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Andreyy89
3 years ago
9

Let f(x)= x^2+1. Find and simplify the following: (a) f(x-4)= (b) f(x-4)-f(-4)

Mathematics
1 answer:
Advocard [28]3 years ago
8 0

Answer:

f(x-4) = x²-8x + 17

f(x-4)-f(-4) = x²-8x

Step-by-step explanation:

Given the function:

f(x) = x^2+1

f(x-4) = (x-4)^2+1

f(x-4 ) = x² - 8x + 16 + 1

f(x-4) = x²-8x + 17

For f(x-4)-f(-4)

f(-4) = (-4)²+1

f(-4) = 16+1

f(-4) = 17

f(x-4)-f(-4) = x²-8x + 17 - 17

f(x-4)-f(-4) = x²-8x

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Answer:

the mode is 12

Step-by-step explanation:

Arrange the numbers in order : 1 , 3, 6, 6, 9, 9, 12, 12, 12, 12, 12, 15, 15, 15, 15

Then count how many numbers that appears the most, so the number that appears the most is 12, therefore, the mode in the data set is 12 .

3 0
3 years ago
The quotient of a number and five is eight less than the number. What is the number?
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The number is 10.
x/5 = x-8
You multiply both sides by 5.
x = 5(x-8)
x = 5x-40
Subtract 5x from both sides
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4 years ago
The guidance office at a high school surveyed their 12th grade students to know in which of four states they would prefer to liv
soldier1979 [14.2K]

Hence, the two way frequency table is:

                  Action                 Drama                Comedy         total

Highschool  26/128=0.20          14/128=0.11           22/128=0.17     0.48      

College      20/128=0.16            28/128=0.22        18/128=0.14      0.52          

----------------------------------------------------------------------------------------------------------

total                   0.36                        0.33                     0.31                   1

Step-by-step explanation:

" When a two-way table displays percentages or ratios (called relative frequencies), instead of just frequency counts, the table is referred to as a two-way relative frequency table " .

We are given a table or data  as:

                         Action              Drama                     Comedy     Total

Highschool        26                     14                            22                 62

College              20                     28                            18                 68

------------------------------------------------------------------------------------------------------------

Total                            46                      42                           40               128

The total number of students in all the categories and classes are: 128

Hence the two way frequency table is constructed by dividing all the frequencies by the total number of students i.e. 128.

                               Action                 Drama                Comedy         total

High school      26/128=0.20          14/128=0.11           22/128=0.17     0.48      

College           20/128=0.16            28/128=0.22        18/128=0.14      0.52          

----------------------------------------------------------------------------------------------------------

total                      0.36                        0.33                     0.31                   1

6 0
3 years ago
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Answer:

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Step-by-step explanation:

We have been given 2 equations.

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The only option left is option 2

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