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nordsb [41]
2 years ago
15

Factor the polynomial completely 10³ -25r² - 12r + 30

Mathematics
1 answer:
Olin [163]2 years ago
5 0
ANSWER
(5r^2 - 6)(2r - 5)

EXPLANATION
Factor by grouping
(10r^3 - 25r^2) + (-12r + 30)

Factor a GCF
5r^2 (2r - 5) -6 (2r - 5)

Combine groups
(5r^2 - 6)(2r - 5)

CHECK
Use FOIL

First: 5r^2*2r = 10r^3
Outside: 5r^2*-5 = -25r^2
Inside: -6*2r = -12r
Last: -6*-5 = 30
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Determine whether y varies with x. If so, find the constant of variation and write the function rule.
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Answer:  Yes, y does vary directly with x.

Constant of variation = 1/4

The function rule is  y = (1/4)x

=========================================================

Explanation:

Let's assume that y does vary directly with x.

If that's the case, then we have an equation in the form y = kx, where k is the constant of variation.

Solving for k gets us k = y/x

For each row, divide the y value over the x value

  • row one: k = y/x = 14/56 = 0.25
  • row two:  k = y/x = 20/80 = 0.25
  • row three: k = y/x = 22/88 = 0.25

Each row yields the value k = 0.25 and it fully confirms y does vary directly with x.

So y = kx becomes y = 0.25x as the function rule, which is equivalent to y = (1/4)x

6 0
1 year ago
Find the total surface area of the figure.
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Answer:

8x6x4=192. So, the answer is 192.

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2 years ago
Consider the line 5x-8y=8 what is the slope of a line perpendicular to this line what is the slope of a line parallel to this li
Sophie [7]

\text{Let}\ k:y=m_1x+b_1\ \text{and}\ l:y=m_2x+b_2,\ \text{then}\\\\l\ \perp\ k\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\\\\l\ \parallel\ k\iff m_1=m_2\\\\\text{Convert the equation to the slope-intercept form}\ y=mx+b.\\\\5x-8y=8\qquad\text{subtract}\ 5x\ \text{from both sides}\\\\-8y=-5x+8\qquad\text{divide both sides by (-8)}\\\\y=\dfrac{5}{8}x-1\to m_1=\dfrac{5}{8}\\\\perpendicular:\ m_2=-\dfrac{1}{\frac{5}{8}}=-\dfrac{8}{5}\\\\parallel:\ m_2=\dfrac{5}{8}

8 0
3 years ago
Select the reason why these triangles are similar. if they are not select no similar
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Answer:

SAS

Step-by-step explanation:

well there exactly ths same you just add what ever inside and subtract forn 180 which is an angle

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3 years ago
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siniylev [52]

Answer:

17 degrees

Step-by-step explanation:

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