Answer:
f(g(x)) = 9x^2 + 15x - 6
Step-by-step explanation:
We are using function g(x) = 3x - 1 as the input to function f(x) = x^2 + 7x.
Starting with f(x) = x^2 + 7x, substitute g(x) for x on the left side and likewise substitute x^2 + 7x for each x on the right side. We obtain:
f(g(x)) = (3x - 1)^2 + 7(3x - 1).
If we multiply this out, we get:
f(g(x)) = 9x^2 - 6x + 1 + 21x - 7, or
f(g(x)) = 9x^2 + 15x - 6
The following list shows how many brothers and sisters some students have: 3, 4, 3, 5, 6, 2, 5, 4, 5, 4, 6, 5, 3 State the mode.
omeli [17]
I believe the mode is 5 because there are four 5’s which is the most of a certain number in this list.
T - 3 = 4v
(T - 3) / 4 = v
Answer:
a. 6Pack of paint brushes for $12.99
b. 5 classes for $64.99
c. 12 pack of paper plates
Step-by-step explanation:
a.
I could buy a 6 pack of paint brushes for $ 12.99
or
buy 6 individual brushes for the price of $ 2.19 each.
6 x $2.19 = $13.14
first option is cheaper
b.
10 classes for s total of $150
$150 ÷ 10 = $15 (price per class)
5 classes for $64.99
$64.99 ÷ 5 = $12.998 (price per class)
c.
12 pack of paper plates for $2.29
25 pack for $4.99
$2.29 ÷ 12 = $0.1908 (price of one plate)
$4.99 ÷ 25 = $0.1996 (price for one plate)
Consider the given number is
in question as well as in options.
Given:
is considered as an irrational number.
To find:
The reason for given statement.
Solution:
We have,
When evaluated,
results in a nonterminating (infinite digits after decimal) and nonrepeating decimal, which is considered an irrational number.
Therefore, the correct option is C.