8x^3 + 1 = 0
8x^3 = -1 <----------- Step 1: Subtract 1 from both sides.
x^3 = -1/8 <----------- Step 2: Divide both sides by 8.
x = ∛(-1/8) <----------- Step 3: Cube root both sides
x = -0.5 <----------- This is the final answer when you plug the last step into the calculator
Part A: What is the solution to the pair of equations represented by p(x) and f(x)? (3 points)
(3,1)
Part B: Write any two solutions for f(x). (3 points)
(0,-5) (1, -3)
Part C: What is the solution to the equation p(x) = g(x)? Justify your answer. (4 points)
(1,3)
because they intersect at that point
Slope tells the steepness of the graph
y=mx+b
m=slope
so if m is bigger,t hen sloe is bigger
y=5x+0
slope is 5
y=1x+500
slope is 1
y=5x is steeper
The equation of the height as a function of time for this case is given by:
h (t) = - 16t ^ 2 + 10t + 100
By the time the egg hits the ground we have:
-16t ^ 2 + 10t + 100 = 0
We look for the roots of the polynomial:
t1 = -2.2069555463432966
t2 = 2.8319555463432966
As it is about time, we use the positive root:
t = 2.83 s
Answer:
it hits the ground at:
t = 2.83 s
Answer:
x = 30
Step-by-step explanation:
Given
+ 8 = 23 ( subtract 8 from both sides )
= 15
Multiply both sides by 2 to clear the fraction
x = 15 × 2 = 30
