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levacccp [35]
3 years ago
11

Grace works from 10 to 20 hours per week while attending college. She earns $9.00 per hour. The function e(h) represents her ear

nings each week . Describe an appropriate domain of this function
Mathematics
1 answer:
DerKrebs [107]3 years ago
3 0

Solution: The function that represents the Grace earning each week is defined as e(h)=9h, where e(h) is in dollar and h is the time in hours. domain of the function e(h)=9h is [10,20].

Explanation:

Let, Grace works for h hours per week.

For one hour she get $9.

For h hours she get \$(9\times h)=\$9h.

So, the function that represents the Grace earning each week is defined as e(h)=9h.

It is given that she works from 10 to 20 hours per week, therefore the value of h lies between 10 to 20. Hence the Grace's earnings for each week is defined as e(h)=9h and the domain of the function e(h)=9h is [10,20].

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If y is proportional to the sqaure root of x and y equal x when x equal 5,evaluate y when x eqaul 9.​
Law Incorporation [45]

Answer:

y = 3\, \sqrt{5} when x = 9.

Step-by-step explanation:

The question states that y is proportional to \sqrt{x}. In other words, there is a constant a (a \ne 0) such that y = a\, \sqrt{x} for all x \ge 0.

The question also states that y = x when x = 5. Make use of this equality to find the value of a.

Since x = 5 and y = x, it must be true that y = 5. Substitute x = 5\! and y = 5\! into the equation y = a\, \sqrt{x} and solve for a:

5 = a\, \sqrt{5}.

\begin{aligned}a &= \frac{5}{\sqrt{5}} \\ &= \sqrt{5}\end{aligned}.

Thus, y = \sqrt{5}\, (\sqrt{x}) for all x \ge 0.

Substitute in the value x = 9 to find the corresponding value of y:

\begin{aligned} y &= \sqrt{5} \, (\sqrt{9}) \\ &= \sqrt{5} \times 3 \\ &= 3\, \sqrt{5}\end{aligned}.

6 0
2 years ago
Which phrases can be used to represent the inequality 12-3x≥9? Check all that apply. (multi choice)
balandron [24]

Answer:

Which phrases can be used to represent the inequality 12-3x≥9? Check all that apply. (multi choice)

<u> A Twelve less than three times a number is greater than or equal to nine. </u>

B Twelve less than three times a number is at least nine.

C Twelve less three times a number is at least nine.

D Twelve minus the product of three and a number is no more than nine.

E Twelve less three times a number is at most nine.

F Twelve minus the product of three and a number is no smaller than nine.

G Twelve minus the product of three and a number is larger than nine.

Step-by-step explanation:

12 - 3x>=9

8 0
3 years ago
0/1
pychu [463]

Answer:

68.8 sq. inches.

Step-by-step explanation:

The triangular surfaces have sides 2 in by 3 in by 4 in.

So, half perimeter, s = \frac{2 + 3 + 4}{2} = 4.5

So, the area of the triangular face is \sqrt{s(s - 4)(s - 2)(s - 3)} = \sqrt{4.5 \times 0.5 \times 2.5 \times 1.5} = 2.9 sq. inches.

Now, the total surface area of the right triangular prism will be (2.9 × 2) + 7(2 + 3 + 4) = 68.8 sq. inches. (Answer)

4 0
3 years ago
-6(2r +8)=-10(r-3)<br> I need the work to
barxatty [35]

Answer:

r = -39

Step-by-step explanation:

So we are trying to solve the equation for r.

-6(2r + 8) = -10(r - 3)

Divide both sides by -2. (This will make distributing much easier.)

3(2r + 8) = 5(r - 3)

Distribute the 3 on the left side and the 5 on the right side,

6r + 24 = 5r - 15

Subtract 24 from both sides.

6r = 5r - 39

Subtract 5r from both sides.

r = -39

So now we have solve the equation.

I hope you find my answer and explanation to be helpful. Happy studying. :)

5 0
3 years ago
2x - 11 = -8x + 14<br> Simplify
Sauron [17]

Answer:

x = 2.5

Step-by-step explanation:

2x - 11 = -8x + 14

Add 8x to both sides

10x - 11 = 14

Add 11 to both sides

10x = 25

Divide both sides by 10

x = 2.5

7 0
3 years ago
Read 2 more answers
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