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shusha [124]
3 years ago
6

What are the x- and y-intercepts of the line?. 2x – 3y = 12. A. x-intercept –6, y-intercept 4. B. x-intercept –4, y-intercept 6.

C. x-intercept 4, y-intercept –6. D. x-intercept 6, y-intercept –4.
Mathematics
2 answers:
tigry1 [53]3 years ago
7 0
D. x-intercept 6, y-intercept –4.
Mnenie [13.5K]3 years ago
6 0
We are given the equation of the line:

<span>2x – 3y = 12

The intercepts of the line represents the point when one of the variable is set to zero or it is the point where the line intersects to the x and y axis.

To find for the x-intercept, we set y to 0:
</span>
<span>2x – 3(0) = 12
</span>x = 6

<span>To find for the y-intercept, we set x to 0:
</span><span>2(0) – 3y = 12
</span>y = - 4

Therefore, the correct answer is option D.
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There exist infinitely many common fractions $\frac{a}{b}$ , where $a &gt; 0$ and $b &gt; 0$ and for which $\frac{3}{5} &lt; \fr
vredina [299]

Answer:

3/5 has the smallest denominator

Step-by-step explanation:

Question:

There exist infinitely many common fractions a/b , where a > 0 and b > 0 and for which 3/5 < a/b< 2/3. Of these common fractions, which has the smallest denominator? Express your answer as a common fraction.

Solution

A Common fraction is a rational number written in the form: a/b. Where a and b are both integers.

The denominator and numerator in this case are greater than zero. That is, they are non zeros.

The least common denominator (LCD) of two non- zero denominators is the smallest whole number that is divisible by each of the denominators.

To find the smallest denominator between 3/5 and 2/3, we would convert the fractions to equivalent fractions with a common denominator by finding their LCM (lowest common multiple).

When comparing two fractions with like denominators, the larger fraction is the one with the greater numerator and the smaller fraction is one with the smaller numerator.

In our solution after comparing, the smaller fraction would have the smallest denominator.

Find attached the solution.

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Crazy boy [7]
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