2 years ago

If p(x) = x2 - 1 and q(x) = 5(x-1), which expression is equivalent to (p-q)(x)?

Mathematics

1 answer:

Galina-37 [17]2 years ago

3 0

Answer:

x² - 5x + 4

Step-by-step explanation:

Note that (p - q)(x) = p(x) - q(x)

p(x) - q(x)

= x² - 1 - 5(x - 1) ← distribute

= x² - 1 - 5x + 5 ← collect like terms

= x² - 5x + 4

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1 year ago

Sonia walks to her aunt's house. She leaves home at 1025. She walks a total of 12km at an average speed of 5km/h. Work out the t

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Answer: 1249 hrs

Step-by-step explanation:

Sophia walked for 12 km to get to her aunt's house.

She did this at a speed of 5km/h which means that the time taken was:

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= 12 / 5

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3 years ago

The school talent show is 92 minutes long. Acts in the talent show are each about 4 minutes long. How many acts should there be?

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Step-by-step explanation:

This is a division problem.

92/4 = 23

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3 years ago

95 points <br><br> Simplify (4^9/4^3)^5 Show your work for full credit

dexar [7]

Answer:

$4^{30}$

Step-by-step explanation:

$(4^9/4^3)^5=$
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1 year ago

Read 2 more answers

A candle maker adds lemon oil to wax to make the lemon-scented candle shown. How many ounces of oil will he need for the candle

liraira [26]

Answer:

The ounces of oil needed is 5 ounces of oil

Step-by-step explanation:

The first thing to do here is to calculate the volume of the lemon-scented candle given.

Looking at shape the volume can be calculated using the formula L * B * H

where L(length) = 10cm , B(breadth) = 8cm and Height(h) = 25cm

The volume V is thus = 10 * 8 * 25 = 2,000 cm^3

The ounces of oil needed for the candle to have 0.0025 ounces of oil per cm^3 of wax will be = The volume of the lemon-scented candle * 0.0025 ounces of oil per cm^3 of wax

That will be = 0.0025 * 2,000 = 5 ounces

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3 years ago