Since there are 14 boys and the whole class has 31 students
We get, the ratio of the part-to-whole relationship for boys is 14/31.
And since there are 17 girls
We get, the ratio of the part-to-whole relationship for girls is 17/31.
Answer:

Step-by-step explanation:
So we have the two functions:

And we want to find f(g(1)).
So, let's find g(1) first:

Substitute 1 for x:

Simplify:

Add:

So:

Now, substitute 2 for x in f(x):

Multiply:

Add:

So:

Answer:
This is a line, x>0 (miles cannot be negative)
Step-by-step explanation:
Cost of renting a car = cost per mile times the number of miles plus the flat fee
We know the cost per mile = .25 and the flat fee
Let x = number of miles and y = cost of renting a car
y = .25x+15
This is in the form y= mx+b which is the slope intercept form of a line.
Some things you need to know:
1) You need to know how to convert standard form to slope y-int. form and slope y-int. form to standard form.
2) When two lines are parallel, the slopes are the same.
3) When two lines are perpendicular, the slopes are negative reciprocals of each other. (Or their product is -1)
example: 3/4 --> -4/3.
3/4 * -4/3 = -12/12 = -1
4) To find the value of b, substitute the point into the equation.
5) Convert the equation to slope y-int. form to find the slope.
6) When a line has an undefined slope, the slope y-int. will look either like
y = __ (forms horizontal line) or x = __ (forms vertical line).
To find the perpendicular of these lines, turn y to x / x to y.
To find the value of __, look at the point located in the line, so if x = ___
passes through (5,3), then x = 5 because x = 5 in the point. So the
equation would be x = 5.
Use online practice tests and other sources if you don't understand.
Answer:
x = -6
Step-by-step explanation:
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