Simon ran slower than 1 mile every 5 minutes.
Because 33 / 5.5 = 6. So he ran 1 mile every 6 minutes, not 5.
Answer:
Step-by-step explanation:
4=y/8+1
rewrite equation
y/8 + 1 = 4
move all terms not containing y to the right of the equation
y/8 = 3
multiply both sides of the equation by 8
8 x y/8 = 8 x 3
simplify both sides of the equation.
y = 24
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.
I'm pretty sure its c
You just multiply 13 and 52
Answer:
Step-by-step explanation:
The first choice is correct
The rate is 20 per dog, thus we get the equation:
c= 20d
However the first dog is free, so the equation becomes
c = 20(d - 1)
And he also has a walking fee of 85 dollars and thus the equation becomes
c= 85 + 20(d-1)
