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Alex17521 [72]
3 years ago
10

Given the two sets: A = {1, 2, 3} B = {3, 2, 1} Which of the following is a true statement? 4 ∈ B A B A is an infinite set none

of the above
Mathematics
2 answers:
nataly862011 [7]3 years ago
7 0

Answer: The answer is (b) A is subset of B.


Step-by-step explanation: Two sets A and B are given as follows -

A = {1, 2, 3}  and  B = {3, 2, 1}.

The given options are

(i) 4 ∈ A. This is not correct, since 4 is a not in the set A.

(ii) A is a subset of B. This option is correct since every element of set A is in set B.

(iii) A is an infinite set. This is also not correct, since A has only 3 elements, so it is a finite set.

(iv) Since option (ii) is correct, so this option is incorrect.

Thus, the correct option is (ii) A is subset of B.

ivolga24 [154]3 years ago
3 0
A = {1, 2, 3}  and B = {3, 2, 1}

4∈B is wrong, it should be 4∉B

Both sets are finite. each has 3 elements only
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What is the solution to the system of equations?
natka813 [3]

Answer:

Step-by-step explanation:

There is an error in the question. The table does not show two linear functions.  y₁ is a linear function, but   y₂ is not a straight line. It makes a bend at (-6,1).

Line 1 goes through (-12,-3) and (0,5).

slope  = (5-(-3))/(0-(-12)) = 2/3

y-intercept = 5

y₁ = (2/3)x + 5

Line 2 goes through (-12,-2) and (-6,1).

slope = (1-(-2))/(-6-(-12)) = 1/2

y₂ = (1/2)x + 4

(2/3)x + 5 = (1/2)x + 4

x = -6

y = (2/3)x + 5 = 1

Solution: (-6,1)

3 0
3 years ago
Two friends, Alejandro and Mia, agreed to split the check at a restaurant. Alejandro ordered $12 worth of food and Mia ordered $
kvasek [131]

Cost of Alejandro's food = $12

Tip paid by Alejandro = 20% of his bill = 20% of 12 = 2.4

Cost of Mia's food = $18

Tip paid by Mia = 15% of his bill = 15% of 18 = 2.7

Total Tip Paid = 2.4+2.7 = 5.1

Total Check Amount = 12 + 18 = 30

Total tip paid by Alejandro and Mia is r% of the total check amount.

So, we need to determine what % of 30 is equal to 5.1%

⇒ r% × 30 = 5.1

⇒ r% = 5.1 / 30

⇒ r% = 17%

Hence, r is 17%

8 0
3 years ago
Can someone help me?
AveGali [126]
A=-112 bcs -216 ft is down from sea level and -104 is also down from sea level bcs both values are in minus but -104 is higher than other so you can minus it from -216 the difference is the answer
b=-109
4 0
3 years ago
6. The variable x and y vary directly, and y = 40 when x = 5. Which equation relates the variables?
valkas [14]

Answer:

The equation relates the variables is y = 8x ⇒ D

Step-by-step explanation:

If x and y vary directly (y ∝ x), then y = k x, where

  • k is the constant of variation
  • k can be found using the initial value of x and y

∵ The variable x and y vary directly

∴ y ∝ x

→ By using the rule above

∴ y = k x

∵ y = 40 when x = 5

∴ The initial values of x and y are x = 5 and y = 40

→ Substitute them in the equation above to find k

∵ 40 = k(5)

∴ 40 = 5k

→ Divide both sides by 5

∵ \frac{40}{5} = \frac{5k}{5}

∴ 8 = k

→ Substitute the value of k in the equation above

∴ y = 8x

∴ The equation relates the variables is y = 8x

5 0
2 years ago
Task 1:
OleMash [197]

Answer:

maximum height is 4.058 metres

Time in air = 0.033 second

Step-by-step explanation:

Given that the equation height h

h = -212t^2 + 7t + 4

What is the toy's maximum height?

Let us assume that the equation is a perfect parabola

Time t at Maximum height will be

t = -b/2a

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t = -7/ - 212 ×2

t = 7/ 424 = 0.0165s

Substitute t in the main equation

h = - 212(7/424)^2 + 7(7/424) + 4

h = - 0.05778 + 0.115567 + 4

h = 4.058 metres

Therefore the maximum height is 4.058 metres

How long is the toy in the air?​

The object will go up and return to the ground.

At ground level, h = 0

-212t^2 + 7t + 4 = 0

212t^2 - 7t - 4 = 0

You can factorize the above equation and pick the positive time t since time can't be negative

Or

Since we have assumed that it's a perfect parabola,

Total time in air = (-b/2a) × 2

Time in air = 0.0165 × 2 = 0.033 s

3 0
2 years ago
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