Look for a common number in all the terms
6(2a+3b-c)
Answer:
c) x = 11
Step-by-step explanation:
Given equation: 7x - 9 = 28 + 4(x - 1)
<u><em>Steps:</em></u>
1. Distribute 4 through the parentheses:
7x - 9 = 28 + 4(x) + 4(-1)
7x - 9 = 28 + 4x - 4 [simplify]
7x - 9 = 24 + 4x
2. Subtract 4x from both sides:
7x - 4x - 9 = 24 + 4x - 4x
3x - 9 = 24
3. Add 9 to both sides:
3x - 9 + 9 = 24 + 9
3x = 33
4. Divide both sides by 3:
3x ÷ 3 = 33 ÷ 3
x = 11
5. Check your work:
7x - 9 = 28 + 4(x - 1) [substitute 11 for x]
7(11) - 9 = 28 + 4(11 - 1) [simplify]
77 - 9 = 28 + 4(10) [simplify]
68 = 28 + 40 [add]
68 = 68 ✔
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(10,1250),(20,1400)
slope = (1400 - 1250) / (20 - 10) = 150/10 = 15
so every hr of training raises the salary by $ 15
Answer:
f(n) = 2n - 2
Step-by-step explanation:
Given the recursive formula
f(n) = f(n - 1) + 2 with f(1) = 0, then
f(2) = f(1) + 2 = 0 + 2 = 2
f(3) = f(2) + 2 = 2 + 2 = 4
f(4) = f(3) + 2 = 4 + 2 = 6
The terms of the sequence are 0, 2, 4, 6, ....
These are the first 4 terms of an arithmetic sequence with explicit formula
f(n) = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here d = 2 - 0 = 4 - 2 = 6 - 4 = 2 and a₁ = 0, thus
f(n) = 0 + 2(n - 1), that is
f(n) = 2n - 2 ← explicit formula
Answer:
-(x-8)*(x+7)
Step-by-step explanation:
Use the commutative property
-× to the power of 2 + x+ 56
-x to the power of 2 + 8x-7x+56
-xx(x-8)-7x+56
-x*(x-8)-7(x-8)
factor out -(x-8)
-(x-8)*(x+7)
hope it helps!!
