Answer:
y = 5x + 100
Step-by-step explanation:
Using the x and corresponding y values from the given table.
Let's use the coordinate (0, 100) and (1, 105)
The equation in slope intercept form is expressed as y = mx+c
m is the slope
c is the y-intercept
Slope m = y2-y1/x2-x1
m = 105-100/1-0
m = 5/1
m =5
Get the y intercept
Substitute the slope m = 5 and any point say (0, 100) into the equation
y = mx+c
100 = 5(0) + c
100 = c
c = 100
Get the required equation;
y = mx+c
y = 5x + 100
Hence the equation in slope-intercept form that represents the data is expressed as y = 5x + 100
coach purchased footballs and basketballs from two different stores.
Each football costs the same amount, and each basketball costs the same
amount.
At the first store, the coach paid $110 for 5 footballs and 14 basketballs.
At the second store, the coach paid $82.50 for 10 footballs and 6
basketballs.
What was the cost in dollars of each basketball?
Answer:
$6.25Step-by-step explanation:
Let football cost be f and basketball cost be b
We have two equations as per given:
5f + 14b = 11010f + 6b = 82.50We need to find b, therefore we'll eliminate f
To do so we'll double the first equation and subtract the second one:
2(5f + 14b) - (10f + 6b) = 2(110) - 82.5028b - 6b = 220 - 82.5022b = 137.5b = 137.5/22b = 6.25Each basketball costs $6.25
Question:
Coach purchased footballs and basketballs from two different stores.
Each football costs the same amount, and each basketball costs the same amount.
At the first store, the coach paid $110 for 5 footballs and 14 basketballs.
At the second store, the coach paid $82.50 for 10 footballs and 6 basketballs.
What was the cost in dollars of Each basketball?
Answer:
Probably 7
REAL Answer:
6.25
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A line with a negative slope is perpendicular to one of the lines shown. What is its slope? Use the graph shown below. The slope is:
Given:
A line is perpendicular to the given line and having negative slope.
To find:
The slope of the line.
Solution:
We know that, product of slopes of two perpendicular lines is -1.
[tex]m_1\cdot m_2=-1[/tex]
[tex]m_1=-\dfrac{1}{m_2}[/tex]
It means, one slope is opposite and reciprocal of other.
Slope formula:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
From the given graph it is clear that, blue line passes through (0,3) and (2,4). So, slope of blue line is
[tex]m_B=\dfrac{4-3}{2-0}[/tex]
[tex]m_B=\dfrac{1}{2}[/tex]
The slope of blue line is [tex]\dfrac{1}{2}[/tex]. So, slope of the line which is perpendicular to the blue line is -2, which is negative.
From the given graph it is clear that, red line passes through (0,4) and (4,3). So, slope of red line is
[tex]m_R=\dfrac{3-4}{4-0}[/tex]
[tex]m_R=\dfrac{-1}{4}[/tex]
The slope of blue line is [tex]-\dfrac{1}{4}[/tex]. So, slope of the line which is perpendicular to the blue line is 4, which is positive.
Therefore, the slope of the line which is perpendicular to the given line and having negative slope, is -2.
What is angle U?
A) 129
B) 42
C) 34
D) 43
Step-by-step explanation:
4x+2+95=-7+17x
104=13x
x=8
for angle U=34 degrees
the answer is C
Alexis will graph the linear equation 6x 2y = 12 by plotting the x-intercept and y-
intercept.
Write the coordinates of the intercepts that Alexis should use.
Answer:
(0,6) and (2,0)
Step-by-step explanation:
y=-3x+6
Where x = 0 is equal to y=6 (Meaning the intercept is (0,6))
And where y= o is equal to x=2 (Meaning the intercept is (2,0))
Can someone plz tell me the coordinates for D’
PLEASE HELP VERY URGENT!!!!
Which of the following is equal to 16.4 ?
