The value of gf(5) for the given two expressions is 135.
According to the question,
We have the following information:
f(x)= x +4
g(x) = 3x
Now, in order to find the value of gf(5), we will first find the value of gf.
Now, we will multiply these two expressions:
3x(x+4)
Now, the terms outside the brackets need to multiplied inside the bracket:
Now, we will put the value of x in this expression as 5 and solve the expression further by multiplication and addition:
3*5*5+12*5
75+60
135
Hence, the value of gf(5) for the given two expressions of f(x) and g(x) is 135.
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Answer:
BC = 4x-10
Step-by-step explanation:
is the midpoint of AC.
Answer:
Step-by-step explanation:
Let
x ---> the number
we know that
The algebraic expression is equal to multiply the number by 4, add 5 and equal 8
so
Solve for x
subtract 5 both sides
Divide by 4 both sides
Probability is defined as the <u>likelihood or the certainty</u> that an event is going to<u> occur or happen.</u>
The probability of randomly choosing a red and then a green marble is 
.
The total number of marbles = 20
The number of green marbles= 3
The number of blue marbles = 12
The number of red marbles = 5
<u>The probability of choosing a red marble</u> = Number of red marbles / Total number of marbles
= 5/20
<u>In simplest fraction form</u> = 
We are told in the question that you keep the red marble you choose, So this means the <u>total number of marbles</u> left reduces to 19
<u>The probability of choosing a green marble is</u> = Number of green marbles / New total number of marbles
= 3/19
Therefore, <u><em>the probability of randomly choosing a red and then a green marble is </em></u>
P (Red) x P(Green)
= 1/4 x 3/19
=
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