Write an equation in slope-intercept form that represents the data. Show ALL work.
1.)
0
1
2
Sales per
day(x)
Daily pay ($), y
100
105
110
115
11212
I
Equation

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.

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

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

Answer:

14z-9

Step-by-step explanation:

[tex]\frac{84z-54}{6}[/tex]

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.

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

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

Answer:

Step-by-step explanation:

Let football cost be f and basketball cost be b

We have two equations as per given:

We need to find b, therefore we'll eliminate f

To do so we'll double the first equation and subtract the second one:

Each 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

Your Welcome! (^·^)

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Answer:

the first one

Step-by-step explanation:

☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️

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

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 )

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

#SPJ3

Answer:

a. are for the same time period

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

Answer:

yes its linear

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

The pattern is x/-3

Answer:

9:11

Step-by-step explanation:

9000-4950=4050

(refer to picture for the rest)

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

Answer:

b

Step-by-step explanation:

Answer:

the answer is D.

Step-by-step explanation:

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:

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.

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.

Answer:

x+9

Step-by-step explanation:

I got it right on the quiz

========================================================

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

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))

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!

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.

Step-by-step explanation:

4x+2+95=-7+17x

104=13x

x=8

for angle U=34 degrees

the answer is C