16 / 12 = 1.3333
Answer: she mowed 1 1/3 lawns per hour.
Answer:
a₆ = 21875
Step-by-step explanation:
Using the recursive rule and a₁ = 7 , then
a₂ = 5a₁ = 5 × 7 = 35
a₃ - 5a₂ = 5 × 35 = 175
a₄ = 5a₃ = 5 × 175 = 875
a₅ = 5a₄ = 5 × 875 = 4375
a₆ = 5a₅ = 5 × 4375 = 21875
Answer:
Multiply the bottom one by -4
Step-by-step explanation:
to cancel in a system of equations, there must be a negative and a positive of both variables. - times - equals +, so multiply -x by -4 to get 4x, thus cancelling -4x with 4x.
Step-by-step explanation:
x² + 6x + 9 = 2
(x + 3)² = 2
x + 3 = ±sqrt(2)
x = -3 ± sqrt(2)
so, B and D are correct.
control :
(-3 + sqrt(2))² + 6(-3 + sqrt(2)) + 9 = 2
9 + 2 - 6sqrt(2) - 18 + 6sqrt(2) + 9 = 2
2 = 2
correct
(-3 - sqrt(2))² + 6(-3 - sqrt(2)) + 9 = 2
9 + 2 + 6sqrt(2) - 18 - 6sqrt(2) + 9 = 2
2 = 2
correct
(3 + sqrt(2))² + 6(3 + sqrt(2)) + 9 = 2
9 + 2 + 6sqrt(2) + 18 + 6sqrt(2) + 9 = 2
38 + 12sqrt(2) = 2
wrong.
(3 - sqrt(2))² + 6(3 - sqrt(2)) + 9 = 2
9 + 2 - 6sqrt(2) + 18 - 6sqrt(2) + 9 = 2
38 - 12sqrt(2) = 2
wrong.
So you first multiply the fractions: 2/5 times -1/5 = -2/25; then the a's: a^2 times a equals a^3; then multiply the x's: x times x^2 equals x^3.
The answer would be -2/25a^3x^3
