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3 years ago

Is choosing 5 players to represent the team at a fundraiser a permutation or a combination?

1 answer:

3 0

A permutation, since once you choose one member to be in the team, that same person cannot be chosen again. A combination requires us to be able to freely choose the same item in a set as many times as we may wish. A permutation restricts the amount of times we can choose an item in a set.

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Community coffee company wants a new flavor of cajun coffee. how many pounds of coffee worth $7 a pound should be added to 14 po

olga_2 [115]

14x4=56
5x14=70
70-56=14
14/7=2

8 0

3 years ago

PLS PLS PLS I NEED HELP WITH MATH!!!! GAVE OFF ALL MY POINTS FOR THIS PLEASE GIVE A GOOD ANSWER!!!!!

labwork [276]

Answer:

This app is meant for 1 question at a time

Step-by-step explanation:

Not trying to be mean just saying, here's a funny cat picture

6 0

3 years ago

Read 2 more answers

Find the coordinates of the other endpoint of the segment, given its midpoint and one endpoint. (Hint: Let (x,y) be the unkno

melomori [17]

Mid point formula =
(x1/2+x2/2, y1/2+y2/2)

x=
x+0 = 8
/2
x+0 = 8 x 2
x = 16

y=
y+(-2) = 1
/2
y-2 =1 x2
y=2+2
y=4

(16,4)

(In this case, the midpoint (x ,y) will be represent as the answer)

7 0

3 years ago

Which pair of expressions is equivalent using the Associative Property of Multiplication? (3 points) 5(3a ⋅ 4) = 15a ⋅ 20 5(3a ⋅

cluponka [151]

Answer:

5(3a ⋅ 4) = (5 ⋅ 3a) ⋅ 4

Step-by-step explanation:

The Associative Property is applied to two types of operations: addition and multiplication. This property indicates that, when there are three or more terms in these operations, the result does not depend on the way in which the terms are grouped.

In this sense, the associative property for the sum is mathematically given by:

$(x+y)+z=x+(y+z)$

and for the multiplication by:

$(xy)z=x(yz)$

Now, let:

$x=5\\y=3a\\z=4$

Using the Associative Property of Multiplication:

$(xy)z=x(yz)\\\\Replacing\hspace{3}the\hspace{3}values\\\\(5\cdot 3a)\cdot4=5(3a\cdot 4)$

Therefore the equivalent expressions are:

5(3a ⋅ 4) = (5 ⋅ 3a) ⋅ 4

8 0

3 years ago

Read 2 more answers

The polynomial of degree 4, P ( x ) has a root of multiplicity 2 at x = 4 and roots of multiplicity 1 at x = 0 and x = − 1 . It

Svetlanka [38]

To have roots as described, that means we have the following factors: From multiplicity 2 at x=1 has (x-1)^2 as its factor From multiplicity 1 at x=0 has x as a factor From multiplicity 1 at x = -4 has a factor of x+4 Putting these together we get that P(x) = A (x) (x+4) (x-1)^2 Multiply these out and find P(x) = A (x^2 + 4x) (x^2 - 2x + 1) A ( x^4 - 2x^3 + x^2 + 4x^3 - 8x^2 + 4x ) Combine like terms and find P(x) = A (x^4 + 2x^3 - 7x^2 + 4x) To find A, we use the point they gave us (5, 72) P(5) = A [ (5)^4 + 2(5)^3 - 7(5)^2 + 4(5) ] = 72 A [ 625 + 250 - 175 + 20 ] = 72 A [ 720 ] = 72 Divide both sides by 720 and find that A = 0.1 Final answer: P(x) = 0.1 ( x^4 + 2x^3 - 7x^2 + 4x) or P(x) = 0.1 x^4 + 0.2 x^3 - 0.7x^2 + 0.4x

4 0

3 years ago