We have that
f(x) = (x – 5)³(x + 2)²
we know that
<span>the roots can touch or cross the x axis
</span>The way you can tell if the graph is going to cross the x-axis or just touch the x-axis is by looking at the power of the factor.
(x - 5)³ has a power of 3 which is an ODD number. An ODD power means that the graph will cross through the x-axis.
(x + 2)² has a power of 2 which is an EVEN number. An EVEN power means that the graph will touch the x-axis.
therefore
the answer is<span>
the graph of f(x) touch the x axis for the root x=-2
</span>
see the attached figure
The cost in dollars is given as 50 + 0.50x, so ...
f(x) = 0.50x +50
B) You want to find x for f(x) = 100. Substitute the given numbers and solve for x.
100 = 0.50x +50
50 = 0.50x
50/0.50 = x
100 = x
You drove 100 miles during the week if the cost was $100.
Answer:
3.75
Step-by-step explanation:
15/4 = 375/100 = 3.75
Answer:
79
Step-by-step explanation:
We need to calculate the height after 23 months.
so m= 23
Plug in m=23
we have H(m) = 56 + 23 = 79
Answer is 79cm
Based on the bar chart, the two categories that would fall under the 6 - 7 minutes required timeframe are 6 - 6.4 and 6.5 - 6.9. The bar for 6 - 6.4 says there were 25 people who ran within that timeframe, while that for 6.5 - 6.9 says there were 15 people under that. This adds up to a total of 25 + 15 = 40 people, which is choice C.