What is the average rate of change of f(x)=x2+x−6 between x=1 and x=3 ?

A
5

B
–5

C
15

D
10

Answer:

[tex]f(x) = 2[\frac{3^x}{9}] + 2[/tex]

[tex]f(x) = 8(4)^x[/tex]

Step-by-step explanation:

Given

[tex]f(x) = 2(3)^{x-2} + 2[/tex]

[tex]f(x) = \frac{1}{2}(4)^{x+2}[/tex]

Required

Remove the h component

In a function, the h component is highlighted as:

[tex]f(x) = a^{x+h}[/tex]

So, we have:

[tex]f(x) = 2(3)^{x-2} + 2[/tex]

Split the exponents using the following law of indices:

[tex]a^m/a^n = a^{m-n}[/tex]

[tex]f(x) = 2*\frac{3^x}{3^2} + 2[/tex]

[tex]f(x) = 2*\frac{3^x}{9} + 2[/tex]

[tex]f(x) = 2[\frac{3^x}{9}] + 2[/tex]

The h component has been removed

[tex]f(x) = \frac{1}{2}(4)^{x+2}[/tex]

Split the exponent using the following law of indices

[tex]a^{m+n} =a^m * a^n[/tex]

So, we have:

[tex]f(x) = \frac{1}{2}(4)^x * 4^2[/tex]

Express 4^2 as 16

[tex]f(x) = \frac{1}{2}(4)^x * 16[/tex]

Divide 16 by 2

[tex]f(x) = 8(4)^x[/tex]

Answer:

32units

Step-by-step explanation:

by the what I'm seeing the bottom side is 16 and the 2 other sides are 8 respectively. so all you have to do is just add 16,8 and 8 again which will give you 32.

Answer:

32

Step-by-step explanation:

a + b + c = d

a=8 b=16 c=8

8+16+8=32

Answer:

x = 6

Step-by-step explanation:

Using the Secant and Chord intersection theorem we can say that:

(GE) (FE) = (CE) (DE)

(11 + 7) (7) = (2x - 7 + 9) (9)

(18) (7) = (2x + 2) (9)

126 = 18x + 18

108 = 18x

6 = x

Hope this helps!

Answer:

87 feet^2

Step-by-step explanation:

area of the parking space not covered by the car = area of parking space - area covered by the car

area of parking space = area of a parallelogram = base x height = 19 x 9 = 171 feet²

Area of car = area of a rectangle = length x width 14 x 6 = 84 feet²

area of the parking space not covered by the car = 171 feet² - 84 feet² = 87 feet^2

Answer:

I don't see how to answer this. What graph?

Step-by-step explanation:

Answer:

a. I think is twenty

d. ??????????

Answer:

The inequality that models the story is h < 16.

Step-by-step explanation:

The information provided states that Eduardo ONLY wants 16 hot dogs at most which means he doesn't want to cook anymore hot dogs than 16 of them. The line below the symbol means that it could also equal to that number which is what Eduardo also wants. Now that we know the inequality, we also need to graph it. All you need to do is plot the endpoint at 16 with an arrow pointing to the left. It also requires a closed circle because it doesn't mean just less than, don't forget, it means less than OR equal to. A closed circle just means to shade the dot by the way.

Answer: h < 16

Step-by-step explanation:

h (the number of hotdogs) has to be less or equal to 16

for the line do a closed circle on 16, and have the arrow go left

Answer:

The answer is 4.6%

Step-by-step explanation:

$2.30 divided by $50 multiplied by 100.

Answer:

V ≈ 263.9 units³

Step-by-step explanation:

The volume (V) of a cone is calculated as

V = [tex]\frac{1}{3}[/tex] πr²h ( r is the radius and h the height )

Here r = 6 and h = 7 , then

V = [tex]\frac{1}{3}[/tex] π × 6² × 7

   = [tex]\frac{1}{3}[/tex]π × 36 × 7

   = [tex]\frac{1}{3}[/tex]π × 252

   = 84 π

   ≈ 263.9 units³ ( to 1 dec. place )

Answer: bag 1 40%

bag 2 25%

i think hope it helped

Step-by-step explanation:

Answer:

23/5

Step-by-step explanation:

multiply denominator by whole number. add the numberator. sum will now be your new numberator (denominator always stays the same).

hope this helps! (❁´◡`❁)

Answer:

x = 65

x+x+10+40=180

2x+50=180

2x=130

x=65

Step-by-step explanation:

success

Step-by-step explanation:

Nm :/

Bored too

what r u doing?

