3x−2y=18
Step 1: Add -3x to both sides.
3x−2y+−3x=18+−3x
−2y=−3x+18
Step 2: Divide both sides by -2.
−2y−2=−3x+18−2
y=32x−9
Answer:
y=32x−9
Answer:
A.
Step-by-step explanation:
We are given the two points (2,7) and (4,-1). In order to determine the linear equation, we need to find the slope and the y-intercept. First, find the slope <em>m.</em> Let (2,7) be x1 and y1, and let (4,-1) be x2 and y2:
![m=\frac{y_2-y_1}{x_2-x_1} =\frac{-1-7}{4-2}=-8/2=-4](https://tex.z-dn.net/?f=m%3D%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D%20%3D%5Cfrac%7B-1-7%7D%7B4-2%7D%3D-8%2F2%3D-4)
Thus, the slope is -4.
Now, to find the y-intercept, we can use the point-slope form. Recall that the point slope form is:
![y-y_1=m(x-x_1)](https://tex.z-dn.net/?f=y-y_1%3Dm%28x-x_1%29)
Where (x1, y1) is a coordinate pair and m is the slope.
Use either of the two coordinate pair. I'm going to use (2,7). Substitute them for x1 and y1, respectively:
![y-(7)=-4(x-(2))\\y-7=-4x+8\\y=-4x+15](https://tex.z-dn.net/?f=y-%287%29%3D-4%28x-%282%29%29%5C%5Cy-7%3D-4x%2B8%5C%5Cy%3D-4x%2B15)
This is also slope-intercept form. The answer is A.
The 2nd choice is appropriate:
In Step A, Floria ...
If it is 2.25 yards per dress, and 4.15 a yard, multiply 2.25 by 4.15 and you get 9.3375 or just 9.34. if there are 4 girls, multiply 9.34 by 4 and you get $39.76
Answer:
D
Step-by-step explanation:
Options A & B are multiplied by improper fractions. Therefore,
54 × (5/3) > 54 not < 54
28 × (3/2) > 28 not < 28
Option C should be 49 × (3/7) < 49 not > 49
Whole numbers multiplied by fractions should be smaller.
Hence, option D is the right answer.
Note: Try multiplying like this
(54×5)/3 _ 54
(28×3)/2 _ 28
(49×3)/7 _ 49
(140×2)/5 _ 140