To find equivalent inequalities you have to work the inequality given.
The first step is transpose on of sides to have an expression in one side and zero in the other side:
x - 6 x + 7
--------- ≥ --------
x + 5 x + 3
=>
x - 6 x + 7
--------- - -------- ≥ 0
x + 5 x + 3
=>
(x - 6) (x + 3) - (x + 7) (x + 5)
--------------------------------------- ≥ 0
(x + 5) (x + 3)
=>
x^2 - 3x - 18 - x^2 - 12x - 35
--------------------------------------- ≥ 0
(x + 5) (x + 3)
15x + 53
- ------------------- ≥ 0
(x + 5) (x + 3)
That is an equivalent inequality. Sure you can arrange it to find many other equivalent inequalities. That is why you should include the list of choices. Anyway from this point it should be pretty straigth to arrange the terms until making the equivalent as per the options.
Answer:
15
Step-by-step explanation:
Mia take 1/4 and 1/10 hours to create a bracelet. This is 1/4 + 1/10 = 10/40 + 4/40 = 14/40 = 7/20.
It takes her a total of 7/20 hours to make the bracelet. She has 5 1/4 hours to work. To find the number of bracelets she can make divide 5 1/4 by 7/20.
Write first 5 1/4 as a mixed number. 21/4. Then rewrite it as multiplication with the reciprocal of 7/20 to divide fractions.
21/4 * 20/7 = 420/28 = 15
She will make 15 bracelets.
Answer:
x = 15
y = 15√3
Step-by-step explanation:
This is a special right triangle with angle measures 30° 60° 90°
The side lengths should be x 2x x√3
If the measure of hypotenuse 30 then the side length that sees 30° should be half of it so x = 15 and y = 15√3
F(x)=2x+1
you can use a table of values for a diagram and graph the line
