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3 years ago

Which transformations to the graph of j(x) would result in the graph of j(4x)-27

Mathematics

2 answers:

GarryVolchara [31]3 years ago

7 0

Answer: Option D

Horizontal compression by a factor of 1/4, and a translation 27 units down

mrs_skeptik [129]3 years ago

5 0

Answer:

Composition and vertical translation must be done in the parent function.

Step-by-step explanation:

Let be $j(x)$ the parent function, if $g(x) = j(4\cdot x) -27$ , then two transformation must be done in the following order:

Composition

$j \circ h (x) \rightarrow j(h(x))$ , where $h(x) = 4\cdot x$

Vertical translation

$g(x) = j(4\cdot x) -27$

Composition and vertical translation must be done in the parent function.

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In the equation (x^2+y)^5, what is the coefficient of the term x^4y^3? what is the coefficient of the same term in the expansion

lys-0071 [83]

$\displaystyle
(x+y)^n=\sum_{k=0}^n\binom{n}{k}x^{n-k}y^k$

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

$\displaystyle
(x^2+y)^n=\sum_{k=0}^n\binom{n}{k}x^{2n-2k}y^k\\
n=5\\
k=3\\\\\binom{5}{3}=\dfrac{5!}{3!2!}=\dfrac{4\cdor5}{2}=10$

It's 10.

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

$\displaystyle
(3x^2+y)^n=\sum_{k=0}^n\binom{n}{k}(3x)^{2n-2k}y^k=\sum_{k=0}^n\binom{n}{k}\cdot 3^{2n-2k}\cdot x^{2n-2k}y^k\\\\
n=5\\
k=4\\\\
\binom{5}{3}\cdot3^{2\cdot5-2\cdot4}=10\cdot3^{2}=10\cdot9=90$

It's 90

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3 years ago

What are two other names for ray CD?

Masja [62]

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3 years ago

When renting a limo for prom, the number of people varies inversely with the cost per person. Originally there were 4 people and

ioda

Answer:The new cost per person= $19 when there are 12 people

Step-by-step explanation:

Step 1

Let Number of people be rep as N

And Cost per person = C

such that the relationship of number of people which varies inversely with the cost per person is given as

N∝ 1/C

Introducing constant of proportionality, k, we have that

N= K/C

such that when there were 4 people the cost per person was $57, K would be

N= K/C

4 = K /57

k= 57 X 4

k=228

Step 2

Therefore If the number of people changed to 12, cost per person would be

N= K/C

12= 228 / C

C= 228/12

C= 19

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Answer:

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Step-by-step explanation:

I think this is the answer

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2 years ago

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fiasKO [112]

Answer:

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Step-by-step explanation:

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3 years ago

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