Answer:
D
Step-by-step explanation:
1. Use property of exponents:
Hence
2. Use multiplication property of exponents:
Thus,
3. Since
we have that
Answer:
Step-by-step explanation:
geometric progression formula:
given:
common ratio, r = 1/2
1) find the value of a
we're finding the 1st term, so substitute 1 into n:
first term is 5. so we substitute 5 into the equation:
2) find the 10th term
we're finding the 10th term, so substitute 10 into the equation and don't forget to substitute 5 into a:
Answer:
The answer to your question is z = -3
Step-by-step explanation:
Expand 42 = -7(z - 3)
42 = -7z + 21
Simplify 7z = -42 + 21
7z = -21
Clear z z =
z = -3
Answer:
x = 3
Step-by-step explanation:
Step 1: Distribute
42 + 3x = 57
Step 2: Subtract 42 on both sides
3x = 15
Step 3: Divide both sides by 3
x = 3
And we have your answer!
Solving for y, <span>y=±<span><span>14−2<span>x2</span></span><span>−−−−−−−</span>√</span></span><span>
for y to be a positive integer, (14-2x^2) must be a perfect square.
Any positive integer values chosen for x will not yield a perfect square</span>