A. 16 • 4
B. 32
D. 64
Answer:
A or B
Step-by-step explanation:
Also i need help to
Answer:
A. [tex]\sqrt{16}[/tex] × [tex]\sqrt{4}[/tex]
I hope this helps!
The graph of a linear relationship passes
through (0, 2), (1,5), and (3, 11) but not
through (2, 7). Which of the following is
the equation for this linear relationship?
A y= 2x + 3 Cy=5x
B y = 3x + 2
Dy= 4x - 1
Answer:
The equation of the linear relationship is y = 3x + 2 ⇒ B
Step-by-step explanation:
To solve the question substitute the x in the equation by the x-coordinate of each point to find y, if y equals the y-coordinate of the point, then the point is on the graph of the equation
A.
∵ y = 2x + 3
→ Use the first point (0, 2)
∵ x = 0
→ Substitute x by 0 in the equation
∴ y = 2(0) + 3
∴ y = 0 + 3 = 3
∵ The y-coordinate is 2
∴ The point (0, 2) does not lie on the graph of the relationship
∴ The equation y = 2x + 3 doesn't represent the equation of the relationship
B.
∵ y = 3x + 2
→ Use the first point (0, 2)
∵ x = 0
→ Substitute x by 0 in the equation
∴ y = 3(0) + 2
∴ y = 0 + 2 = 2
∵ The y-coordinate is 2
∴ The point (0, 2) lies on the graph of the relationship
→ Use the second point (1, 5)
∵ x = 1
→ Substitute x by 1 in the equation
∴ y = 3(1) + 2
∴ y = 3 + 2 = 5
∵ The y-coordinate is 5
∴ The point (1, 5) lies on the graph of the relationship
→ Use the third point (3, 11)
∵ x = 3
→ Substitute x by 3 in the equation
∴ y = 3(3) + 2
∴ y = 9 + 2 = 11
∵ The y-coordinate is 11
∴ The point (3, 11) lies on the graph of the relationship
→ Use the fourth point (2, 7)
∵ x = 2
→ Substitute x by 2 in the equation
∴ y = 3(2) + 2
∴ y = 6 + 2 = 8
∵ The y-coordinate is 7
∴ The point (2, 7) doesn't lie on the graph of the relationship
∴ The equation of the linear relationship is y = 3x + 2
Need Help ASAP
Slope = -7;(4,-30)
Answer:
y=-7x-2
Step-by-step explanation:
I assume you need the equation for the line, so that's what I'm solving for here.
1. Start by putting the slope and the coordinates into point slope form, which is y-y1=m(x-x1)
y+30=-7(x-4)
2. Distribute -7 to (x-4) (or multiply x and -4 by -7).
y+30=-7x+28
3. Subtract 30 from both sides to get y by itself.
y=-7x-2
Torrance is shopping for a school party. His donation to the party is snack bags and juice boxes. Snack bags come in packages of 12, and juice boxes come in a package of 10. What is the fewest number of packages of each product Torrance must purchase so that he has the same number of snack bags and juice boxes? Use paper to show what you know about the least common multiple to support your answer. Enter your answers in the boxes. Torrance must purchase packages of snack bags and packages of juice boxes to have the same number of each
Answer:
Torrance must purchase 5 packages of snack bags and 6 packages of juice boxes.
Step-by-step explanation:
Given that:
Snack bags come in packages of 12.
Juice bags come in packages of 10.
To find:
Fewest number of packages of each product so that there are same number of snack bags and juice boxes.
Solution:
Number of snack bags when 1 package is bought = 12
Number of snack bags when 2 package is bought = 24
Number of snack bags when 3 package is bought = 36
Number of snack bags when 4 package is bought = 48
Number of snack bags when 5 package is bought = 60
Number of snack bags when 6 package is bought = 72
Number of juice bags when 1 package is bought = 10
Number of juice bags when 2 package is bought = 20
Number of juice bags when 3 package is bought = 30
Number of juice bags when 4 package is bought = 40
Number of juice bags when 5 package is bought = 50
Number of juice bags when 6 package is bought = 60
Number of juice bags when 7 package is bought = 70
We can see that when 5 packages of snack bags are bought and 6 packages of juice bags are bought, 60 bags of each are bought.
