Answer:
A
Step-by-step explanation:
The plus 7 at the end will shift the graph 7 units up. Replace y with f(x).
Then we have g(x) = f(x) + 7. Adding 7 to y = f(x) will increase the y value by 7.
I don’t understand either i had the exact problem
Answer:
- 4
Step-by-step explanation:
= - 9 - (- 5)
= - 9 + 5
<em><u>= -</u></em><em><u> </u></em><em><u>4</u></em>
<em><u>hope </u></em><em><u>it's </u></em><em><u>helpful </u></em>
Turn the fractions into decimals.
27/7 =3.85
31/8 =3.87
The in between number is 3.86
Steps:
1. calculate the values of y at x=0,1,2. using y=5-x^2
2. calculate the areas of trapezoids (Bottom+Top)/2*height
3. add the areas.
1.
x=0, y=5-0^2=5
x=1, y=5-1^2=4
x=2, y=5-2^2=1
2.
Area of trapezoid 1 = (5+4)/2*1=4.5
Area of trapezoid 2 = (4+1)/2*1=2.5
Total area of both trapezoids = (4.5+2.5) = 7
Exact area by integration:
integral of (5-x^2)dx from 0 to 2
=[5x-x^3/3] from 0 to 2
=[5(2-0)-(2^3-0^3)/3]
=10-8/3
=22/3
=7 1/3, slight greater than the estimation by trapezoids.
