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diamong [38]
4 years ago
9

2) Simplify -2(x + 4) + 5x + 10

Mathematics
1 answer:
Allushta [10]4 years ago
5 0

First distribute through the set of parentheses.

When we distribute, we multiply the number outside

times each of the terms located inside the set.

So we have -2(x) + -2(4) or -2x - 8.

Now we have -2x - 8 + 5x + 10.

Combine like terms → your numbers and your "x" terms.

-2x + 5x is 3x and -8 + 10 is 2.

So we have 3x + 2.

3x + 2 cannot be simplified any further.

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Answer:

d. x ∈ {-3, -2, 1}

Step-by-step explanation:

The word "approximate" in the problem statement suggests that the roots may not be integers. Consequently, the solution method of choice is graphing.

A graph shows the solutions to f(x)=0 to be x=-3, x=-2, and x=1, matching selection D.

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<em>Comment on the problem statement</em>

Any value of x can be put into the formula and it will be a "solution." For example, f(0) = -6 is a "solution" to the polynomial function. The problem statement is not specific as to the solution(s) sought. We have had to guess that we want values of x such that f(x)=0.

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4 years ago
Two samples were taken of fish caught on Small Lake and are shown in the table below. It is estimated that the Small Lake fish p
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Answer:

80

Step-by-step explanation:

Took the test

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Calculate the slope of the points (2,1) and (3,4). show all your work.
Angelina_Jolie [31]

Answer:

The slope of this line would be 3.

Step-by-step explanation:

To find the slope of any line, use the slope formula and the points given.

m(slope) = (y2 - y1)/(x2 - x1)

m = (4 - 1)/(3 - 2)

m = 3/1

m = 3

3 0
3 years ago
It has been estimated that the price elasticity of demand for attending baseball games is 0.23. Other things held constant, a 10
Akimi4 [234]

Answer:

Correct option: (A) 43.48% fall in the price of a ticket.

Step-by-step explanation:

The price elasticity of demand is defined as the percent change in quantity demanded to the percent change in the price.

Price\ elasticity\ of\ demand=\frac{\%\ change\ in\ quantity\ demanded}{\%\ change\ in\ price}

Given:

Price elasticity of demand = 0.23

% change in quantity demanded = 10

Compute the % change in price as follows:

Price\ elasticity\ of\ demand=\frac{\%\ change\ in\ quantity\ demanded}{\%\ change\ in\ price}\\0.23=\frac{10}{\%\ change\ in\ price}\\{\%\ change\ in\ price}=\frac{10}{0.23}\\=43.4783\\\approx43.48

Thus, a 10 percent increase in attendance can be explained by a 43.48% fall in the price of a ticket.

7 0
3 years ago
7. A boy on ice skates has a momentum of 200 kg m/s to the left at a velocity of 20
tankabanditka [31]

Answer: 10 m/s

Step-by-step explanation:

Given

Momentum of boy P=200\ kg.m/s

Mass of boy is m=20\ kg

Momentum is the product of mass and velocity

P=mv

Substitute value

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Thus, the boy is moving with a velocity of 10 m/s

4 0
3 years ago
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