X + 2 2/1=10 HELPPPPPPP!!!!!!!!!!!!!!!!!

Express y = -2x² - 4x + 7 in the form of perfect square and find the maximum points.

Marat540 [252]

Answer:

Maximum: (-1,9)

Step-by-step explanation:

Vertex form of the quadratic function

If the graph of the quadratic function has a vertex at the point (h,k), then the function can be written as:

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

Where a is the leading coefficient.

We are given the following function:

$y =-2x^2-4x+7$

To find the vertex, we need to complete squares. First, factor -2 on the first two terms:

$y =-2(x^2+2x)+7$

The expression in parentheses must be completed to represent the square of a binomial. Adding 1 and subtracting 1:

$y =-2(x^2+2x+1- 1)+7$

Taking out the -1:

$y =-2(x^2+2x+1)+2+7$

Factoring the trinomial and operating:

$y =-2(x+1)^2+9$

Comparing with the vertex form we have

Vertex (-1,9)

Leading coefficient: -2

Since the leading coefficient is negative, the function has a maximum value at its vertex, i.e.

Maximum: (-1,9)

3 0

2 years ago

There are 29 pencils in a basket. 7 of these pencils are green. The rest of them are yellow.

Sever21 [200]

A) 22:7
B) 29:22

29 - 7 = 22, so there are 22 yellow pencils.

There are 22 yellow pencils and 7 green pencils, so the ratio of yellow pencils to green pencils is 22:7.

There are 29 pencils, and 22 of them are yellow, so the ratio of all pencils to yellow pencils is 29:22.

Please consider marking this answer as Brainliest to help me advance.

5 0

3 years ago

creating a diagram so far this session a team has won 51 out of 68 games identify the value of a b c and d that complete the bar

Flauer [41]

Answer:

a = 25

b = 100

c = 17

d = 68

Step-by-step explanation:

8 0

3 years ago

after every eighth visit to a restaurant you receive a free beverage.after every tenth visit you receive a free appetizer. if yo

Alik [6]

On the 40th and the 80th you will receive both a free beverage and a free appetizer. You can find this by simply finding the multiples of both number up to 100 (or a little more than 100) to find out on which dates you'd get bothe an appetizer and beverage for free. Here are the multiples of both, to prove this answer.

8: 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96, 104.
10: 10, 20, 30, 40, 50, 60, 70, 80, 90, 100.

Thus making 40 and 80 the answers. I hope this helps!

3 0

3 years ago

Which equations represent exponential growth? Which equations represent exponential decay? Drag the choices into the boxes to co

Norma-Jean [14]

Answer:

Exponential growth functions are:

$A=20000(1.08)^{t}$