9514 1404 393
Answer:
the correct choice is marked
Step-by-step explanation:
The denominators of the two fractions must be the same. To make that happen, Juan can multiply the second fraction by (x-2)/(x-2) -- the marked answer choice -- and multiply the first fraction by 3/3. These operations can be done in some order.
The offered choices suggest that treating the second fraction first is Juan's preferred choice.
- multiply the second fraction by (x-2)/(x-2)
Answer:
put the ^ when you do exponents!
Step-by-step explanation:
There are three parts to graphing an inequality.
1. determine if the line will be dashed or solid
2. determine where you will shade in
3 graph with the appropriate line and shade
1. it is just > and not ≥ so the line will be dashed, which means the line itself is not part of the answer.
2. it is y> so you shade in the area inside the parabola. if y was an actal number it might be more complicated
3. graph x^2 - 6x + 11. If that seems a bit hard, put it into vertex form by completing the square.
y = x^2 - 6x + 11
y = (x - 3)^2 +2
Since x^2 is positive it opens upward and then plug in 0 for x and y in y = (x - 3)^2 +2 to get the x and y intercepts and the -3 and +2 tells you the vertex (in this case the minimum) is at (3,2), then remember the points are mirrored on either side of the vertex. so if the y intercept is 2 to the left and one higher than the vertex, there will also be a point 2 to the RIGHT and 1 up. then just connect the dots. Keep in mind there may not be any x intercepts if it never goes below the x axis *hinthintwinkwink*
if all else fails just graph a handful of points to get the idea of the shape. Just remember you are shading inside of the parabola and using dashed lines.
Outcome Red Blue Green Yellow
Frequency 10 5 13 7 total: 35 trials
experimental probability of Yellow: 7/35 =1/5 or 20%
experimental probability of Blue or Red: 5/35 + 10/35 = 15/35 = 3/7 or 42.86%
The sample is biased. This is because all he interviewed are employees of the company. They are more inclined to give a positive feedback regardless of their true opinion because they want to retain their jobs.
Answer:
C
Step-by-step explanation:
-5x-49>113
+49 +49
———————-
-5x>162
—- ——
-5 -5
x<32.4
