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2 years ago

Please help: 12x^4(-5/6x^3y^2) If possible, include steps Thanks.

1 answer:

4 0

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Question
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$12x^4(- \frac{5}{6} x^3y^2)$

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Multiply the constant: 12 x (-5/6)
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$-10x^4( x^3y^2)$

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Multiply the x (we add the power together when we multiply)
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$-10x^7y^2$

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Answer: -10x⁷y²
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Which is an x-intercept of the continuous function in the table?

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(-6,0)

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Step-by-step explanation:

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Marcus has 731 books. He puts about the same number of books on each of 9 shelves in his bookcase about how many books are on ea

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Approximately 81 books

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2 years ago

11/4 hours 19/8 hours 2.6 hours witch is closest to 2 hours?

ExtremeBDS [4]

Answer:

$\frac{19}{8}$ hours is closest to 2 hours.

Step-by-step explanation:

We have been given three numbers and we need to decide which of the three numbers is closest to 2.

In order to decide that, we will convert each of the given numbers into decimals and then we will compare.

$\frac{11}{4} =2.750\\\frac{19}{8}=2.375\\2.6=2.600$

Upon comparing 2.750, 2.375 and 2.600 we know that 2.375 is closest to 2. Therefore, out of the given three numbers, $\frac{19}{8}$ is closest to 2.

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3 years ago

Jon recently drove to visit his parents who live 270 270 miles away. On his way there his average speed was 24 24 miles per hour

Ber [7]

Answer:

He drove there at 60 mph, and he drove back at 36 mph.

Step-by-step explanation:

one way distance = d = 270 miles

average speed on way back = s

average speed on the way there = s + 24

time driving there = t

time driving back = 12 - t

average speed = distance/time

distance = speed * time

going there:

270 = (s + 24)t

270 = st + 24t

going back

270 = s(12 - t)

270 = 12s - st

We have a system of equations:

270 = st + 24t

270 = 12s - st

Solve the first equation for t.

t(s + 24) = 270

t = 270/(s + 24)

Substitute in the second equation.

270 = 12s - s[270/(s + 24)]

270 = 12s - 270s/(s + 24)

Multiply both sides by s + 24.

270s + 6480 = 12s^2 + 288s - 270s

12s^2 - 252s - 6480 = 0

Divide both sides by 12.

s^2 - 21s - 540 = 0

(s - 36)(s + 15) = 0

s = 36 or s = -15

The average speed cannot be negative, so we discard the solution s = -15.

s = 36

s + 24 = 60

Answer: He drove there at 60 mph, and he drove back at 36 mph.

3 0

3 years ago