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3 years ago

Consider the function f(x) = (x+ 1)2 - 1. Which of the following functions stretches

Mathematics

1 answer:

Luba_88 [7]3 years ago

4 0

Answer:

Step-by-step explanation:

A coefficient of 4 would have to be added in front of (x+1)^2 in order to vertically stretch the function by a factor of 4.

The answer that demonstrates this is choice C: $f(x) = 4(x+1)^2-1$

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Yuri [45]

Answer:

X = {8n – 7n – 1 : n ϵ N}

Y = {49 (n –1) : n ϵ N} — (1) [all terms divisible by 49]

X = {8n – 7n – 1}

= (1 + 7)n – 7n – 1

= 1 + nC1 7 + nC2 72 + ….. + nCn 7n – 7n – 1

= nC2 72 + …… + nCn 7n

= 49 [nC2 + nC3 7 + …. nCn 7n-2] — (2)

From (1) and (2),

X is divisible by 49.

Y has all multiples of 49.

X ⊂ Y

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3 years ago

What is the slope of (-1,-2) and (5,-3)

Andrew [12]

Answer:

M = -1/6

Step-by-step explanation:

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A rock is dropped from a height of 100 feet. Calculate the time between when the rock was dropped and when it landed. If we choo

andre [41]

The time it takes between when the rock was dropped and when it landed is 1.33 seconds.

<h3>What is the time it takes for the rock to land?</h3>

The time it takes the rock to land on the ground from where it is dropped can be determined by using the function given.

The height of the function when it hits the ground will be zero, so the function can be written as:

$\mathbf{h(t) =36t^2 -64}$

$\mathbf{0 =36t^2 -64}$

64 = 36t²

$\mathbf{t^2 = \dfrac{64}{36}}$

t² =1.778

$t = \sqrt{1.778}$

t = 1.333 seconds

Learn more about calculating the time of a function here:

brainly.com/question/26898697

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2 years ago