The graph of f passes through (-2,7) and is perpendicular to the line whose equation is x= -16.
The equation of the function is

An integer is a whole number that can be positive, negative, or zero.

The integer that represents the change in the amount of money in Gabe's wallet is -9.

An integer is a whole number that can be positive, negative, or zero.

We have,

Salad cost = $9

Let the total amount in the wallet = $M

Now the amount in the wallet = $M - $9

There will be $9 less in Gabe's wallet.

The change can be denoted by a negative integer -9 from the wallet.

Thus,

The integer that represents the change in the amount of money in Gabe's wallet is -9.

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Answer:

4 hours      

Step-by-step explanation:

Big time ski mountain charges $5 per hour plus $50 insurance.

Powder hills charges $10 per hour plus $30 insurance.

Let the number of hours be x.

For big time ski mountain, it means the total cost of x hours of lesson is:

[tex]B=50+5(x)\\B=50+5x[/tex]

For powder hills , it means the total cost of x hours of lesson is:

[tex]P=30+10(x)\\P=30+10x\\[/tex]

We  need to equate both equations to find the time that the costs would be the same.

That is :

[tex]50+5x=30+10x[/tex]

Collect like terms:

[tex]10x-5=50-30\\5x=20[/tex]

Divide through by 5:

[tex]x=\frac{20}{5} \\x=4 hours[/tex]

It would take 4 hours for the cost of the lessons to be the same.

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Answer:

3,520

Step-by-step explanation:

Answer:

3,520 yards

Step-by-step explanation:

I converted miles to yards

Answer/Step-by-step explanation:

Function A has a rate of change of 10 and function B has a rate of change of 5, so function A has a greater rate of change.

y = mx + b

The slope also known as rate of change is represented as the variable m in y = mx + b. So whatever number replacing m is the rate of change. In this problem 10 is the slope or rate of change.

In a graph, rate of change is determined by the rate in which the output is increasing or decreasing compared to the increase or decrease of the input. In this graph for every 1x added 5y is decreased. So, the rate of change is 5.

Answer:

Place one at (-7,-4) and the other at (-4,-6)

Step-by-step explanation:

Answer:

x = 4/9

Step-by-step explanation:

Remember when you subtract logs, you divide the numbers;

This means;

log x - log (x+4) = -1   ---------can be written as;

[tex]log\frac{x}{x+4} =-1[/tex]

Eliminate the log as

[tex]\frac{x}{x+4} =10^{-1}[/tex]

x/ x+4 = 1/10

10x=x+4 --------collect like terms

10x-x =4

9x = 4 ------find value of x

x= 4/9

Answer:

First choice, 1/3

Step-by-step explanation:

If you look at 1 to A to B to 2, you would see that there are 3 gaps between them. Therefore it's out of three, A to B is only one gap distance so it's 1/3

The answer is 1/3.

- emmatannerfns

Answer:

C.KM = 15

D.KL = 17

F.Perimeter or triangle JKL = 50

Step-by-step explanation:

just finished the test

Answer:

9/2

Step-by-step explanation:

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Answer:

9/2

Step-by-step explanation:

slope formula is :

( Y2-Y1)

----------- =

( X2-X1)

Answer:

I believe the answer is b I hope you do well:)

Answer:

The pond is already at the nearest tenth, 120 ft

Step-by-step explanation:

Answer:

1/3

Step-by-step explanation:

[tex]5(x+1)+3x=6-(4x-3) \\ \\ 5x+5+3x=6-4x+3 \\ \\ 8x+5=-4x+9 \\ \\ 12x=4 \\ \\ x=1/3[/tex]

Answer:

$9.98

Step-by-step explanation:

The first step is to calculate the total fabric that Calista has

= 2 1/2 + 1 3/4

= 5/2 + 7/4

= 17/4

The next step is to calculate the fabric that she needs

= 17/4-3

= 5/4

If each yard of fabric costs $7.98 then the amount needed can be calculated as follows

= 7.98 × 5/4

= 7.98 × 1.25

= 9.975

= $9.98

Hence Kalista needs $9.98

Answer:

A and D

Step-by-step explanation:

C

i gotta add words so i meat the 20 character limit :)

Answer:  Yes, the house is 12 m tall.

Step-by-step explanation:

Since the two triangles are similar, you can set up a proportion.

Like:  [tex]\frac{x}{8.8}= \frac{1.5}{1.1}[/tex]   (other proportions could be correct, as long as corresponding parts are lined up).

Solve by cross-multiplying (multiply each diagonal, then set equal).

This gives us:     1.1(x)  = 8.8(1.5)

Simplify:                 1.1x = 13.2

then divide both sides by 1.1 to solve for x:   x = 13.2/1.1 = 12

This tells us the height of the house is 12 m.  A 13 m ladder would ideally reach the top.

