Answer:
1542
Step-by-step explanation:
Answer:
(1.5,2.5)
Step-by-step explanation:
f(x) = 2x^2 - 6x + 7
Take the first derivative and set it equal to 0 (the slope is 0 at the vertex)
f'(x) = 4x -6
0 = 4x - 6
4x = 6
x = 3/2 or 1.5
If x = (3/2), then y = 2(3/2)^2 - 6(3/2) + 7
y = 2(9/4) - 18/2 + 7
y = (9/2) - 2
y = 2.5
See attached graph.
The diameter of the plate is 9.24 inches
Step-by-step explanation:
Let us consider the radius to be 'r'
Angle = 120°
Chord length = 8 inches
Chord length = 2rsin(θ/2)
8 = 2r sin(120/2)
8 = 2r sin60°
8/2 = r (√3/2)
4/(√3/2) = r
r = 8/√3
r = 8/1.73
r = 4.62 inches
Diameter of the plate = 2(4.62)
= 9.24 inches
The diameter of the plate is 9.24 inches
Answer:
The roots of the equation are x=-3 and x=-2.5
Step-by-step explanation:
<u><em>The correct quadratic equation is</em></u>
2x^2+11x+15=0
we know that
The formula to solve a quadratic equation of the form
is equal to
in this problem we have
so
substitute in the formula
therefore
The roots of the equation are x=-3 and x=-2.5
Answer:
7,13,37,55,103
Step-by-step explanation:
y = 5 + 2x^2
if x =1
y = 5 + 2(1)^2
1^2 = 1
2 x 1 = 2
y=5 + 2 or y = 7
you substatute each one in for x to solve for y