All categories

3 years ago

Can you help me with #3 please

Mathematics

1 answer:

sveticcg [70]3 years ago

5 0

We have two terms: 3x^3 and -9x

You have the correct GCF which is 3x. This GCF is factored out and placed to the left of the parenthesis, as you have done correctly so far.

Since 3x times x^2 is equal to 3x^3, this means that you have the proper first term inside the parenthesis. So far so good.

Where you make a mistake is with the second term inside the parenthesis. Notice how 3x times 2 is NOT equal to -9x

You need to fill in the blank:
3x times _________ = -9x

It turns out that -3 goes in that blank since 3x times -3 = -9x

This is why the final answer for problem 3 is 3x(x^2 - 3)

You might be interested in

How can a ratio be used to compare quantities?

photoshop1234 [79]

Answer:

Two quantities can be compared by a ratio. As a fraction in the simplest form, a typical manner of expressing a ratio. If you compare the two numbers with distinct measuring units, this type of ratio is known as a rate. A rate is unit rate when it is 1. A rate is unit rate.

Step-by-step explanation:

8 0

2 years ago

Read 2 more answers

480 into ratio 1:3:4

olga nikolaevna [1]

Step-by-step explanation:

60: 180: 240

hope it helps!

8 0

3 years ago

A certain brand of automobile tire has a mean life span of 35,000 miles, with a standard deviation of 2250 miles. Assume the lif

yawa3891 [41]

Answer:

Step-by-step explanation:

From the information given:

mean life span of a brand of automobile = 35,000

standard deviation of a brand of automobile = 2250 miles.

the z-score that corresponds to each life span are as follows.

the standard z- score formula is:

$z = \dfrac{x - \mu}{\sigma}$

For x = 34000

$z = \dfrac{34000 - 35000}{2250}$

$z = \dfrac{-1000}{2250}$

z = −0.4444

For x = 37000

$z = \dfrac{37000 - 35000}{2250}$

$z = \dfrac{2000}{2250}$

z = 0.8889

For x = 3000

$z = \dfrac{30000 - 35000}{2250}$

$z = \dfrac{-5000}{2250}$

z = -2.222

From the above z- score that corresponds to their life span; it is glaring that the tire with the life span 30,000 miles has an unusually short life span.

For x = 30,500

$z = \dfrac{30500 - 35000}{2250}$