Answer:
The equation would be y + 1 = 3(x + 1)
Step-by-step explanation:
In order to find the equation of this line, we have to use the slope formula to find the slope.
m (slope) = (y2 - y1)/(x2 - x1)
m = (3 - -3)/(2 - 0)
m = (3 + 3)/(2 - 0)
m = 6/2
m = 3
Now that we have that, we can use it along with the second point to put into the point-slope equation.
y - y1 = m(x - x1)
y - -1= 3(x - -1)
y + 1 = 3(x + 1)
1 yd = 3 feet....so 110 yds = 3(110) = 330 ft
330 feet / 11 seconds = (330/11) = 30 feet per second
To find the percentage,here's what we can do:
The percentage would then be:
=63/420×100%
=3/20×100%
=0.15×100%
=15%
Therefore the answer is 15%.
Hope it helps!
-2=-2y-18
2y=-18+2
2y=-16
Y=-8
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
