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3 years ago

A water truck is filling a swimming pool. The equation that represents this

Mathematics

1 answer:

Luda [366]3 years ago

8 0

Answer:

a. false

b. true

c. true

d. true

e. false

Step-by-step explanation:

a. False. The "unit rate" is 19.75 gallons per minute. The "unit" of a "unit rate" is in the denominator. Here, the denominator of the rate is 1 minute.

b. True. A graph of a proportional relationship is a straight line through the origin.

c. True. In 5 minutes, the water in the pool will increase by 98.75 gallons, about 100 gallons.

d. True. The ratio of a y-value to an x-value will always be 19.75. That is the meaning of this proportional relationship.

e. False. The points (8, 158) or (7.5949, 150) will be on the graph. The point (8, 150) will not.

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

aliya0001 [1]

Answer:

-6

Step-by-step explanation:

The formula for finding the rate of change is:

$Rate\ of\ change=\frac{f(b)-f(a)}{b-a}$

The interval is [1,5]

So, a = 1 and b=5

$f(1) = 17 - (1)^2\\ =17-1\\=16\\f(5) = 17-(5)^2\\=17-25\\=-8$

Putting in the values

$Rate\ of\ change = \frac{f(5)-f(1)}{5-1} \\=\frac{-8-16}{5-1}\\= \frac{-24}{4}\\ =-6$

The average rate of change is -6 ..

8 0

3 years ago

Read 2 more answers

Which of these is the algebraic expression for the verbal expression "twelve times the difference of a number and four?"

gavmur [86]

Answer:

$12(x - 4)$

Step-by-step explanation:

The question says, "twelve times the difference of a number and four"

Let's start with the first number, which is twelve = 12. Moving on, we have times = ×, then the difference which is minus(-). A number is unknown, any aphabet can be used to represent the number, so, we represent with 'x', and then four = 4.

Arranging them, we have:

$12 \times x - 4$

in algebraic equations, times is always represented by bracket. Therefore, our final answer is:

$12(x - 4)$

I hope this helps.

7 0

2 years ago

Is 9,13,16 a right triangle

Dvinal [7]

We can check by using the

pythagorean theorem or a² + b² = c².

Substitute your values in for a, b, and c.

(9)² + (13)² = (16)²

~simplify

81 + 169 ≠ 256

81 + 169 is 250 but 16² is 256.

So, this in not a right triangle.

5 0

3 years ago

The question is in a screen shot

Vikki [24]

D, because 18/6 = 3 and 12/4 = 3

6 0

3 years ago

Read 2 more answers

The average cost per unit C(x), in dollars, to produce x units of toy cars is given by C(x)=(8000)/(x−50)C(x)=(8000)/(x−50). Wha

podryga [215]

$C(x)= \frac{8000}{x-50}$

gives an average cost per unit, if we want to produce x of them.

So for example, we want to produce 500 toy cars for our store, and we need a price per unit (per 1 toy car). What we do is we calculate C(500).

So to calculate the cost of one unit when producing 1250, we calculate C(1250)

$C(1250)= \frac{8000}{1250-50}= \frac{8000}{1200}=6.67$ $ is the cost of 1 toy car.

Answer

4 0

2 years ago