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Sergio [31]
3 years ago
12

Below are two different functions, f(x) and g(x). What can be determined about their slopes?

Mathematics
1 answer:
worty [1.4K]3 years ago
6 0
<h3>Answer: B) the function g(x) has a larger slope</h3>

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

Explanation:

The slope of f(x) is 4, since the equation y = 4x+2 has slope m = 4. Compare this to y = mx+b.

The slope of g(x) is 5. Note how if we started at (0,-2) on the red line and moved up 5 and to the right 1, we arrive at (1,3) which is another point on the red line. You could use the slope formula

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

to get the same result.

Since the slope of f(x) is 4 and the slope of g(x) is 5, we see that g(x) has a larger slope. The g(x) line is steeper compared to f(x).

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How can we check the binomial factors to verify that they are truly factors? Are the factors (x + 5)(x – 8) truly factors of x2
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They are not. The easiest way to tell this is by multiplying the last number of each parenthesis together. This should always result in the last number in the equation. However, -8*5 does not equal -30, so these are not the true factors. 
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Simplify as much as possible:<br> (A^-1B^3)^5
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3 years ago
In the data set below, what is the mean absolute deviation? 76, 67, 82, 25, 54, 15, 24
alina1380 [7]

Answer:

23.714285714286

Step-by-step

The mean absolute deviation of a set of data is the average distance between each data value and the mean.

1. Find the mean.

2. Find the distance between each data value and the mean. That is, find the absolute value of the difference between each data value and the mean.

3. Find the average of those differences.

4 0
3 years ago
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Luis plans to purchase some new baseball bats and gloves before spring training begins. Luis wants to buy the same bats and glov
hram777 [196]

Answer:

Luis will pay for three gloves and four bats = $ 270

Step-by-step explanation:

Let the bats be represented by b and gloves by g, then according to the given conditions

3b+ g= $135----equation 1

b+ 2g= $135------equation 2

Subtracting equation 2 from eq. 1 gives

3b+ g= $135----equation 1

<u>-b -2g= -$135------equation 2</u>

<u>2b -g = 0 --------- equation3</u>

2b-g= 0

or 2b= g------ equation4

This means price of 2 bats is equal to price of 1 glove.

Putting value of g in eq. 1 from eq. 4

3b+ 2b= $ 135

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b= 135/5= 27

Price of 1 bat = $ 27 and price of 1 glove= 2*27= $54

Luis will pay for three gloves and four bats

= 54*3 + 4*27

= 162+ 108

= $ 270

8 0
2 years ago
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