 9/14 -> J = 22/7.
x-1/8=5/24 -> x = 1/3.
How to solve the expressions?The first step to solve the expressions is to transform the mixed numbers to fractions, hence:
6 5/9 = (6 x 9 + 5)/9 = 59/9.3 and 9/14 = (3 x 14 + 9)/14 = 51/14.Then the solution for the first expression is of:
x = 59/9 + 2/9
x = 61/9.
The solution for the second expression is of:
J = 51/14 - 1/2
J = 51/14 - 7/14
J = 44/14.
J = 22/7.
The solution for the third expression is of:
x = 5/24 + 1/8
x = 5/24 + 3/24
x = 8/24
x = 1/3.
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Please help me asap !
Answer:
by helping some one fast
the path of the goof ball is modled by h= -2t^2+14t
1. how long will the golf ball be in the air after it is hit?
2. there is a 6 meter cedar tree that the ball encounters at approximately 3 seconds after it is hit. does the ball pass over the tree or hit it?
3. what is the maximum height that is reached by the ball, and at what time does it happen
By evaluating and using the quadratic equation we will have:
1) 7 seconds.
2) Yes, it will pass.
3) 24.5 meters, after 3.5 seconds.
How long will the ball be on the air?To find this, we need to solve the quadratic equation:
h = -2t^2 + 14t = 0
Taking t as a common factor we can write:
t*(-2t + 14) = 0
-2t +14 = 0
14 = 2t
14/2 = t
7 = t
The ball will be 7 seconds on the air.
2) To check this we need to evaluate the quadratic equation on t = 3
h = -2*3^2 + 14*3 = 24
The height is of the ball is larger than the height of the tree.
3) What is the maximum height of the ball?
This happens at the vertex of the quadratic equation:
h = -2t^2 + 14t
The two roots are t = 0 and t = 7, then the vertex is at t = (7 - 0)/2 = 3.5
And the maximum height is:
h = -2*3.5^2 + 14*3.5 = 24.5
The maximum height is 24.5 meters.
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What is the degree of polynomial 2x² 5x² 7?.
The degree of the polynomial 2x² 5x² 7 is 4.
The biggest sum of all the exponents for all of variables in a term is the polynomial's degree. Any polynomial's degree is determined solely by its variables; coefficients are to be disregarded. The highest exponential power in a polynomial equation is called the polynomial's degree.
When x is the variable with the highest power n in an nth degree polynomial function with real coefficients, where n can take whole number values.
One of the key ideas in mathematics is the degree of polynomials, which establishes the maximum number of possible solutions and the frequency with which a function will cross the x-axis on a graph.
A polynomial with many variables is of a certain degree: Find the term with the highest degree by averaging the exponents of all the variables in each phrase. That will be regarded as the polynomial's degree.
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Hugo works for the Produce and Pantry grocery store as a bagger. He earns $57.50 for a 5-hour shift. How much does he earn per hour?
Answer:
Hugo earns $11.50 per hour
Step-by-step explanation:
57.50/5 = 11.50
Answer:$11.5 per hour
Step-by-step explanation: $57.50 / 5 hour shift = $11.5 per hour
The number of water bottles, y, filled in x minutes by each of two machines is given by the equations below. Use substitution to determine if there is a point at which the machines will have filled the same number of bottles. 160x + 2y = 50 y+80x = 50
The equation system contains: No Solution.
How to find equation?A mathematical statement proving the equality of two mathematical expressions is what is meant by the term equation.
When two or more components of a situation must be taken into account in order to comprehend or describe the entire situation, this is known as an equation.
The equation in a new order:60x + 2y = 50
y+80x = 50
On both sides of the equation, lessen the most prevalent factor:
80x + y =25
80x + y = 50
Remove the two equations:
80x + y - (80x + y) = 25-50
Take the parentheses out.
80x + y - 80x - y = 25 - 50
One variable is canceled: 0 = 25 - 50
Make a difference or total calculation: 0 = -25
The equation system contains: No Solution.
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A shipping container will be used to transport several 120-kilogram cr country by rail. The greatest weight that can be loaded into the contair kilograms. Other shipments weighing 12400 kilograms have already b the container. Which inequality can be used to determine , the great 120-kilogram crates that can be loaded onto the shipping container?
27500 ≥ 120x + 12600 is the inequality that can be used to determine x, the great 120-kilogram crates that can be loaded onto the shipping container.
What is inequality?A relation that compares two numbers or other mathematical expressions inequitably is known as an inequality in mathematics. [1] Most frequently, size comparisons are made between two numbers on the number line. Different notations can be used to represent various kinds of inequalities, including:
A is smaller than b, as shown by the symbol a < b.
When the expression a > b is used, it means that a is greater than b.
The greatest weight that can be loaded into a container = 27500kg
Shipment weight already present in the container = 12400kg
Amount of weight that can be loaded = 27500 - 12400 = 15100kg
Weight of each crates = 120 kg
Let x be the maximum number of 120 kg crates that can be loaded to the container
Weight of 'x' number of 120 kg crates = 120x
Therefore, the required inequality is as follows
27500 ≥ 120x + 12600 (since the maximum amount of weight of crates that can be put in the container should be less than or equal to the total weight of the maximum number of crates that can be loaded into the container).
Thus, 27500 ≥ 120x + 12600 is the inequality that can be used to determine x, the great 120-kilogram crates that can be loaded onto the shipping container.
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4.8d=2.4 plsss help I'm crying
Answer: d=0.5
Step-by-step explanation: 4.8d=2.4
Divide 4.8 form both sides to isolate d.
[tex]\frac{4.8d}{4.8} =\frac{2.4}{4.8}[/tex]
Then, just do 2.4 divided by 4.8 to get d=0.5.
What is the additive inverse of − 7 *?.
The additive inverse of 7 is -7.
The additive inverse of any numeral is the opposite of that numeral. If a number is added to its additive inverse, the sum of both numbers becomes zero. In other words, the additive inverse is the number that is added to a given number to make the sum zero. That is what you add to a number to get zero is called its additive inverse.
That is, Number + Additive inverse = 0
OR
The negative of a number.
Now we are given the number
7
So, the additive inverse of 7:
⇒7 + Additive inverse = 0
⇒Additive inverse = -7
Thus the additive inverse of is 7 is -7.
--The given question is incorrect; the correct question is
"What is the additive inverse of 7?"--
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A long year-end status report for work is 125 pages long. You need to print 18 copies for a meeting next week. How much is the paper going to cost for those reports? Paper is sold in reams (500 pages) for $3.66 each.
Answer:
$16.47
Step-by-step explanation:
125×18=2250
these are the pages printed
2250÷500=4.5
these are the reams of paper needed
$3.66 ×4.5=$16.47
this is the money needed
A rectangular basketball court has a perimeter of 232 feet. The length of the court is 74 feet. What is the width of the basketball court?
Answer:
42 feet
Step-by-step explanation:
p = 2l + 2w
232 - 2(74) =
232 - 148 = 84
84/2 = 42
Check
232 = 2(42) + 2( 74)
232 = 84 + 148
232 = 232
A probability experiment is conducted in which the sample space of the experiment is S={ 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14}, event F={5, 6, 7, 8, 9}, and event G={9, 10, 11, 12}. Assume that each outcome is equally likely. List the outcomes in F or G. Find P(F or G) by counting the number of outcomes in F or G. Determine P(F or G) using the general addition rule.
The value of P(F or G) using the general addition rule be 8/12.
What is meant by probability?Mathematical explanations of the likelihood that an event will occur or that a statement is true are referred to as probabilities. A number between 0 and 1 represents the likelihood of an event, with 0 generally denoting impossibility and 1 denoting certainty.
Probability is a synonym for potential. It is a field of mathematics that examines how random events happen. From zero to one, the value is stated. To forecast the likelihood of events, probability has been introduced in mathematics.
We have that
F∪G = {5, 6, 7, 8, 9, 10, 11, 12}
P(FG) = 0.667
P(F or G) = 5/12 + 4/12 - (1/12)
P(F or G) = 5/12 + 1/4
From the question we are told
S = {3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14},
F = [5, 6, 7, 8, 9]
G = {9, 10, 11, 12}
Generally
The P(F or G) by counting the number of outcomes in F or G exists
[tex]$F \& G=\{5,6,7,8,9,10,11,12\}$$[/tex]
P(F or G) using the general addition rule
[tex]$& P(F G)=\frac{N_f}{N_g} \\[/tex]
substitute the values in the above equation, we get
[tex]$& P(F G)=\frac{8}{12} \\[/tex]
simplifying the equation, we get
P(F G) = 0.667
Using addition Rue to attain P(F or G) we get
P(F or G) = PF + PG - P(F + G)
substitute the values in the above equation, we get
[tex]$& P(\text { For } G)=5 / 12+4 / 12-(1 / 12) \\[/tex]
simplifying the equation, we get
[tex]$ P({For} G)=5 / 12+1 / 4 \\[/tex]
[tex]$& P(\text { For } G)=\frac{8}{12}[/tex]
Therefore, the value of P(F or G) using the general addition rule be 8/12.
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10. Higher Order Thinking Consider the functions
g(x) = 2x + 1 and h(x) = 2x + 2 for the domain
0 < x < 5.
a. Without evaluating or graphing the functions, how do the ranges compare?
