Answer:
a₁ = - 24
Step-by-step explanation:
The n th term of an AP is
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Given a₇ = 2a₅ , then
a₁ + 6d = 2(a₁ + 4d) = 2a₁ + 8d ( subtract 2a₁ + 8d from both sides )
- a₁ - 2d = 0 → (1)
The sum to n terms of an AP is
= 
[ 2a₁ + (n - 1)d ]
Given 
= 84 , then
(2a₁ + 6d) = 84
3.5(2a₁ + 6d) = 84 ( divide both sides by 3.5 )
2a₁ + 6d = 24 → (2)
Thus we have 2 equations
- a₁ - 2d = 0 → (1)
2a₁ + 6d = 24 → (2)
Multiplying (1) by 3 and adding to (2) will eliminate d
- 3a₁ - 6d = 0 → (3)
Add (2) and (3) term by term to eliminate d
- a₁ = 24 ( multiply both sides by - 1 )
a₁ = - 24
y=mx+B is the formula for finding the slop intercept
Answer:
C = 5Q
Step-by-step explanation:
C = Length of Cloth in Meters (C)
Q = Number of Quilts Made (Q)
C = 5Q
Change C for the numbers under (Length of Cloth in Meters (C))
Nad change Q for the numbers under (Number of Quilts Made (Q))
So the new equations would be:
0 = 5(0) ---------> 0 = 0
5 = 5(1) ---------> 5 = 5
10 = 5(2) ---------> 10 = 10
15 = 5(3) ---------> 15 = 15
20 = 5(4) ---------> 20 = 20
25 = 5(5) ---------> 25 = 25
So the only option that amkes sense is (C = 5Q)
Answer:
g(x) = 6 * 3^x
Step-by-step explanation:
This is the answer because the question states that the graph is vertically stretched by a factor of 6. Since the parent function of an exponential function is f(x) = a * 3^(k(x-d)) + c, we plug in 6 for a, where we get g(x) = 6 * 3^x.
Answer:
what is the question
Step-by-step explanation:
