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ra1l [238]
3 years ago
11

List the members of P(fa, b, c, d}). Which are proper subsets of fa, b,c, d)?

Mathematics
1 answer:
ankoles [38]3 years ago
6 0

Answer: As i understand, the set is P = {a,b,c,d}

then all the proper subsets are all the sets that belongs to P, that are different of P. Then A is a subset of P if all the elements of A belongs to P, but A is not equal to P

this is:

the sets of one element : {a}, {b}, {c}, {d} and the null set; ∅

sets of two elements: {a,b} , {a,c} , {a.d}, {b,c}, {b,d}, {c,d}

sets of three elements : {a,b,c}, {a,b,d}, {a,c,d}, {b,c,d}

and there arent sets of 4 elements or more.

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Pls help! 50 POINTS!
nirvana33 [79]

Answer:

See below.

Step-by-step explanation:

1)

So we have the equation:

2x+3y=1470

To change into the slope-intercept form, we need to isolate the y-variable. Thus, subtract 2x from both sides:

(2x+3y)-2x=(1470)-2x

The left side cancels:

3y=1470-2x

Now, divide both sides by 3. The left side cancels:

(3y)/3=(-2x+1470)/3\\y=-\frac{2}{3} x+490

The slope-intercept form is:

y=mx+b

Where m is the slope and b is the y-intercept.

Thus, the slope is -2/3 and the y-intercept is 490.

2)

So, since we already know the y-intercept is 490, plot a point at (0,490).

The slope is too small to use. Thus, multiply the fraction by 100. It is now (-200/300). This means that we move <em>down</em> 200 for every 300 (recall that the slope means rise over run. Thus, we move down 200 for every 300 to the right). Thus, another possible point would be (0+300,490-200) or (300,290). Plot that. Then, connect them.

3)

To write in in function notation, simply substitute the y-variable for the function notation. Our independent variable here is x so we'll use that.

y=-\frac{2}{3}x+490\\ f(x)=-\frac{2}{3}x+490

This means that for every x sandwiches made, there is f(x) wraps made for the total sum to be $1,470.

For example, if 105 sandwiches were made, then f(105)=-2/3(105)+490=420 wraps were made for the total profit to be $1,470.

4)

Please refer to the attached graph.

5)

First, since the total profit has now increased, the graph above and to the right of the old graph. This is because Sal needs to sell more sandwiches and wraps. Likewise, because of this, the x- and y-intercepts will also be different. Nevertheless, if converted into the slope-intercept equation, the slope will remain the same.

5 0
3 years ago
Read 2 more answers
Let u= &lt; 4, -7&gt;, v= &lt;5, 3&gt; find the component form for the vector -4u + 2v
Nata [24]

Answer:

-4u+2v = <-6, 34>

Step-by-step explanation:

u = <4, -7) → -4u = <-16, 28>

v = <5, 3> → 2v = <10, 6>

-4u+2v =  <-16, 28> + <10, 6> = <-6, 34>

5 0
3 years ago
What is the value of t?
frutty [35]

Answer:

-39 2/3

Step-by-step explanation:

t - 122= 2t - 3

subtract 't' from each side to get:

-122 = 3t - 3

add 3 to each side to get:

-119 = 3t

divide each side by 3 to get:

t = -39 2/3

5 0
3 years ago
If you help me i will love you
blagie [28]
You must first normalize this in order to use a Z-score table. To convert what you have into a Z score you must use this formula: (x- mean) /standard deviation. In your case (334-310)/12=2. So now you want the probability that a score is greater than 334, which in turn means you want P(Z>2)=1-P(Z<2)=1-.9772=0.0228=2.28%.
5 0
3 years ago
Can someone help me solve the volume of a cylinder.​
Rzqust [24]

Answer:84.8

Step-by-step explanation:

7 0
3 years ago
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