To divide exponents they have to have the same base and then you just subtract the bottom exponent from the top exponent.
7) k × 3^9
----------- =
3^5
k × 3^9-5 =
k × 3^4 =
k × 81 = 81k
8) x^4 × y^10 × 2^11
------------------------ =
y^8 × 2^7
x^4 × y^10-8 × 2^11-7 =
x^4 × y^2 × 2^4 =
x^4 × y^2 × 16=
16x^4y^2
Answer:
x = 6
y = 7
a = 1/4
Step-by-step explanation:
Equation 1:
2(3x+2) = 2x + 28
6x + 4 = 2x + 28
4x = 24
x = 6
Equation 2:
5y+13 = -43-3y
8y = -56
y = -7
Equation 3:
8a + 8 = 16 - 24a
32a = 8
a = 1/4
You need to find 8.45% of each phone:
A) 0.0845·20=1.69
B) 0.0845·25=2.11
C) 0.0845·10=.85
D) 0.0845·18=1.52
Phone B is 2.11 so your answer is B :)
Answer:
the larger room needs 132 sq. ft more of carpet
Step-by-step explanation:
14*18 = 252 sq. ft
10*12 = 120 sq. ft
252 - 120 = 132 sq. ft
Answer:
(2x - 7)³ ≠ (2x)³- 7³
Step-by-step explanation:
(2x - 7)³= (2x)³- 7³
Use pascal's triangle to expand left side. Simplify all else.
(2x)³ + 3(2x)²(-7)¹ + 3(2x)¹(-7)² + (-7)³ = 8x³- 343
8x³ + 3(4x²)(-7) + 3(2x)(49) + (-7)³ = 8x³- 343
8x³ - 84x² + 294x - 343 = 8x³- 343
LS ≠ RS