X - 4y = 28
2x + y = 2
solve for x
y= -2x + 2
y= x/4 - 7
solve for system of equations
(4,-6)
x= 4, y= -6
Answer:
8, 5, and 2
Step-by-step explanation:
8+5+2= 15
8 x 5 x 2 = 80
Answer:
27 years
Step-by-step explanation:
Given that :
Town A:
Initial population = 14280
Rate = increase by 160 per year
Let t = time in years
Population is thus :
14280 + 160t - - - (1)
Town B:
Initial population = 24000
Rate = decrease by 200 per year
P = 24000 - 200t - - - (2)
Equate both equations :
14280 + 160t = 24000 - 200t
160t + 200t = 24000 - 14280
360t = 9720
t = 9720 / 360
t = 27
In 27 years
Answer:
5.3
Step-by-step explanation:
a² + b² =² c² the Pythagorean theorem
RQ² + RS² = QS² Solve RS
6² + RS² = 8²
RS² = 64 -36
RS² = 28
RS = √28 28 is slightly > 25 and since √25 =5
RS = 5.3 actually 5.2915 to a few more significant digits
To factor using the reverse of the distributive property, find what common factor the numbers have and what common factor the variables have.
10.
-8x - 16
8 is a factor of both -8 and 16.
The first term has x, but the second term does not, so there is no common variable. The only common factor is 8, or -8.
Factor out a -8:
-8x - 16 = -8(x + 2)
To see if the factorization is correct, multiply the answer using the distributive property. If you get the original expression, then the factorization is correct.
11.
w^2 - 4w
The first term only has a factor of 1. The second term has a 4. There is no common factor between 1 and 4 except for 1, so there is no number you can factor out. The first term has w^2. The second term has w. Both terms have a common factor of w. We can factor out w from both terms.
w^2 - 4w = w(w - 4)
12.
4s + 10rs
4 and 10 have a common factor of 2.
s and rs have a common factor of s.
2 times s is 2s, so the common factor is 2s.
We now factor out 2s
4s + 10rs = 2s(2 + 5r)