This can be found by finding the LCM as well.
LCM of 10 and 12 is 60.
It means we need to buy 60 bags of each item.
And we can easily find the number of packages for each.
Number of packages of snack bags to be bought = [tex]\frac{60}{12} =5[/tex]
Number of packages of juice bags to be bought = [tex]\frac{60}{10} = 6[/tex]
Torrance must purchase 5 packages of snack bags and 6 packages of juice boxes.
Can someone help me in this question
Answer:
The average speed of the athlete for the entire competition is approximately 21.23 km/hr
Step-by-step explanation:
The given parameters of the athlete performance in the triathlon are;
The length the athlete swims = 750 m = 0.75 km
The time the athletes spends swimming = 15 minutes = 0.25 hours
The speed with which the athlete cycles = 40 km/hr.
The time the athletes spends while cycling = 30 minutes = 0.5 hours
The distance the athlete ran = 5 km
The average speed with which the athlete ran = 3 m/s = 10.8 km/hr.
The formula for average speed, s is Average speed = Total distance/(Total time)
The distance, ∑d, the athlete covered in the entire competition is given as follows;
∑d = 0.75 km + 0.5 hr. × 40 km/hr. + 5 km = 0.75 km + 20 km + 5 km = 25.75 km
The distance, ∑t, the athlete spends in the entire competition is given as follows;
∑t = 0.25 hr. + 0.5 hr. + 5 km/(10.8 km/hr.) = 0.25 hr. + 0.5 hr. + 0.463 hr. ≈ 1.213 hr.;
Therefore;
The average speed of the athlete for the entire competition, s = ∑d/∑t = 25.75 km/(1.213 hr.) ≈ 21.23 km/hr.
Which situation leads to a unit cost of $6 per
football ticket?
Select one:
1)$6 paid for 2 football tickets
2)$6 paid for 6 football tickets
3)12 football tickets for $72
4)6 football tickets for $24
PLEASE HELP ME!! !!!!!!!!!!!!!!!!!!!!!!!!!!!!
Equations and inequalities fall under the umbrella of algebra. Algebra is the category of math where letters, like x and y, are used to represent numbers. These letters are called variables, and the goal of equations and inequalities is to find the value of the variable. An equation is a statement that two expressions or values are equal, shown by an equal sign, which looks like this: =. An inequality is a statement that two expressions or values are not equal, shown by an inequality sign. The four inequality signs look like this: > (“greater than”), 437
A= y - 78
B x = 46 + y
C= 4x + 5 = 950
D= 2b - 17 > 437
Answer:
b
Step-by-step explanation:
Answer:
the answer is D.
Step-by-step explanation:
Divide the polynomials.
right answers only
Answer:
x+9
Step-by-step explanation:
I got it right on the quiz
Please ASAP I WILL MARK YOU AS BRANLIEST
The area of a garden plot can be represented by the expression 84z - 54. The garden will be divided into six sections for planting six different vegetables. The sections will be equal in area. Write an expression that represents the area of each section.
Answer:
14z-9
Step-by-step explanation:
[tex]\frac{84z-54}{6}[/tex]
OK so boom I NNEED HELP!! :)
A pentagon will be dilated on a coordinate grid to create a larger pentagon. The pentagon is dilated using the origin as the center of the dilation. What rule could represent this dilation?
