# Hailey has a summer job at the water slide park. She earns $9.50 an hour as a lifeguard, but never works more than 25 hours in a week. She determines that her salary is modeled by the function s = 9.5h. What is the domain of this function in this situation? A) s ≤ 237.50 B) all real numbers C) {0 ≤ h ≤ 25} D) {0 ≥ h ≥ 25}

**Answer: C) {0 ≤ h ≤ 25} **

**Step-by-step explanation:**

- The
**domain of a function**is the set of all values for independent variable for which the function must be defined.

**Given:** The amount earned by Hailey for one hour work =$9.50

She determines that her salary is modeled by the function .

Here h is the independent variable such that 's' is dependent on 'h'.

Since she never works more than 25 hours in a week.

Therefore, the maximum hours she will work = 25

**Hence, the domain of this function in this situation is {0 ≤ h ≤ 25}, where h is number of hours she works.**

## Related Questions

The Factor theorem states that for any polynomial f(x) if f(c)=0 then x-c is a factor of the polynomial f(x).

If any polynomial f(x) is divided by x-a and remainder is 0 that means f(a)= 0 .In other words we can say x-a is a factor of the polynomial f(x).So the statement :If a polynomial is divided by (x-a) and the remainder equals zero then (x -a) is a factor of the polynomial is True.

4. When we say pythagorean triple, this would consists of three positive integers a, b, and c, such that a2 + b2 = c2. So for the given numbers above, the set that is considered a pythagorean triple would be B. 8, 15, 17.

5. The correct answer for this question would be option D. It cannot be determined whether the triangle is obtuse, acute or right if the given values are the side lengths. It should be angles. Hope this answer helps.

For f(x)=2x+1 and g(x)=x^2-7, find (f-g)(x)

(f-g)(x)=2x+1-(x^2-7)

(f-g)(x)=2x+1-x^2+7

(f-g)(x)= -x^2+2x+8

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9x² - 36x + 36 = 0

9(x² - 4x + 4) = 0

9(x-2)(x-2) = 0

Radicand = Discriminant = 36² - 4(9)(36) = 0

there is 1 real zero that repeats itself)

zero is x=2.

Use factoring. Factors of 7 are 1 and 7

2x²-9x+7 = 0

(2x-7)(x-1) = 0

2x-7 = 0 (x-1)=0

2x = 7x=1

x = 7/2

Your solutions are x = 1 and x = 7/2

I hope my answers helped you

p = take home pay

r = rate of dollars per hour

h = number of hours worked

b = bonus

So now we can find h and let us start with the formula.

p = 0.7(rh + b)

p = 0.7*r*h + 0.7b

p - 0.7b = 0.7rh

So the answer for this problem is

**h = (p-0.7b)/0.7r**

1. C

2. A, C

3. B

4. C

5.

[Part 1]

A

[Part 2]

C

6. D

7.

[Part 1]

B

[Part 2]

A

[Part 3]

C

100% Correct

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Because she bought a CD on her savings, we must deduce the cost of the CD from her 1,128 savings

1128 - 72=1056

Then just divide the difference to how much each videogame cost

1056 / 43 = 24

So the answer is she can buy 24 videogames.

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Which test point holds true for y − 2x ≤ 1? (0, 2) (-2, 4) (1, 4) (5, 0)

y − 2x ≤ 1

0 - 2(5) ≤ 1

0-10 ≤ 1

-10 ≤ 1

Hope this answer helps.

**Answer with explanation:**

In a triangle sum of two sides , should always be greater than the third side.

Sides of the given triangle are, 3 x cm, 7 x cm and h cm.

1.

3 x + 7 x > h

**→ 10 x > h**

2.

3 x+ h > 7 x

→h > 7 x -3 x

**→h> 4 x**

3.

7 x + h > 3 x, which will be always true.

Combining 1, 2 and 3 we get

**→4 x < h < 10 x**

**Option A**

Part A. $10 x 40 hours= $400 ($10x = W) X=

**40 hours a week**

Part b. $10 x 40 hours = $400 + $15 x Y=S ($10x=$400 +$15y=S) Y= number of hours overtime. Since he gets $15 for working more than 40 hours you take the number of hours over time and multiply it by 15.

