For part A, you simply add the two functions a(x) and b(x). The resulting function is then (a+b)(x) = 5x +2.
For part B, you multiply the functions a(x) and b(x). Using the FOIL method, we obtain, 6x^2 -24x + 20x - 80. Simplifying, we get, (a*b)(x) = 6x^2 -4x - 80.
For part C, you replace x in the function a(x) with the expression from b(x). This results to: a[b(x)] = 3(2x - 8) +10. Simplifying, a[b(x)] = 6x - 14.
Answer:
Option D. is correct.
Step-by-step explanation:
Let us assume that x = seven square root three plus two square root nine
i.e. x = 7√3 + 2√9
⇒ x = 7√3 + 2 × 3 {Since 9 = 3²}
⇒ x = 7√3 + 6
Here, 7√3 is an irrational number and 6 is a rational number.
The answer is seven square root of three plus six is irrational because the sum of a rational number and an irrational number is an irrational number.
Therefore, option D. is correct.
Answer:
The third answer is correct.
Step-by-step explanation:
Answer:
P(green or orange) = 4/7
Step-by-step explanation:
We need to know how many tennis balls there are
total = 15 yellow+ 5 orange+ 15 green
= 35 balls
Probability of green or orange tennis ball is the sum of the green and orange tennis balls over the total balls
P(green or orange) = (green + orange)/total
= (15+5)/35
=20/35
=4/7
Answer:
C
5y + 3
Step-by-step explanation:
