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3 years ago

What is the simplified form of 8b^3c^ 2a + 4b^3c^2?

1 answer:

8 0

$8b^{3} c^2+4b^{3} c^2$
$= (8+4) b^{3} c^2$
$=12 b^{3} c^2$

Be carefully, normally there is no a in your expression. I think you made a mistake.

Hope this helps !

Photon

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A bookstore can purchase several calculators for a total cost of $120. If each calculators cost $1 less, the bookstore could pur

Tresset [83]

$x-number\ of\ calculators\ sold\ in\ regular\ price\\\\
y-\ \ first\ price\\\\
(y-1)\ \ -second\ price\\\\x=\frac{120}{y}\\
x+10=\frac{120}{y-1}\\\\Substitude\ x=\frac{120}{y}\ into\ the\ second\\\\\
\frac{120}{y}+10=\frac{120}{y-1}\ \ |-\frac{120}{y-1}-10\\\\
\frac{120}{y}-\frac{120}{y-1}=-10\\\\Make\ a\ common\ denominator\\\\
\frac{120(y-1)}{y(y-1)}-\frac{120y}{(y-1)y}=-10
\frac{120y-120)}{y(y-1)}-\frac{120y}{(y-1)y}=-10\\\\
\frac{120y-120-120y}{y(y-1)}=-10$ <u /> $Assumptions:\\y \neq 0\ \ \ and\ \ y \neq 1\\\\ \frac{-120}{y(y-1)}=-10\ \ \ | *y(y-1) \\\\
-120=-10y(y-1)\\\\
-120=-10y^2+10y\\\\
10y^2-10y-120=0\ \ \ |:10\\\\
y^2-y-12=0\\\\Factor\ equation\\\\ y^2+3y-4y-12=0\\\\
(y-4)(y+3)=0\\\\Solutions:\ \ y=4\ \ and\ \ y=-3$

8 0

4 years ago

What is the equation of a circle with center (2,-8) and radius 9?

leonid [27]

Answer:

9^2= (x+2)^2+(y+8)^2

Step-by-step explanation:

The equation is r^2=(x+h)^2+(y-k)^2

4 0

3 years ago

Read 2 more answers

. A man gave an amount of money to his three sons yao, esi and ampa in the ratio of

arsen [322]

The amount given to them is GHS300.00

Step-by-step explanation:

A man gave an amount of money to his three sons Yao, Esi and Ampa in the ratio of their years

Yao is 15 years
Esi is 10 years
Ampa 5 years
Esi had GHS100.00

We need to find the amount given to them

Let us use the ratio method to solve the problem

∵ Yao is 15 years old

∵ Esi is 10 years old

∵ Ampa is 5 years old

∴ The ratio between them is

→ Yao : Esi : Ampa

→ 15 : 10 : 5

Simplify the terms of the ratio by divide each term by 5

∴ The ratio between their ages in the simplest form is

→ Yao : Esi : Ampa

→ 3 : 2 : 1

∵ Esi had GHS100.00

→ Yao : Esi : Ampa : Total

→ 3 : 2 : 1 : 6 ( 3 + 2 + 1 = 6)

→ : 100 : : x

Use the cross multiplication to find x

∵ 2(x) = 100(6)

∴ 2x = 600

- Divide both sides by 2

∴ x = 300

∵ x represents the total money given to them

∴ The amount given to them is GHS300.00

The amount given to them is GHS300.00

Learn more:

You can learn more about the word problems in brainly.com/question/3950386

#LearnwithBrainly

6 0

4 years ago

Please help guys I hope it's not to hard ???

TiliK225 [7]

Answer:

guess it is hard

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

What is 12/15 = ab/20 <br> (geometry converse of pythagorean theorem)

g100num [7]

Answer:

Step-by-step explanation:

In circle S: XB and XD are tangents at B and D

then SB perpendicular to AX and SD perpendicular to XC

In triangle SDX: SD = 12 and SX =20 by using Pythagoras Theorem

XD = XB tangents to circle S from point X

XA = XC tangents to circle R from point X

then BA = DC = 15

then XC = XD + DC = 16 + 15 = 31

4 0

3 years ago