Answer: 7/12 + 1/3 is 11/12

Step-by-step explanation: Get a common denominator. On 1/3, multiply 3 and 1 by 4. The makes 4/12. Then, you can add 7/12 and 4/12.

7/12+1/3 in fractions is 11/12.

A fraction represents a part of a whole.

We have to find the value of 7/12+1/3

We have to find the LCM of denominators 12 and 3.

The LCM of 12 and 3 is 12

7+4/12

Seven plus four is eleven

11/12

Hence, 7/12+1/3 in fractions is 11/12.

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Answer:

-9

Step-by-step explanation:

you have to go left wards 6 times from -3

The correct answer is option C which is on the number line move 6 units left and stop at -9 the dolphin will now be at 9 feet below sea level.

A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.

It is given that a dolphin was swimming 3 feet below sea level. The number line shows the location of the dolphin. It then dove down 6 feet.

In the graph, we can see that from -3 point the 6 units left will be -9 point. Therefore the correct answer is option C which is on the number line move 6 units left and stop at -9 the dolphin will now be at 9 feet below sea level.

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The two functions appear to be symmetric about the y axis, and satisfy the equation:

40÷3 or [tex]13\frac{1}{3}[/tex]  square yards of tiles are needed.

To find the amount of square yards of tile needed, we will find the area. Now, to calculate the area in square yards, first thing needed in conversion of width of kitchen floor from feet to yard.

As per the known fact, 1 foot = 1÷3 yards

So, converting given width into yards, we will simply multiply

10 feet = (1÷3)×10

10 feet = 10÷3 yards

Now, calculating the square yards of tile needed or area.

Needed tiles = (10÷3)×4

Performing multiplication to find the square yards of tile needed -

Needed tiles = 40÷3 or [tex]13\frac{1}{3}[/tex] square yards.

Hence 40÷3 or [tex]13\frac{1}{3}[/tex] square yards of tile is needed.

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Answer:  44

               4

               13

Step-by-step explanation:

Answer: I am in 8th grade but am in virtual

Answer:

x = 6

Step-by-step explanation:

180° is always all triangles.

This is a right triangle, so that means that the angle that is unknown is 90.

Angles:

90

60

7x - 12

90 + 60 + 7x - 12 = 180

150 - 12 + 7x = 180

138 + 7x = 180

7x = 180 - 138

7x = 42

7x/7 = 42/7

x = 6

Therefore in each composite function we get different domains and ranges which is given below.

(1) f(x) = x+2 , g(x) = 3x - 1

(f + g)(x) = f(x) + g(x)

              =  x+2 + 3x - 1

             = 4x +1

Domain = (-∞ , ∞) and range = (-∞ , ∞)

(f - g )(x) = f(x) - g(x)

                =  x+2 -3x +1

               = -2x + 3

Domain = (-∞ , ∞) and range = (-∞ , ∞)

(f.g)(x) = f (x) g(x)

          = (x+2)( 3x - 1)

           = 3x²- x + 6x - 2

           = 3x²+ 5x -2

Domain = (-∞ , ∞) and range = [-49/12 ,∞)

(f/g)(x) = f(x)/g(x)

           = x+2/3x-1

Domain = (-∞ , 1/3) ∪ (1/3 ,∞) and range = (-∞ , 1/3) ∪ (1/3 ,∞)

(2) f(x) = x² - 5 and g(x) = -x +8

   (f + g)(x) = f(x) + g(x)

                 = x² - 5 -x +8

                 = x² - x +3

Domain = (-∞ , ∞) and range = [11/4 ,∞)

(f - g )(x) = f(x) - g(x)

              =  x² - 5 +x -8

              =  x² + x - 13

Domain = (-∞ , ∞) and range = [-53/4 ,∞)

(f.g)(x) = f (x) g(x)

          = ( x² - 5 )(- x +8)

          = -x³ + 8x² + 5x - 40

Domain = (-∞ , ∞) and range = (-∞ , ∞)

(f/g)(x) = f(x) / g(x)

          = x² - 5 / -x +8

Domain = (-∞ , 8) ∪ (8 ,∞) and range = (-∞ , -16 - 2√59 ) ∪ (-16 + 2√59  ,∞)

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Answer:

x = 59° , y = 44°

Step-by-step explanation:

See the attached image below ,

Since the whole angle is 180° we can write it like this ,

(2x + 18)° + (x - 15)° = 180°

2x + x + 18 - 15 = 180

3x +3 = 180

3x = 177

x = 177/3

x = 59°

and now for y,

y = (x - 15)°      CORRESPONDING ANGLES PROPERTY

y = x - 15

y = 59 - 15

y = 44°