<span>Simplifying:
2x2 + -8x + -90 = 0
Reorder the terms:
-90 + -8x + 2x2 = 0
Solving
-90 + -8x + 2x2 = 0
Solving for variable 'x'.
Factor out the Greatest Common Factor (GCF), '2'.
2(-45 + -4x + x2) = 0
Factor a trinomial.
2((-5 + -1x)(9 + -1x)) = 0
Ignore the factor 2.
Subproblem 1:
Set the factor '(-5 + -1x)' equal to zero and attempt to solve:
Simplifying
-5 + -1x = 0
Solving
-5 + -1x = 0
Move all terms containing x to the left, all other terms to the right.
Add '5' to each side of the equation.
-5 + 5 + -1x = 0 + 5
Combine like terms:
-5 + 5 = 0
0 + -1x = 0 + 5
-1x = 0 + 5
Combine like terms:
0 + 5 = 5
-1x = 5
Divide each side by '-1'.
x = -5
Simplifying
x = -5
Subproblem 2:
Set the factor '(9 + -1x)' equal to zero and attempt to solve:
Simplifying
9 + -1x = 0
Solving
9 + -1x = 0
Move all terms containing x to the left, all other terms to the right.
Add '-9' to each side of the equation.
9 + -9 + -1x = 0 + -9
Combine like terms:
9 + -9 = 0
0 + -1x = 0 + -9
-1x = 0 + -9
Combine like terms:
0 + -9 = -9
-1x = -9
Divide each side by '-1'.
x = 9
Simplifying
x = 9
Solution
x = {-5, 9}</span>
Answer: Average discharge at the mouth of the Amazon River in 1 hour =
cubic feet
Average discharge at the mouth of the Amazon River in 1 year=
cubic feet[/tex]
Step-by-step explanation:
Given : The average discharge at the mouth of the Amazon River =4,900,000 cubic feet per second.
i.e. The average discharge at the mouth of the Amazon River in 1 second= 4,900,000 cubic feet
Since 1 hour = 3600 seconds
Then , the average discharge at the mouth of the Amazon River in 1 hour =
cubic feet
Since , there are 2080 hours in a typical year.
Then, the average discharge at the mouth of the Amazon River in 1 year=
cubic feet
Answer --> 75 : 150 : 25
3/10 x 250 = 75
6/10 x 250 = 150
1/10 x 250 = 25
The answer is 216
Hope this helps
Answer:
see below
Step-by-step explanation:
h(x) = 2x-10
Let x=3
h(3) = 2*3 -10
= 6-10
=4
Let x=-3
h(-3) = 2*-3 -10
= -6-10
=-16