The maximum happens at x = -b/2a
x = -48/2(-16) = 3/2
Now replace x in the equation and solve for y:
y = 48(3/2) - 16(3/2)^2
y = -72 - 36
y = 36
The maximum height is 36 feet.
I'm guessing you needed this factored and apologies for the lateness, this popped up after I answered another question.
12m³ - 22m² - 70m
2m(6m² - 11m - 35)
2m(6m² + 10m - 21m - 35)
2m(2m(3m + 5) - 7(3m + 5))
Your factored answer is:
2m(2m - 7)(3m + 5)
Find the factors of 88
88/11 = 8
8/2 = 4
4/2 = 2
11 x 2 x 2 is the prime factorization of 88
hope this helps
Answer:
its A because you go 3 to the right and you go 1 down because its a negative
Answer:
For the 7th term we have 3 decimals of approximation but our value is 0.000198 higher than the error required, so we can use the 8th term and we have that 
and with this we have 4 decimals of approximation so if we add the first 8 terms we have a good approximation for the series with an error bound lower than 0.0001.
Step-by-step explanation:
Assuming the following series:
We want to approximate the value for the series with less than 0.0001 of error.
First we need to ensure that the series converges. If we have a series 
where 
[/tex] or 
where 
for all n if we satisfy the two conditions given:
1) 
2) {
} is a decreasing sequence
Then is convergent. For this case we have that:
And 
because 
and 
So then we satisfy both conditions and then the series converges. Now in order to find the approximation with the error required we can write the first terms for the series like this:
For the 7th term we have 3 decimals of approximation but our value is 0.000198 higher than the error required, so we can use the 8th term and we have that and with this we have 4 decimals of approximation so if we add the first 8 terms we have a good approximation for the series with an error bound lower than 0.0001.
