Answer:
A linear function has the form y=mx+b
A line has a proportional relationship if y/x is always the same ratio for any value.
The slope m=(y2-y1)/(x2-x1) for some two points on a line is always constant, else it wouldn't create a line.
A line won't be proportional if you adapt b because the ratio of y/x won't match the slope anymore.
In the end this means all lines with proportional relationships must intersect (0,0) or in other words f(0)=0.
This happens if they have the shape y=mx.
Step-by-step explanation:
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Answer: 33
Step-by-step explanation:
Input the numbers into the variables.
7(2) + 3 + 16
14 + 3 + 16
17 + 16
33
Answer:
D. If one angle of a triangle is larger than another angle, then the side opposite the larger angle is longer than the side opposite the smaller angle.
Step-by-step explanation:
Hey there!
Let x be boy 1's age, and y be boy 2's age (younger).
Firstly, we know that x+y=24
6y-4=3x+5 <== we have this right here. (using the rules given by the question)
We can use all the equations to help find the answer.
x+y=24
x+y (-y)= 24(-y)
x=24-y
Plug that into x in the equation we made above.
6y-4= 3(24-y)+5
6y-4= 72-3y+5
Add 4 to each side.
6y= 81 -3y
9y=81
y=9
We know the younger boys age is 9.
We can plug that in to find the older one's age.
x+9= 24
x= 15
The boy's ages are 9 and 15.
I hope this helps!
~kaikers
