Answer:
Step-by-step explanation:
Replace h(x) first
Now we plug in 3x in f(x)
Now we plug in 15x-4 in g(x)
A bacteria culture started with 200 bacteria at 2 p.m. After 1 hour, the population
1 answer:
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Answer:
1) x ≤ 2 or x ≥ 5
2) -6 < x < 2
Step-by-step explanation:
1) We have x^2 - 7x + 10, so let's factor this as if this were a regular equation:
x^2 - 7x + 10 = (x - 2)(x - 5)
So, we now have (x - 2)(x - 5) ≥ 0
Let's imagine this as a graph (see attachment). Notice that the only place that is above the number line is considered greater than 0, and that's when x ≤ 2 or x ≥ 5 (the shaded region).
2) Again, we have x^2 + 4x - 12, so factor this as if this were a regular equation:
x^2 + 4x - 12 = (x + 6)(x - 2)
So now we have (x + 6)(x - 2) < 0
Now imagine this as a graph again (see second attachment). Notice that the only place that is below 0 (< 0) is when -6 < x < 2 (the shaded region).
Hope this helps!
Answer:
21.09 ft/s
Step-by-step explanation:
The first step is to create the ratio of speed/time.
Next we must simplify
Next we must convert 14 miles in to feet. There are 5280 feet in a mile.
14 * 5280ft = <u>75,920 feet</u>
Now for hours into seconds.
1 hour = 60 min, 60 min = 3600 seconds
Our new ratio is \frac{75920ft}{3600sec}
simplify.
75920ft / 3600sec = 21.09ft/s