Answer:
a₁ = 38
Step-by-step explanation:
Given AP, where:
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<h3>Solution</h3>
aₙ = a₁ + (n-1)d
- a₈ = a₁ + 7d = a₁ + 7*(-2) = a₁ - 14
- a₁₂ = a₁ + 11d = a₁ + 11*(-2) = a₁ - 22
8a₈ = 12a₁₂
- 8(a₁ - 14) = 12(a₁ - 22)
- 2(a₁ - 14) = 3(a₁ - 22)
- 2a₁ - 28 = 3a₁ - 66
- 3a₁ - 2a₁ = -28 + 66
- a₁ = 38
Answer:
x < 33.84
Step-by-step explanation:
we have
13.48x-200 < 256.12
Solve for x
Adds 200 both sides
13.48x-200 +200 < 256.12+200
13.48x < 456.12
Divide by 13.48 both sides
13.48x/13.48 < 456.12/13.48
x < 33.84
The solution is the interval ----> (-∞, 33.84)
All real numbers less than 33.84
Answer:
Not equivalent
Step-by-step explanation:
The three would also be distributed to z making the correct equivalent expression 15+3z
5.1 gallons of paint are in each container.
