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o-na [289]
2 years ago
13

What is the maximum value of f(x)=−4x2+4x−2?

Mathematics
1 answer:
horrorfan [7]2 years ago
5 0

Answer: -1

Step-by-step explanation: A typical quadratic equation is ax^{2} +bx+c and the maximum value formula is -b/2a, so let plug it in -4/2(-4) which equals 1/2. Then let plug 1/2 into the equation,

-4(1/2)^2+4(1/2)-2=

    -1+2-2=

          -1

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tensa zangetsu [6.8K]

Explanation:

First you had to square from both sides of equation form.

(\sqrt{x-6+2})^2=6^2

Then you expanded form.

(\sqrt{x-6+2})^2=x-4

x-4=36

6^2=6*6=36

Solve by equation form.

x-4=36

Add by four from both sides of equation form.

x-4+4=36+4

Simplify.

x=40

Verified solutions.

x=40 \boxed{TRUE}

Final answer: \boxed{x=40}

Hope this helps!

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7 0
2 years ago
Select the items the crusaders brought back with them from the East.
gulaghasi [49]

Answer:Jewels, WOOL, SILK


Step-by-step explanation:

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4 0
3 years ago
Read 2 more answers
A school is planning to construct two rectangular play areas in the playground. The length of play area A must be 1 foot longer
Anna11 [10]

Answer:

А.The system has two solutions, but only one is viable because the other results in a negative width.

Step-by-step explanation:

Given

Let:

L_A \to length of play area A

W_A \to width of play area A

L_B \to length of play area B

W_B \to width of play area B

x \to Area of A

y \to Area of B

From the question, we have the following:

L_A = 1 + 4W_A

W_B = 2 + W_A

L_B = 2 + 3W_B

x = y

The area of A is:

x = L_A * W_A

This gives:

x = (1 + 4W_A) * W_A

Open bracket

x = W_A + 4W_A^2

The area of B is:

y = L_B * W_B

y = (2 + 3W_B) * ( 2 + W_A)

Substitute: W_B = 2 + W_A

y = (2 + 3(2 + W_A)) * ( 2 + W_A)

Open brackets

y = (2 + 6 + 3W_A) * ( 2 + W_A)

y = (8 + 3W_A) * ( 2 + W_A)

Expand

y = 16 + 8W_A + 6W_A + 3W_A^2

y = 16 + 14W_A + 3W_A^2

We have that:

x = y

This gives:

W_A + 4W_A^2 = 16 + 14W_A + 3W_A^2

Collect like terms

4W_A^2 - 3W_A^2 + W_A  -14W_A  - 16 =0

W_A^2  -13W_A  - 16 =0

Using quadratic calculator, we have:

W_A = -14.1 or W = 1.13 --- approximated

But the width can not be negative; So:

W = 1.19

7 0
2 years ago
The area of a parallelogram is 125 square inches and the height of the parallelogram is 10 inches. What is the lenght of the bas
kipiarov [429]

Answer:

12.5 inches is the correct answer.

Step-by-step explanation:

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6 0
3 years ago
3(5 - 2x) + 2(x-3) plz help me quick:(
trasher [3.6K]

Answer:

9-4x is simplified

Step-by-step explanation:

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7 0
3 years ago
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