In f(x) = 3x + 2, the x is being represented in the function. So, if we replace the x with the g(x) functions, we get:
f(g(x)) = 3(2x - 4) + 2
f(g(x)) = 6x - 12 + 2
f(g(x)) = 6x - 10
The employees that drive to work is 380
The total number of employees that drive to work is 660
<h3>How many employees drive to work?</h3>
A fraction is a non integer that is made up of a numerator and a denominator. A fraction is used to express the ratio or the relationship between two or more quantities. An example of a fraction is 1/2.
The number of employees that drive to work can be determined by multiplying the fraction of the employees that drive to work by the total number of employees.
Employees that drive to work = 2/3 X 570 = 380
In order to determine the employees that drive to work, take the following steps:
Determine the total number of employees : 3 x 330 = 990
The total number of employees that drive to work: 2/3 x 990 = = 660
To learn more about multiplication of fractions, please check: brainly.com/question/1114498
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The missing justification in the proof is
<span>B) Substitution property of equality
The expression for sin</span>² x and cos² x is substituted to the other side of the equation. Since sin x = a/c, then sin² x = a²/c². Similarly, since cos x = b/c, then cos² x = b²/c². Adding to two results to the third statement.
Answer:
£30
Step-by-step explanation:
Let Brian initially had money in his wallet = £x
and Colin had the money = £y
Since ratio of money in Brian's wallet to Colin's wallet was 5 : 1
Therefore,
⇒ x = 5y -------(1)
Brian spent £27 that day, so money left with him = £(x - 27)
After spending the money Brian had £3 less than Colin.
(x - 27) = (y - 3)
x = y + 27 - 3
x = y + 24 -------(2)
Now we equate the equations (1) and (2) for the value of x,
5y = y + 24
5y - y = 24
4y = 24
y = £6
From equation (2),
x = 6 + 24
x = £30
Therefore, Brian initially had £30.
i hope this helps