How many three digit numbers greater than 540 can be formed using the digits 0,2,4,5,6,8 ?

Mathematics

2 answers:

shtirl [24]3 years ago

6 0

Answer:

Step-by-step explanation:

Olenka [21]3 years ago

4 0

542, 546, 548, 560, 562, 564, 568, 580, 582, 584, 586, 602, 604, 605, 608, 620, 624, 625, 628, 640, 642, 645, 648, 650, 652, 654, 658, 680, 682, 684, 685, 802, 804, 805, 806, 820, 824, 825, 826, 840, 842, 845, 846, 850, 852, 854, 856, 860, 862, 864, 865. so 51 total combinations

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Write an equation of the line in slope-intercept form. JY 1 (3, 3) (0, 2) 2 4 y=

stellarik [79]

Correct answer: y = $\frac{1}{3}$ x + 2

To find out the slope, you would need to remember this slope formula: $\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$ . We can use the two points provided on the graph to figure out the slope. We can label (3, 3) as $x_{1}$ and $y_{1}$ , and (0, 2) as $x_{2}$ and $y_{2}$ . Now we can plug these numbers into the slope formula to find out the slope:

m = $\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$ → $\frac{2-3}{0-3}$ → $\frac{-1}{-3}$ → $\frac{1}{3}$

To find out the y-intercept, just substitute (3, 3) into the slope-intercept formula ( y = mx + b ) with the slope that is substituted for 'm' that we already solved earlier.

y = mx + b

(3) = $\frac{1}{3}$ (3) + b

3 = 1 + b

2 = b

You can also prove this true by looking at the graph provided. The line intersects at the y-axis at 2.

Now we know that m = $\frac{1}{3}$ and b = 2, we can substitute it into the slope-intercept formula. Thus, the answer is y = $\frac{1}{3}$ x + 2.

Hope this helps you! Let me know if you have any more questions related to this problem.

3 0

3 years ago

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antiseptic1488 [7]

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