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muminat
3 years ago
13

Use the graphs of f and g to solve Exercises 87, 88, and 89.

Mathematics
1 answer:
Nadya [2.5K]3 years ago
4 0

Answers and explanations:

87. The domain of added functions includes the restrictions of both. So the range of the added function in this question is [-4, 3]

88. When finding the domain of a divided function we do the same as adding, but with an extra rule: g can't equal zero. So for this question the domain is (-4, 3)

89. To graph f + g you add the y-values for each x-value. I added a picture to help explain this one!

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Mrs. Tomas is installing a fence around the perimeter of her garden. The perimeter of the garden is 36 feet. Each section of the
WITCHER [35]

Answer:

C = (36/3)* $24

C = $288

Step-by-step explanation:

In this question, we are asked to write an equation for cost c of the section of fence needed for the garden and the solve for the value c.

C is already assigned as the cost of the sections she needs for her garden.

We were made to understand that the perimeter of the garden is 36 feet, with a 3 feet each section. Now, what we need to do is to know the number of sections that we have. Since, each section is 3 feet, and the total perimeter is 36 feet, this means that the total number of sections needed would be 36/3. Each of the section as we were told costs $24, so we can then proceed to calculate the value of C from there.

C = (36/3)* $24

This is the equation that gives the cost. The actual value of the cost is thus:

C = 12 * 24 = $288

The total cost of the sections if the Fence is $288

8 0
3 years ago
Sarah applies the pearl guitar fret markers to her fret board as shown. Each fret marker is in the shape of a parallelogram. Eac
jekas [21]

Answer:

Step-by-step explanation:

Since each fret marker is in the shape of a parallelogram, we would determine the area of each of the bottom fret markers by applying the formula for determining the area of a parallelogram. It us expressed as

Area = base × height

Each of the three bottom fret markers has a base that measures 52.5mm and a height of 6mm. Therefore, area of each the bottom fret markers is

52.5 × 6 = 315

8 0
3 years ago
One number is 2 more than another. The difference between their squares is 52. What are the numbers?
kirza4 [7]
The numbers are 12 and 14.
4 0
4 years ago
Read 2 more answers
A town has a population of 5000 and grows at 4% every year. To the nearest year, how long will it be until the population will r
Rus_ich [418]

Answer:

About 21.457 years

Step-by-step explanation:

You can solve this by setting up a simple equation.

5000\cdot 1.04^x \geq 11600

1.04^x \geq 2.32

log base 1.04 2.32=x

x\approx 21.457 years

Hope this helps!

8 0
3 years ago
Simplify the expression -3 devided by -2/5. A. -7 1/2 B. -1 1/5 C. 1 1/5 D. 7 1/2
Llana [10]

Answer:

D. 7 1/2

Step-by-step explanation:

-3 divided by -2/5

-(-3(-5/2)

-(-3 x 5/2)

-15/2

7 1/2

Hope it helps

7 0
3 years ago
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