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
I’m pretty sure the answer would be A
Answer:
When a student tells her a number, she uses a rule to determ
Step-by-step explanation:
Get the answers ... When a student tells her a number, she uses a rule to determine the new number. Ms. Augustine always uses the same rule. The table below shows some of the results. What would the number be when the student says 8? A. 58. B. 56. C. 54
<span>The correct answer is 50,000.
Explanation<span>:
We can set up the equation 5000=1/10x to represent this situation.
To solve, we will divide both sides by 1/10:
5000</span></span>÷<span><span>(1/10) = (1/10x)</span></span>÷<span><span>(1/10)
5000</span></span>÷<span><span>(1/10) = x.
To divide fractions, flip the second one and multiply; this gives us
5000*(10/1) = x
50000 = x.</span></span>