A. (x, y)→(x+3, y−3)
B. (x, y)→(x−2, y+2)
C. (x, y)→(12x, 12y)
D. (x, y)→(52x, 52y)
Answer:
a
Step-by-step explanation:
The pentagon is dilated 3 units to the left and 3 units vertically down and the rule is ( x , y ) → ( x + 3 , y - 3 )
What is Dilation?Resizing an item uses a transition called Dilation. Dilation is used to enlarge or contract the items. The result of this transformation is an image with the same shape as the original. However, there is a variation in the shape's size. Dilation transformations ensure that the shape will stay the same and that corresponding angles will be congruent
Given data ,
Let the pentagon be represented as A
Now , the dilated pentagon is represented as A'
Now , the center of dilation is the origin O ( 0 , 0 )
where it is dilated 3 units to the left
So , the x coordinate is changed to x + 3
And , dilated vertically downward by 3 units
So , the y coordinate is changed to y - 3
Hence , the dilated pentagon is ( x , y ) → ( x + 3 , y - 3 )
To learn more about dilation click :
https://brainly.com/question/13176891
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Given the graphed function below, which of the following ordered pairs are
found on the inverse function?
Answer: Option B.
Step-by-step explanation:
A linear function can be written as:
y = a*x + b
where a is the slope and b is the y-intercept.
if the line passes through the points (ax, ay) and (bx, by) then the slope is:
a = (bx - ax)/(by - ay)
In this case, we can see that the line passes through the points:
(1, 3) and (2, 1)
Then the slope is:
a = (1 - 3)/(2 - 1) = -2
y = -2*x + b
In the graph we also can see that the line intersects the y-axis at y = 5, then b = 5.
The line is:
y = f(x) = -2*x + 5.
the inverse function is such that:
g( f(x)) = x
to find the inverse function of a linear equation, we just could isolate x.
y - 5 = -2x
-y/2 + 2.5 = x
Then we could write the inverse function as:
g(x) = - x/2 + 2.5
Now we need to see which pairs belong to this line. I just will evaluate the function g(x) in different values of x, and see which points belong to the line.
g(9) = -9/2 + 2.5 = -4.5 + 2.5 = -2
(9, -2) belongs to the line.
g(7) = -7/2 + 2.5 = -3.5 + 2.5 = -1
Then (7, -1) belongs to this line.
g(5) = -5/2 + 2.5 = 0
Then the point (5, 0) belong to this line.
We can already see that all these points are in option B, then option B is the correct one.
help me please! ill make you brainliest.
When creating your budget, make sure the amounts (both income and expenses)
a. are for the same time period.
b. total to zero.
c. create a negative balance.
d. are for the same amount.
Answer:
a. are for the same time period
i need help!! please
========================================================
Explanation:
The old dimensions of the rectangle were 30 by 15.
The new dimensions are 30+x by 15+x, where x is some positive number.
The new rectangle dimensions multiply to 1000
(30+x)(15+x) = 1000
Use the FOIL rule to expand out the left side like so
(30+x)(15+x) = 1000
450+30x+15x+x^2 = 1000
450+45x+x^2 = 1000
x^2+45x+450
Then lets get everything to one side
x^2+45x+450 = 1000
x^2+45x+450-1000 = 0
x^2+45x-550 = 0
---------------------
From here we use the quadratic formula
Plug in a = 1, b = 45, and c = -550.
[tex]x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-(45)\pm\sqrt{(45)^2-4(1)(-550)}}{2(1)}\\\\x = \frac{-45\pm\sqrt{4225}}{2}\\\\[/tex]
[tex]x = \frac{-45\pm65}{2}\\\\x = \frac{-45+65}{2} \ \text{ or } \ x = \frac{-45-65}{2}\\\\x = \frac{20}{2} \ \text{ or } \ x = \frac{-110}{2}\\\\x = 10 \ \text{ or } \ x = -55\\\\[/tex]
Earlier we defined x to be a positive number. This means we ignore x = -55. It makes no sense to add on a negative amount to each dimension.
The only practical answer is x = 10.
So each dimension is increased by 10 feet.
--------------------------
If x = 10, then the old dimensions of 30 by 15 bump up to 30+10 = 40 by 15+10 = 25
Then note how 40*25 = 1000, which helps confirm we have the correct dimensions.
