To find the common ratio, u take ur 2nd term, and divide it by ur 1st term
(-1/6) / (5/12) =
-1/6 * 12/5 =
- 2/5 <== ur common ratio
Point slope form says the line through (a,b) with slope m is
y - b = m(x - a)
Here that's
y - 32 = -6(x - -6)
y -32 = -6(x + 6) = -6x - 36
y = -6x - 4
Check:
-6(-6) - 4 = 36 - 4 = 32, good
Answer: y = -6x - 4
Answer:
0, for q ≠ 0 and q ≠ 1
Step-by-step explanation:
Assuming q ≠ 0, you want to find the value of x such that ...
q^x = 1
This is solved using logarithms.
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x·log(q) = log(1) = 0
The zero product rule tells us this will have two solutions:
x = 0
log(q) = 0 ⇒ q = 1
If q is not 0 or 1, then its value is 1 when raised to the 0 power. If q is 1, then its value will be 1 when raised to <em>any</em> power.
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<em>Additional comment</em>
The applicable rule of logarithms is ...
log(a^b) = b·log(a)
Answer: Senior: $8, Child: 14
Step-by-step explanation:
3s + c = 38
3s + 2c = 52
c = 14
3s + 14 = 38
3s = 24
s = 8
Answer:
9:4
Step-by-step explanation:
