So this would be a cubic graph because the largest exponent is a 3.
The Y-intercepts can be found by making all the x's equal 0, so then that would end up being -96 (makes sense considering a cubic graph intercepts at the origin, and this graph moves it down 96 units.
The X-intercepts (the zeros) are a bit tricky. We know that there will likely be three zeros because the exponent is a three. The zeros for this graph are 3, 4, and 8
So in Summary:
This is a Cubic graph with X-intercepts at (3,0), (4,0) and (8,0) and with Y-intercept at (0,-96)
24 + 0.44x = 19 + 1.69x
Subtract 19 from both sides
5 + 0.44x = 1.69x
Subtract 0.44x from both sides
5 = 1.25x
Divide by 1.25 on both sides
4 = x
V (cube)=9³=729 cm³
V (cone)=1/3*π*R²*H= 1/3*π*3²*9=84.8 cm³
V (metal)= 729-84.8=644.2 cm³
Answer: x = -54
Step-by-step explanation:
Simplifying
(2x) = (4x + 108)
Reorder the terms:
(2x) = (108 + 4x)
Remove parenthesis around (108 + 4x)
(2x) = 108 + 4x
Solving
(2x) = 108 + 4x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-4x' to each side of the equation.
(2x) + -4x = 108 + 4x + -4x
Combine like terms: (2x) + -4x = -2x
-2x = 108 + 4x + -4x
Combine like terms: 4x + -4x = 0
-2x = 108 + 0
-2x = 108
Divide each side by '-2'.
x = -54
Answer: No
Step-by-step explanation: Vincent started 10 miles ahead so Bill will never catch up at this rate
