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3 years ago

20. Write each equation in standard form y = a(x − p)2 +q.Please help! picture included

Mathematics

1 answer:

natulia [17]3 years ago

5 0

A.) y = 1/2x^2 -2x +7
B.) y = 0.4x^2 + 2x + 2.5

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The transformation of 'f' is represented by 'g'. Write a rule for g. f(x)=\root(3)(x). Then show your check steps.

podryga [215]

Answer:

$g(x)=-2\sqrt[3]x$

$g(x) = -2f(x)$

Step-by-step explanation:

Given

$f(x) = \sqrt[3]x$

Required

Write a rule for g(x)

See attachment for grid

From the attachment, we have:

$(x_1,y_1) = (-1,2)$

$(x_2,y_2) = (1,-2)$

We can represent g(x) as:

$g(x) = n * f(x)$

So, we have:

$g(x) = n * \sqrt[3]x$

For:

$(x_1,y_1) = (-1,2)$

$2 = n * \sqrt[3]{-1}$

This gives:

$2 = n * -1$

Solve for n

$n = \frac{2}{-1}$

$n = -2$

To confirm this value of n, we make use of:

$(x_2,y_2) = (1,-2)$

So, we have:

$-2 = n * \sqrt[3]1$

This gives:

$-2 = n * 1$

Solve for n

$n = \frac{-2}{1}$

$n = -2$

Hence:

$g(x) = n * \sqrt[3]x$

$g(x)=-2\sqrt[3]x$

or:

$g(x) = -2f(x)$

4 0

3 years ago

Mike is giving roses to some children at a carnival. He has 7 red roses, 8 yellow roses, and 9 white roses. If Mike selects a ro

Anika [276]

The probability, in simplest form, is 3/23.

There are 9+8+7=24 roses. The probability of drawing a white rose first is 9/24. The probability of then drawing a yellow rose is 8/23, as one of the roses is gone. The total probability is 9/24(8/23) = 72/552 which then simplifies to 3/23.

8 0

3 years ago

Read 2 more answers

Which of the following sets of numbers could not represent the three sides of a right<br> triangle?

umka21 [38]

Answer:

{48, 64, 81}

Step-by-step explanation:

7 0

3 years ago

A series of quarterly payments of P1,300 each at the first payment is due at 4 years, and the last payment at the end of 12 year

gtnhenbr [62]

Answer:

The Value of Payments is P18,557.15

Step-by-step explanation:

The quarterly payment is an annuity payment.

Use the following formula to calculate the present value of the payments.

PV of Annuity = Annuity Payment x ( 1 - ( 1 + interest rate )^-Numbers of periods ) / Interest rates

Where

Annuity Payment = Quarterly payment = P1,300

Interest rate = 5.12% x 3/12 = 1.375%

Numbers of periods = 4 years x 12/3 = 16 quarters

PV of Annuity = Value of Payments = ?

Placing values in the formula

Value of Payments = P1,300 x ( 1 - ( 1 + 1.375% )^-16 ) / 1.375%

Value of Payments = P18,557.15

4 0

3 years ago

What is the unit rate if the candy is $7.80 for 2 pounds?

shutvik [7]

Answer:

= 3.9 candy per pound

Step-by-step explanation:

This is a fraction equal to

7.8 candy ÷ 2 pounds

We want a unit rate where

1 is in the denominator,

so we divide top and bottom by 2

7.8 candy ÷ 2

________

2 pounds ÷ 2

3.9 candy

_______

1 pound

3.9 candy

_______

pound

= 3.9 candy per pound

7 0

3 years ago

20. Write each equation in standard form y = a(x − p)2 +q.Please help! picture included​

20. Write each equation in standard form y = a(x − p)2 +q.Please help! picture included