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3 years ago

Find the difference of 3/4 and 1/28.

Mathematics

2 answers:

adell [148]3 years ago

4 0

3/4 = 21/28 after multiplying top and bottom of 3/4 by the value 7

3*7 = 21 and 4*7 = 28

The goal is to get 3/4 into an equivalent fraction that has 28 as the denominator.

------------------------------------

So 3/4 - 1/28 is the same as 21/28 - 1/28

The denominators are the same. We subtract the numerators to get 21-1 = 20. The denominators stay the same at 28

We have

21/28 - 1/28 = (21-1)/28 = 20/28

Now reduce 20/28 as much as possible. Divide both parts by the GCF 4

20/4 = 5

28/4 = 7

The final answer is 5/7

Zepler [3.9K]3 years ago

3 0

Answer:

That would be the first option- 5/7

Step-by-step explanation:

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aleksandr82 [10.1K]

Answer:

Domain: $[-1,\infty)$

Range: $(-\infty, 3]$

Decreases over: $(-1,-\infty)$

Step-by-step explanation:

Given

$f(x) = -\sqrt{x + 1} + 3$ --- Missing from the question

Solving (a): The domain

To get the domain, the expression under the square root must not be negative.

In other words:

$x + 1 \ge 0$

Solve for x

$x + 1 -1\ge 0-1$

$x \ge -1$

Hence, the domain is:

$[-1,\infty)$

To get the range, we plot the values of the domain in the expression.

$x = -1$

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$f(-1) = -\sqrt{-1+1} +3$

$f(-1) = -\sqrt{0} +3$

$f(-1) = -0 +3$

$f(-1) = 3$

$x = \infty$

$f(\infty) = -\sqrt{\infty +1}+3$

$f(\infty) = -\sqrt{\infty}+3$

$f(\infty) = -\infty+3$

$f(\infty) = -\infty$

So, the range is: $(-\infty, 3]$

To get the interval where the function increases or not, we simply plot the graph of f(x).

See attachment for graph.

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