To find the x-intercept, we can put 0 into y, as any x-intercept would have a y-coordinate at 0.
y=0
y = −12x + 3
0 = -12x + 3
12x = 3
x = 3/12
x = 0.25 or 1/4
Therefore, the x-intercept=0.25 or 1/4.
Hope it helps!
Answer:
x = 1/2
and
y = -1
Step-by-step explanation:
8x + 3y = 1
4x + 2y = 0
Multiply 4x + 2y = 0 by 2
8x + 3y = 1
8x + 4y = 0
8x + 4y = 0 minus 8x + 3y = 1
y = -1
For 8x + 3y = 1 plug in y = -1
8x + 3(-1) = 1
8x - 3 x 1 = 1
8x - 3 = 1
Add 3 to both sides
8x - 3 + 3 = 1 + 3
8x = 4
Divide both sides by 8
8x/8 (cancels out) = 4/8
x = 1/2
Answer:
Step-by-step explanation:
1) -0.8/3.2
Answer is n= -.25
Evaluate:
C
5 3
Using my calculator, i found that this comes to 10.
Keeping in mind that, the segment is split in three thirds, and the point is 2/3 of the way, so is closer to (9, -2), with a 2:1 ratio, check the picture below.
![\bf \left. \qquad \right.\textit{internal division of a line segment} \\\\\\ A(3,4)\qquad B(9,-2)\qquad \qquad 2:1 \\\\\\ \cfrac{AC}{CB} = \cfrac{2}{1}\implies \cfrac{A}{B} = \cfrac{2}{1}\implies 1A=2B\implies 1(3,4)=2(9,-2)\\\\ -------------------------------\\\\ { C=\left(\cfrac{\textit{sum of "x" values}}{\textit{sum of ratios}}\quad ,\quad \cfrac{\textit{sum of "y" values}}{\textit{sum of ratios}}\right)}\\\\ -------------------------------](https://tex.z-dn.net/?f=%5Cbf%20%5Cleft.%20%5Cqquad%20%20%5Cright.%5Ctextit%7Binternal%20division%20of%20a%20line%20segment%7D%0A%5C%5C%5C%5C%5C%5C%0AA%283%2C4%29%5Cqquad%20B%289%2C-2%29%5Cqquad%0A%5Cqquad%202%3A1%0A%5C%5C%5C%5C%5C%5C%0A%5Ccfrac%7BAC%7D%7BCB%7D%20%3D%20%5Ccfrac%7B2%7D%7B1%7D%5Cimplies%20%5Ccfrac%7BA%7D%7BB%7D%20%3D%20%5Ccfrac%7B2%7D%7B1%7D%5Cimplies%201A%3D2B%5Cimplies%201%283%2C4%29%3D2%289%2C-2%29%5C%5C%5C%5C%0A-------------------------------%5C%5C%5C%5C%0A%7B%20C%3D%5Cleft%28%5Ccfrac%7B%5Ctextit%7Bsum%20of%20%22x%22%20values%7D%7D%7B%5Ctextit%7Bsum%20of%20ratios%7D%7D%5Cquad%20%2C%5Cquad%20%5Ccfrac%7B%5Ctextit%7Bsum%20of%20%22y%22%20values%7D%7D%7B%5Ctextit%7Bsum%20of%20ratios%7D%7D%5Cright%29%7D%5C%5C%5C%5C%0A-------------------------------)