x+142 =3x+64
subtract x from each side
142 = 2x+64
subtract 64 from each side
142-64 = 2x
78=2x
divide by 2
78/2 = x
x=39
The number is 39
B. (k+10f)(k-5f) you can tell in 2 ways. 1. if the second sign is neg then the signs in the factors are going to be one neg and one positive so that knocks out C and D. Then you look at the second term and since the 5 is positive then the 10 has to be positive so you end up with a positive 5kf.
The second way is to FOIL them out. When you check B you get

combine your like terms and you have your original expression of

Hope that helps
Answer:
The amount needed to pay off the loan after 4 years is $70,192
Step-by-step explanation:
When interest is compounded annually, total amount A after t years is given by:

where P is the initial amount (principal), r is the rate and t is time in years.
From the question:
P = $60,000
r = 4% = 0.04
t = 4

The amount needed to pay off the loan after 4 years is $70,192
If we divide the amount by four, we will get the amount that is paid yearly (70192/4 = 17548). $17,548 is paid yearly.
Answer:
So m= - 11
Step-by-step explanation:
* THe vertex is (-2,6), then the equation is y = a(x+2)^2 +6, a is to find out.
* A root is 7 means x=7 and y=0, then :
0 = a(7+2)^2 +6
0=81a+6 or a= -6/81 = -2/27.
* We have the equation: y= -2/27 (x+2)^2 +6=-2/27 [ (x+2)^2-81]
y= -2/27 (x-7)( x+11).
So m= - 11
Hope that you understand.