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Law Incorporation [45]
3 years ago
7

3 - x > 2 or 4x + 2 > 10

Mathematics
1 answer:
Afina-wow [57]3 years ago
7 0
Hi!
In this question, you would first solve both equations, and then find the graph that best applies both of them.

To solve 3-x is greater then or equal to 2, you would add the x and subtract the 2, leaving you with 1 is greater than equal to x.

To solve 4x+2 is greater than or equal to 10, you would first subtract the 2 and then divide by 4, leaving you with x is greater than or equal to 2.

Our two equations are x is greater than or equal to 2, and 1 is greater equal to x, or 2 is smaller than or equal to x which is smaller than or equal to 1.

The graph that matches this compound equation is C.








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12x²-7x+10=0 by quadratic formula
gregori [183]
Photo attached with the working out.

Hope it helped! :D
Have a Brainly day!

4 0
3 years ago
Find the number of elements in A 1 ∪ A 2 ∪ A 3 if there are 200 elements in A 1 , 1000 in A 2 , and 5, 000 in A 3 if (a) A 1 ⊆ A
lina2011 [118]

Answer:

a. 4600

b. 6200

c. 6193

Step-by-step explanation:

Let n(A) the number of elements in A.

Remember, the number of elements in A_1 \cup A_2 \cup A_3 satisfies

n(A_1 \cup A_2 \cup A_3)=n(A_1)+n(A_2)+n(A_3)-n(A_1\cap A_2)-n(A_1\cap A_3)-n(A_2\cap A_3)-n(A_1\cap A_2 \cap A_3)

Then,

a) If A_1\subseteq A_2, n(A_1 \cap A_2)=n(A_1)=200, and if A_2\subseteq A_3, n(A_2\cap A_3)=n(A_2)=1000

Since A_1\subseteq A_2\; and \; A_2\subseteq A_3, \; then \; A_1\cap A_2 \cap A_3= A_1

So

n(A_1 \cup A_2 \cup A_3)=\\=n(A_1)+n(A_2)+n(A_3)-n(A_1\cap A_2)-n(A_1\cap A_3)-n(A_2\cap A_3)-n(A_1\cap A_2 \cap A_3)=\\=200+1000+5000-200-200-1000-200=4600

b) Since the sets are pairwise disjoint

n(A_1 \cup A_2 \cup A_3)=\\n(A_1)+n(A_2)+n(A_3)-n(A_1\cap A_2)-n(A_1\cap A_3)-n(A_2\cap A_3)-n(A_1\cap A_2 \cap A_3)=\\200+1000+5000-0-0-0-0=6200

c) Since there are two elements in common to each pair of sets and one element in all three sets, then

n(A_1 \cup A_2 \cup A_3)=\\=n(A_1)+n(A_2)+n(A_3)-n(A_1\cap A_2)-n(A_1\cap A_3)-n(A_2\cap A_3)-n(A_1\cap A_2 \cap A_3)=\\=200+1000+5000-2-2-2-1=6193

8 0
2 years ago
The diameter of a cylinder is 3yd the height is 8yd
nalin [4]

Answer:

volume= 56.55 yds

Step-by-step explanation:

If you're looking for the volume, the formula is V=\pi r^{2} h.

Diameter is two times the radius (radius is half of the diameter) so the radius of the cylinder would be 1.5 yds.

After you've gotten that information, plug those values into the formula.

V=\pi 1.5^{2} 8

Solve 1.5^2 first. Then multiply that value by pi. Then multiply that value by the height which is 8yds.

Volume=56.55yds rounded to the nearest hunderedth.

8 0
3 years ago
Find the quotient 5/4 ➗1 1/12
noname [10]

Nothing further can be done with this topic (when trying to find the quotient)  but, you might be looking for these Answer(s)

Exact Form:

15/11

Decimal Form:

1.36 (terminating)

Mixed Number Form:

1/4/11

5 0
3 years ago
Read 2 more answers
PLZ HELP GEOMETRY BELOW
Ronch [10]
B. 1 angle A congruent angle B
2. Corresponding parts of similar triangle
3 0
3 years ago
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