Answer:
x = 0.5
Step-by-step explanation:
Well, we have in this case a exponent equation

Factoring 27 = 
Our new equation is:

Applying the property of exponents, on the right we'll have just like that:

now, it's easy to solve this equation. You must solve 3x = 2 - x because the basis of these exponents are equal.
3x = 2 - x
3x + x = 2
4x = 2
x = 1/2 or 0.5
Depending on the first term, the sequences

would work.
If the sequence began at 6,

If the sequence began at 1,

If the sequence began at 3,
Answer:
Sophie
Step-by-step explanation:
For each runner, divide their time running by the laps they ran.
Piper: 8÷3≈2.7
Walker: 25÷10=2.5
Sophie: 3÷1=3
Sophie takes the longest time to run one lap, she is the slowest.
Answer:
A culture started with 5000 bacteria. after 4 hours, it grew to 6000.
=> Increasing rate = difference/time = (6000 - 5000)/4 = 250 bacteria/hour
=> The number of bacteria after 17 hours:
N = 5000 + 250 x 17 = 9250 bacteria
Hope this helps!
:)
Answer:
Step-by-step explanation:
<u>Use both points and find the slope:</u>
- m = (1 - 4) / (8 - 4) = - 3/4
<u>Find the line, using point-slope form and point (4, 4):</u>
- y - 4 = - 3/4(x - 4)
- y - 4 = - 3/4x + 3
- y = - 3/4x + 7