Answer:
3t
Step-by-step explanation:
7t-3t+4t-5t
Combine like terms
7t -3t = 4t and substitute back into the expression
4t +4t -5t
4t+4t = 8t and substitute back into the expression
8t - 5t
3t
Answer:
-1 moves the graph down one.
-2 flips the function over the x-axis and causes a vertical stretch by a factor of 2.
Answer:
The solution set consists of all the real numbers smaller than or equal to 11/4:
Step-by-step explanation:
We need to solve for x (that means isolate x on one side of the inequality symbol) in the following inequality:
So it tells us that g(3) = -5 and g'(x) = x^2 + 7.
So g(3) = -5 is the point (3, -5)
Using linear approximation
g(2.99) is the point (2.99, g(3) + g'(3)*(2.99-3))
now we just need to simplify that
(2.99, -5 + (16)*(-.01)) which is (2.99, -5 + -.16) which is (2.99, -5.16)
So g(2.99) = -5.16
Doing the same thing for the other g(3.01)
(3.01, g(3) + g'(3)*(3.01-3))
(3.01, -5 + 16*.01) which is (3.01, -4.84)
So g(3.01) = -4.84
So we have our linear approximation for the two.
If you wanted to, you could check your answer by finding g(x). Since you know g'(x), take the antiderivative and we will get
g(x) = 1/3x^3 + 7x + C
Since we know g(3) = -5, we can use that to solve for C
1/3(3)^3 + 7(3) + C = -5 and we find that C = -35
so that means g(x) = (x^3)/3 + 7x - 35
So just to check our linear approximations use that to find g(2.99) and g(3.01)
g(2.99) = -5.1597
g(3.01) = -4.8397
So as you can see, using the linear approximation we got our answers as
g(2.99) = -5.16
g(3.01) = -4.84
which are both really close to the actual answer. Not a bad method if you ever need to use it.
Answer:
weight not defined
Step-by-step explanation:
The cost of 20⅕ oranges is rs 300 ,what is the cost of a kg oranges?
HOW ARE WE SUPPOSE TO KNOW THE WEIGHT IF ONLY THE PRICE IS GIVEN
