Fetures are x and y
x+y=12
23.99x+120.84y=675.28
x+y=12
multiply by -23.99 and add to other equation
-23.99x-23.99y=-287.88
<u>23.99x+120.84y=675.28 +</u>
0x+96.85y=387.4
96.85y=387.4
divde both sides by 96.85
y=4
sub back
x+y=12
x+4=12
minus 4
x=8
8 of the features costing $23.99
4 of the features costing $120.84
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Answer:
Equation in slope-intercept form is ![\mathbf{y=3x}](https://tex.z-dn.net/?f=%5Cmathbf%7By%3D3x%7D)
Step-by-step explanation:
We need to write equation in slope-intercept form to represent the relationship shown in the table.
The general equation of slope-intercept form is: ![y=mx+b](https://tex.z-dn.net/?f=y%3Dmx%2Bb)
where m is slope and b is y-intercept.
Finding slope using point (-2,-6) and (0,0)
The formula used is: ![Slope=\frac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=Slope%3D%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
We have ![x_1=-2, y_1=-6, x_2=0, y_2=0](https://tex.z-dn.net/?f=x_1%3D-2%2C%20y_1%3D-6%2C%20x_2%3D0%2C%20y_2%3D0)
Putting values and finding slope
![Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{0-(-6)}{0-(-2)}\\Slope=\frac{6}{2}\\Slope=3](https://tex.z-dn.net/?f=Slope%3D%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D%5C%5CSlope%3D%5Cfrac%7B0-%28-6%29%7D%7B0-%28-2%29%7D%5C%5CSlope%3D%5Cfrac%7B6%7D%7B2%7D%5C%5CSlope%3D3)
Using slope m= 3 and point (-2,-6) we can find y-intercept
![y=mx+b\\-6=3(-2)+b\\-6=-6+b\\b=-6+6\\b=0](https://tex.z-dn.net/?f=y%3Dmx%2Bb%5C%5C-6%3D3%28-2%29%2Bb%5C%5C-6%3D-6%2Bb%5C%5Cb%3D-6%2B6%5C%5Cb%3D0)
So, we have y-intercept b =0
Equation in slope-intercept form having slope m= 3 and y-intercept b =0 is:
![y=mx+b\\y=3x+0\\y=3x](https://tex.z-dn.net/?f=y%3Dmx%2Bb%5C%5Cy%3D3x%2B0%5C%5Cy%3D3x)
So, Equation in slope-intercept form is ![\mathbf{y=3x}](https://tex.z-dn.net/?f=%5Cmathbf%7By%3D3x%7D)
I’m sure the answer is 140.
the total of marbles = 16 + 10 +12 =38
A) white : blue = 16/10 = 8/5
B) red : total = 12/38 = 6/19
Step-by-step explanation:
1. find the total of marbles
About Reciprocal:
It's when a fraction is flipped.
Example:
- 2/3..... The reciprocal for 2/3 is 3/2.
- 3/5.... The reciprocal for 3/5 is 5/3.