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3 years ago

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Mathematics

1 answer:

DedPeter [7]3 years ago

6 0

9514 1404 393

Answer:

3. vertical stretch by a factor of 2; shift right 1 and down 1

4. shift left 4 and up 4 (no stretch or shrink)

Step-by-step explanation:

The vertex form equation is ...

y = a(x -h)^2 +k

It represents a vertical stretch of the parent function by a factor of 'a', a right shift of 'h', and an upward shift of 'k'.

Compare the the given equations to the above form to see the transformations.

3. (a, h, k) = (2, 1, -1) ⇒ vertical stretch by a factor of 2; shift right 1, down 1

4. (a, h, k) = (1, -4, 4) ⇒ no vertical stretch; shift left 4, up 4

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Elijah walked 6 miles in 3 hours.what was his walking rate in hours per miles?

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Answer:

2 Miles per hour

Step-by-step explanation:

velocity (speed) formula is distance/time.

In this case, 6/3=2

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3 years ago

What is the formula of 20 is 4% of what number. How do you get the whole number

lutik1710 [3]

Well we know 4% is just 4/100.

So 20 = 4/100.

Let's find out what 1/100 is and multiply that by 100:

20/4 = 5.

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5*100 = 500.

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3 years ago

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In 1990, Dawn gross pay was $48,000.

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A. Dawn's gross monthly pay is $4,000 ($48,000/12).

B. The month that Dawn hit her maximum taxable Social Security Income is May (5 months from January to May).

C. In February, 1978, Dawn paid $260 in Social Security Tax.

D. In May, 1978, Dawn paid $110.50 in Social Security Tax, which represented the balance.

E. In November, 1978, Dawn paid $0 in Social Security Tax because by May she had completely paid the maximum Social Security Tax of $1,150.50.

<h3>Data and Calculations:</h3>

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Monthly Social Security Tax = $260 ($4,000 x 6.5%)

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2 years ago

The line x = k intersects the graph of the parabola x = -2y^2 - 3y + 5 at exactly one point. What is k? Thank you! :)

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Answer:

49/8 is the value of k

Step-by-step explanation:

We have the system

x = -2y^2 - 3y + 5

x=k

We want to find k such that the system intersects once.

If we substitute the second into the first giving us k=-2y^2-3y+5 we should see we have a quadratic equation in terms of variable y.

This equation has one solution when it's discriminant is 0.

Let's first rewrite the equation in standard form.

Subtracting k on both sides gives

0=-2y^2-3y+5-k

The discriminant can be found by evaluating

b^2-4ac.

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a=-2, b=-3, and c=5-k.

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Add 8k on both sides:

49=8k

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