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REY [17]
3 years ago
5

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

Mathematics
2 answers:
-Dominant- [34]3 years ago
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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Find the 76th term of the arithmetic sequences 16 14 12
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

7 0
3 years ago
How can I find the y-intercept of 3x-2y≤10?
frosja888 [35]

Answer:

Step-by-step expla3

x − 2 y < 10

Solve for  y .

Tap for more steps...

y > − 5+ 3 x 2

Find the slope and the y-intercept for the boundary line.

Tap for more steps...

Slope:  

3 2

y-intercept:  

( 0 , − 5 )

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

y

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 <em>online</em> store.

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

The <em>total</em> costs are equal to the sum of the <em>shipping</em> cost and the total related to the number of <em>acquired</em> CDs (n). The number of gift cards (m) is equal to the total costs divided by <em>minimum spent</em> 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

12 · n > 45

n > 45/12

n > 3.75

Four CDs must be bought to receive a gift card from an <em>online</em> store.

To learn more on inequalities: brainly.com/question/20383699

#SPJ1

7 0
2 years ago
Solve the equation below.<br> 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
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