Answer:
x = -0.2
Step-by-step explanation:
Cross multiply
9* 0.2(6x + 1) = 3.6 * 0.5x Combine the coefficients on the right.
1.8 (6x + 1) = 1.8 x Remove the brackets on the left
1.8*6x + 1.8 = 1.8x Multiply the factors on the left. Don't do anything with the plus sign
10.8x + 1.8= 1.8x Subtract 1.8 from both sides
10.8x = 1.8x - 1.8 Subtract 1.8x from both sides
10.8x - 1.8x = -1.8
9x = - 1.8 Divide by 9
x = -1.8/9
x = - 0.2
Check
This is one question you should check. There's lot's of room for an error.
<em><u>LHS</u></em>
0.2(6x+1)/3.6
0.2(6 * -0.2 + 1) / 3.6
0.2( - 1.2 + 1) / 3.6
0.2( - 0.2) / 3.6
- 0.04 / 3.6
- 0.011111111
<em><u>RHS</u></em>
0.5 ( - 0.2)/9
-0.1/ 9
- 0.0111111 And the left and right side check.
The answer is 7/8 so you would round it to 1.
Answer:
x-intercept: (3, 0)
y-intercept: (0, -10)
Step-by-step explanation:
<u>X-intercept:</u>
We can see that the line crosses the x-axis at the 3. Let's imagine that this automatically makes a point. If the point is directly on the line, that means that the opposite coordinate (in this case, the y-coordinate) will be 0. This is because the point is directly at the 0 on the y-axis; it doesn't go up nor down.
<u>Y-intercept:</u>
The same goes for the opposite coordinate: if we picture a point at where the line intercepts the y-axis, there will be a point at -10 on the y-axis. Since the point is directly at 0 on the x-axis (meaning that it doesn't go left nor right) we know that the x-coordinate will be 0.
I believe this is a true statement. In statistics, you want a larger sample size to have a more accurate population distribution.
