Step-by-step explanation:
It asks you to choose values for w, the width, and evaluate the equation for each. It describes the constraint "the perimeter of 20 units" The perimeter of a rectangle is the length of all the lines of a regtangle.
Or
2L + 2W = 20 reduce this to simplest for by dividing both sides by 2;
L + W = 10, so the length plus the width is 10. Rearrange it to be W = 10 - L. Values of W can range from 1 to 9. Now sove for a few points in the function.
f(W) = 10W - W^2
3; 10(3) - 3^2 = 30 - 9 = 21.
If we look at the constraint, L = 10 - W, when the width is 3 the length must be 7. The area of a rectangle is L x W, 3 x 7 = 21. That checks against the function.
Solve for additional points.
4; 10(4) - 4^2 = 40 - 16 = 24.
If W is 4 the L is 6 and 4 x 6 = 24
Answer:
4x² + 41x - 33
Step-by-step explanation:
- F in foil stands for 'first'; take the first value in each bracket and multiply them together. So 4x × x = 4x²
- O in foil stands for 'outside'; take the outermost values from each bracket and multiply them together. So 4x × 11 = 44x
- I in foil stands for 'inside'; take the innermost values for each bracket and multiply them together. So -3 × x = -3x
- Finally, L in foil stands for 'last'; take the last value in each bracket and multiply them together. So -3 × 11 = -33
- Now, we can put this all together and simplify: 4x² + 44x - 3x - 33 → 4x² + 41x - 33.
Hope this helps!
We have been given a graph of function g(x) which is a transformation of the function 
Now we have to find the equation of g(x)
Usually transformation involves shifting or stretching so we can use the graph to identify the transformation.
First you should check the graph of
You will notice that it is always above x-axis (equation is x=0). Because x-axis acts as horizontal asymptote.
Now the given graph has asymptote at x=-2
which is just 2 unit down from the original asymptote x=0
so that means we need shift f(x), 2 unit down hence we get:
but that will disturb the y-intercept (0,1)
if we multiply 
by 3 again then the y-intercept will remain (0,1)
Hence final equation for g(x) will be:
Answer:
6 hours and 45 minutes
Step-by-step explanation:
162÷24=6.75
6.75=6 hours and 45 min
