D is the answer to this question
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.
87 ⇒ 90
34 ⇒ 30
---- -----
121 120
Answer:
m ∈ R
Step-by-step explanation:
- 1,84 - 2,3m = - 2,3(m + 0,8)
- 1,84 - 2,3m = - 2,3m - 1,84
m ∈ R
Answers:
Answer for row one: 1
Answer for row two: 11
Answer for row three: 16
Answer for row four: 36
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Work Shown:
Whatever the x value is, we multiply by 5 and subtract off 14 to get the corresponding y value. This is following the order of operations PEMDAS
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If x = 3, then
y = 5*x - 14
y = 5*3 - 14 ..... note how x is replaced with 3
y = 15 - 14
y = 1
This means that when x = 3, the y value is y = 1.
So 1 goes in the box in the first row.
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Repeat for x = 5
y = 5*x - 14
y = 5*5 - 14
y = 25 - 14
y = 11
We have 11 as the second answer.
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Repeat for x = 6
y = 5*x - 14
y = 5*6 - 14
y = 30 - 14
y = 16
The third answer is 16.
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Repeat for x = 10
y = 5*x - 14
y = 5*10 - 14
y = 50 - 14
y = 36
The last answer is 36.
