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finlep [7]
3 years ago
10

Find the average rate of change of the function between the given values of x. y = 9+ 5x + 0.5x2 between x = 2 and x = 4.

Mathematics
1 answer:
svet-max [94.6K]3 years ago
3 0

Answer:

The average rate of change is 8.

Step-by-step explanation:

The formula to calculate the average rate of change of a function F(x) is:

\frac{F(b)-F(a)}{b-a}

In this case, F(x) = 0.5x^{2} +5x+9

a=2 and b=4

You have to evaluate x=2 (which is a in the formula) and x=4 (which is b in the formula) in the function.

In order to obtain F(b) and F(a) you have to replace x=4 and x=2 in the given function:

F(b) = (0.5)4^{2} + 5(4) +9= 37

F(a) = (0.5)2^{2} + 5(2)+9=21

\frac{F(b)-F(a)}{b-a} = \frac{37-21}{4-2}=\frac{16}{2} = 8

The answer is 8.

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Simplify each expression.<br> 3+-7 -2<br> 4-16 -2(2)
ioda

"+-" should always be changed to "-".

You have 3 - 7 - 2.  You may evaluate this from left to right, obtaining -4 -2, or -6.

4 - 16 -2(2) involves multiplication, which must be carried out before addition or subtraction.  Thus, 4 - 16 - 4.  Working from left to right, we get -12 - 4 = -16

4 0
4 years ago
Read 2 more answers
A small box of oranges costs $9 and weighs 12 pounds. A large box of oranges costs $18 and weighs 30 pounds. Right now one of th
jeka94

Answer:

See Below

Step-by-step explanation:

Small Box:

9 dollars for 12 pounds

Per pound cost is:

9/12 = $0.75 per pound

Large Box:

18 dollars for 30 pounds

Per pound cost is:

18/30 = $0.60 per pound

Better deal is large box.

To make the deals same, we can change the number of pounds in the large box. We can lessen it so it becomes the same ratio as dollars to pound.

Small box was

9 to 12

Large box is 18 dollars to WHAT?

18 is double of 9 so, "WHAT" should be double of 12, which is:

12 * 2 = 24

So, we can change large box "30" pounds to "24" pounds.

So, the ratio becomes (cost per pound):

18/24 = $0.75 per pound (same)

4 0
4 years ago
I WILL GIVE BRAINLIST AND 5 STARS <br> Show that (2x + i)(2x – i) = 4x² + 1
sladkih [1.3K]

Answer:

see below

Step-by-step explanation:

(2x + i)(2x – i)

FOIL

first  2x*2x =4x^2

outer  -i * 2x = 2x i

inner i * 2x = 2x i

last i * -i = -i^2  and i^2 = -1  so - (i^2 ) = - (-1) = 1

Add together

4x^2 + 2xi -2x i +1

Combine like terms

4x^2 +1

8 0
3 years ago
What is the inverse of the following statement? If it is night, the street lights will come on. Select the best answer from the
marshall27 [118]

ANSWER

C. If it is not night, then the street lights will not come on.

EXPLANATION

The given statement is

"If it is night, then the street lights will come on"

Given the statement,

"If p, then q",

then the inverse of this statement is

"If it is not night,then the street lights will not come on"

"If not p, then not q"

The correct choice is C.

3 0
3 years ago
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