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3 years ago

Rewrite f(x) = –2(x − 3)2 + 2 from vertex form to standard form. pleae help.

2 answers:

7 0

F(x) = -2(x - 3)² + 2
f(x) = -2(x - 3)(x - 3) + 2
f(x) = -2[x(x - 3) - 3(x - 3)] + 2
f(x) = -2[x(x) - x(3) - 3(x) - 3(-3)] + 2
f(x) = -2(x² - 3x - 3x + 9) + 2
f(x) = -2(x² - 6x + 9) + 2
f(x) = -2(x²) - 2(-6x) - 2(9) + 2
f(x) = -2x² + 12x - 18 + 2
f(x) = -2x² + 12x - 16

zzz [600]3 years ago

6 0

F(x)=-2(x-3)2+2=f(x)=-2(x-3)

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grigory [225]

Answer:

a₇₆ = - 134

Step-by-step explanation:

The n th term of an arithmetic sequence is

$a_{n}$ = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 16 and d = a₂ - a₁ = 14 - 16 = - 2, then

a₇₆ = 16 + (75 × - 2) = 16 - 150 = - 134

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3 years ago

How can I find the y-intercept of 3x-2y≤10?

frosja888 [35]

Answer:

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x − 2 y < 10

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y > − 5+ 3 x 2

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y-intercept:

( 0 , − 5 )

Graph a dashed line, then shade the area above the boundary line since

is greater than

− 5 + 3 x 2 . y > − 5 +3 x2

4 0

3 years ago

If you spend $50 (including shipping) at an online store, you recieve a $10 gift card. You want to purchase CDs that cost $12 ea

Crazy boy [7]

Four CDs must be bought to receive a gift card from an online store.

<h3>How to determine the least number of CDs to be bought to receive a gift card</h3>

The total costs are equal to the sum of the shipping cost and the total related to the number of acquired CDs (n). The number of gift cards (m) is equal to the total costs divided by minimum spent money, that is, $ 50. We need to solve the following inequation to find the minimum quantity of CDs:

(12 · n + 5)/50 > 1

12 · n + 5 > 50

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2 years ago

Solve the equation below. 3(17x – 6.5) = 108

olga_2 [115]

Answer:

x=2.5

Step-by-step explanation:

3(17x – 6.5) = 108

Divide each side by 3

3/3(17x – 6.5) = 108/3

17x - 6.5 =36

Add 6.5 to each side

17x -6.5+6.5=36+6.5

17x = 42.5

Divide each side by 17

17x/17 = 42.5/17

x = 2.5

3 0

3 years ago

Which inequality is true? Use the number line to help. A number line going from negative 2.5 to positive 2.5 in increments of 0.

alexgriva [62]

Given:

A number line going from negative 2.5 to positive 2.5 in increments of 0.5.

To find:

The inequality which is true.

Solution:

Consider the number line as shown in the below figure.

We know that, on a line as we go to the left direction, the number become smaller and as we go right, the numbers become larger.

From the number line it is clear that -1.5 is on the left side of 0.5. So,

$-1.5$

Hence, option A is incorrect.

-0.5 is on the left side of 0. So,

$-0.5$

Hence, option B is incorrect.

-1.5 is on the left side of -0.5. So,

$-1.5$

Hence, option C is correct.

One half is equal to 0.5.

$\dfrac{1}{2}=0.5$

Hence, option D is incorrect.

3 0

3 years ago

Read 2 more answers