Answer:
A' (3, 8 )
Step-by-step explanation:
Applying the translation rule to A (1, 3 )
A (1, 3 ) → A' (1 + 2, 3 + 5 ) → A' (3, 8 )
Answer:
4
Step-by-step explanation:
7x = x² - 8
=> x² - 7x - 8 = 0
use quadratic formula:
a = 1, b = -7, c = -8
x =
<em>(pls ignore the "A" I don't know why it's showing up)</em>
=> x =
=> x = 
=> x =
= 4 or
= -5 <em>(the answer is only 4 since it's asking for the positive solution)</em>
Answer:
30%
Step-by-step explanation:
Percentage loss is calculated as
× 100%
loss = 50000 - 35000 = 15000, thus
percent loss =
× 100% = 30%
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.