Answer:
The answer to your question is 0 < x ≤ 3/14
Step-by-step explanation:
Here are the steps to solve it.
First, you need to solve your inequality step-by-step:
3/x −2 ≥ 12
-2x + 3/x = ≥12
Next, find the critical points of the inequality:
2x + 3/x = 12
−2x + 3 = 12x (Multiply both sides by x)
−2x + 3 − 12x = 12x − 12x (Subtract 12x from both sides)
−14x + 3 = 0
−14x + 3 − 3 = 0 − 3 (Subtract 3 from both sides)
−14x = −3
-14x/ -14 = -3/ -14 (Divide both sides by -14)
So, that gives you your answer:
x = 3/14
Answer:
what is radius
Step-by-step explanation:
tell me what is the radius
Answer:
the solution set consists of {x < -2 ∪ x > 10/3}
Step-by-step explanation:
|3x - 2| > 8 is equivalent to the following set of inequalities:
1) 3x - 2 > 8
and
2) -(3x - 2) > 8
In case 1, above, add 2 to both sides, obtaining 3x > 10, or x > 10/3.
In case 2, above, carry out the indicated multiplication first:
-3x + 2 > 8. Next, subtract 2 from both sides: -3x > 6.
Next, divide both sides by -3, remembering to reverse the direction of the inequality sign: x < -2.
Thus, the solution set consists of {x < -2 ∪ x > 10/3}
Step-by-step explanation:
You're given that ΔUVW is similar to ΔYZW. The tricky part is identifying which sides in ΔUVW correspond to which sides in ΔYZW.
The triangles share point W, so visually rotate one triangle around W until the two triangles align. That way, you can see that UW and ZW correspond to each other, and VW and YW correspond to each other.
Now you can find the scale:
VW / YW = 5/12
And you can write a proportion to find x:
UW / ZW = VW / YW
x / 64 = 5 / 12
x = 26 ⅔
Answer:
y-intercept = 4
x-intercept = 2
Step-by-step explanation:
you can divide the equation through by 4 and change into the y=mx+c form to find c, the y intercept so the y-intercept = 4.
for the x intercept make the y=0 (because the coordinate point where the line crosses the x axis must have y=0) and then you get 8x=16 so x=2
