Answer:
w = -10.5
Step-by-step explanation:
p = 21 +2w
get 2w by its self
p= 21 + 2x
-21 -21
p - 21 = 2w
cancel out p
p(0) - 21 = 2w
-21 = 2w
divide both sides by 2
w= -10.5
Hope this helps!!!
Answer:
(1.5,2.5)
Step-by-step explanation:
f(x) = 2x^2 - 6x + 7
Take the first derivative and set it equal to 0 (the slope is 0 at the vertex)
f'(x) = 4x -6
0 = 4x - 6
4x = 6
x = 3/2 or 1.5
If x = (3/2), then y = 2(3/2)^2 - 6(3/2) + 7
y = 2(9/4) - 18/2 + 7
y = (9/2) - 2
y = 2.5
See attached graph.
Answer:
Step-by-step explanation:
A recursive geometric formula has the pattern:
where r is the common ratio. Before we write the formula, we need to find the value for r. This r value has to be the same between each consecutive number in the series. Because it's geometric, r is multiplied in (whereas it's added in if the sequence is arithmetic). To get from 1/2 to 3/4 we find the r value in this way:
where x/2 is the same as 1/2 x. Cross multiply to get 4x = 6 and x = 3/2. That means that if r is 3/2, then we can multiply every term in that sequence by 3/2 to get to the next term in line. 3/4 times 32 is 9/8. Therefore, r = 3/2 and the formula will be:
Answer:
21600
Step-by-step explanation:
20000*1.2*.9=21600
