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monitta
3 years ago
13

Given f(x)= 2x²+4x-6 and g(x)=2x-2, find each function

Mathematics
1 answer:
valkas [14]3 years ago
5 0
F(x)= 2x²+4x-6 and g(x)=2x-2, find each function
1. (f/g) (x) = f(x)÷g(x) = (2x²+4x-6)÷(2x-2)
First factor both top and bottom:
(2x-2)(x+3)÷(2x-2) = x+3

2. f(a + 2) = plug (a+2) in anywhere there is an x in f(x)=2x²+4x-6 -->
2(a+2)^2 +4(a+2)-6 = 2(a^2+4a+4)+4a+8-6, now distribute:
2a^2+8a+8+4a+2, combine like terms
2a^2+12a+10

3. g(a/2) = plug (a/2) in anywhere there's an x in g(x)=2x-2:
2(a/2)-2 = a-2
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Listed below are the top 10 annual salaries​ (in millions of​ dollars) of TV personalities. Find the​ range, variance, and stand
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Answer:

Step-by-step explanation:

The data is written wrongly. The correct data is:

42, 40, 38, 31, 22, 19, 17, 16, 15.9, 15.0

Range = largest value - smallest value

Range = 42 - 15 = 27

n = 10

The mean of the set of data given is

Mean = (42 + 40 + 38 + 31 + 22 + 19 + 17 + 16 + 15.9 + 15.0)/10 = 25.59

Standard deviation = √(summation(x - mean)²/n

Variance = Summation(x - mean)²/n =

Summation(x - mean)² = (42 - 25.59)^2 + (40 - 25.59)^2 + (38 - 25.59)^2 + (31 - 25.59)^2 + (22 - 25.59)^2 + (19 - 25.59)^2 + (17 - 25.59)^2 + (16 - 25.59)^2 + (15.9 - 25.59)^2 + (15.0 - 25.59)^2 = 1088.329

Variance = 1088.329/10 = 108.8329

Standard deviation = √variance = √(108.8329 = 10.43

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Answer:

Your answer would be G, since point G is opposite of point B, and is a ray.

Step-by-step explanation:


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