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svetlana [45]
3 years ago
9

Factor completely 4x^4− 20x^3 + 12x^2

Mathematics
1 answer:
OLga [1]3 years ago
4 0

Answer:

Step-by-step explanation:

4x^2(x^2 - 5x + 6)

4x^2(x - 3)(x - 2)

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Y_Kistochka [10]
This is a problem involving the subtraction of two functions f(x) and g(x):

<span>if f(x)=3x-1 and g(x)=x+2, find (f-g)(x).  In other words, find:

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-{g(x) -(x+2)
-----------------
f(x) - g(x) = 3x - 1 - x - 2 = 2x - 3  (answer)</span>
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3 years ago
This graph shows how much Anthony earns babysitting, compared with the number of hours he works. Select the correct statement ab
dimaraw [331]
B. For each hour he works, his earnings go up by $8
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3 years ago
Rewrite the quadratic function in intercept or factored form<br><br> g(m)=3m^2+5-8m
gogolik [260]

Split the second term in 3m^2 + 5 - 8m into two terms

3m^2 - 3m - 5m + 5

Factor out the common terms in the first two terms, then in the last two terms.

3m(m - 1) - 5(m - 1)

Factor out the common term m - 1

<u>(m - 1)(3m - 5)</u>

4 0
3 years ago
I. The Bread Machine (25 points)
Naddika [18.5K]

It would take 125 loaves at a cost of $200 for the breadmaker and store bought bread to cost the same.

<h3>Linear equation</h3>

A linear equation is in the form:

y = mx + b

where y, x are variables, m is the rate of change and b is the y intercept.

Let x represent the rate of cost of one loaf and y represent the total cost, hence:

y = 0.8x + 100

The rate of cost of one loaf is $0.8 and the start up cost is $100.

For the second bread it is given by:

y = 1.6x

The graph of the two equations cross at (125, 200)

It would take 125 loaves at a cost of $200 for the breadmaker and store bought bread to cost the same.

Find out more on Linear equation at: brainly.com/question/13763238

6 0
3 years ago
use the shell method to find the volume of the solid generated by revolving the region bounded by the given curves and lines abo
sukhopar [10]

Answer:

16π square units.

Step-by-step explanation:

Please refer to the graph below.

So, if we draw a representative rectangle, the width of the rectangle will be (x), and the height of the rectangle at each (x) will be given by f(x) - g(x).

By the shell method:

\displaystyle V=2\pi\int_a^bp(x)h(x)\,dx

We are integrating from x = 0 to x = 2. p(x) is x and h(x) is f(x) - g(x):

\displaystyle V=2\pi\int_0^2(x)((8-x^2)-(x^2))\,dx

Evaluate. Simplify:

\displaystyle V=2\pi \int_0^2(8x-2x^3)\,dx

Hence:

\displaystyle V=2\pi\Big(4x^2-\frac{1}{2}x^4\Big|_{0}^{2}\Big)

Evaluate:

\displaystyle \begin{aligned} V &= 2 \pi \Big[(4(2)^2-\frac{1}{2}(2)^4)-(4(0)^2-\frac{1}{2}(0)^4)\Big]\\ &=2\pi(8) \\&=16\pi\text{ square units} \end{aligned}

7 0
3 years ago
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