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2 years ago

Is 1.5 over 7.5 a rational number

1 answer:

5 0

Yes, because you can simplify it to .2 which can be written as a fraction. Irrational numbers are those ones that keep going with an infinite string of numbers past the decimal.

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Subtract rational expression. Show work please.

yan [13]

Given:

$$\frac{x+4}{x-1}-\frac{5}{x^{2}-1}$

To find:

The simplified rational expression by subtraction.

Solution:

Let us factor $x^2-1$ . It can be written as $x^2-1^2$ .

$x^2-1^2=(x-1)(x+1)$ using algebraic identity.

$$\frac{x+4}{x-1}-\frac{5}{x^{2}-1}=\frac{x+4}{x-1}-\frac{5}{(x+1)(x-1)}$

LCM of $x-1,(x+1)(x-1)=(x+1)(x-1)$

Make the denominators same using LCM.

Multiply and divide the first term by (x + 1) to make the denominator same.

$$=\frac{(x+4)(x+1)}{(x-1)(x+1)}-\frac{5}{(x-1)(x+1)}$

Now, denominators are same, you can subtract the fractions.

$$=\frac{(x+4)(x+1)-5}{(x-1)(x+1)}$

Expand $(x+4)(x+1)-5$ .

$$=\frac{x^2+4x+x+4-5}{(x-1)(x+1)}$

$$=\frac{x^{2}+5 x-1}{(x-1)(x+1)}$

$$\frac{x+4}{x-1}-\frac{5}{x^{2}-1}=\frac{x^{2}+5 x-1}{(x-1)(x+1)}$

6 0

2 years ago

110 + 3x +11 = 16x + 4 solve for x

sashaice [31]

Answer:

x = 9

Step-by-step explanation:

110 + 3x + 11 = 16x + 4

121 + 3x = 16x + 4

-3x -3x

121 = 13x + 4

-4 - 4

117 = 13x

117 ÷ 13 = x

9 = x

Check:

110 + 3(9) + 11 = 16(9) + 4

121 + 27 = 144 + 4

148 = 148

6 0

2 years ago

Read 2 more answers

What is the slope-intercept form equation of the line that passes through (1, 3) and (3, 7)?

34kurt

Answer:

y=2x+1

Step-by-step explanation:

5 0

2 years ago

Danielle is x years old. Her sister is 5 years older and her brother is half Danielle's age. Write an expression in simplest for

NeTakaya

The expression is 2.5x + 5

6 0

3 years ago

Read 2 more answers

After the expression (x^8)^3/4 is simplified as much as possible, x is raised to what exponent?

KonstantinChe [14]

Answer:

x^6

Step-by-step explanation:

Given (x^8)^3/4

To find : simplified as much as possible, x is raised to what exponent.

Solution : We have given that (x^8)^3/4

By the exponential rule : x^a(b) = x^ab

Then we have

=x^(8/4 *3)

=x^(2 *3)

=x^6

3 0

2 years ago

Read 2 more answers