Answer: 4.5
<u>Step-by-step explanation:</u>
First, find the points of intersection by solving the system.
y = x² + 2x + 4
y = x + 6
Solve by substitution:
x² + 2x + 4 = x + 6 ⇒ x² + x - 2 = 0 ⇒ (x + 2)(x - 1) = 0 ⇒ x = -2, x = 1
Now, integrate from x = -2 to x = 1
<em>the bottom of the integral is -2 </em>
=
=
= 
= 
= 
= 
= -3 + 1.5 + 6
= 4.5
Answer:
The unit rate is about $12per fluid ounce
Answer:
12 small boxes
8 large boxes
Step-by-step explanation:
let x be the number of small boxes shipped
let y be the number of large boxes shipped
This means:
the total number of boxes is 20, so
x + y = 20
the number of 50 pound boxes is x and the number of 100 pound boxes is y and together there are 1400 pounds, so
50x + 100y = 1400
Then, solve
First, simplify the equation 50x + 100y = 1400 by dividing both sides by 50
x + 2y = 28
Now, subtract the two equations:
x + 2y = 28
- (x + y = 20)
y = 8
Now plug this into the equation x + y = 20
x + 8 = 20
x = 12
So the number of small boxes is 12 and the number of large boxes is 8.
Here's a graph:
Can you send us a picture of the question please
closed dot is if the number is part of the solution so if it is equal to
and
use open if it is not part of solution as in if it is greater than or less than
so for your picture x greater or equal to -2 it would be a closed dot