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3 years ago

Suppose f(x) = x^2 - 4. Find the graph of f(1/4x)

Mathematics

1 answer:

allsm [11]3 years ago

4 0

The graph is a parabola with a vertex at -4

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3 years ago

g The sixth row of Pascal's Triangle is: 1 6 15 20 15 6 1 (a) What is the 7th row of Pascal's Triangle? (b) Use your answer to t

allsm [11]

ANSWER

a)The 7th row is:

1 7 21 35 35 35 21 7 1

${(x + y)}^{7} = {x}^{7}+ 7 {x}^{6} y+ 21 {x}^{5} {y}^{2}+ 35 {x}^{4} {y}^{3} + 35{x}^{3} {y}^{4} + 21{x}^{2} {y}^{5} + 7x {y}^{6}+ {y}^{7}$

EXPLANATION

The sixth row of Pascal's Triangle is:

1 6 15 20 15 6 1.

We generate the 7th row by repeating the eXtreme 1s and adding the entries directly above to generate the entries within as show in the attachment.

The 7th row is:

1 7 21 35 35 35 21 7 1

b) We can use this to expand

${(x + y)}^{7}$

We know that the degree of x is going to decrease from left to right and the degree of y is going to increase from left to right.

${(x + y)}^{7} = 1 ({x}^{7} ) + 7( {x}^{6} y) + 21( {x}^{5} {y}^{2} ) + 35( {x}^{4} {y}^{3} ) + 35( {x}^{3} {y}^{4} ) + 21( {x}^{2} {y}^{5} ) + 7( x {y}^{6} ) + 1( {y}^{7} )$

This simplifies to,

${(x + y)}^{7} = {x}^{7}+ 7 {x}^{6} y+ 21 {x}^{5} {y}^{2}+ 35 {x}^{4} {y}^{3} + 35{x}^{3} {y}^{4} + 21{x}^{2} {y}^{5} + 7x {y}^{6}+ {y}^{7}$

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4 years ago

The cost price was $10000 she made a down payment of 2500 and agreed to pay the balance in 24 monthly installments of $350 how m

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Answer:

in total she spent 10900

Step-by-step explanation:

We know she made a down payment of 2500 dollars and she agreed to pay the balance in 24 monthly installments of 350 dollars. Thus we can do simple multiplying of 24 x 350 which gives us 8400. We also need to add in her down payment which is 2500 so in total we got 10900

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2 years ago

Find the value(s) of c guaranteed by the Mean Value Theorem for Integrals for the function over the given interval. (Round your

Keith_Richards [23]

Answer:

Step-by-step explanation:

f'(x)=-sin x

$f'(x)=\frac{cos \frac{\pi }{3} -cos (\frac{-\pi }{3}) }{\frac{\pi }{3} -(\frac{-\pi }{3}) } \\-sin x=\frac{\frac{1}{2} -\frac{1}{2} }{\frac{\pi }{3} +\frac{\pi }{3} } \\sin x=0\\at x=c ,sin c=0,c=0$

c=0∈(-π/3,π/3)

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3 years ago

Cost to store: ?<br> Markup: 15%<br> Selling price: $85.10

prohojiy [21]

Answer:

115% = 85.10

divide both sides by 115 to find 1%

1% = 0.74

now multiply both sides by 100 to find 100%

100% = 74

cost price = $74

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3 years ago

Suppose f(x) = x^2 - 4. Find the graph of f(1/4x)​

Suppose f(x) = x^2 - 4. Find the graph of f(1/4x)