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Eva8 [605]
3 years ago
9

-3x minus 2 minus -6x = -4 minus -4x plus 12

Mathematics
1 answer:
DochEvi [55]3 years ago
6 0

-3x-2-6x=-4-<em>(-4x)</em>+12

-9x-2=-16x+12

7x=14

x=2.

You probably got confused with the italicized part.

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h(x)= \dfrac{1}{8} x^3 - x^2h(x)= 8 1 ​ x 3 −x 2 h, left parenthesis, x, right parenthesis, equals, start fraction, 1, divided b
Nesterboy [21]

Answer:

\dfrac{1}{2}

Step-by-step explanation:

Given the function h(x)=\dfrac{1}{8}x^3-x^2

The average rate of change of the function h(x) over the interval a\le x\le b can be calculated using formula

\dfrac{h(b)-h(a)}{b-a}

In your case,

a=-2,\\ \\b=2,

so the average rate of change is

\dfrac{h(2)-h(-2)}{2-(-2)}\\ \\=\dfrac{(\frac{1}{8}\cdot 2^3-2^2)-(\frac{1}{8}\cdot (-2)^3-(-2)^2)}{4}\\ \\=\dfrac{(1-4)-(-1-4)}{4}\\ \\=\dfrac{-3+5}{4}\\ \\=\dfrac{2}{4}\\ \\=\dfrac{1}{2}

6 0
3 years ago
Haben knows that the angle of elevation from the top of a rock formation to a stake in the ground 50 feet from its base is 42°.
Murrr4er [49]

Answer:

The height of the rock formation is 45.02\ ft

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

tan(42\°)=h/50

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4 0
3 years ago
Read 2 more answers
Answer A, B, C, Please, and Thanks!
DochEvi [55]

A) The variable on the horizontal axis of the graph (the independent variable) is "pounds of rice". That is what the first number in the ordered pair (6, 18) represents.

The variable on the vertical axis of the graph (the dependent variable) is "total cost in dollars". That is what the second number in the ordered pair represents.

(6, 18) represents that the total cost of purchasing 6 lbs of rice is $18.

B) The unit price is found at the point where the independent variable has the value 1. That would be at the point (1, 3), which indicates the unit price is $3 per pound.

C) You would have to buy 4 lbs of rice for the total cost to be $12. There are at least two ways to find the answer.

  1. Draw a horizontal line on the graph at cost = $12. It intersects the graph at lbs = 4.
  2. Divide the total cost by the unit price. $12/($3/lb) = 4 lb.
7 0
3 years ago
Select the correct answer.<br><br>which function is continuous across its domain?
SSSSS [86.1K]

Answer:

B

Step-by-step explanation:

3 0
2 years ago
Suppose a triangle has sides a,b, and c, and that a^2+b^2&gt;c^2. Let theta be the measure of the angle opposite the side of len
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B
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