Answer:
D
Step-by-step explanation:
So we want to find the equation of the line parallel to y=3x+5 and goes through the point (1,4).
First, since the new line is parallel, its slope must be equivalent. Therefore, the slope of our new line <em>must</em> also be 3.
Now, we can figure out the rest of the equation using the point-slope form:
![y-y_1=m(x-x_1)](https://tex.z-dn.net/?f=y-y_1%3Dm%28x-x_1%29)
Substitute 3 for m. Let's let (1,4) be x₁ and y₁. Thus:
![y-4=3(x-1)](https://tex.z-dn.net/?f=y-4%3D3%28x-1%29)
Distribute the right:
![y-4=3x-3](https://tex.z-dn.net/?f=y-4%3D3x-3)
Add 4 to both sides:
![y=3x+1](https://tex.z-dn.net/?f=y%3D3x%2B1)
And we're done!
The correct answer is D.
Answer:
Number of games = 4
Step-by-step explanation:
Let the number of games = x
Family Bowling Alley charges $1 for shoes and $4 dollars per game
If x games is played
Cost= 1+4(x)
Knight Owl Bowling charges $2 for shoes and $3.75 per game.
If x games is played
Cost = 2 + 3.75(x)
When the both cost are equal
1+4(x)= 2+3.75(x)
4x-3.75x = 2-1
0.25x = 1
X= 1/0.25
X= 4
Number of games = 4
D I guess because if you multiply all of that together, you get 0.0625 which is 1/16 and then you simplify it to be 1/4
Answer:
1. The value 40÷40.01 is close to 1.
2. The value 4÷40.01 is much less than 1.
3. The value 4000÷40.01 is greater than 1.
Step by step explanation:
The given numbers are 4, 40 and 4000.
Divide each number 4, 40 and 4000 by 40.01 we get
![\frac{4000}{40.01} = \frac{400000}{4001} =99.9750062](https://tex.z-dn.net/?f=%5Cfrac%7B4000%7D%7B40.01%7D%20%3D%20%5Cfrac%7B400000%7D%7B4001%7D%20%3D99.9750062)
You can see from above:
The value __40___÷40.01 is close to 1.
The value __4___÷40.01 is much less than 1
The value __4000___÷40.01 is greater than 1.