<u>Given</u>:
Given that the table with values of x and y.
We need to determine the relationship between x and y.
<u>Slope</u>:
The slope of the relation can be determined using the formula,
![m=\frac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
Substituting the points (2,11) and (4,9), we get;
![m=\frac{9-11}{4-2}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B9-11%7D%7B4-2%7D)
![m=\frac{-2}{2}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B-2%7D%7B2%7D)
![m=-1](https://tex.z-dn.net/?f=m%3D-1)
Thus, the slope of the relation is m = -1.
<u>y - intercept:</u>
The y - intercept of the relation is the value of y when x = 0.
Hence, from the table, it is obvious that when x = 0, the value of y is 13.
Thus, the y - intercept of the relation is b = 13.
<u>Relationship between x and y:</u>
The relationship between x and y can be determined using the formula,
![y=mx+b](https://tex.z-dn.net/?f=y%3Dmx%2Bb)
Substituting m = -1 and y =13, we get;
![y=-x+13](https://tex.z-dn.net/?f=y%3D-x%2B13)
Thus, the relationship between x and y is ![y=-x+13](https://tex.z-dn.net/?f=y%3D-x%2B13)
Answer:
Step-by-step explanation:
Let the 3 numbers be 4x , 5x and 6x
4x + 6x = 5x + 55
10x = 5x + 55 Subtract 5x from both sides.
<u> 5x 5x</u>
5x = 55 Divide by 5
x = 55/5
x = 11
Therefore the numbers are
3*11 = 33
4*11 = 44
5*11 = 55
Answer:
5(x+11)/3(x+8) = 5x+55/3x+24
Step-by-step explanation:
Answer:
Option b is correct
Step-by-step explanation:
In order to check the end behavior of a polynomial function we just check the leading term and its coefficient and the procedure is as follows:
Here we can see that highest exponent of the polynomial function is 4
therefore degree of the polynomial is 4. and therefore
is leading term.
because of even degree it will be same from both ends that is either both sides rises or both sides falls. Since number in the front of leading is negative therefore it falls at both ends. that is falls to the left and falls to the right.
therefore option b is correct.
Answer:
15 multiply by quarter is equal yo 60