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Lady_Fox [76]
3 years ago
11

List all subsets of ta, b, c, d, e) containing a but not containing b

Mathematics
1 answer:
fomenos3 years ago
7 0

Answer:

(a), (a,c), (a,d), (a,e), (a,c,d), (a,c,e), (a,d,e), (a,c,d,e)

Step-by-step explanation:

We are given the set (a,b,c,d,e).

Total number of subsets of the above set are 2^5 = 32

Subsets:

φ

(a,b,c,d,e)

(a), (b), (c), (d), (e)

(a,b), (a,c), (a,d), (a,e), (b,c), (b,d), (b,e), (c,d), (c,e), (d,e)

(a,b,c), (a,b,d), (a,b,e), (a,c,d), (a,c,e), (a,d,e), ( b,c,d), (b,c,e), (b,d,e), (c,d,e)

(a,b,c,d), (a,b,c,e), (a,b,d,e), (a,c,d,e), (b,c,d,e)

Subset having a but not b :

(a), (a,c), (a,d), (a,e), (a,c,d), (a,c,e), (a,d,e), (a,c,d,e)

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Solve the following new equation
mixer [17]

Answer:

<h3>x = 1.54 or x = - 4.54 to 2 decimal places</h3>

Step-by-step explanation:

x² + 3x - 7 = 0

Using the quadratic formula

a = 1 b = 3 c = - 7

x =  \frac{3 ± \sqrt{ {3}^{2} - 4(1)( - 7) }  }{2(1)}  \\  x =  \frac{ - 3± \sqrt{9 + 28} }{2}  \\  \\ x =  \frac{ -3 ± \sqrt{37} }{2}  \\  \\ x =  \frac{ - 3 +  \sqrt{37} }{2}  \:  \:  \:  \:  \: or \:  \:  \: x =  \frac{ - 3 -  \sqrt{37} }{2}  \\  \\ x = 1.54 \:  \:  \: or \:  \: x =  - 4.54

Hope this helps you

7 0
3 years ago
Given f(x) = 2x - 7, complete parts (a) through (c).
neonofarm [45]

Answer:

a) x=7/2

Step-by-step explanation:

a) since f(x) is=0, plug in 0 to → f(x)=2x-7 [this f(x)]. you would get 0=2x-7. solve for x by adding 7 and dividing by 2 which you get x=7/2.

6 0
3 years ago
Which figure best demonstrates the setup for the box method of finding the area of a triangle
Ivanshal [37]
Hi there! The third option shows us the best setup.

We can find the area of a triangle with the standard formula area = 1/2 * base * height.

To be able to fill in this formula, we need to have a base and a height. We can't easily find a triangle with given base and height, so we must look for another option.

We can also take the area of a square (length × width) and then divide the answer by 2. This is possible when we take the third setup. Hence the third answer is correct.
4 0
3 years ago
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Please help w these I’m not too sure
Nataly_w [17]
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8 0
2 years ago
Trig questions:
navik [9.2K]
Question 1
Because the period is 2π, and the amplitude is 1obtain
f(x) = sin(x)
Because the horizontal shift is π, obtain
f(x) = sin(x - π)
Because the vertical shift is -4, obtain
f(x) = sin(x - π) - 4

Answer: 1. f(x) = sin(x - π) - 4

Question 2
The radius is 36/2 = 18 in.
1 revolution (360°) is the circumference, which is
2π(18) = 36π in
When the revolution is 62°, the distance traveled is
(62/360)*(36π) = (31/5)π in

Answer: 3. (31π)/5

Question 3.
Consider f(x) = 3cos(2x-π) - 1
f(0) = 3cos(-π) - 1 = -4
f(π/2) = 3cos(0) - 1 = 2
Rate of change = (2+4)/(π/2) = 12/π

From the graph, the rate of change of g(x)  is
3/(π/2) = 6/π

Consider h(x) = sin(x) - 4
h(0) = 0 - 4 = -4
h(π/2) = 1 - 4 = -3
Rate of change = (-3+4)/(π/2) = 2/π
Therefore h(x) has the smallest rate of change

Answer: h(x)

8 0
3 years ago
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