All categories

3 years ago

When factored completely, what are the factors of 4x^2-16 ?

Mathematics

2 answers:

Semmy [17]3 years ago

8 0

$Use:a^2-b^2=(a-b)(a+b)\\\\4x^2-16=4(x^2-4)=4(x^2-2^2)=\boxed{4(x-2)(x+2)}$

Klio2033 [76]3 years ago

8 0

$4x^2-16=\\
4(x^2-4)=\\
4(x-2)(x+2)$

You might be interested in

Helpppp which is true

Lubov Fominskaja [6]

Answer:

The answers is

x=−1

Step-by-step explanation:

Can you give me Brainleist please :)

6 0

3 years ago

Exhibit B In order to determine whether or not there is a significant difference between the hourly wages of two companies, two

ser-zykov [4K]

Answer: c. 3.01

Step-by-step explanation:

The test statistic for difference between two population mean (when population standard deviation is known) is given by :

$z=\dfrac{\overline{x}_1-\overline{x}_2}{\sqrt{\dfrac{\sigma_1^2}{n_1}+\dfrac{\sigma_2^2}{n_2}}}$

, where $n_1$ = Size of first sample

$n_2$ = Size of second sample

$\overline{x}_1-\overline{x}_2$ = Difference between two sample mean.

$\sigma_1$ = standard deviation for population 1.

$\sigma_2$ = standard deviation for population 2.

As per given , we have

$n_1=80$

$n_2=60$

$\overline{x}_1=\$6.75$

$\overline{x}_2=\$6.25$

$\sigma_1=\$1$

$\sigma_2=\$0.95$

Substitute these values in formula , we get

$z=\dfrac{6.75-6.25}{\sqrt{\dfrac{(1)^2}{80}+\dfrac{(0.95)^2}{60}}}$

$z=\dfrac{0.50}{\sqrt{0.0275416666667}}$

$z=\dfrac{0.50}{0.165956821694}$

$z=3.0128318613\approx3.01$

Hence, the value of the test statistic is 3.01.

Hence, the correct option is c. 3.01 .

7 0

3 years ago

Please help!!!!!!!!!!!!!

aivan3 [116]

Answers:

Step-by-step explanation:

We must simplify each option to see if they are equivalent to $-\frac{3}{8}$ .

Lets try A.

$-\frac{6}{16}$ can be simplified to $-\frac{3}{8}$ by dividing both the numerator and denominator by 3.

$-\frac{6}{16}$ ÷ $\frac{3}{3} = -\frac{3}{8}$

A is correct!

Lets try B

$\frac{12}{32}$ simplifies to $\frac{3}{8}$ . However, because this answer is not negative, it is not equivalent.

Lets try C

There is a negative in the numerator, making this fraction negative. So yes, $\frac{-3}{8} = -\frac{3}{8}$ .

Bonus Info: If there was a negative in both the numerator and denominator, the two negatives would cancel eachother out, making the fraction positive

C is correct!

Lastly, Lets try D

There is a negative in the denominator, so this fraction is negative. $\frac{9}{-24}$ can be simplified by dividing by 3 to $-\frac{3}{8}$ .

$\frac{9}{-24}$ ÷3 = $-\frac{3}{8}$

D is correct!

Hope this helped you!~

6 0

4 years ago

if one letter is chosen at random from word "combed" what is the probability that the letter chosen will be a "d"

abruzzese [7]

It would be either 1/6 or 1:6.

5 0

3 years ago

Read 2 more answers

5 years ago, Cheryl was d years old, Brandon is 2 years older than Cheryl.

lana [24]

Answer: See explanation

Step-by-step explanation:

a. how old is Cheryl?

Cheryl's age = d + 5

b. how old is Brandon?

d + 5 + 2

= d + 7

c. what was the difference in their ages 5 years ago?

Cheryl age five years ago = d

Brandon's age five years ago = d + 2

Difference = d + 2 - d = 2 years

d. what is the sum of their ages now?

Cheryl's age = d + 5

Brandon age = d + 7

Sum = d + 5 + d + 7

= 2d + 12

e. what will the sum of their ages be two years from now?

Two years from now,

Cheryl's age = d + 5 + 2 = d + 7

Brandon age = d + 7 + 2 = d + 9

Sum = d + 7 + d + 9

= 2d + 16

f. what will the difference of their ages be two years from now

Two years from now,

Cheryl's age = d + 5 + 2 = d + 7

Brandon age = d + 7 + 2 = d + 9

Difference = Brandon age - Cheryl age

= (d + 9) - (d + 7)

= 2 years.

4 0

3 years ago