Answer:
c
Step-by-step explanation:
18x³y⁴ = 2 * 3 * 3 * x³ * y⁴
24x²y⁵ = 2 * 2 * 2 * 3 * x² * y⁵
GCF = 2 * 3 * x² * y⁴ = 6x²y⁴
18x³y⁴ + 24x²y⁵ = 6x²y⁴(3x + 4y)
Answer:
10
Step-by-step explanation:
<span>To get the Greates Common Factor (GCF) of 21 and 40 we need to factor each value first and then we choose all the copies of factors and multiply them:
<span><span>21: 3 7</span><span>40: 222 5 </span><span>GCF: </span></span>The Greates Common Factor (GCF) is: 1<span>
</span></span>
Answer:
Her initial position was:
-29ft
Where we use the minus sign because this is below the ocean's surface.
Now we also know that she keeps descending at a rate of -29ft per minute, then if she keeps descending for t minutes, her position will be:
P(x) = -29ft - 29ft/min*t
Now, we also know that she does not want to descend more than 81ft below the ocean's surface, then we have the inequality:
P(x) ≥ -81ft
-29ft - 29ft/min*t ≥ -81ft
Now let's isolate t in one side:
- 29ft/min*t ≥ -81ft + 29ft = -52 ft
- 29ft/min*t ≥-52 ft
t ≤ -52ft/(- 29ft/min) = 1.79 min
Then the maximum amount of time that she can keep descending is 1.79 minutes.
