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Bumek [7]
3 years ago
12

Solve F(x) for the given domain. Include all of your work in your final answer. Submit your solution.

Mathematics
2 answers:
amm18123 years ago
5 0
Hello : 
<span>F(x) = x 2 + 2 the domain is : R
F(x - h) = (x - h )² +2 = x² - 2xh +h² +2</span>
Anna71 [15]3 years ago
4 0

Answer:

As per the given statement:

F(x) = x^2+2     for all x belongs to R              ......[1]

Then, find F(x-h);

Substitute x-h in place of x in [1] we get;

F(x-h) = (x-h)^2+2

Using identity rule:

(a-b)^2 = a^2 +b^2 -2ab

Apply this rule we have;

F(x-h) = x^2+h^2-2xh+2

Therefore, final answer is, F(x-h) = x^2+h^2-2xh+2

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Write the equation of the line for the following table of values.
Luda [366]

Answer:

We conclude that the equation of the line is:

  • y = 5x + 1

Step-by-step explanation:

The slope-intercept form of the line equation

y = mx+b

where

  • m is the slope
  • b is the y-intercept

Given the data table

x      -3 -5 -7 -9 -11

y      -16 -26 -36 -46 -56

From the table taking two points

  • (-3, -16)
  • (-5, -26)

Determining the slope between (-3, -16) and (-5, -26)

\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}

\left(x_1,\:y_1\right)=\left(-3,\:-16\right),\:\left(x_2,\:y_2\right)=\left(-5,\:-26\right)

m=\frac{-26-\left(-16\right)}{-5-\left(-3\right)}

m=5

Thus, the slope of the line is:  m = 5

substituting m = 5 and (-3, -16) in the slope-intercept form of the line equation  to determine the y-intercept b

y = mx+b

-16 = 5(-3) + b

-16 = -15 + b

b = -16+15

b = 1

Thus, the y-intercept b = 1

now substituting m = 5 and b = 1 in the slope-intercept form of the line equation

y = mx+b

y = 5x + 1

Therefore, we conclude that the equation of the line is:

  • y = 5x + 1
5 0
3 years ago
A. 18 is 20 percent of what number? B. 15 is 25 percent of what number? C. 12 is 30 percent of what number? D. 24 is 40 percent
3241004551 [841]

Answer:

18=x*.20

15=x*.25

12=x*.30

24=x*.40

39=x*.60

78=x*.30

Step-by-step explanation:

To solve for x on each, divide the number on the left of the equal side by the number x is being multiplied by.  For example, 18/.20=x

5 0
3 years ago
Read 2 more answers
Okay so I need to know what 1 + 1 =?
Kobotan [32]

i know but yes i need to know it

4 0
3 years ago
Read 2 more answers
You rise 15 feet for every 1000 feet you drive forward, what is the slope?
liberstina [14]
The slope is:  \frac{3}{200} .
________________________________________________________
Note:
________________________________________________________
slope = rise/ run = 15 ft/ 1000 ft ;

          = 15/1000 = (15÷15) / (1000÷15) ;

            =  1/ (200/3) = 1* (3/200) = [tex] \frac{3}{200} [/tex] .
________________________________________________________
 
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3 years ago
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Answer:

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Step-by-step explanation:

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5 0
3 years ago
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