Answer:

hi

Step-by-step explanation:

pppppppppppppp

Answer:

51

Step-by-step explanation:

Answer: 58

Step-by-step explanation:

Answer: the answer is 58

you could've used calculator lol.

hope it's right.

Step-by-step explanation:

Answer: 3/16

Step-by-step explanation: after giving it to Alex and Marisa there is only 3/8 left. Half of 3/8 is 1.5/8 or 3/16

Answer:

A

Step-by-step explanation:

1/2(2/3y) - 1/3y = 5

1/3y - 1/3y = 5

0 ≠ 5

No Solutions

These are linear equations and, when graphed, are parallel

Answer:

D.) Bring in the computer and the criminal when they come to court.

It came in my test.

Answer:

Calculating two points and drawing the line between the two.

Explanation:

To find the y-intercept, put x = 0

y = 2 (0) - 1

y = -1

To find the x-intercept, put y = 0

2x - 1 = 0

2x = 1

x = 1/2

Draw your system of axis. Mark -1 on the y-axis, and 1/2 on the x-axis.

Now draw a line through these two ponts. Add arrows.

==============================================

To draw the graph by using points,

let x = -1, then y = 2 (-1) - 1 = -2 - 1 = -3

first point is (-1; -3)

Let x = 0, y = 2 (0) - 1 = -1

Second point is (0; -1)

Let x = 1, y = 2(1) - 1 = 1

Third point is (1; 1)

Plot the three points and draw a line through them. Add arrows to your line.

Answer:

See explanation

Step-by-step explanation:

A. 4.8 divided by 0.6

= 4.8 / 0.6

= 8

b.0.48 divided by 0.06

= 0.48 / 0.06

= 8

c. 8.4 / 0.7

= 12

d. 0.84 divided by 0.07

= 0.84 / 0.07

= 12

e.4.5 divided by 1.5

= 4.5 / 1.5

= 3

f. 0.45 divided by 0.15

= 0.45 / 0.15

= 3

g. 14.4 divided by 1.2

= 14.4 / 1.2

= 12

h. 1.44 divided by 0.12

= 1.44 / 0.12

= 12

Answer:

17² = 15² + 8²

2² = (√2)² + (√2)²

Step-by-step explanation:

A triangle is a polygon with three sides and three angles. There are different types of triangles such as right angled, acute, obtuse and isosceles triangle.

In right angle triangle, one angle is 90°. From Pythagoras theorem, the square of the longest side (hypotenuse) is equal to the sum of the square of the two sides. Hence:

33² ≠ (√8)² + 5² (not right triangle)

17² = 15² + 8² (right triangle)

2² = (√2)² + (√2)² (right triangle)

Answer:

(9,-6)

(9,2)

(8,2)

(8,-6)

Step-by-step explanation:

To reflect something over the y axis all you have to do is change the sign of the X coordinate

which means that

(-9,-6) is (9,-6)

The other answers are

(9,2)

(8,2)

(8,-6)

Answer:

Circumference: 25.12

Area: 50.24

Step-by-step explanation:

Circumference: 3.14*8

Area: 1/4*3.14*8*8

Answer: Hey there do you have numbers of the sides or something in that form if not you will need to use a ruler measure height and width You only need to measure one Height and one width and then multiply those two for your answer. sorry i couldn't help more with your question.

Step-by-step explanation:

Answer:

62

Step-by-step explanation:

x+37+81=180, x=62

Answer:the answer is o.7.7

Step-by-step explanation:

a pottery shop uses 493 pounds of clay each week. about

how many pounds of clay will the shop use in 36 weeks?

493*36= 17,748 pounds of clay

Answer:

[tex](180 - 15) = 165[/tex]