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3 years ago

Two exponential functions are shown in the table.

Mathematics

1 answer:

andre [41]3 years ago

7 0

Answer:

The function f(x) is a decreasing function , g(x) is an increasing function.

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Claire has a hot tube with a diameter of 7feet.She wants to purchase a cover to protect the hot tub.What is the area of the cove

Vikki [24]

Answer:

38.465 ft²

Step-by-step explanation:

the area of a circle can be calculated using the following formula:

$A=\pi *r^2$

the radius is half of the diameter:

$\frac{1}{2} *7=3.5$

$\pi *3.5^2=38.465\\\pi * 12.25 = 38.465$

8 0

3 years ago

Sin(150 + x)+ sin(150 − x) = cos x

77julia77 [94]

Answer:

Below.

Step-by-step explanation:

We need to prove this identity by taking the left side and trying to transform it to the right side.

LHS = sin(150 + x) + sin(150 − x)

= sin 150 cos x + sin x cos 150 + sin 150 cos x - sin x cos 150

= 2 sin 150 cos x

= 2 * 1/2 * cos x

= cos x = RHS.

So it is proved.

8 0

3 years ago

F(x)=-x+2f(x)=−x+2, find f(6)f(6).

Vesna [10]

Answer:

f(6) = - 4

Step-by-step explanation:

Substitute x = 6 into f(x) , that is

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

7 0

3 years ago

1. Calculate the rate of change for the following data:

expeople1 [14]

the slope goes by several names

• average rate of change

• rate of change

• deltaY over deltaX

• Δy over Δx

• rise over run

• gradient

• constant of proportionality

however, is the same cat wearing different costumes.

well, to get it all we need is two points, say hmmm let's use (-1 , -7) and (7 , 25)

$(\stackrel{x_1}{-1}~,~\stackrel{y_1}{-7})\qquad (\stackrel{x_2}{7}~,~\stackrel{y_2}{25}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{25}-\stackrel{y1}{(-7)}}}{\underset{run} {\underset{x_2}{7}-\underset{x_1}{(-1)}}}\implies \cfrac{25+7}{7+1}\implies \cfrac{32}{8}\implies 4$