Answer:
60 minutes
Step-by-step explanation:
The distance formula is:
D = RT
Where
D is distance (in miles)
R is rate (in miles per hour)
T is time (in minutes)
Given,
D = 14 miles
R = 14 miles per hour
We want to find T, so we have:
So the time is 1 hour
We want in minutes, and we know 60 minutes is 1 hour, so the time (in minutes) is 60 minutes
Answer:
y = 107 x = 73 and z = 73 degrees
Step-by-step explanation:
All of the angles have to equal 360 when added together and y has to correspond to 107 then those add to 214 then you subtract that from 360 to get 146 then you split that in half to get the x and z
Answer:
$0.39 per bag
Step-by-step explanation:
$14.04 ÷36 = $0.39 per bag
Answer:
10
Step-by-step explanation:
-2*2-3x+5=f(x)
-2*2-3(-3)+5=f(x)
-4+9+5=f(x)
5+5=f(x)
10=f(x)
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.
