Answer:
A) The numerator is 10.
B)The numerator is 18.
C)The numerator is 8.
D)The numerator is 16.
Step-by-step explanation:
A) 
The numerator is 10.
B) 
The numerator is 18.
C) 
The numerator is 8.
D)
The numerator is 16.
Divide the area into 6 portions and find the sum of each one to find the value of the final integral:
f(x)dx = 2(8+4)/2 + 1 (8+6)/2 + 2 (6+10)/2 + 1(10+10)/2 + 2 (10+12)/2 + 1 (12+16)/2
= 12 + 7 + 16 + 10 + 22 + 14 = 81 sq units
Answer:
x = 1 or x = -3/2
Step-by-step explanation:
Solve for x over the real numbers:
2 x^2 + x - 3 = 0
The left hand side factors into a product with two terms:
(x - 1) (2 x + 3) = 0
Split into two equations:
x - 1 = 0 or 2 x + 3 = 0
Add 1 to both sides:
x = 1 or 2 x + 3 = 0
Subtract 3 from both sides:
x = 1 or 2 x = -3
Divide both sides by 2:
Answer: x = 1 or x = -3/2
The statements can be used to describe the original functions f(x) and g(x) are; Option B
<h3>How to interpret function graphs?</h3>
Let the functions be
f(x) = ax + b
g(x) = cx + d
Their sum is;
j(x) = (a + c)x + b + d
Their product is;
k(x) = (ax + b)(cx + d)
From the graph, we see that;
f(x) = x + 6
g(x) = -2x² + 8
f'(x) = 1
g'(x) = -4x
Read more about Function Graphs at; brainly.com/question/4025726
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