Answer: First option.
Step-by-step explanation:
The equation of a line that passes through the origin (which is the point
), has the following form:
![y=mx](https://tex.z-dn.net/?f=y%3Dmx)
Where "m" is the slope of the line.
By definition, Proportional relationships have this form:
![y=kx](https://tex.z-dn.net/?f=y%3Dkx)
Where "k" is the Constant of proportionality.
Therefore, the graph of a Proportional relationship is a straight line that passes through the origin; then:
![m=k](https://tex.z-dn.net/?f=m%3Dk)
Observe the equations provided in the exercise's options.
In this case you can identify that the only equation that has the form
explained before, is the first one:
![y=14x](https://tex.z-dn.net/?f=y%3D14x)
And the Constant of proportionality is:
![k=14](https://tex.z-dn.net/?f=k%3D14)
Answer:
425 or 937
Step-by-step explanation:
First, I listed out all the possible numbers for the first digits, namely, the squares under 10.
1*1=1
2*2=4
3*3=9
Since all the digits have to be different, the first digit cannot be 1 because 1 squared is 1. So that leaves us 4 and 9 to work with, which I tried out one at a time.
Starting with 4:
2 squared is 4.
42
2 times 2 plus 1 equals 5.
425
Starting with 9:
3 squared is 9.
93
2 times 3 plus 1 equals 7.
937
So here we have two numbers that both work and meet the requirements (unless I understood the problem wrong at the part where it says "...the second digit in the 3rd digit on one more than twice the second digit")!
I hope this helped! :D
Answer:
y=-x-1
Step-by-step explanation:
1) -15
2) 5
3) -13
4) -4
5) 5
6) 14
7) 0
8) -8
9) -8
10) 7
These are very easy, when subtracting a negative from a positive think of it as just plain subtraction. When adding a negative to a positive, again, think of it as subtraction. When subtracting two negatives it's basically addition but you final answer should have a negative sign.
Hope I could help! :)