PLEASE HELP! THIS IS AN EASY QUESTION!!!

An expression is shown below: 2x3y + 18xy − 10x2y − 90y Part A: Rewrite the expression by factoring out the greatest common fact

SCORPION-xisa [38]

Answer:

Part A : 2y( x³ + 9x - 5x² - 45 ), Part B : 2y( x - 5 )( x² + 9 )

Step-by-step explanation:

Part A : Let's break every term down here to their " prime factors ", and see what is common among them,

2x³y + 18xy − 10x²y − 90y -

2x³y = 2 $*$ x³ $*$ y,

18xy = 2 $*$ 3 $*$ 3 $*$ x $*$ y,

− 10x²y = 2 $*$ - 5 $*$ x² $*$ y, - so as you can see for this example I purposely broke down - 10 into 2 and - 5. I could have placed the negative on the 2, but as that value was must likely common among all the terms, I decided to place it on the 5. The same goes for " − 90y. " I placed the negative there on the 5 once more.

− 90y = 2 $*$ - 5 $*$ 3 $*$ 3 $*$ y

The terms common among each term are 2 and y. Therefore, the GCF ( greatest common factor ) is 2x. Let's now factor the expression using this value.

2y( x³ + 9x - 5x² - 45 )

Part B : Let's simply factor this entire expression. Of course starting with the " factored " expression : 2y( x³ + 9x - 5x² - 45 ),

$2y\left(x^3+9x-5x^2-45\right)$ - Factor out " $(x^3+9x-5x^2-45\right))$ " by grouping,

$\left(x^3-5x^2\right)+\left(9x-45\right)$ - Factor 9 from 9x - 45 and x² from x³ - 5x²,

$9\left(x-5\right)+x^2\left(x-5\right)$ - Factor out common term x - 5,

$\left(x-5\right)\left(x^2+9\right)$ - And our solution is thus 2y( x - 5 )( x² + 9 )

3 0

3 years ago

There are 32 children in class 6B. On Thursday, four of the children were absent. What percentage of the children were absent on

Alex777 [14]

Answer:

8%

Step-by-step explanation:

32÷4=8

i hope this helps ^^

6 0

3 years ago

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If the mean of the following distribution is 91 and sum of frequencies is 150 find x and y

nydimaria [60]

Answer:

Step-by-step explanation:

Mean = ∑x/ N

91 = ∑x / 150

∑x = 150 * 91 = 13650

x= 6825 and y = 6825

7 0

3 years ago

A zip line is setup 150ft in the air, where a person can expect to zip line at a safe declining speed to the ground as they pass

hichkok12 [17]

Answer:

139 ft

Step-by-step explanation:

So the zip line forms a right triangle. The height of the triangle is 150 ft, and the opposite angle is 40°. The horizontal distance covered by the zip liner can be found with trigonometry, specifically with tangent.

tan 40° = 150 / x

x = 150 / tan 40°

x ≈ 179 feet

But this includes the 40 ft long body of water, so the amount of ground covered is:

179 ft - 40 ft = 139 ft

4 0

3 years ago

Last week f40 fifth graders went on a field trip to the science museum

Xelga [282]

8 out of 40 fifth graders went to see the lab animal presentation. This can be written as this expression:

$\frac{8}{40}$

Find the greatest common factor of 8 and 40:

Factors of 8: 1, 2, 4, 8
Factors of 40: 1, 2, 4, 5, 8, 10, 20, 40

Therefore the greatest common factor is 8. Divide both the numerator and the denominator by 8.

$\frac{8}{40} = \frac{8/8}{40/8} = \frac{1}{5}$

Therefore the fractional part is $\frac{1}{5}$ .

To get the percentage, you need to get the denominator to a value of 100.

To do so, you need to find the value to multiply both the numerator and denominator by to achieve this.

To get this value, you can divide 100 by the denominator of the fractional value.

$100 / 5 = 20$

Then you can multiply both the numerator and denominator by 20:

$\frac{1}{5} = \frac{1 * 20}{5 * 20} = \frac{20}{100}$

From here, the numerator will state the percentage:

$20\%$

Hope this helps :)

8 0

3 years ago

Read 2 more answers