Good at math & need points? help!!

If the graph of the function f defined by f(x)= −2x^2+1 is translated vertically downward by 3 units, it becomes the graph of a

Katena32 [7]

Answer:

h(x) = -2x^2 -2

Step-by-step explanation:

You know that translating the point (a, b) vertically downward by 3 units will make it be the point (a, b-3).

The same translation works on the point (x, f(x)), or when a=x and b=f(x). Translated downward by 3 units, the point becomes ...

(x, f(x) -3)

You want to name this (x, h(x)), so we have ...

h(x) = f(x) -3

h(x) = -2x^2 +1 -3 . . . substitute the expression for f(x)

h(x) = -2x^2 -2 . . . . . simplify

7 0

4 years ago

Let P(-6, 4) be a point on rectangle PQRS. What are the coordinates (x, y) of P´ if the rectangle is dilated by a scale factor o

Wittaler [7]

Answer:

Part A From the choices provided, select all the questions that represent statistical questions. What was the temperature at 5:00 p.m. today in Boston? What was the temperature at 5:00 p.m. today in Boston? How many pieces of fruit were used to make Shawn’s smoothie today? How many pieces of fruit were used to make Shawn’s smoothie today? How many states are there? How many states are there? What types of food do students in your school bring for lunch each day? What types of food do students in your school bring for lunch each day? How many books did each student check out at the library last year? How many books did each student check out at the library last year? Question 2 Part B Of the statistical questions you selected, which are categorical? Explain.

4 0

3 years ago

Lucy recieves a gift of a twenty-one year annuity on the day she was born. The annuity pays $500 on her odd birthday and $700 on

suter [353]

Explanation:

Let i represent the nominal annual interest rate (8%). Then the effective annual multiplier of the principal is ...

(1 +i/12)^12 = (1+.08/12)^12 ≈ 1.0829995

Then the 2-year multiplier is the square of this:

1+r = (1.0829995)² = 1.1728879

We can use the formula for the present value of an annuity to refer all of the odd-birthday payments to 1 year prior to birth, then adjust by the above annual multiplier. All the even-birthday payments will have the formula applied in the usual way.

PV = P(1 -(1+r)^-n)/r

where P is the payment amount, (1+r) is the periodic multiplier, and n is the number of payments.

For the odd-birthday payments, the PV (1 year early) is ...

PV = $500(1 -(1.1728879)^-11/0.1728879 = $2391.5704

so, the amount referred to the day of birth is ...

1.0829995 × $2391.5704 = $2590.07 . . . . . PV of odd-birthday payments

__

The value of even-birthday payments is ...

PV = $700(1 -(1.1728879)^-10/0.1728879 = $3227.06

And the total value of both sets of payments is ...

annuity value = $2590.07 +2337.06 = $5817.13

_____

<em>Alternate solution</em>

You could also work this using the PV formula on the sum of ten sets of two years' payments: (700 +500/1.083) and then add the PV of the first odd-year birthday payment: 500/1.083.

This gives ...

500/1.083 + (700 +500/1.083)(1 -(1.1729^-10))/0.1729 = 5817.13

3 0

4 years ago

What is the profitability index of an investment with cash flows in years 0 thru 4 of -340, 120, 130, 153, and 166, respectively

ki77a [65]

The profitability index of an investment with cash flows in years 0 thru 4 of -340, 120, 130, 153, and 166, respectively, and a discount rate of 16 percent is: 15%.

<h3>Profitability index</h3>

First step is to find the Net present value (NPV) of the given cash flow using discount rate PVF 16% and PV of cash flow which in turn will give us net present value of 49.7.

Second step is to calculate the profitability index

Profitability index = 49.7/340

Profitability index = .15×100

Profitability index=15%

Therefore the profitability index of an investment with cash flows in years 0 thru 4 of -340, 120, 130, 153, and 166, respectively, and a discount rate of 16 percent is: 15%.

Learn more about Profitability index here:brainly.com/question/3805108

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3 0

1 year ago

I’m factoring trinomials please help

Mila [183]

Answer:

I'll text you so I can help you for sure

6 0

3 years ago