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Answer:

Step-by-step explanation:

- 25x + 15y = 750

- (30, 0) are coordinates of x-intercept. If there is no pool-cleaning job student has to do 30 lawn-mowing.  

- (0, 50) are coordinates of y-intercept. If there is no lawn-mowing job student has to do 50 pool-cleanings.

- ( 15 , 25 ) mean 15 lawn-mowing and 25 pool-cleanings

$25(15) + $15(25) = $750

$375 + $375 = $750

Answer:

Each smoothie was $4.5.

Step-by-step explanation:

We know that he has $50 to use, and after he used it he had $14 left. That means he used $36.

If you divide 36 by 8, you get 4.5

Hope this helped! :D

Answer:

[tex]r=6[/tex]

Step-by-step explanation:

Make an equation in point-slope form where:

Insert the known values:

[tex](-2_{x1},8_{y1})\\\\m=-\frac{1}{2} \\\\y-8=-\frac{1}{2} (x-(-2))\\\\y-8=-\frac{1}{2} (x+2)[/tex]

Use the distributive property:

[tex]-\frac{1}{2} (x+2)\\\\-\frac{1}{2}(x)-\frac{1}{2}(2)[/tex]

Simplify. Turn the 2 into a fraction by converting to the fraction [tex]\frac{2}{1}[/tex] , which is still equal to 2:

[tex]-\frac{1}{2}(2)\\\\-\frac{1}{2}*\frac{2}{1}[/tex]

Multiply across:

[tex]-\frac{1}{2}*\frac{2}{1} =-\frac{2}{2} =-1[/tex]

Re-insert into the equation:

[tex]y-8=-\frac{1}{2}x-1[/tex]

Solve for y. Add 8 to both sides (to isolate y using inverse operations):

[tex]y-8+8=-\frac{1}{2}x-1+8\\\\y=-\frac{1}{2}x+7[/tex]

Now insert the y value of the other point to find r (which will have the same value as x):

[tex](r_{x},4_{y})\\\\4=-\frac{1}{2}x+7[/tex]

Simplify the fraction by multiplying. Add 1 as the denominator for x:

[tex]-\frac{1}{2}*\frac{x}{1}[/tex]

Multiply across:

[tex]-\frac{1}{2}*\frac{x}{1}=-\frac{x}{2}[/tex]

Re-insert:

[tex]4=-\frac{x}{2} +7[/tex]

Subtract 7 from both sides (to isolate the variable using inverse operations):

[tex]4-7=-\frac{x}{2} +7-7\\\\-3=-\frac{x}{2}[/tex]

Multiply both sides by 2 (to undo the fraction using inverse operations):

[tex]2(-3)=2(-\frac{x}{2}) \\\\-6=-x[/tex]

Divide both sides by -1 (to make the variable positive, since two negatives make a positive):

[tex]\frac{-6}{-1} =\frac{-x}{-1} \\\\x=6[/tex]

Therefore, the value of r is 6.

:Done

Answer:

√3, and -√3

Step-by-step explanation:

to find the zeros or roots of the polinomial x²-3 make it equal to zero and solve for x

x²-3=0 add 3 to both sides to isolate x

x² = 3 squareroot both sides

√x²= √3

x= ±√3 are the two zeros

Answer:

b

Step-by-step explanation:

when x is -2, y is 7

when x is -1, y is 5

we can see y is decreasing and it continues to decrease until x is 3

The average rate of change is -12/5 for the interval [-2, 3] which is the negative average rate of change option (B) is correct.

It is defined as the change in values of a dependent variable with respect to the independent variables.

It is given that:

A function g(x) is shown in the table.

As we know the average rate of change of a function can be given:

The average rate of change = change in y values/change in x values

For the interval [1, 5]

The average rate of change = (2-0)/(5-1) = 2/4 = 1/2

For the interval [-2, 3]

The average rate of change = (-5-7)/(3+2) = -12/5

For the interval [-5, 0]

The average rate of change = (3-0)/(0+5) = 3/5

For the interval [-4, -1]

The average rate of change = (5-2)/(-1+4) = 3/3 = 1

Thus, the average rate of change is -12/5 for the interval [-2, 3] which is the negative average rate of change option (B) is correct.

Learn more about the rate of change here:

brainly.com/question/12786410

#SPJ5

Answer:

m = 7/2

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

correct on edg

Answer:

10

Step-by-step explanation:

edge

Answer:

b) simplify the constant

c)isolate the variable by dividing the coefficient

Step-by-step explanation:

Answer:

[tex]|x-93|=1.6[/tex]

Step-by-step explanation:

Let x be the Maximum and Minimum Sun Earth distance

The average distance between Earth and Sun is 93 million miles.

The distance varies by 1.6 million miles.

