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Mnenie [13.5K]
3 years ago
13

(3x-5)/(x-5)>=0 How do I get the answers for this problem?

Mathematics
1 answer:
Diano4ka-milaya [45]3 years ago
3 0
\frac{3x-5}{x-5} > 0 

First, note that x is undefined at 5. / x ≠ 5
Second, replace the inequality sign with an equal sign so that we can solve it like a normal equation. / Your problem should look like: \frac{3x-5}{x-5} = 0
Third, multiply both sides by x - 5. / Your problem should look like: 3x - 5 = 0
Forth, add 5 to both sides. / Your problem should look like: 3x = 5
Fifth, divide both sides by 3. / Your problem should look like: x = \frac{5}{3}
Sixth, from the values of x above, we have these 3 intervals to test: 
x < \frac{5}{3}
\frac{5}{3} < x < 5
x > 5
Seventh, pick a test point for each interval. 

1. For the interval x < \frac{5}{3} :
Let's pick x - 0. Then, \frac{3x0-5}{0-5} > 0
After simplifying, we get 1 > 0 which is true.
Keep this interval.

2. For the interval \frac{5}{3} < x < 5:
Let's pick x = 2. Then, \frac{3x2-5}{2-5} > 0
After simplifying, we get -0.3333 > 0, which is false.
Drop this interval.

3. For the interval x > 5:
Let's pick x = 6. Then, \frac{3x6-5}{6-5} > 0
After simplifying, we get 13 > 0, which is ture.
Keep this interval.
Eighth, therefore, x < \frac{5}{3} and x > 5

Answer: x < \frac{5}{3} and x > 5

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3 years ago
the length of a rectangle is 9 cm and the diagonal of the rectangle is 11 cm. Find the width of the rectangle​
ss7ja [257]

Answer: The width  is the square root of 40 or 6.32

Step-by-step explanation:

9^2 + b^2 = 11^2  where b squared is the width  

81 + b^2 = 121

-81              -81

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b= 6.32

7 0
3 years ago
Which expression is equivalent to 28 + 12? (1 point) 4(7 + 3) 4(24 + 8) 7(4 + 12) 7(21 + 5)
vodka [1.7K]

Answer:

4(7+3)

Step-by-step explanation:

28 and 12 are both divisible by 4.

28 ÷ 4 = 7

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4 0
3 years ago
Read 2 more answers
Joy is reading a 352 page novel for her summer reading project on Monday she reads 3/8 of the novel on Tuesday she reads 28 page
MAXImum [283]

Answer:

104 Pages

Step-by-step explanation:

on Monday she reads 3/8 of the novel which means

\frac{3}{8} x 352 = 132 pages

on Tuesday she reads 28 pages, doesn't require any calculations.

on Wednesday she reads 1/4 of the novel,

\frac{1}{4} x 352 = 88

Just add all of that,

132+28+88=248 Pages

Subtract the novel pages by the read pages value

352-248=104pages.

8 0
3 years ago
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