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Serhud [2]
3 years ago
5

Need helpppp :) questions in the picture !

Mathematics
1 answer:
Softa [21]3 years ago
8 0
Final answer is D !!

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Express y = -2x² - 4x + 7 in the form of perfect square and find the maximum points.
Marat540 [252]

Answer:

<em>Maximum: (-1,9)</em>

Step-by-step explanation:

<u>Vertex form of the quadratic function</u>

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
Solve for x.<br><br> PLEASE HELP!!
cricket20 [7]

Answer:

i dont know

Step-by-step explanation:

8 0
3 years ago
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Answer:

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3 years ago
There are three consecutive integers. The product of the first and the last is 35 more than 5 times the second number. Find thes
mamaluj [8]

Answer:

8,9,10

Step-by-step explanation:

Let x-1, x and x+1 be the consecutive integers

(x-1)(x+1) = 5x + 35

x² - 1 - 5x - 35 = 0

x² - 5x - 36 = 0

x² - 9x + 4x - 36= 0

x(x - 9) + 4(x - 9) = 0

(x - 9)(x + 4) = 0

x = 9, -4

7 0
3 years ago
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Why do the roots of a quadratic equation have the opposite sign of the factors of a quadratic equation? HELPP PLEASE ASAPP​
jenyasd209 [6]

Answer: whas the Answer?

Step-by-step explanation:

6 0
3 years ago
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