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
Answer:
A. 4.25p + 3.79c
b. 28.83
Step-by-step explanation:
4.25 x 5 = 21.25
3.79 x 2 = 7.58
Answer:
P = 28 cm
Step-by-step explanation:
The area of a square is
A = s^2 where s is the side length
49 = s^2
Taking the square root of each side
sqrt(49) = sqrt(s^2)
7 =s
Now find the perimeter of the square
P = 4s
P = 4(7)
P = 28 cm
Answer: 5(5 + 2)
Step-by-step explanation: We will be using the distributive property to write a numerical expression that is equivalent to 25 + 10.
The expression 5(5 + 2) is an expression that uses the distributive property and is equivalent to 25 + 10.
5(5 + 2) is equivalent to 25 + 10 because all your doing when using the distributive property is multiply the number outside the parentheses by the numbers inside the parentheses. 5 x 5 = 25 and 5 x 2 = 10, which means 5(5 + 2) equals 25 + 10.
<span>The missing angle measure in triangle ABC is 55°.
The measure of angle BAC in triangle ABC is equal to the measure of angle
EDF in triangle DEF.
The measure of angle ABC in triangle ABC is equal to the measure of </span><span>angle EFD in triangle DEF.
Triangles ABC and DEF are similar by the angle-angle criterion.
True </span>
