Answer: Choice A) x = 0
The line x = 0 lines up perfectly with the y axis. So the line of reflection is the y axis.
A. federal, they rely on the income from local properties
Answer: 1/6
Step-by-step explanation:
A die has 6 numbers which are 1, 2, 3, 4, 5 and 6.
Odd numbers in a die = 1, 3 and 6
Numbers greater than 4 = 5 and 6
Probability of rolling an odd number = 3/6 = 1/2
Probability of rolling a number greater than 4 = 2/6 = 1/3
We then multiply both values gotten. This will be:
= 1/2 × 1/3
= 1/6
Therefore, the probability of rolling an odd number the first time and a number greater than 4 the second time is 1/6.
Answer:
B
Step-by-step explanation:
Given
y² - 12y + 32
Consider the factors of the constant term (+ 32) which sum to give the coefficient of the y- term (- 12)
The factors are - 4 and - 8, since
- 4 × - 8 = 32 and - 4 - 8 = - 12, thus
y² - 12y + 32 = (y - 4)(y - 8) → B
will be increasing on the intervals where
and decreasing wherever
. Local extrema occur when
and the sign of
changes to either side of that point.
is positive when
is between -4 and some number between -2 and -1, and also 2 (exclusive) and 4, so you can estimate that
is increasing on the intervals [-4, -2] and (2, 4].
is negative when
is between some number between -2 and -1, up to some number less than 2. So
is decreasing on the interval [-1, 1].
You then have two possible cases for extrema occurring. The sign of
changes for some
between -2 and -1, and again to either side of
.