The entire range of values visible on a graph, from left to right, constitutes the graph's domain. All of the graph's values, from lower to higher, are included in the range.
How do you tell the difference between domain and range on a graph?
A function's range is all of its y values, which are its outputs, and all of its x values, which are its inputs. The entire range of values visible on a graph, from left to right, constitutes the graph's domain. All of the graph's values, from lower to higher, are included in the range.
Every potential value of y is included in a function's range. A function's range can be determined using the formula y = f. (x). Only if every x value in a relation has a unique y value can it be considered a function.
The various output values are displayed on the y-axis and make up the range. Remember that the domain and range may be larger than the observable values if the graph extends beyond the area that we can view.
Without evaluating or graphing the functions, it is not possible to determine the exact ranges of g(x) and h(x). However, we can see that both functions are linear and have the same slope (2), so their ranges will be in the same direction.
Since the y-intercept of g(x) is 1 and the y-intercept of h(x) is 2, it can be inferred that the range of h(x) will be greater than the range of g(x) for all values of x in the given domain (0 < x < 5).
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If Cos A = 9/41 and tan B = 28/45 angle A and B are in quadrant I find the value of Tan(A+B)
HELP THIS WILL MAKE MY GRADE GO UP!!!!!!!
A sixth grade class is going on a field trip. The school is providing one sack lunch for each student. Each lunch has either a ham, turkey, or bologna sandwich along with either carrots or celery.
Identify which list below shows all the possible outcomes of sack lunches, and select the outcomes from that list that represent picking a ham or turkey sandwich with carrots if there are an equal number of each type of sack lunch and students are randomly selecting their lunch. Use this information to mark the probability on the number line.
The list below that shows all the possible outcomes of sack lunches, and select the outcomes from that list that represent picking a ham or turkey sandwich with carrots List 2
How to identify the list?the statement states that the school is providing one sack lunch for each student. Each lunch has either a ham, turkey, or bologna sandwich along with either carrots or celery.
List 1 mentions that there is "Ham, Carrots, celery". We know that students can only have either carrots or celery, but the list shows that the students have both. Therefore, list 2 is correct.
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help please dont understand why this is wrong
Answer:
I also don't know good luck girly
Mark ha 15 feet of tring. He will cut the tring into equal length of 7 inche each. How much tring will be left after he cut a many piece of thee length a poible
25 equal pieces of lenth 7 inch is possible and 5 inch remains after the cutting string.
What is inequality?An inequality is a statement that compares the value of one expression to another, using one of the symbols: <, >, ≤, ≥, ≠. It shows a relationship between two expressions that are not equal. It can be represented in a graph as a boundary line, with a specific region representing the solution set of the inequality.
Convert value of foot to inches:
we know that 1 foot = 12 inches
15 feet ⇒ 15 feet × 12 inches/ft = 180 inches
now the let the number of peice be x
so 7*x<=180
=> x<=180/7
=> x<=25.71
solving the inequality we get
so there is 25 equal pieces of string of length 7 is possible.
remaining piece = 180 - 25*7
=> 180 - 175
=> 5
so 5 inch remains after cutting the string
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The letters of the alphabet are written on cards and placed in a hat. What is the probability of drawing a constant, replacing it, and then drawing a vowel
The probability of drawing a constant, replacing it, and then drawing a vowel is given as follows:
105/676.
How to obtain the probability?A probability is obtained as the division of the number of desired outcomes by the number of total outcomes.
In the context of this problem, we have that:
For the first hat, 21/26 probability of drawing a consonant.For the second hat, 5/26 probability of drawing a vowel.Hence the probability of drawing a constant, replacing it, and then drawing a vowel is calculated as follows:
p = 21/26 x 5/26 = 105/676.
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A regular polygon i uch that it interior angle exceed three time the exterior angle by 20 degree find the number of ide the polygon ha
Answer:
9
Step-by-step explanation:
exterior angle=x⁰
interior angle=3x⁰+20⁰
3x⁰+20⁰+x⁰=180⁰
4x=160⁰
x=40⁰
number of sides = 360⁰/exterior angle
360⁰/40⁰= 9sides
Graph 16x - 4y = 12
(You can only graph on the given points)
*NO IN BETWEEN*
Step-by-step explanation:
16x - 4y = 12
4x - y = 3
4x = 3+y
x= 3+y/4
for y = 1
x= 3+1/4 = 1
y = 2
x=3+2/4 = 5/4 = 1.25
y = 3
x = 3+3/4 = 6/4 = 1.5
find the gcf of each pair of monomials : x3y2 and x5y
Answer: [tex]\text{x}^3\text{y}[/tex]
This is the same as writing x^3y
===================================
Explanation:
When finding the GCF, we look for the smallest exponent for each variable.
