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2 years ago

Which situation is most likely to show a constant rate of change?

1 answer:

4 0

Answer:- C. The amount of gasoline in a car's tank while driving on a highway at a constant speed compared with time.

Explanation:-

A. The number of customers in a grocery store does not change at a constant rate compared with the day of the week.

B.The speed of the wind on a stormy day does not change at a constant rate compared with the time of day.

C.The amount of gasoline in a car's tank while driving on a highway change at a constant rate at a constant speed compared with time

.[as velocity=rate of change in distance]

D.The distance of a student from home during a school day does not change at a constant rate compared with the time of day.[as distance remains constant compared to time]

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Find the value of y in the equation attached to this question

dlinn [17]

Answer:

y = 4

Step-by-step explanation:

1) Simplify $3^5$ to 243.

${9}^{y}=\frac{243\times {9}^{6}}{{27}^{3}}$

2) Simplify ${9}^{6}$ to 531441.

${9}^{y}=\frac{243\times 531441}{{27}^{3}}$

3) Simplify $243\times 531441$ to 129140163.

${9}^{y}=\frac{129140163}{{27}^{3}}$

4) Simplify ${27}^{3}$ to 19683.

${9}^{y}=\frac{129140163}{19683}$

5) Simplify $\frac{129140163}{19683}$ to 6561.

${9}^{y}=6561$

6) Convert both sides to the same base.

$9^y=9^4$

7) Cancel the base of 9 on both sides.

$y=4$

Cheers,

ROR

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2 years ago

Read 2 more answers

The graph below shows a proportional relationship between x and y.

Bas_tet [7]

Answer:

Step-by-step explanation:

Use point (1, 3.5) on the graph

x = 1, y = 3.5

y/x =
3.5/1 =
3.5

k = 3.5

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2 years ago

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Find all zeros x^3+2x^2+4x+21

dlinn [17]

Answer:

see explanation

Step-by-step explanation:

note when x = - 3

(- 3)³ + 2(- 3)² + 4(- 3) + 21 = - 27 + 18 - 12 + 21 = 0

hence x = - 3 is a zero and (x + 3) is a factor and dividing gives

$\frac{x^3+2x^2+4x+21}{x+3}$ = (x + 3)(x² - x + 7)

For zeros equate to zero

(x + 3)(x² - x + 7) = 0

equate each factor to zero and solve for x

x + 3 = 0 ⇒ x = - 3

x² - x + 7 = 0 ← solve using quadratic formula

x = (1 ± $\sqrt{1-28}$ ) / 2 = (1 ± 3i $\sqrt{3}$ ) / 2

x = $\frac{1}{2}$ ± $\frac{3i\sqrt{3} }{2}$

zeros are x = - 3, x = $\frac{1}{2}$ ± $\frac{3i\sqrt{3} }{2}$

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2 years ago

Find the perimeter of the figure.

astraxan [27]

Answer:

26 meters

Step-by-step explanation: Ez. First add all the data you already have. You should end up with 19. Then, you want to find the length of the missing side. Well, we know it's 7 meters since its opposite is 7, and these lengths are in the same square. So 19+7 is 26 meters.

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Tina thinks of two numbers. She says, "My two numbers add up to 12. Three times my first number plus twice my second number is 2

butalik [34]

The first number is 5 and the second number is 7

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2 years ago