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Marianna [84]
3 years ago
11

factor 3a^5-18a^3+6a^2, I know the answer is 3a^2(a^3-6a+2) but I am so lost on how to get the factor of 3a^2..How in the world

do you get the exponent for the factor
Mathematics
1 answer:
rusak2 [61]3 years ago
5 0

Answer:

\huge\boxed{3a^2(a^3-6a+2)}

Step-by-step explanation:

\sf 3a^5-18a^3+6a^2\\\\HCF = 3a^2\\\\Take \ 3a^2 \ common\\\\= 3a^2(a^3-6a+2)\\\\\rule[225]{225}{2}

Hope this helped!

<h3>~AH1807</h3>
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Walter had 2/4 yard of string. He used 3/6 of it on a school project. How much string did he use?
frozen [14]

2/4 reduces to  1/2

3/6 reduces to 1/2

1/2 * 1/2 = 1/4

 he used 1/4 yard of string

3 0
4 years ago
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The function f(x) = 1.50x – 30 gives the amount of money Amelia has to spend each week for x school lunches, after taking money
Naya [18.7K]
To find the inverse, switch the x and y, and then solve for y (f(x) is the same as y)

So we get:
x=1.50y-30 (add 30 to both sides)
x+30=1.50y (divide both sides by 1.5)
x/1.5+30/1.5=y
y=x/1.5+20

Hope this helps
7 0
3 years ago
You received partial credit in th
Blababa [14]

Answer:

Expected value would be $ 0.896

Step-by-step explanation:

Given,

The price of the lottery ticket = $44800000,

Also, the probability of winning the grand prize = .000000020,

Thus, the expected value of the lottery ticket = value of the lottery ticket × probability of getting the lottery ticket

= 44800000 × .000000020

= $0.896

Note : value of lottery ticket = prize amount - cost of each ticket,

Here the cost price of a ticket is not given,

That's why we did not consider it.

5 0
3 years ago
In the figure, O is the center, PT and PR are tangents, and
Deffense [45]

Answer:

  b. 30°

Step-by-step explanation:

In quadrilateral OTPR, angles O and P are supplementary.

  angle P = 180° -angle O = 180° -150°

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7 0
4 years ago
The first step for deriving the quadratic formula from the quadratic equation, 0 = ax2 bx c, is shown.step 1: –c = ax2 bxwhich b
Ksju [112]

Answer:

option (b) is correct.

First step to solve for deriving the quadratic formula from the quadratic equation is completing the square.

Step-by-step explanation:

Given : the quadratic equation ax^2+bx+c=0

We have to find the first step for deriving the quadratic formula from the quadratic equation.

Quadratic formula  is given by \frac{-b\pm\sqrt{b^2-4ac}}{2a}

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Divide the equation by a, we get,

x^2+\frac{b}{a}x+\frac{c}{a}=0

Take \frac{c}{a} to other side, we get,

x^2+\frac{b}{a}x=-\frac{c}{a}

Add (\frac{b}{2a})^2 to both side, we get,

x^2+\frac{b}{a}x+(\frac{b}{2a})^2=(\frac{b}{2a})^2-\frac{c}{a}

Thus, the left side is in the form of (a+b)^2=a^2+b^2+2ab

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Then solve for x , we get quadratic formula \frac{-b\pm\sqrt{b^2-4ac}}{2a}

Thus, first step to solve for deriving the quadratic formula from the quadratic equation is completing the square.

Thus, option (b) is correct.

3 0
3 years ago
Read 2 more answers
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