Answer:
x=5.657 y=5.657
Step-by-step explanation:
Answer:
Hi , the answer is 280-140/ 4-2 = 140/2
y = 2/140 x
b . 70 beats each minute
Step-by-step explanation:
we will take a 2 point from the graph
(280,4) , (y1,x1) and (140, 2) , (y2,x2) each point represent a (y,x) point
m = y1-y2 / x1-x2 = 280-140 / 4-2 = 140 /2
now , y/x = 140/2 ... by B. Multiplication we will get y = 2/140 x
b .
from the graph we see that every minute the curve increase 70 beats
Thanks
Answer:
31 vacuums
Step-by-step explanation:
1800 = 250 + 50v
1800 - 250 = 50v
50v = 1550
v = 1550 / 50
v = 31
He sold 31 vacuums.
Answer:
-x
Step-by-step explanation:
8x - 9x
Factor out an x
x(8-9)
x (-1)
-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.
