3 years ago

Find the number of 4 digit numbers with no repeated digits.

Mathematics

1 answer:

solong [7]3 years ago

5 0

1209 I pick that number because it had no repeated digits

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1.) If x varies directly as y and x = 35 when y = 7. What is the value of y when x = 25?

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Graph y > -1/3x+5<br><img src="https://tex.z-dn.net/?f=y%20%3E%20%20-%20%20%5Cfrac%7B1%7D%7B%203%20%7D%20x%20%2B%205" id="Tex

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Explanation:

The function is $y>-\frac{1}{3} x+5$

To graph the function, let us find the x and y intercepts.

To find x-intercept, let us substitute y=0 in the function $y>-\frac{1}{3} x+5$

$\begin{aligned}0 &=-\frac{1}{3} x+5 \\-5 &=-\frac{1}{3} x \\x &=15\end{aligned}$

Thus, the x-intercept is $(15,0)$

To find the y-intercept, let us substitute x=0, we get,

$\begin{aligned}&y=-\frac{1}{3}(0)+5\\&y=5\end{aligned}$

Thus, the y-intercept is $(0,5)$

The graph has no asymptotes.

To plot the points in the graph, we need to substitute the values for x in the function $y>-\frac{1}{3} x+5$ , to find the y-values.

The points are $(-2,5.667),(-1,5.333),(1,4.667),(2,4.333),(3,4)$ . The image of the graph and table is attached below:

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