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Andru [333]
3 years ago
7

Which expression below gives the average rate of change of the function h(x) = 4^x+2 + 7 on the interval –3 ≤ x ≤ 5?

Mathematics
1 answer:
expeople1 [14]3 years ago
4 0

Answer:

4^(5+2) + 7 - (4^(-3+2) +7)

--------------------------------------

5 +3

Step-by-step explanation:

The average rate of change is given by

h(5) - h(-3)

---------------

5 - -3

h(5) - h(-3)

---------------

5 +3

h(5) = 4^(5+2) + 7

h(-3) = 4^(-3+2) +7

4^(5+2) + 7 - (4^(-3+2) +7)

---------------

5 +3

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Solve the following equation. Then place the correct number in the box provided. 2(x + 1 ) - 3(x + 5) ≥ 0
larisa86 [58]

Answer:

13

Step-by-step explanation:

2x+2-3x-15>0

-x+13>0

-x>0-13

x>-13/-1

x>13

5 0
3 years ago
Toniac 123 can you please help me with these questions. They are part of of the question you answered. There is another question
uranmaximum [27]
5/12+5/12=10/12
10/12+10/12=20/12 wich =1.666666666666667theres ur answer to one.
dont know the answer to the other one
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Hope that helps

8 0
3 years ago
A spherical cantaloupe is cut in half. The visible cross-section has an area of 5252 in2. The volume of the cantaloupe is _____
artcher [175]

Answer:

V = 286319.465 cm3

Step-by-step explanation:

First, you have to find the radius to be able to find the volume of a sphere.

The equation for the area of a circle is pi r^2 so you have to so some algebra.

5252 = pi r ^2

5252/pi = r^2

1671.76352 = r^2

sqrt(1671.76352) = r

r = 40.8872048

then you do the equation for the volume of a circle which is 4/3 pi r^3

4/3 pi (40.8872048)^3

4/3 pi 68353.7373

4/3 214739.599

286319.465

V = 286319.465 cm3

6 0
3 years ago
You are playing a card game with friends. at one point. you double your score. in the next hand you lose 75 points. you end up w
Gnoma [55]

Answer:

i) x points; ii) 2x - 75 = -25; iii) x = 25

Step-by-step explanation:

i) Starting points

Let's say you had x points before doubling your score.

(ii) The equation

 After doubling score: 2x points

After losing 75 points: (2x - 75) points

         At end of game: -25 points

The equation is

2x - 75 = -25

iii) Solution to equation

2x - 75 = -25     Add 75 to each side

      2x =  50     Divide each side by 2

        x =  25

3 0
4 years ago
Question 2 of 5<br> Which best defines a ray?
Ede4ka [16]

Answer:

A ray is known as a half-infinity line. As it starts from a point while the other end is pointing towards the direction till infinity.

As already discussed ray shows a direction as well, therefore, it is a vector quantity and is denoted by an arrow over the line name.

As shown below a ray can be drawn. therefore,  which is starting from point A and continuing toward the right side infinity.

Step-by-step explanation:

I know math :)

5 0
2 years ago
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