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2 years ago

Which of the following ordered pairs lies on the graph of h(x) = -2x²?

1 answer:

8 0

The order pair that lies on the graph of h(x) = -2(x^2) is (1, -2). By substituting the given ordered pair only (1, -2) will satisfy the equation.

h(x) = -2(x^2)

-2 = -2(1^2)

-2= -2(1)

-2= -2

So the ordered pair lies on the graph is (1, -2)

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At the beginning of the business day, a bank's vault held $575,900. By the end of the day, $(3.5 103) had been added to the vaul

Likurg_2 [28]

3.5*10^3=3,500

3,500+ 575,900=579,400

5 0

1 year ago

Christy spent $500 over her budget on gifts during the holidays. In addition to her regular job, she took a part-time job at the

Deffense [45]

Christy will have to work 50 hours to pay off her debt.

500 divided by 10 = 50.

Hope this helped!

5 0

1 year ago

Assume that a demand equation is giben by q = 7000-100p. Find the marginal revenue for the given production levels (levels of q)

nata0808 [166]

Answer:

Option B.

Step-by-step explanation:

The demand function is

$q=7000-100p$

where p is price.

Solve the demand equation for p.

$100p=7000-q$

$p=\dfrac{7000-q}{100}$

The revenue function is

$R(q)=qp$

Substitute the value of p in the above function.

$R(q)=q(\dfrac{7000-q}{100})$

$R(q)=\dfrac{7000q-q^2}{100}$

Differentiate with respect to q.

$R'(q)=\dfrac{7000-2q}{100}$

Equate R'(q)=0,

$\dfrac{7000-2q}{100}=0$

$7000=2q$

Divide both sides by 2.

$3500=q$

Therefore, the correct option is B.

4 0

1 year ago

Maël mixes 15 milliliter (mL) of bleach with 3.75 liters (L) of water to make a sanitizing solution for a daycare. The amounts o

Yanka [14]

You have not provided the options, therefore, I cannot give you an exact answer.
However, I will try to help you with the concept.

First, we need to make all units the same in the problem. I will convert all units to ml.
We have:
amount of bleach = 15 ml
amount of water = 3.75 liters = 3.75 * 1000 = 3750 ml

Now, we will get the ratio between bleach and water:
$\frac{bleach}{water} = \frac{15}{3750} = \frac{1}{250}$

This ratio is fixed, therefore, to get the right choice:
1- make all units the same
2- for each option, divide the amount of bleach by the amount of water.
The correct choice would be the one giving you $\frac{1}{250}$

Hope this helps :)

5 0

2 years ago

Lionel computed the average rate of change in the depth of a pool over a two-week interval to be zero. Which statement must be t

gayaneshka [121]

Answer:The pool must have been the same depth at the start of the interval as it was at the end of the interval.

Step-by-step explanation:

The average rate of change is calculated as:

[final value - initial value] / time interval.

Then, the average rate of change does not take into account intermediates values, and you cannot draw any conclusion about such intermediate values.

In the given case you have:

average rate of change in depth = [final depth - initial depth] / 2 weeks.

0 = [final depth - initial depth] / 2 weeks.

⇒ 0 = final depth - initial depth

⇒ final depth = initial depth.

That is why the conclusion is the second statement of the answer choices: the pool must have been the same depth at the start of the interval as it was at the end of the interval.

In between the pool might have been deeper, more shallow, empty or change in any form, since the average rate of change does not tell the full history but only the net change.

4 0

1 year ago