Answer:
option 3.
(ƒ • g)(x) = x3 – 3x2 + 2x – 6
Step-by-step explanation:
ƒ(x) = x2 + 2
g(x) = x – 3
if we look at the functions they are multiplying, so we have to multiply the equivalents to the functions among themselves
(ƒ • g)(x) = (x2 + 2) • ( x - 3)
(ƒ • g)(x) = (x2 * x) + (x2 * -3) + ( 2 * x) + (2 * -3)
(ƒ • g)(x) = (x3) + (-3x2) + (2x) + (-6)
(ƒ • g)(x) = x3 - 3x2 + 2x - 6
Answer:
The correct factorization of this trinomial should be (x - 6)(x + 2)
Step-by-step explanation:
We know this because when we factor trinomials with a 1 as the lead coefficient, the end terms in the parenthesis will always multiply to the constant (-12) and add to the middle term (-4). If we make a list of the factors of -12, we can choose the one that adds up to -4.
1 * -12
-1 * 12
2 * -6
-2 * 6
3 * -4
-3 * 4
So we put these two in a parenthesis with the x terms like this
(x - 6)(x + 2)
Answer: c. 50
Step-by-step explanation:
1. By definition, when you add the exterior angles of a regular polygon, you obtain 360 degrees and the number of sides of that polygon can be calculated by dividing 360 degrees by the measure of the exterior angle of it.
2. As you know, the number of sides cannot be fractions, therefore, if you make the folllowing division:
360°/50°=36/5
You obtain a fraction.
3. Then, an exterior angle of a regular polygon cannot have the measure is 50°.
Answer:
- The means for both data sets are equal.
- The range of the number of pages Lionel read is greater than the range of the number of pages Aaron read.
- The range of the number of pages that Lionel read is 75.
Step-by-step explanation:
Given
Lionel
90, 45, 30, 25, 15
Aaron
55, 19, 40, 16, 75
in the first case; For Lionel;
Mean = (90+45+30+25+15
)/5 = 41 and
Range = (90-15)=75
The second case; Aaron
Mean = (55+19+40+16+75)/5 = 41 and
Range = (75-16)= 59
Therefore;
Both data sets have the same mean but different range.
The range of the number of pages Lionel is 75, which is greater than the range of the number of pages Aaron read, which is 59.