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>
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= -3 + 1.5 + 6
= 4.5
3 and 2/3 hours.
Multiply the number of hours Dominic spent by the scale factor.
The answer would be 3n^2 + 2.
This can be found/proven by replacing "n" with term number (1,2,3,4...), then solving to get the final number. For example 3 * 1^2 + 2. You would first do 1^2, which is 1. Next, you would multiply 1 by 3, to get 3. Finally, you'd and the 2 to get 5. 5 is the 1st term, and you can use this same equation to get the rest of the terms you need.
I hope this helps!
The 3:2 ratio can be calculated by dividing the total by the sum of the factors (3 + 2) i.e. 80/5 = 16
<span>Then multiply the factors by the answer above (i.e. 3 x 16 and 2 x 16) </span>
<span>48:32
hope this helps you ! =')</span>
The 3rd one because when you find the absolute value of a number, it will always be positive. So the list would be 3.5, 4.2, 9
