If you would like to solve the inequality x - 5/x < 4, you can do this using the following steps:
<span>x - 5/x < 4
</span>x^2 - 5 < 4x
x^2 - 4x - 5 < 0
(x - 5) * (x + 1) < 0
x < 0
1. x = 5
2. x = -1
The correct result would be x = -1.
First you plot in the y-intercept of the equation. To find the y-intercept, substitute 0 into x. -3m will cancel our giving you y=5. x=0, y=5, the first ordered pair is (0,5). Now after you plot in the y-intercept, use your slope, which is -3, to graph the points of the equation. Starting from (0,5), move down 3 spaces on the y-axis (because it’s -3) and you’ll end up at (0,2). Next move over 1 ( all slopes with just a whole number moves on the x-axis 1 since the whole number divided by 1 doesn’t change the slope number) to the right because it’s a negative linear equation so it’ll go downward. After moving right, you’ll get (1,2). Do a couple more points starting from (1,2) then the 3rd point ABD and so on to get 3 or more points to be able to draw a linear line.
Answer:
1. Two ribbons, A and B. One third of A is equal to all of B. Draw a tape diagram to show the ribbons.
2. Half Robert’s piece of wire is equal to 2/3 of Maria’s wire. The total length of their wires is 10 feet. How much longer is Robert's wire than Maria's?
3. Half Sarah’s wire is equal to 2/5 of Daniel’s. Chris has 3 times as much as Sarah. In all, their wire measures 6 ft. How long is Sarah’s wire in feet?
Answer:
1) 145°
2) 20°
3) x = 7 ; measurement of the missing angle = 24
Step-by-step explanation:
1) supplement = 180°, 180 - 35 = 145
2) complment = 90° , 90 - 70 = 20
3) the figure is a right angle so the measurement is 90°
66 + (4x-4) = 90
62 + 4x = 90
4x = 28
x = 7
4(7) - 4
28 - 4
= 24
