Simplify the following:
((8 x^3 y^2 a^2 b^4)/4)^(-2)
8/4 = (4×2)/4 = 2:
(2 x^3 y^2 a^2 b^4)^(-2)
Multiply each exponent in 2 x^3 y^2 a^2 b^4 by -2:
(x^(-2×3) y^(-2×2) a^(-2×2) b^(-2×4))/(2^2)
-2×3 = -6:
(x^(-6) y^(-2×2) a^(-2×2) b^(-2×4))/2^2
-2×2 = -4:
(y^(-4) a^(-2×2) b^(-2×4))/(2^2 x^6)
-2×2 = -4:
(a^(-4) b^(-2×4))/(2^2 x^6 y^4)
-2×4 = -8:
b^(-8)/(2^2 x^6 y^4 a^4)
2^2 = 4:
Answer: 1/(4 x^6 y^4 a^4 b^8) thus the answer is A
(5,24)
- The two areas are the same.
- To find the area, we multiply the side lengths. Y=area
Rectangle 1: side lengths 4 and (x+1)
y=4(x+1)= 4x+4
Rectangle 2: side lengths 3 and (2x-2)
y=3(2x-2)= 6x-6
- Since the two areas are same, we can conclude that
4x+4=6x-6
-2x=-10, x=5
- Since x is 5, we can plug it into the equations to find y.
Option 1 with rectangle 1: y=4(5)+4, y=24
Option 2 with rectangle 2: y=6(5)-5, y=24
I graphed the linear equation on desmos.
It would be 10 bc ten is the next number i guess
Answer: x=3 units. Perimeter:22 units
Step-by-step explanation:
P=perimeter
3x-1=2x+2
x-1=2
x=3 units
P=3x-1+2x+2+2x
P=3(3)-1+2(3)+2+2(3)
P=9-1+6+2+6
P=8+8+6
P=22 units
I say that answer would be C:
2 years of lost wages
(45K+45K) = 90K
TOTAL cost of school = 30K
sum of investment
(90K+30K) = 120K
5 years to recover investment
(120K/5yrs) = 24K per year
Salary plus amount required to recover investment
<span>(24K+45K) = 69K
I hope my answer has come to your help. God bless and have a nice day ahead!</span>
