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2 years ago

What is the simplest form of this expression? 2y^2(-6y + 3) + 4y^3

Mathematics

2 answers:

ella [17]2 years ago

6 0

Yep! Above answer is correct!

tatuchka [14]2 years ago

3 0

Answer:

$- 8 {y}^{3} + 6 {y}^{2}$

Step-by-step explanation:

$2y^2(-6y + 3) + 4y^3 \\ \\ = - 12 {y}^{3} + 6 {y}^{2} + 4 {y}^{3} \\ \\ = 4 {y}^{3} - 12 {y}^{3} + 6 {y}^{2} \\ \\ = - 8 {y}^{3} + 6 {y}^{2}$

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A class of 30 is divided into 2 groups such that the size of the smaller group is 2/3 the size of the larger group. How large is

pogonyaev

Answer:

I kinda did a lil of this in my head so i might not be 100% correct, but i would say the bigger group is 20 and the smaller group is 10

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3 years ago

A glass paperweight has a composite shape: a square pyramid fitting exacty on top of an 8 centimeter cube. The pyramid has a hei

ArbitrLikvidat [17]

Answer:

Part 1) The volume of the paperweight is $576\ cm^{3}$

Part 2) The total surface area of the paperweight is $400\ cm^{2}$

Step-by-step explanation:

Part 1) what is the volume of the paperweight?

we know that

The volume of the paperweight is equal to the volume of the square pyramid plus the volume of the cube

step 1

Find the volume of the pyramid

The volume of the pyramid is equal to

$V=\frac{1}{3}BH$

where

B is the area of the square base

H is the height of the pyramid

$B=8^{2}=64\ cm^{2}$

$H=3\ cm$

substitute

$V=\frac{1}{3}(64)(3)=64\ cm^{3}$

step 2

Find the volume of the cube

The volume of the cube is equal to

$V=b^{3}$

$V=8^{3}=512\ cm^{3}$

step 3

Find the volume of the paperweight

$64\ cm^{3}+512\ cm^{3}=576\ cm^{3}$

Part 2) what is the total surface area of the paperweight?

we know that

The total surface area of the paperweight is equal to the surface area of 5 faces of the cube plus the lateral area of the pyramid

step 1

Find the surface area of 5 faces of the cube

$SA=5b^{2}$

$SA=5(8^{2})=320\ cm^{2}$

step 2

Find the lateral area of the pyramid

$LA=4[\frac{1}{2}bh]$

$LA=4[\frac{1}{2}(8)(5)]=80\ cm^{2}$

step 3

Find the total surface area of the paperweight

$320\ cm^{2}+80\ cm^{2}=400\ cm^{2}$

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3 years ago

A dress regularly sells for $96. The sale price is $68. Find the percent decrease of the sale price from the regular price. Roun

yuradex [85]

Answer:

29.2 percent decrease

Step-by-step explanation:

the difference between 96 and 68 is 28 bucks

28 is what percent of 96

is over of

x/100 x 28/96

cross multiply=2800/96

divide 2800 by 96 and the answer is 29.1666

4 0

3 years ago

What does it mean to find the reciprocal?

uysha [10]

Reciprocal means invert it . for eg- the reciprocal of 1/2 is 2/1 and of 4/7 is7/4.

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3 years ago

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Use a calculator to find the standard deviation of this data set:

Rashid [163]

Answer:

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3 years ago

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