Answer:
t = 139/490 + sqrt(75671)/490 or t = 139/490 - sqrt(75671)/490
Step-by-step explanation:
Solve for t:
4.9 t^2 - 2.78 t - 1.15 = 0
4.9 t^2 - 2.78 t - 1.15 = (49 t^2)/10 - (139 t)/50 - 23/20:
(49 t^2)/10 - (139 t)/50 - 23/20 = 0
Multiply both sides by 10/49:
t^2 - (139 t)/245 - 23/98 = 0
Add 23/98 to both sides:
t^2 - (139 t)/245 = 23/98
Add 19321/240100 to both sides:
t^2 - (139 t)/245 + 19321/240100 = 75671/240100
Write the left hand side as a square:
(t - 139/490)^2 = 75671/240100
Take the square root of both sides:
t - 139/490 = sqrt(75671)/490 or t - 139/490 = -sqrt(75671)/490
Add 139/490 to both sides:
t = 139/490 + sqrt(75671)/490 or t - 139/490 = -sqrt(75671)/490
Add 139/490 to both sides:
Answer: t = 139/490 + sqrt(75671)/490 or t = 139/490 - sqrt(75671)/490
I got:
-2(2f-3g)
explanation:
used communicative property
Answer:
x = 1.5
Step-by-step explanation:
Since the axis of symmetry is between the 2 x intercepts, we can find it by finding the average of the x-coordinates of the 2 points.
(-7 + 10) / 2
3/2
= 1.5
So, the axis of symmetry is at x = 1.5
Answer:
2^{3} +1⋅4−3 = 9
2^{0}+10−4⋅2 = 3
3+5^{2} -6⋅4 = 4
Step-by-step explanation:
Answer:
In 2015 the both populations were the same and from that year the population of millennials surpassed the population of boomers
Step-by-step explanation:

x=14
Boomer: 10(14)+13y=1125
140+13y=1125
13y=1125-140
y= 985/13
y= 75.77 (75.77 millions of boomers in 2014)
Millenials: -2(14) +7y = 495
-28 +7y = 495
7y= 495+28
y= 523/7
y=74.71 (74.71 millios on millenials in 2014)
In 2014 the population of boombers were still greater than the population of millennials
The solution of the system of equations will give us the point where the populations were equalized, and from that point the population of boombers will be less than that of the millennials.
Boomers: 10x+13y = 1125
y= (-10x +1125)/13
Millenials: -2x+7y = 495
y= (2x+495)/7
We match both expressions of "y"
(-10x +1125)/13 =(2x+495)/7
cross multiply:
(-10x +1125)*7 =(2x+495)*13
-70x + 7875 = 26x + 6435
we group similar terms:
7875 -6435 = 26x+70x
1440 = 96x
x= 1440/96
x= 15
In 2015 the both populations were the same and from that year the population of millennials surpassed the population of boomers