Answer:
43
Step-by-step explanation:
Estimate the area under the curve f(x) = 16 - x^2 from x = 0 to x = 3 by using three inscribed (under the curve) rectangles
First we find out the width of the rectangle
Δx=b−a/n, a= 0 and b= 3, n= 3
so Δx= 1
Divide the interval [0,3] into 3 sub intervals of width=1
[0,1] [1,2] [2,3]
Now we plug in end point and evaluate the function
We take left endpoints
f(0) = 16 - 0^2=16
f(1) = 16 - 1^2= 15
f(2) = 16 - 2^2= 12
Now sum = Δx(f(0) + f(1)+f(2))
= 1 (16+15+12)= 43
Answer:
≥ 420 boards
Step-by-step explanation:
Write the required relation between cost per board and "x" (the number of boards that must be sold).
143 + 30240/x ≤ 215 . . . . . . . note that the first term is <em>not</em> 143x
Subtract 143
30240/x ≤ 72
Multiply by x/72. This is a positive number because x is a positive number.
30240/72 ≤ x
420 ≤ x
At least 420 surfboards must be sold to limit the final cost per board to $215.
Answer:
$840
Step-by-step explanation:
First, add 30 to 10.
Then, multiply your answer (40) by 21.
Finally, you get your final answer of $840.
Answer:
Let f be a function. If any horizontal line intersects the graph of f more than once, then f does not have an inverse. An absolute value function (without domain restriction) has an inverse that is NOT a function. That's why an absolute value function does not have an inverse function。
Answer:
3. 102
4. c
Step-by-step explanation:
For number 3:
(c^2 - a) + b becomes (10^2 - 3) + 5
10^2 = 100
100 - 3 + 5 = 102
For number 4:
Usually when you see distributive property, you're multiplying into parentheses. This time you're factoring out.
20c - 8d
It's not a, because that would be 20c + 8d
It's not b, because that would be 20c -32d
It is c, because 4 x 5c = 20 c and 4 x -2d = -8d
It's not d, because that would be 20c- 8cd
