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3 years ago

Question 8 of 10

Mathematics

1 answer:

VikaD [51]3 years ago

8 0

9514 1404 393

Answer:

B. The graph of g(x) is the graph of f(x) horizontally stretched by a factor of 5

Step-by-step explanation:

Replacing x by x/5 in a function causes its graph to be stretched horizontally by a factor of 5. This is because x must be 5 times as large in order for the function argument to be the same.

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Henry’s age is 10 years less than 4 times Paul’s age. If the sum of their ages is equal to 25 years, find the age of each boy.

Mazyrski [523]

Answer:

Henry is 18 and Paul is 7

Step-by-step explanation:

I figured it out in my head.

6 0

3 years ago

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It costs $17.60 for a pack of 4 padlocks. Find the unit price in dollars per padlock.

Tomtit [17]

The unit price per padlock would be $4.40
Work: $17.60 (17.60)÷4= 4.4 ($4.40)

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3 years ago

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Pete saw that he was 200 yards from shore when he dove out of the boat. It took him 49 seconds to swim the first 50 yards. At th

Ivenika [448]

Answer:

147 seconds to get to the shore(after the 49 seconds)

Step-by-step explanation:

If Pete swam at a constant speed of 50 yards/49 seconds, you just have to multiply that by four, to get 200 yards. If you want the total time from his boat to shore, that is 196. If you want how much longer it would be, it would be 147 seconds

for minutes, just divide by 60

7 0

3 years ago

How do you write the equation for 4.

Readme [11.4K]

This is an exponential growth problem of the form:

F=Ir^t, F=final amount, I=initial amount, r=rate, t=time

In this case:

F=50(1.08^t)

F(17)=50(1.08^17)

F(17)=$185.00

8 0

3 years ago

How to find the limit of that question

jeka94

Factor the numerator using difference of cubes:
$a^3 - b^3 = (a-b)(a^2 +ab+b^2)$
a = x
b = 2

$\frac{x^3 - 8}{x-2} = \frac{(x-2)(x^2 +2x+4)}{x-2} = x^2 +2x+4$

Now you can evaluate limit as x=2.
$\lim_{x \to 2} (x^2 +2x+4) = 2^2 +2(2)+4 = 12$

5 0

4 years ago