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3 years ago

Evaluate the difference quotient for the given function. Simplify your answer.

Mathematics

1 answer:

IgorC [24]3 years ago

7 0

Answer:

-5 - h

Step-by-step explanation:

ƒ(x) = 1 + 5x - x²

[f(5 + h) -f(5)]/h

= [1 + 5(5 + h) - (5 + h)² - 1 - 5(5) +5²]/h

= (25 + 5h - 25 - 10h - h² - 25 + 25)/h

= (-5h - h²)/h

= -5 - h

The difference quotient is -5 - h.

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3 years ago

If 90 feet of wire weighs 18 pounds, what will 110 feet of the same type of wire weigh

shtirl [24]

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3 years ago

Read 2 more answers

Solve the word problem. Round your final result to the nearest hundredth.

fenix001 [56]

Answer:

1)Area of circle: 64 $\pi$

2)Area of semicircles: 128 $\pi$

3)Area of quarter-circles: 128 $\pi$

4)Total area of pattern: 320 $\pi$

Step-by-step explanation:

r = 8cm

Given: 1 circle, 4 semicircles, and 8 quarter-circles.

Area of a circle: $\pi r^{2}$

1) A = $\pi r^{2}$ where r = 8

A = 64 $\pi$

2) 4 semicircles = 2 circles

so the answer is 2*A = 128 $\pi$

3) 8 quarter-circles = 2 circles

Therefore, the answer here is the same as the answer for #2!

4)There are 5 circles total because:

1 circle = 1 circle

4 semicircles divided by 2 = 2 circles (because $\frac{1}{2}$ times 4)

8 quarter-circles divided by 4 (think about what "quarter" means) = 2 circles

So ... 1 + 2 + 2 = 5 circles

Now we need to find the area of 5 circles which is just 5*A

5*A = 320 $\pi$

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3 years ago

A bicycle tire is slowly losing air. the table shows the air pressure left in the tire after each hour. Which statement about th

kolezko [41]

Answer:

the data shows a linear relationship because the rate of change in decreasing

Step-by-step explanation:

hope it helps

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3 years ago

What is the range of the function f(x)=5x+4 when the domain is {-2,3,5}?

jonny [76]

Answer:

f (-2)=5×-2+4

= -10+4

= -6

f (3)=5×3+4

=15+4

=19

f (5)=5×5+4

25+4

=29

7 0

3 years ago