Answer:
Step-by-step explanation:
a). Equation of the function drawn is,
y = x² - x - 2
Table for the input-output values,
x -3 -2 -1 0 1 2 3
y 10 4 0 -2 -2 0 4
From the table,
x-intercepts → (-1, 0) and (2, 0)
y- intercepts → (0, -2)
b). Out of 3 graphs blue graph represents the table.
(Graph passing through x = -1, 2)
c). x² - x - 2 = 3
x² - x - 5 = 0
By quadratic formula,
x =
x =
x =
x = -1.79, 2.79
x ≈ -1.8, 2.8
Nile and Bob both were traveling were 2 hours
<em><u>Solution:</u></em>
<em><u>The formula for time is given by:</u></em>
Given that,
<em><u>Niles’ sailboat traveled 16 miles at a speed of 8 mph</u></em>
Distance = 16 miles
Speed = 8 mph
Therefore, time taken is given as:
Thus, Nile takes 2 hours to travel
<em><u>Bob’s motorboat traveled 26 miles at a speed of 13 mph</u></em>
Distance = 26 miles
Speed = 13 mph
Therefore, time taken is given as:
Thus, Bob takes 2 hours to travel
Answer:
A. x + 9
Step-by-step explanation:
x² + 5x - 36 = (x + 9) (x - 4)
<span>Simplifying
3x + -8 = 31
Reorder the terms:
-8 + 3x = 31
Solving
-8 + 3x = 31
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '8' to each side of the equation.
-8 + 8 + 3x = 31 + 8
Combine like terms: -8 + 8 = 0
0 + 3x = 31 + 8
3x = 31 + 8
Combine like terms: 31 + 8 = 39
3x = 39
Divide each side by '3'.
x = 13
Simplifying
x = 13</span>
Answer:
12150 ft^3
Step-by-step explanation:
= (45)(20)(10) + (350)(9)
= 9000 + 3150
= 12150 ft^3