All categories

3 years ago

the graph of f(x)=2^x+1 is shown below explain how to find the average rate of change between x=1 and x=3

Mathematics

1 answer:

max2010maxim [7]3 years ago

8 0

First find the values of f(x) for x = 1 and for x = 3.
Reading off the graph they are f(x) = 3 and f(x) = 9 respectively.
You could also have found thess values by substitution of x in f(x) - eg for x = 1 f(x) = 2^1 + 1 = 3.

Average rate of change = difference in f(x) / difference in x = (9 - 3) / (3 - 1) = 6/2 = 3 answer

You might be interested in

Help me on number problem 5 please

AlekseyPX

to have 2.40$ between 30 dimes and nickels she would have to have 18 dimes being 1.80$ and 12 nickles being .60 cents.

5 0

3 years ago

(sorry bout the other one I forgot to put the picture and it wouldn't let me delete)

Sergio039 [100]

I’m pretty sure it is.

8 0

3 years ago

Read 2 more answers

100 POINTS AND BRAINLIEST

zysi [14]

Answer:

8 square units and $\frac{40}{3}$ square units

Step-by-step explanation:

The area of the triangle ABC is 24 square units.

1. Triangles ABC and FBG are similar with scale factor $\frac{1}{3},$ then

$\dfrac{A_{\triangle FBG}}{A_{\triangle ABC}}=\dfrac{1}{9}\Rightarrow A_{\triangle FBG}=\dfrac{1}{9}\cdot 24=\dfrac{8}{3}\ un^2.$

2. Triangles ABC and DBE are similar with scale factor $\frac{2}{3},$ then

$\dfrac{A_{\triangle DBE}}{A_{\triangle ABC}}=\dfrac{4}{9}\Rightarrow A_{\triangle DBE}=\dfrac{4}{9}\cdot 24=\dfrac{32}{3}\ un^2.$

3. Thus, the area of the quadrilateral DFGE is

$A_{DFGE}=A_{\triangle DBE}-A_{\triangle FBG}=\dfrac{32}{3}-\dfrac{8}{3}=8\ un^2.$

and the area of the quadrilateral ADEC is

$A_{ADEC}=A_{\triangle ABC}-A_{\triangle DBE}=24-\dfrac{32}{3}=\dfrac{40}{3}\ un^2.$

4 0

3 years ago

Read 2 more answers

Determine how many zeros, how many real or complex, and find the roots for f(x) = x3 − 5x2 − 25x + 125.

miskamm [114]

We can write this as:-

P(x) = + x^3 - 5x^2 - 25x + 125
There are 2 changes of real sign so by Descartes Rule of signs there are either 2 positive real roots or 0 positive roots.

P(-x) = - x^3 - 5x^2 + 25x + 125
There is just one change of sign so there is exactly 1 real negative root.

125 is a multiple of 5 so By rational root theorem 5 could be a positive root.

P(5) = 125 - 125 - 125 + 125 = 0 so one zero is 5
if we divide the polynomial by (x - 5) we get the quadratic
x^2 - 25
(x + 5)(x - 5) = 0

x = 5,-5

so the roots are 5 (multiplicity 2) and -5.
2 real positive zeroes and one real negative zero

7 0

3 years ago

Go to a clothing store with

olga2289 [7]

Answer:

original price $75

discount $18.75

sale price $56.25

Step-by-step explanation:

I found a pair of dress pants for $75.

Since the discount is 25%, then the discount is

25% of $75 = 0.25 × $75 = $18.75

The sale price is the original price, $75, minus the discount, $18.75.

$75 - $18.75 = $56.25

5 0

2 years ago