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Alex73 [517]
3 years ago
14

Which function is the result of vertically shrinking ƒ(x) = (x + 1)2 by a factor of 1∕6?

Mathematics
1 answer:
Mnenie [13.5K]3 years ago
8 0

Answer:

y=\frac{1}{6}(x+1)^2 is the result of vertically shrinking

Step-by-step explanation:

Vertical stretch or shrink

y=c \cdot f(x)

a stretch by a factor of c if  c>1

a shrink by a factor of c if c<1

c is the factor

We are given that factor = 1/6 <1

So, Vertical shrink

So, y = \frac{1}{6} \cdot f(x)

We are given that f(x) = (x + 1)^2

So,y=\frac{1}{6}(x+1)^2

Option D is true

Hence y=\frac{1}{6}(x+1)^2 is the result of vertically shrinking

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What is the quotient of 5 to the negative 6th power over 5 to the 3rd power
GarryVolchara [31]

Answer:1 over 5 to the 9th power (1 over 1953125).

Step-by-step explanation:

5^-6/5^3 hard to show fractions and exponents, but since 5^-6 is a negative exponent you must flip in, or put it on the bottom. So now you have 1 over 5 to the 9th power(1/5^9), or more simplified 1 over 1953125(1/1953125).

4 0
3 years ago
The scores on a law school entrance exam are normally distributed with a mean of 250 and a standard deviation of 50. Suppose 320
Olegator [25]
\mathbb P(X>284)=\mathbb P\left(\dfrac{X-250}{50}>\dfrac{284-250}{50}\right)=\mathbb P(Z>0.68)\approx0.248

Out of 320 student, you should expect about 25% of them to score above 284, or about 80 students.
7 0
3 years ago
What do the center, spread, and shape of a data set tell you about the data?<br> 17 points
Artemon [7]
The centre is the median of the data, so the middle number. IT can also be the mean which is the average.

The spread tells you about the rang of the data.

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5 0
2 years ago
<img src="https://tex.z-dn.net/?f=16y%20%5E%7B5%7D%20-%2012y%20%5E%7B4%7D%20%2B%204y%20%5C%5C%20%5C%5C%2064%20a%20%5Ctimes%20%5E
Shkiper50 [21]

Answer:

see explanation

Step-by-step explanation:

Assuming you require to factorise the expressions

16y^{5} - 12y^{4} + 4y ← factor out 4y from each term

= 4y(4y^{4} - 3y³ + 1)

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

64ax² - 49ay² ← factor out a from each term

= a(64x² - 49y²) ← this is a difference of squares and factors in general as

a² - b² = (a - b)(a + b) , then

64x² - 49y²

= (8x)² - (7y)²

= (8x - 7y)(8x + 7y)

then

64ax² - 49ay² = a(8x - 7y)(8x + 7y)

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1 year ago
A line and a point not on the line lie in exactly one plane. True False
Paraphin [41]
True, they exist in exactly one plane
7 0
3 years ago
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