All categories

2 years ago

The functions f and g are defined as follows.

Mathematics

1 answer:

monitta2 years ago

7 0

Answer:

f(-3)= -48 g(6)= -8

Step-by-step explanation:

the the numbers into the corresponding functions and simplfy following the order of operations which would look like this:

f(-3)=2(-3)^3 + 6

=2(-27)+6

=-54+6

f(-3)=-48

and

g(6)= -2(6)+4

= -12+4

g(6)= -8

Hope this helps! :)

You might be interested in

Big Louie's Pizza House sells a 12" square pan pizza for $3.95 and a 24" square pan pizza for $14.95. Which pizza is a better de

Alex_Xolod [135]

Answer:

The pizza that is a better deal is 12" square pan pizza for $3.95.

Step-by-step explanation:

This is because if you get 2 of the 12" square pan pizzas it will be 24" and you will only have to pay $7.90. but if you bought the 24" square pan pizza you would have to pay $14.95 which isnt a fair price.

4 0

2 years ago

9. Select the value below that is between 0.5 and 0.65. *<br> 0.055<br> 3/4<br> 6%<br> 5/9

ehidna [41]

Answer:

0.5<

Step-by-step explanation:

5/10<5+65/10+100<65/100

=5/10<5+65/10+100<65/100

=1/2<1+13/2+20<13/20

=1/2<14/22<

8 0

3 years ago

My state's lottery has 30 white balls numbered from 1 through 30 and 20 red balls numbered from 1 through 20. In each lottery dr

seropon [69]

The three whites:

(30 choose 1) * (29 choose 1) * (28 choose 1) = 30 * 29 * 28

The two reds:

(20 choose 1) * (19 choose 1) = 20 * 19

So, The three whites + two reds = 30 * 29 * 28 + 20 * 19 = 24740

7 0

3 years ago

True or False

fgiga [73]

Answer:

false bc the y intercept is in a different place which in return would alter the entire equation

3 0

2 years ago

Read 2 more answers

1. What are the solutions (coordinate points) to the system of equations?

Leto [7]

Question 1

The given system of equations is:

$y = {x}^{2} + 5x + 6 \\ y = 3x + 6$

Equate the two equations:

${x}^{2} + 5x + 6 = 3x + 6$

Rewrite in standard form:

${x}^{2} + 5x - 3x + 6 - 6 = 0$

${x}^{2} + 2x = 0$

$x(x + 2) = 0$

$x = 0 \: or \: x = - 2$

When we put x=0, in y=3x +6, we get:

$y = 3(0) + 6 = 6$

One solution is (0,6)

When we put x=-2, into y=3x+6, we get:

$y = 3( - 2) + 6 = 0$

Another solution is (-2,0)

The solutions are; (0,6) and (-2,0)

Question 2:

The function is

$f(x) = {x}^{6} - {x}^{4}$

Let us put x=-x,

$f( - x) = {( - x)}^{6} - {( - x)}^{4}$

This gives:

$f( - x) = {x}^{6} - {x}^{4}$

We can observe that:

$f(x) = f( - x)$

This is the property of an even function.

Question 3:

The given function is

$f(x) = {x}^{2} + 3x - 2$

The average rate of change of f(x) from x=a to x=b is given as:

$\frac{f(b) - f(a)}{b - a}$

This is the slope of the secant line connecting the two points on f(x)

From x=2 to x=6, the average rate of change

$= \frac{f(6) - f(2)}{6 - 2} \\ = \frac{ {6}^{2} + 3 \times 6 - 2 - {2}^{2} - 3 \times 2 + 2 }{4} \\ = \frac{36 + 18 - 4 - 6}{4} \\ = \frac{44}{4} \\ = 11$

The average rate of change is 11

3 0

3 years ago