--------------------------
Now go back to the question at hand: we want to find the new width. The old width was 30 feet. The new width is 30+x = 30+10 = 40 feet
A pair of new headphones cost $20 to make. They get marked up in price 250% by a retail store before they are sold. How much will the headphones cost?
Answer:
$50
Step-by-step explanation:
Change 250 to a decimal:
250/100 = 2.50
multiple the price by this decimal to find the new price:
$20 x 2.50 = $50
explain how a yard foot and inch are related
Review & Answer:
Measuring with inches will give us inches. If you look at a ruler, inches are about a pinky finger. If 12 inches together, it is called a yard. If 3 feets are together, it is known as a yard foot
-3( 2r + 7) = 3 pls help
Answer:
R=-4
Step-by-step explanation:
-3(2r+7)=3
-6r-21=3
-6r=24
r=-4
I hope this is correct and have a great day
Can somebody tell me the equation to this please ?? ASAP
Answer:
y= -5/1 + 1.90
Step-by-step explanation:
The y-intercept is hard to tell
But the rest is right
Answer:
I have a picture if that helps
Step-by-step explanation:
25 points, will mark brainliest!!
Step-by-step explanation:
Alex buys x oranges and Bobbie buys x + 2 oranges. Together they buy 2x + 2 oranges.
$4.20 / $0.21 = 20 oranges.
2x + 2 = 20
2x = 18
x = 9
Hence the value of x is 9.
Answer:
x=9
Step-by-step explanation:
The total number of oranges purchased is x + x+2 = 2x+2
They cost 21 cents each
(2x+2) *.21
This is equal to 4.20
(2x+2) *.21 =4.20
Divide each side by .21
(2x+2) *.21/.21 =4.20/.21
2x+2 = 20
Subtract 2 from each side
2x+2-2 =20-2
2x= 18
Divide by 2
2x/2 =18/2
x =9
Please help me fast
Answer:
9:11
Step-by-step explanation:
9000-4950=4050
(refer to picture for the rest)
What is the slope of the line? *
Answer:
The line isnt there but....
Step-by-step explanation:
I suggest to make a table
x y
( ) ( )
( ) ( )
and on each section put the points on the correct input and output
once you do that you want to see how much you need to add or subtract to get to the other input or output
For example
if i have ( 5, 10) and ( -5, -10)
I would make a table that looks like this with each of the inputs and outputs.....
x y
5 10
-5 -10
From 10 to -10 you need to subtract 20
from 8 to -8 you need to subtract 10
so y/x
-20/-10
2 negative numbers make a positive so...
your slope will be 2
So with any numbers that they give you, use what I showed u
Hope this helped to clarify a little!
Answer:
yeah that is what you do i could give an awnser if ther was a pc
YALL I NEED HELP, I’m BEGGINGGGGGF
Answer:
the first one
Step-by-step explanation:
☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️
1.
(03.01 LC)
The leg of a right triangle is 2 units and the hypotenuse is 4 units. What is the length, in units, of the other leg of the triangle? (5 points)
2 units
6 units
Square root of 12 units
Square root of 20 units
Answer:
[tex]\sqrt{12}[/tex] units
Step-by-step explanation:
Using Pythagoras' identity in the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides.
let x be the other leg, then
x² + 2² = 4²
x² + 4 = 16 ( subtract 4 from both sides )
x² = 12 ( take the square root of both sides )
x = [tex]\sqrt{12}[/tex] units
which can be simplified to 2[tex]\sqrt{3}[/tex] units , if required.
a.
Missing x:-2
Missing y:0
c.
Missing x:-2
Missing y:2
b.
Missing x:0
Missing y:1
d.
Missing x:-1
Missing y:1
Answer:
B
Step-by-step explanation:
The pattern is x/-3
y+1=5(x−9) is it linear or non-linear?
Answer:
yes its linear
Step-by-step explanation: