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laila [671]
3 years ago
7

The quotient of a number and -3 is at least seven

Mathematics
1 answer:
djyliett [7]3 years ago
8 0

What do you mean?
Could you explain please ;)
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The number of lines that can be drawn perpendicular to a given line at a given point on that line in a plane is:
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In how many ways can 50 cards be chosen from a standard deck of 52 cards?
kykrilka [37]
The answer must take into account that the order is irrelevant, that is that it is the same J, Q, K that Q, K, J, and K, J, Q and all the variations of those the three cards.

The number of ways you can draw 50 cards from 52 is 52*51*50*49*48*47*...4*3 (it ends in 3).
,
But the number of ways that those 50 cards form the same set repeats is 50! = 50*49*49*47*....3*2*1

So, the answer is (52*51*50*49*48*....*3) / (50*49*48*...*3*2*1) =  (52*51) / 2 = 1,326.

Note that you obtain that same result when you use the formula for combinations of 50 cards taken from a set of 52 cards:

C(52,50) = 52! / [(50)! (52-50)!] = (52*51*50!) / [50! * 2!] = (52*51) / (2) = 1,326.

Answer: 1,326
7 0
4 years ago
Which table of ordered pairs represents the equation of the graph?
sasho [114]

Answer:

3x−2y=12

Solve for y

.

Tap for fewer steps...

Subtract 3x

from both sides of the equation.

−2y=12−3x

Divide each term by −2

and simplify.

Tap for more steps...

y=−6+3x2

Rewrite in slope-intercept form.

Tap for fewer steps...

The slope-intercept form is y=mx+b

, where m is the slope and b

is the y-intercept.

y=mx+b

Reorder −6

and 3x2

.

y=3x2−6

Rewrite in slope-intercept form.

y=32x−6

Use the slope-intercept form to find the slope and y-intercept.

Tap for fewer steps...

Find the values of m

and b using the form y=mx+b

.

m=32

b=−6

The slope of the line is the value of m

, and the y-intercept is the value of b

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Slope: 32

Y-Intercept: −6

Any line can be graphed using two points. Select two x

values, and plug them into the equation to find the corresponding y

values.

Tap for fewer steps...

Choose 0

to substitute in for x

to find the ordered pair.

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(0,−6)

Choose 1

to substitute in for x

to find the ordered pair.

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(1,−92)

Create a table of the x

and y

values.

xy0−61−92

Graph the line using the slope and the y-intercept, or the points.

Slope: 32

Y-Intercept: −6

xy0−61−92

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The answer would be B
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