Given the function f(x) =-2x^2 + 4x -7 find f(-4)

Answers

Answer 1

Answer: Correct the answer is -55

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If 2/3x+1/2y=5 what is the value of 4x+3y

Answers

Final answer:

To find the value of 4x + 3y, the given equation can be solved by clearing the fractions and simplifying the expression. The value of 4x + 3y is 30.

Explanation:

To find the value of 4x + 3y, we need to first solve the given equation for either x or y. Let's solve the equation for x:

2/3x + 1/2y = 5

Multiplying both sides of the equation by 6 to clear the fractions gives us:

4x + 3y = 30

Therefore, the value of 4x + 3y is 30.

Learn more about Solving Equations here:

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Slope=
2.000
2.667

=1.333
x−intercept=
4
30

=
2
15

=7.50000
y−intercept=
−3
30

=
−1
10

=−10.00000

A small company that manufactures snowboards uses the relation below to model its profit. In the model,represents the number of snowboards in thousands, and P represents the profit in ten thousands of dollars.
What is the maximum profit the company can earn? How many snowboards must it produce to earn this
maximum profit?
a. Factor P =
4x2 + 32x + 336 to find the roots.
b. Find the axis of symmetry then use it to find the vertex.
c. Therefore, we need to see snowboards to make a maximum profit of

Answers

Answer:

a) x₁ = 14

x₂ = - 6

b) x = 4

c) P(max ) = 4000000 $

Step-by-step explanation:

To find the axis of symmetry we solve the equation

a) -4x² + 32x + 336 = 0

4x² - 32x - 336 = 0 or x² - 8x - 84 = 0

x₁,₂ = [ -b ± √b² -4ac ]/2a

x₁,₂ = [ 8 ±√(64) + 336 ]/2

x₁,₂ = [ 8 ± √400 ]/2

x₁,₂ =( 8 ± 20 )/2

x₁ = 14

x₂ = -6

a) Axis of symmetry must go through the middle point between the roots

x = 4 is the axis of symmetry

c) P = -4x² + 32x + 336

Taking derivatives on both sides of the equation we get

P´(x) = - 8x + 32 ⇒ P´(x) = 0 - 8x + 32

x = 32/8

x = 4 Company has to sell 4 ( 4000 snowboard)

to get a profit :

P = - 4*(4)² + 32*(4) + 336

P(max) = -64 + 128 + 336

P(max) = 400 or 400* 10000 = 4000000

What single angle is the vertical angle to

Answers

The supplement of <DCE is <ACE, remember, a supplementary pair is a pair of two angles whose sum of degrees sums up to 180 degrees.

The verticle angle to <BCD is <ACF. A verticle angle is formed when two lines intersect, there are four angles formed, the verticle angles are the angles opposite to each other, and verticle angles are congruent.

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