Answer: 8
Step-by-step explanation:
Given: Pedro cut a sheet of poster board into 10 equal parts.
let x be the total sheet.
then, one part of sheet= 
of the sheet
Now, His brother used some of the poster board and now 8/10 is left.
Therefore, if Pedro wants to make a sign from each remaining part of the poster board.
then, The number of signs he can make= 
Hence, Pedro can make 8 signs.
Answer:
9. a) 180 - (55+90) = a
b) a=35 degrees
10. a) 2w + 3w + 40 = 180
b) w=28
c) 2w=56 3w=84
Step-by-step explanation:
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: Sammy
Step-by-step explanation: If Tom finished the 100 meter race in 12.54 seconds that means he would have been going at an average of 7.97 seconds and if Sammy is finishing a 100 meter race in 25.98 seconds he would have been going at an average of 3.84. Therefore Sammy is going at a faster average.
Hope this helps!
