Answer:
(1/2, 6).
Step-by-step explanation:
Turning points in a graph may exist whenever the derivative equals 0. Hence, let’s differentiate and then solve our function.
We have:
Take the derivative of both sides with respect to x:
Simplify:
We will now set this equal to 0 and solve for x. Hence:
Hence, the graph turns at x=1/2. This is the x-coordinate.
Then it follows that the y-coordinate will be:
Hence, our coordinate Is (1/2, 6).
Answer:
Step-by-step explanation:
Out of 30 numbers, half is multiple of 2 and the third is multiple of 3.
We have 15 even numbers and 10 multiples of 3. Out of 10, half is even numbers and therefore counted twice.
<u>So we subtract 5 to get:</u>
<u>If we chose one ticket at random the probability is:</u>
- P(2x or 3x) = 20/30 = 2/3 or 66.66%
Answer:
-35°F
Step-by-step explanation:
-40 - -5 equals -35°F
F(x) = -5/6x - 3
You can get this by identifying the y-intercept and then using the formula for slope given any two points on the graph.
Answer: y > 4.5 or y < -4.5
You use the rule
if |y| > k, then y > k or y < -k
where k is some positive number. In this case, k = 4.5