The x terms of the given expressions are x^3 and x^5. The smallest exponent here is 3, so x^3 is part of the GCF.
The y terms are y^2 and y. Think of y as y^1, which shows 1 is the smallest exponent. We'll have y as part of the GCF.
-----------
We found that...
x^3 is part of the GCFy is also part of the GCFThe overall GCF is x^3y which can be written as [tex]\text{x}^3\text{y}[/tex]
Side note: We ignore the coefficients since they are 1 for each monomial.
Help me please!!!!! I need to get this done before 6:00 and it’s currently 5:45!!!
Reason: It's the coefficient to the left of the input variable.
Please help me with these questions
The two column proof showing that ΔKLG ≅ ΔMLG is as detailed below.
How to carry out a two column proof?A two-column proof is defined as a geometric proof consists of a list of statements, and the reasons for which we know those statements to be true.
Statement 1: GL ⊥ KM
Reason 1: Given
Statement 2: KG ≅ MG
Reason 2: Given
Statement 3: ∠GLK and ∠GLM are right angles
Reason 3: Definition of right angles
Statement 4: GL ≅ GL
Reason 4: Reflexive Property
Statement 5: ΔKLG and ΔMLG are right triangles
Reason 5: definition of right triangles
Statement 6: ΔKLG ≅ ΔMLG
Reason 6: HL Congruency postulate
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A parachutist's elevation changes by -35 ft in 5 seconds. What is the change in the parachutist's elevation each second?
Answer:
7 feet per second
Step-by-step explanation:
The change in elevation of the parachutist is -35 ft in 5 seconds. To find the change in elevation per second, we can divide the total change by the number of seconds.
Change in elevation per second = -35 ft / 5 seconds = -7 ft/s
So the parachutist's elevation changes by -7 ft/s each second.
It means the elevation of the parachute is decreasing by 7 feet per second.
The function h(t) = −16t2 48t 36 model the height of a ball, in feet, at t econd after being thrown into the air. What i a reaonable range for the function?
The function h(t) models the height of a ball thrown into the air, so it makes sense for the range of the function to be all non-negative values. This means that the range of the function will be all non-negative values up until the point where the ball reaches its maximum height, and then it will decrease to zero as the ball hits the ground.
To determine when the ball reaches its maximum height, we can find the vertex of the parabola. The vertex is found by taking the average of the x-coordinates of the roots of the quadratic. In this case, the roots of the quadratic are found by setting h(t) = 0 and solving for t:
-16t^2 + 48t - 36 = 0
By factoring the quadratic, we get:
(t-9)(-16t+4) = 0
So the roots of the quadratic are t = 9 and t = -0.25. The average of these two values is (9 - 0.25)/2 = 4.375. Therefore, the vertex of the parabola is at (4.375, h(4.375)).
To find the y-coordinate of the vertex, we can plug in 4.375 for t in the function h(t):
h(4.375) = -16(4.375)^2 + 48(4.375) - 36 = -16(19.140625) + 195 - 36 = -307.5 + 159 = -148.5
So the vertex of the parabola is at (4.375, -148.5). This means that the maximum height of the ball is -148.5 feet. Since the ball can't go below ground level, the range of the function h(t) is all non-negative values less than or equal to -148.5. Therefore, a reasonable range for the function is [-148.5, ∞).
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The convienience store sells a 16-ounce bottle of water for $2.40 and a 28 ounce bottle of water for $2.80. Tiana wants to compare the unit rates to find out which is a better deal. Which one is a better deal?
To compare the unit rates, we need to find the cost per ounce for each bottle of water.
For the 16-ounce bottle, the unit rate is:
$2.40 / 16 ounces = $0.15 per ounce
For the 28-ounce bottle, the unit rate is:
$2.80 / 28 ounces = $0.10 per ounce
From the unit rate we can see that the 28 ounce bottle of water is a better deal because it cost $0.10 per ounce while the 16 ounce bottle cost $0.15 per ounce.
It's important to know that as the amount of water increases the price decreases making the 28 ounce bottle cheaper than the 16 ounce bottle.
What is the product of improper fraction?.
Improper fraction is greater than 1, their product is also greater than 1.
Now, According to the question:
A fraction is called a proper fraction if its numerator is less than its denominator. The value of a proper fraction is always less than 1. Whereas, in an improper fraction, the numerator is equal to or greater than the denominator. Its value is always one or greater than one. Consider 1/3 and 3/2. Their product is 1/3 × 3/2 = 3/6 = 1/2
Therefore, according to the definition, the product of a proper and improper fraction is less than the improper fraction.
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