All categories

3 years ago

For the function F defined by F(x) = x^2 – 2x + 4, find F(| – 4|).

Mathematics

1 answer:

Morgarella [4.7K]3 years ago

7 0

| - 4 | = 4

Thus :

f ( | - 4 | ) = f ( 4 )

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

f ( 4 ) = 16 - 8 + 4

f ( 4 ) = 16 + 4 - 8

f ( 4 ) = 20 - 8

f ( 4 ) = 12

You might be interested in

What is the average rate of change of the function over the interval x = 0 to x = 8?<br>

serious [3.7K]

Answer:

The average rate of change is:

$\frac{13}{161}$

Step-by-step explanation:

The rational function given to us is;

$f(x)=\frac{3x+4}{2x+7}$

$f(0)=\frac{3(0)+4}{2(0)+7}$

$f(0)=\frac{4}{7}$

$f(8)=\frac{3(8)+4}{2(8)+7}$

$f(0)=\frac{28}{23}=1$

The average rate of change of this function from x=0 to x=8 is the slope of the secant line connecting:

(0,f(0)) and (8,f(8))

Average rate of change = $=\frac{f(8)-f(0)}{8-0}$

$=\frac{\frac{28}{23}-\frac{4}{7} }{8}$

$=\frac{13}{161}$

7 0

3 years ago

The length of a rectangle is five centimeters less than width. Find the dimensions of the

kondaur [170]

Answer:

w is 10 and l is 5

Step-by-step explanation:

l=w-5

lw=50

w^2-5w-50=(w-10)(w+5) since the negative solution does not make sense w=10 and therefore l is 5 so the length is 5 while the width is 10

8 0

2 years ago

Lucas ate a fraction of a pizza. Hugo ate 5/8 of the same pizza. Now there is 1/8 of the pizza left what fraction of pizza did L

MatroZZZ [7]

Answer:

$\frac{2}{8}$

Step-by-step explanation:

In order to solve this equation we will need to use what we know in order to find the answer.

$1=\frac{8}{8}$

$H=\frac{5}{8}$

$R = \frac{1}{8}$

If Huge ate 5/8's of the pizza and 8/8's creates a whole pizza then the question is quite simple. There is only 1/8's remaining after the boys finish their meal but 5/8's of the pizza was already eaten by Hugo meaning Lucas has to eat 2/8's of the pizza in order for there to be only 1/8's of the pizza left which means 2/8's is your answer.

Hope this helps.

5 0

3 years ago

Use the point-slope form, y - y1 = m(x - x1), to find the linear equation of a line that passes through the points

Andreyy89

Hdhhddiirjsheiwhfrhriurjtjtjitkreiiwiejr

4 0

3 years ago

Read 2 more answers

9h + 4 - 6h + 7 *

MAVERICK [17]

1. 3h+11
2. -2r
3. g-4
4. 5f+4
5. 15z

8 0

3 years ago