Answer:
y-intercept: (0, 12/5) or (0, 2.4)
x-intercept: (12/7, 0) or (1.714, 0)
Step-by-step explanation:
The y-intercept is the point where the graph crosses the y-axis. That means, the point (0, yi). To find yi, we have to substitute x by 0 in the equation.
7x + 5y=12
7*0 + 5y = 12
y = 12/5 = 2.4
y-intercept: (0, 12/5) or (0, 2.4)
The x-intercept is the point where the graph crosses the x-axis. That means, the point (xi, 0). To find xi, we have to substitute y by 0 in the equation.
7x + 5y=12
7x + 5*0 = 12
x = 12/7 = 1.714
x-intercept: (12/7, 0) or (1.714, 0)
Finally, the graph is shown below.
The percent of increase is 2%
2x - 11
-9 + x
equate the equations
2x - 11 = -9 + x
bring like terms to one side
2x - 11 = -9 + x
- x +11 +11 - x
-11 and +11 cancels out
+x and -x cancels out
2x - x = 11 - 9
x = 2
Since I can't post pictures in this answer, I will just tell you how to get the answer. For this question, you need to consider, how many centimeters go into 2 meters? Well, since 1 meter equals one hundred centimeters, 2 meters would equal 200 centimeters. And since we need to know how many 10 centimeter long sections there would be, then you need to divide 200 by 10. 200 divided by ten equals 20. So the answer would be 20 sections. The plumber is able to cut 20 sections. I hope that helped!
Start by dividing both sides by 2 to get
. Doing the math on the right, keeping in mind that logs have an unwritten base of 10, gives us
. Rewriting this in exponential form is
. That means that x = 8. Not negative, only positive.
