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Lelechka [254]
4 years ago
14

F(x)=-2x-1 and g(x)=x^2-1. Find (fog)(-5).

Mathematics
1 answer:
serg [7]4 years ago
7 0

Answer: - 49

Step-by-step explanation:

f(x) = -2x - 1

g(x) = x^{2} - 1

fg(x) = f (x^{2} - 1) , we just put in the value of g(x) , the next thing is to substitute x^{2} - 1 for the value of x in f(x) , that is

fg(x) = -2(x^{2} - 1) - 1

fg(x) = -2x^{2} + 2 - 1

fg(x) = -2x^{2} + 1

Therefore : fg(-5) means we will substitute -5 for x in fg(x) , that is

fg(-5) = -2 ((-5)^{2} + 1

fg(-5) =  -2(25) + 1

fg(-5) = -50 + 1

fg(-5) = -49

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In 2001 , chipper had 102 runs batted in. In 2008, Chipper had only 75 runs batted in. Calculate the percent change in runs batt
DerKrebs [107]

Answer:

The percent change in runs batted in from 2001 to 2008 is 26.47%

Step-by-step explanation:

The number of runs chipper batted in the year 2001  = 102 runs

The number of runs chipper batted in the year 2008  = 75 runs

Here, so the Change in the runs batted

= Runs Batted in year 2001 - Runs batted in the year 2008

= 102 runs - 75 runs  =  27 runs

Now, The percentage change in the run = = \frac{\textrm{Change in the batted run from 2001 to 2008}}{\textrm{Total number of batted runs in 2001}}  \times 100

= \frac{27}{102}  \times 100 = 26.47

or, The percentage change = 26.47%

Hence, the percent change in runs batted in from 2001 to 2008 is 26.47%

5 0
3 years ago
|6m|=42 please help me with absolute value
ANTONII [103]
Since there is nothing on the left side of the equation besides the absolute value, you have to take 6m out of the absolute value and create 2 separate equations. These 2 equation will be 6m = 42 and 6m = -42.

You solve the equations normally:
6m = 42     6m = -42     (inverse to get m by itself, do on both sides)
/6      /6      /6       /6

  m = 7        m = -7


The answer is a solution set:
[7, -7]

3 0
3 years ago
The measure of an angle is 23 less than 5 times it’s supplement. Find the angle measurement. Show/explain work
sertanlavr [38]
Let the measure of an angle be "a"
let the supplement be "s"

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8 0
3 years ago
Ben weighs 140.8 pounds, and Jennifer weighs 117.7 pounds. How many more pounds does Ben weigh than Jennifer?
DENIUS [597]

Answer:

Ben weighs 23.1 lbs more than Jennifer.

Step-by-step explanation:

To find the difference between Ben and Jennifer's weight, you have to subtract the smaller number from the bigger number. In this case, subtract Jennifer's weight from Ben's weight. This would look like this: 140.8-117.8.

140.8-117.7=23.1

Therefore, Ben weighs 23.1 lbs more than Jennifer.

8 0
3 years ago
A matched-pairs t-test is NOT an appropriate way to analyze data consisting of which of the following? Measurements of annual in
o-na [289]

Answer:

Step-by-step explanation:

A matched pair t test is one in which the set of data is divided into two sets of data and the test is done to test the difference between the pairs. Sometimes this is called paired t test.\

This is done normally where one group of sample or population can be paired with other group of sample /population.

Hence

A .Measurements of annual income for each twin for 100 randomly selected pairs of twins -- True

B. Measurements of annual income for both individuals in pairs formed by matching 100 people from State A and 100 people from State B based on level of education -- True

C. Measurements of annual income for both individuals in pairs formed by assigning 100 people to pairs at random -- True

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7 0
3 years ago
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