Part c. Now that he made $490 in 1 week you know that he worked for 40 hours at a rate of $10 an hour. But that's only $400, so we need to figure out 15 times what is equal to 90. 15 times six is equal to 90 which means that Drey worked for

**46 hours**

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What is f(x) = 2x2 + 28x – 5 written in vertex form?

f(x) = 2x^2 + 28x – 5

f(x) = 2(x^2 + 14x) – 5

f(x) = 2(x^2 + 14x + 49) – 5 - 98

**f(x) = 2(x + 7)^2 – 103**

Hope this answers the question. Have a nice day.

Given f(x)=17-x^2, what is the average rate of change in f(x) over the interval [1, 5]?

average rate of change is

(f(5) - f(1))/(5 - 1) =

(17 - 5^2 - (17 - 1^2))/4 =

(17 - 25 - 17 + 1)/4 =

So the answer for this problem is

**-6**

I hope my answer helped you. Feel free to ask for more questions.

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Line Segment

E) part of a line that has two endpoints

Plane

D) a flat surface that extends infinitely and has no thickness

Perpendicular Lines

B) two lines that intersect at 90° angles

Line

A) a series of points that extend in two directions without end

Parallel Lines

C) lines that lie in the same plane and do not intersect

Hope this answers the question. Have a nice day.

-x = 1.5x – 4

4 = 2.5x

**x = 1.6**

y = -x = -1.6

y = -x = -1.6

f(x) = P(1 + r)^x

Now we can solve.

Given:

P = 2000

r = -0.06

f(x) = 2000 (1 - 0.06)^x

= 2000 (0.94)^x

2000 (0.94)¹² =

2000 (0.476) =

The answer is

**951.8 square kilometers.**

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**The answer is**

BThe vertex of the graph is (5, –37).

B

**The parabola has a minimum.**

C

C

**D**The parabola opens up.

Which ordered pair is a solution of the equation 2x − y = 9 (-4,1) (-2,5) (5,1) (6,-3)

So based on my solution, the correct answer would be the third option: (5,1)

So let us try to plug in the values.

2(5) - 1 = 9

10 -1 = 9

9 = 9

So this is the correct one. Hope this answers your question.

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What is the range of the function f(x) = 3x2 + 6x – 9

f(x)=3x^2-6x+1

My solution is:

The domain is all real numbers--there are no restrictions like a square root or variable in the denominator

this is a U shape parabola and you want to find the bottom point, it is at the vertex

x=-b/2a =- (-6) /2 (3) =1

f(1) =3(1)^2 -6(1) +1 =3-6+1 =-2

the minimum is (1, -2)

so the range is all real numbers >= -2

By examining my solution, you could just answer the problem on your own! I hope it helps!

Solve the equation for y 2x+6y=13

2x+6y=13

Next, transfer 2x to the right side and it will look like this:

6y=13-2x

Now, divide both sides by 6, and it will look like this:

y=13-2x

--------

6

So, this is the final answer for y.

Hope this answers your question. Have a great day!

You are paid $82.59 for 7 1/2 hours at work. what is your rate of pay ?

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What is another way to write 250,000 ml?

hope this helps you

The product of two numbers is 10 times the value of 9 and 8. which expression shows the two numbers?

or

10x17

hope this helps

**Answer:**

D

**Step-by-step explanation:**

She showed that f(n) - f(n - 1) was a constant difference.

The definition of an arithmetic sequence is** the difference between consecutive terms is constant, aka common difference.**

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solve for x :

−3(6−2x)≥4x+12

−18+6x≥4x+12

2x≥30

x≥15

**So the answer is D ) 15 to +infinity**

I hope my answer has come to your help. God bless and have a nice day ahead!

How to solve this problem 14-6= 10-6=?

Algebraic terms are separated by ______. Choose all that apply. 1)= 2)+ 3)x 4)÷ 5)-

__Answer__

1)=

2)+

5)-

__Explanation__

When letter or numbers are separated by multiplication or division can be combined to make one term.

In an algebra equation, terms are separated by an addition sign, subtraction sign or an equal sign. For example,

3a + 7b = 21.

This equation have 3 terms.

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