All categories

3 years ago

Simplify the expression

Mathematics

2 answers:

asambeis [7]3 years ago

6 0

Answer:

Step-by-step explanation:

given

- 4x²(3x - 7)

multiply each term in the parenthesis by - 4x²

= (-4x² × 3x) + ( - 4x² × - 7)

= - 12x³ + 28x² → B

Xelga [282]3 years ago

3 0

Answer:

the simplified expression is $-12x^3+28x^2$

B is the correct option.

Step-by-step explanation:

We have been given the expression $-4x^2(3x-7)$

Using the distributive property a(b+c)=ab+ac and simplify

$-4x^2(3x-7)\\\\=-4x^2\cdot3x+(-4x^2\cdot(-7))\\\\=-12x^3+28x^2$

Therefore, the simplified expression is $-12x^3+28x^2$

B is the correct option.

You might be interested in

Use the digits 0 - 9 to write five decimal numbers that arranged in ascending order.use each digit once in each decimal number.

Kryger [21]

Answer:

0.1, 2.3, 4.5, 6.7, 8.9

1.0, 3.2, 5.4, 7.6, 9.8

4 0

2 years ago

What’s the answer for 5/9+w=7/9

Allushta [10]

Answer:

w = 2/9.

Good luck! This Is Correct, BTW

6 0

3 years ago

Read 2 more answers

A rectangular prism has a length of 12 feet, a width of 6 feet, and a height of 2 feet.

aliina [53]

The volume of the prism is 144 ft^3. If we use the letter V to represent volume, the formula for the volume of a rectangular prism is V=length*width*height. When you plug in the numbers, the equation is V=12*6*2. When you multiply these three numbers together, you get 144. Because you are finding the volume, your units are cubed, so your answer is 144 ft^3. I have attached an image of this problem written out (I’m sorry if the image is bad, I drew it on my phone). If you need any more help or any clarification, please let me know and I will be happy to help!

3 0

2 years ago

Write 72,312 in standard form

Lapatulllka [165]

Seventy- two thousand three hundred twelve

5 0

3 years ago

How long will it take to have R30 000 for a trip to Europe if I invest R20 000 now at 15% per year, compounded quarterly?

maw [93]

Compound interest formula

$A=P(1+ \frac{r}{n} )^{nt}$

Where

A= Future value
P = the Principal (the initial amount of money)
r = annual interest rate

t = time

n= number of times compounded in one t

Remark
----------------------------------------------------------------------------------

r is generally a percentage like 3%, 7% etc and are applied in the formula as 0.03, 0.07...,

the interest is compounded generally annually (n=1), quarterly (n=4), monthly (n=12), etc...

t is in years,

In our problem:

A= 30 000

P =20 000

r = 15%=0.15

time = t = ?

n= 4

applying the formula:

$A=P(1+ \frac{r}{n} )^{nt}\\\\30,000=20,000(1+ \frac{0.15}{4} )^{4t}\\\\ \displaystyle{\frac{30,000}{20,000} =(1.0375)^{4t}$

$\displaystyle{ 1.5={(1.0375^4)}^t\\\\$

$1.5=1.159^t\\\\ \displaystyle { t=log_{1.159}1.5=2.75$

75% of 12 months is 3/4 of 12 months, which is 9 months

Answer: 2 years, 9 months

3 0

3 years ago