So what we're doing is subtracting g(x) from f(x). If f(x) = -8x^2 - 5x, and g(x) = 17x^2 + 11x, we're just subtracting two binomials.
(- 8x^2 - 5x) - (17x^2 + 11x) Is our problem. If you don't know how to subtract polynomials, I'll show you step by step.
First you want to distribute the implied ones to get rid of the parenthesis. This means that you multiply the first set of numbers by 1, and the second by -1. The first set will stay the same, but when you multiply the second set by -1, both terms will become negative.
(- 8x^2 - 5x) - (17x^2 + 11x)
1(- 8x^2 - 5x) - 1(17x^2 + 11x)
-8x^2 - 5x - 17x^2 - 11x.
Now, we want to add/subtract like terms. Like terms are terms with the same variable and exponent. All we do is add/subtract the coefficient. The variable and exponent will stay the same. If a term does not a show a coefficient, then the coefficient is 1.
-8x^2 and -17x^2 are like terms. Subtract the coefficients.
-8 - 17 = -25
-8x^2 - 17x^2 = -25x^2
-5x - 11x
-5 - 11 = -6
-5x - 11x = -6x
So our final result is -25x^2 - 6x.
Hope this helps!!
Let me know if you need help understanding anything and I'll try to explain as best I can.
The area of the ellipse is given by
To use Green's theorem, which says
( denotes the boundary of ), we want to find and such that
and then we would simply compute the line integral. As the hint suggests, we can pick
The line integral is then
We parameterize the boundary by
with . Then the integral is
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Notice that kind of resembles the equation for a circle with radius 4, . We can change coordinates to what you might call "pseudo-polar":
which gives
as needed. Then with , we compute the area via Green's theorem using the same setup as before:
Answer:
a
Step-by-step explanation:
yes because when ur using a statement 4becausr u can easily pull it in
Answer:
Let the additional weight that can be added be = x
Current weight of the bag = 38 pounds
Total weight can be = 50 pounds
The equation becomes:
38+x < or equal 50
x < or equal 50-38=12
Hence, a weight of 12 pounds cab be added to the current wight.
Answer:
No
Step-by-step explanation:
The 4.5 cups of peanuts should be 4