<u>Answers</u>
-x + 5y = 4 ⇔ slope 1/5, y-intercept 4/5
5y - x = 15 ⇔ slope: 1/5, y-intercept: 3
2y - 3x = 7 ⇔ slope: 3/2, y-intercept: 7/2
2y = 5x + 7 ⇔ slope: 5/2, y-intercept: 7/2
<u>Explanation</u>
-x + 5y = 4
5y = x + 4
y = (1/5)x + 4/5 slope 1/5, y-intercept 4/5
5y - x = 15
5y = x + 15
y = (1/5)x + 3 slope: 1/5, y-intercept: 3
2y - 3x = 7
2y = 3x + 7
y = (3/2)x + 7/2 slope: 3/2, y-intercept: 7/2
2y = 5x + 7
y = (5/2)x + 7/2 slope: 5/2, y-intercept: 7/2
Answer:
y = 5x + 25
Explaination:
To get the equation of a line, first get the slope of the line.
Slope = (change in y)/(change in x)
= (60-30)/(7-1)
= 30/6
= 5
Now use one point in the line (4,45) and a general point (x,y).
Slope = (change in y)/(change in x)
5 = (y - 45)/(x - 4)
5(x - 4) = (y - 45)
5x - 20 = y - 45
y = 5x -20 + 45
Answer:
she should cut them into thirds
Step-by-step explanation:
there are 10 oranges while there are 15 players.
a) if she cuts them into halves, she will have 20 slices with 5 left over, who will get an extra slice while who doesn't? it can't work
b) if she cuts them into thirds, she will have 30 slices with 15 left over, that is enough to give each player two slices with none left over, it works!!
c) if she cuts them into quarters, she would have 40 slices with 25 left over. this means some players would get three slices, while others would only get two. it doesn't work.
this is why B is the right answer
Answer:
hope it helps...
Step-by-step explanation:
The value of the constant of proportionality is k=5k=5
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form y/x=ky/x=k or y=kxy=kx
The value of the constant k is equal to the value of the slope
In this problem we have
y=5xy=5x ------> is a linear direct variation
The slope is m=5m=5
therefore
The value of the constant of proportionality is k=5k=5
Answer: 21
Step-by-step explanation:
k(x) =x^3-2x
k(3) =3^3-2*(3)
k(3) =27-6
k(3) = 21
