Answer:
(1, 7)
Step-by-step explanation:
Substitute x = 1 into the equation for the corresponding value of y
y = 2x + 5 = (2 × 1) + 5 = 2 + 5 = 7
Solution is (1, 7)
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.
Answer:
The answer is : 2/3
Step-by-step explanation:
2+9x^2=6
9x^2 = 6 - 2
9x^2 = 4
x^2 = 4/9
x = √(4/9)
x = 2/3
Answer:
Step-by-step explanation:
sub in all your x values into the linear equation it gives you
once you have your table you should be able to figure out the rest if the questions !!
