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3 years ago

Which ordered pairs are solution of the inequality?

Mathematics

1 answer:

Anarel [89]3 years ago

8 0

Answer:

The answer would be A, D, and C.

Step-by-step explanation:

y=1, so

1 > 2(1) -2

1> 2-2

1>0 TRUE

NEXT.

y=3

3> 2(-1) -2

3>-2-2

3> -4 TRUE

y=-2

4>2(2) -2

4 > 4-2

4>2 TRUE!

I hope this helps!

You might be interested in

The surface area of the figure below is 50.80m^2 True or False

solong [7]

For this case we have that by definition, the surface area of a cone is given by:

$SA = \pi * r * s + \pi * r ^ 2$

Where:

A: It's the radio

s: It's the slant

Substituting according to the data we have:

$SA = \pi * 2.1 * 5.6 + \pi * (2.1) ^ 2\\SA = 36.9264 + 13.8474\\SA = 50.7738 \ m ^ 2$

If we round:

$SA = 50.8 \ m ^ 2$

Answer:

True

8 0

3 years ago

Raphael had 5 hits in 7 at bats. If he continues this pattern, how many hits will he have in 210 at bats?

devlian [24]

So it tell us that he is able to get 5 hits out of 7 and to find how much he could make if 210 chances
$\frac{5}{7} = \frac{x}{210}$

We solve what can be solved
$0.7 = \frac{x}{210}$

Then we leave our variable alone
$0.7 *210=x$

Last we solve
$x=147$

In this case we can see that he could make 147 hits out of 210 bats.

5 0

3 years ago

Roulette is a very popular game in many American casinos. In roulette, a ball spins on a circular wheel that is divided into 38

ludmilkaskok [199]

Answer:

a. P(AUB) = 0.74

b. P(A∩C) = 0.24

c. P(BUC) = 0.71

d. P(Bc) = 0.55

e. P(A∩B∩C) = 0.11

Step-by-step explanation:

n(U) = Total number of elements in the set = number of elements in the universal set = 38

A: (Outcome is an odd number (00 and 0 are considered neither odd nor even)]

An odd number referred to any integer, that is not a fraction, which is not possible to be divided exactly by 2. Therefore, we have:

A: 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35

B: 2, 4, 6, 8, 10, 11, 13, 15, 17, 20, 22, 24, 26, 28, 29, 31, 33, 35

C: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18

a. Calculate the probability of AUB

AUB picks not more than one each of the elements in both A and B without repetition. Therefore, we have:

AUB = 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 13, 15, 17, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 31, 33, 35

n(AUB) = number of elements in AUB = 28

P(AUB) = probability of AUB = n(AUB) / n(U) = 28 / 38 = 0.736842105263158 = 0.74

b. Calculate the probability of A ∩ C

A∩C picks only the elements that are common to both A and C. Therefore, we have:

A∩C: 1, 3, 5, 7, 9, 11, 13, 15, 17

n(A∩C) = number of elements in A∩C = 9

P(A∩C) = probability of A∩C = n(A∩C) / n(U) = 9 / 38 = 0.236842105263158 = 0.24

c. Calculate the probability of BUC

BUC picks not more than one each of the elements in both B and C without repetition. Therefore, we have:

BUC: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 20, 22, 24, 26, 28, 29, 31, 33, 35

n(BUC) = number of elements in BUC = 27

P(BUC) = probability of A∩C = n(BUC) / n(U) = 27 / 38 = 0.710526315789474 = 0.71

d. Calculate the probability of Bc

Bc indicates B component it represents all the elements in the universal set excluding the elements in B. Therefore, we have:

Bc: 00, 0, 1, 3, 5, 7, 9, 12, 14, 16, 18, 19, 21, 23, 25, 27, 30, 32, 34, 36

n(Bc) = number of elements in Bc = 20

P(Bc) = probability of Bc = n(Bc) / n(U) = 20 / 38 = 0.526315789473684 = 0.55

e. Calculate the probability of A∩B∩C

A∩B∩C picks only the elements that are common to A, B and C. Therefore, we have:

A∩B∩C: 11, 13, 15, 17

n(Bc) = number of elements in A∩B∩C = 4

P(A∩B∩C) = probability of A∩B∩C = n(A∩B∩C) / n(U) = 4 / 38 = 0.105263157894737 = 0.11

Note: All the answers are rounded to 2 decimal places.

7 0

3 years ago

What are the domain and range of f(x)=logx-5?

SCORPION-xisa [38]

Domain ( all possible values of x) is x > 5 or in interval notation it is (5, ∞)

The range( all possible values of log x) is (-∞, ∞)

8 0

3 years ago

Walking on his own, the distance, D, in feet, that Roberto can cover in M, minutes is given by the function D(m)=264m. When he w

ratelena [41]

Answer:

B(m)=A(m)-D(m)

B(m)=176m

Step-by-step explanation:

we are given

Walking on his own, the distance, D, in feet, that Roberto can cover in M, minutes is given by the function

D(m)=264m

When he walks on the moving sidewalk at the airport, the distance, A, in feet, that he can cover in m m minutes is given by the function

A(m)=440m

B is the distance, in feet, that Roberto would travel on the moving sidewalk in m minutes if he were standing still

moving sidewalk distance = standstill distance + walking distance

A(m)=D(m)+B(m)

so, we get

B(m)=A(m)-D(m)

now, we can plug values

B(m)=440m-264m

B(m)=176m

7 0

3 years ago