The equation to find the maximum and minimum value will be

[tex]|x-93|=1.6[/tex]

When modulus function is used one value of the function will be positive and the other will be negative.

[tex]x-93=1.6\\\Rightarrow x=93+1.6\\\Rightarrow x=94.6[/tex]

[tex]-(x-93)=1.6\\\Rightarrow 93-x=1.6\\\Rightarrow x=93-1.6\\\Rightarrow x=91.4[/tex]

So, the maximum and minimum Earth Sun distance is 94.6 and 91.4 million miles respectively.

Answer:

35x=50

Step-by-step explanation:

this is the equation. Because its asking each month or monthly fee is $35. So its 35x=50

Answer:

0x, 0-30x, 0-x, 0 40x

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

[tex]\frac{-8--13}{-16--17} =\frac{5}{1}= 5[/tex]

Answer:

Step-by-step explanation:

Your answer is the first picture (upper left)

Answer:

6.75 miles

Step-by-step explanation:

First, you need to find the unit rate by dividing 27/2. This equals 13.5. Then, multiply this by 1/2 to get 6.75 miles.

Answer:

500-10x=250

x=how much the bird descended in a second

the bird will land on the ground in another 10 seconds.

Step-by-step explanation:

the bird will land on the ground in 10 seconds since it descended 250 ft in 10 seconds so that is 25 ft per second. then do 250/25 and you get 10. that is how you know the bird will land on the ground in 10 seconds.

Answer:

a) [tex]h(t)=500-25t[/tex]

b) [tex]t=20[/tex]

Step-by-step explanation:

a)

Let [tex]h[/tex] = height above ground

Let [tex]t[/tex] = time

Because the bird descended down to 250 feet in 10 seconds with a steady rate, that means it descends 25 feet per second.

∴   [tex]h(t) = 500-25t[/tex]

b)

To find the time it takes until the bird reaches the ground, [tex]h[/tex] must equal [tex]0[/tex]:

[tex]0=500-25t[/tex]

[tex]25t=500[/tex]

[tex]t=20[/tex]

∴ It takes 20 seconds for the bird to reach the ground.

Answer:

y=-3/4x

Step-by-step explanation:

the form is "y=mx(+/-b). m is slope. b is y-intercept.

Answer:

There is nothing attached

Step-by-step explanation:

No question given. What is the problem?

Answer:

it’s D

Step-by-step explanation:

A) 6 cm, 23 cm, 11 cm

B) 10 cm, 15 cm, 24 cm

C) 22 cm, 6 cm, 6 cm

D) 15 cm, 9 cm, 24 cm

Answer:

20/19

Step-by-step explanation:

[tex]\frac{20--20}{20--18} =\frac{40}{38}= \frac{20}{19}[/tex]

Answer:

d

Step-by-step explanation:

Answer:

96

Step-by-step explanation:

This is the answer because:

1) 1 shade has 12 different colors

2) Therefore, we multiply 12 and 8 together

3) 12 x 8 = 96

Hope this helps!

Answer:

Ok

Step-by-step explanation:

Answer:

1.88

Step-by-step explanation:

Answer:

Option B is correct option.

Step-by-step explanation:

We need to identify equations written in factored form.

Factored form: A factored form of expression is an expression broken down into a product of its factors.

In the given options A, C and D we don't have product of factors.

Only option B consists of product of factors.

So, Option B is correct option.

Answer:

(-1, 0)

Step-by-step explanation:

Answer:

y-y1 = m(x-x1)

y - 2 = 3(x-1)

y=3x-3+2

y=3x-1

Step-by-step explanation:

first you type down point slope formula

then you plug in the information you have point (1,2) 1 is x1 and 2 is y1 m is 3 because m = slope

then you have to distribute the 3 to the x and the -1 and then isolate y

(how to isolate the y) you must do the opposite of -2 which is +2 whatever you do on one side you have to do to the other

then you combine like terms 3x is alone and -3 +2 equals -1

there is your answer hope that works.

Answer:

59.5 units

Step-by-step explanation:

A rectangle is a quadrilateral (has four side) in which opposite sides are parallel and the diagonals bisect each other. The perimeter of a rectangle is:

Perimeter = 2(length + breadth) = 2(l + b)

The  perimeter of rectangle WXYZ is 34 inches. Therefore:

34 = 2(l + b)

l + b = 17

Rectangle ABCD is formed by dilating rectangle WXYZ by a scale factor of 1.75. Let l' = length of ABCD and b' = breadth of ABCD hence:

Length of ABCD = l' = 1.75l

Breadth of ABCD = b' = 1.75b

Perimeter of ABCD = 2(l' + b') = 2(1.75l + 1.75b) = 2(1.75)(l + b) = 3.5(l + b)

Perimeter of ABCD = 3.5(17) = 59.5 units

Answer:

59.5

Step-by-step explanation: