Answer:
Step-by-step explanation:
y = x - 1/4
x = 1/4 Put this value in for x
y = 1/4 - 1/4
y = 0
x = 13/4
y = 13/4 - 1/4 The denominators remain the same The numerators are subtracted.
y = (13 - 1)/4
y = 12/4
y = 3
If x is to = 2 then it must be changed so it's denominator is 4
2 = 8/4
y= 8/4 - 1/4
y = 7/4 or 1.75 or 1 3/4
Answer:
T(3) = 13
Step-by-step explanation:
If we are trying to find the 3rd term of this <em>specific </em>sequence, then we simply plug in 3 as n.
T(3) = (3)² + 4
T(3) = 9 + 4
T(3) = 13
However, this isn't proper notation for an arithmetic or geometric sequence.
Answer:
16
Step-by-step explanation:
To solve, we can use an equation finding the average of the siblings'ages.
![\frac{14 + 12 + x}{3} = 14 \\ \ 14 + 12 + x = 42 \\ x = 42 - 14 - 12 \\ x = 16](https://tex.z-dn.net/?f=%20%5Cfrac%7B14%20%2B%2012%20%2B%20x%7D%7B3%7D%20%20%3D%2014%20%5C%5C%20%20%5C%2014%20%2B%2012%20%2B%20x%20%3D%2042%20%5C%5C%20x%20%3D%2042%20-%2014%20-%2012%20%5C%5C%20x%20%3D%2016)
Answer:
12 pounds
Step-by-step explanation:
We we need to write equations to represent the situation in this problem.
x=weight of package
UPS cost=6+1+0.15(x-2)
UPS cost=6+1+0.15x-0.3
UPS cost=6.7+0.15x
FedEx cost=4+2+.25(x-2)
FedEx cost=4+2+0.25x-0.5
FedEx cost=5.5+0.25x
Next, we can set the two equations equal to each other to solve for x.
6.7+0.15x=5.5+0.25x
6.7+0.15x-5.5=5.5+0.25x-5.5
1.2+0.15x-0.15x=0.25x-0.15x
1.2/0.1=0.1x/0.1
x=12
It takes 12 pounds for the UPS and FedEx packages to cost the same amount to ship.
Angle c (36 degree) is equal to angle a
Angle a=36 degree
a+b=180
b=180-36
b=144 degree
Angle b=144 degree