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3 years ago

How many subsets of five elements each can be made from a set of seven elements?

1 answer:

8 0

<span>When creating a subset of 5 elements from 7 elements, order should not matter. Therefore, we use the combination formula over the permutation formula. The combination formula given n elements total and r elements used is n! / [r!*(n-r)!]. Substituting 7 for n and 5 for r, we get: 7! / (5!*2!) = 7*6 / 2 = 21 21 subsets can be created</span>

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Please help i need this as soon as possible

masya89 [10]

It's a quadratic so the parent function will be
$y = x ^{2}$
We can see that it has been shifted to the right 5 units, which gives us a new function
$y = (x - 5) ^{2}$
It has also been shifted up 9 units:
$y = (x - 5) ^{2} + 9$
But it has also been flipped across the y-axis which makes this the final change we need to do:
$y = - (x - 5) ^{2} + 9$

8 0

4 years ago

What is the slope of the line passing through (-3, 5) and (5, -3)?

krok68 [10]

slope = (y2-y1)/(x2-x1)

m =(-3-5)/(5--3)

m = -8/8

m=-1

Choice A

4 0

3 years ago

I need help on this question

melisa1 [442]

Answer:

C. y = 8x

Step-by-step explanation:

Using the slope formula, we can calculate the rate of Marisol's and Timothy's Machines.

$m = \frac{y_1-y_2}{x_1-x_2}$

Marisol:

$m = \frac{18-12}{3-2} \\m=6$

Timothy:

$m=\frac{54-36}{6-4} \\m=\frac{18}{2} \\m=9$

Now that we know the rate of their machines, we need to choose a rate that is between 6 and 9. Therefore, the rate of Zorian's machine needs to be y = 8x.

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3 years ago

A jar of jelly contains 510 grams of jelly. There are about 26 servings in one jar. How much is one serving? Please show work.

sashaice [31]

Answer:

Each serving is about 19 jelly beans.

Step-by-step explanation:

This is because 510 divided by 26 is 19.6.

4 0

4 years ago

A bike costs $200 but is reduced by 35% how much does the bike cost now?

iVinArrow [24]

Answer:

The bike costs $130.

Step-by-step explanation:

1) 200 x 0.35 = 70

2) 200 - 70 = 130

4 0

3 years ago

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