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.
The answer is between negative infinity and positive infinity.
Since you're looking for y, I would rewrite as y= first then plug in the x values and solve.
Y = -2x + 3
y = -2(-1)+3
y=5. (-1,5)
Y=-2(0)+3
y=3
(0,3)
y=-2(1)+3
y=-2+3
y=1
(1,1)
Answer:
Percentage of hits in English,French,Spanish and Japanese are 0.59%,0.16%,0.13% and 0.11% respectively.
Step-by-step explanation:
We have to find the percentage of hits for each version of the website.
The hits for the versions are
<u>Total number of hits = 8190 hits.</u>
Percentage of hits = 
Percentage of English = 
= 0.59 %
Percentage of French = 
= 0.16 %
Percentage of Spanish = 
= 0.13 %
Percentage of Japanese = 
= 0.11 %
These are the required percentages.
Answer:

Step-by-step explanation:
Let c represents child bikes and a represents adult bikes.
Given : Each child bike requires 4 hours to build and 4 hours to test. Each adult bike requires 6 hours to build and 4 hours to test.
With the number of workers, the company is able to have up to 120 hours of building time and 100 hours of testing time for a week.
Then, the required system of inequality :-

If company make 10 child bikes and 12 adult bikes in the week.
Then Put c=10 and a=12 bikes in (1) and (2).
⇒Bike order meets the restrictions
⇒Bike order meets the restrictions
Hence, the system of inequality best explains whether the company can build 10 child bikes and 12 adult bikes in the week.
