Answer:
Option B is correct
Step-by-step explanation:
We need to find g(h(f(x))
We first find h(f(x))
f(x) = x-3/x
Putting value of f(x) in place of x in h(x)
h(x) = 2x+1
h(f(x)) = 2(x-3/x) + 1
= 2(x-3/x) + 1
= 2x -6 /x +1
= 2x-6 +x/x
= 3x-6/x
Now, putting value of h(f(x)) in g(x)
g(x) = x+3
g(h(f(x)))= (3x-6/x) + 3
= 3x-6/x + 3
= 3x-6+3x/x
= 6x-6/x
So, Option B is correct.
Answer:
There are 6,296 children at the carnival
Step-by-step explanation:
The number of each group of people can be expressed as;
Number of boys (b)+number of adults (a)=7,052
b+a=7,052....equation 1
Number of girls (g)=Number of adults (a)-756
g=a-756....equation 2
But Number of girls (g)=number of boys (b)
Replacing the value of b in equation 1 with that of g in equation 2;
(a-756)+a=7,052
a+a=7,052+756
2 a=7,808
a=7,808/2
a=3,904
Replace the value of a in equation 2 with 3,904
g=3,904-756
g=3,148
But since g=b
g=b=3,148
b=3,148
Total number of children=Total number of boys (b)+total number of girls (g)
Total number of children=b+g
where;
b=3,148
g=3,148
replacing;
Total number of children=(3,148+3,148)=6,296
There are 6,296 children at the carnival
Answer:
I believe the answer is the second option, t is the independent variable and a is the dependent variable.
Step-by-step explanation:
This is because the amount of juice Marshall can make depends on the number of tomatoes Marshall has. Therefore, a is a dependent variable and option B is the answer.
Answer:
The amount of change she received was dollar.
Step-by-step explanation:
Price of each carton of milk is cents and she bought 3 cartons of milk.
We know that, <u>1 dollar = 100 cents</u>
So, 1 cent = dollar.
and cents dollar.
Thus, <u>the total price of 3 cartons of milk</u> dollar.
She gave the cashier $10.
So, the amount of change she received dollar.