All categories

4 years ago

Which ordered pairs are solutions to the inequality y−3x<−4?

Mathematics

2 answers:

mars1129 [50]4 years ago

8 0

Answer:

(4,-2)

Step-by-step explanation:

y - 3x < - 4

-2-3(4) < -4

-2-12 <-4

-14 < - 4

musickatia [10]4 years ago

7 0

Answer:

(5,1) and (4,-2)

Step-by-step explanation:

The inequation has the following form:

$y < 3\cdot x - 4$

Now, each point is evaluated in the expression:

(5,1):

$1 < 3\cdot (5) - 4$

$1 < 11$ (TRUE)

(-3,0):

$0 < 3\cdot (-3) - 4$

$0$ (FALSE)

(1,-1):

$-1 < 3\cdot (1)-4$

$-1 < -1$ (FALSE)

(0,-3):

$-3 < 3\cdot (0) - 4$

$-3 < -4$ (FALSE)

(4,-2):

$-2 < 3\cdot (4) - 4$

$-2 < 8$ (TRUE)

You might be interested in

What is -40/-63 simplified?

S_A_V [24]

The answer would be 40/63 as simplified.
Hope this helps! Can i have brainiest?

6 0

4 years ago

What is the decimal form for ten and 54 hundredths

irinina [24]

Answer: 10.54

Step-by-step explanation:

$10 \frac{54}{100}$

Multiply 10 by 100 and add 54

$\frac{10*100+54}{100}=\frac{1000+54}{100} =\frac{1054}{100} =10.54$

3 0

3 years ago

A young lady started working at In N Out Burger:

kogti [31]

Answer:

Step-by-step explanation:

6. 13/hour

7. R=income/hours worked so 221/17=13. Not sure if that is what they are asking for.

8. Not sure. Is it $13/hour?

9. still guessing but the constant is $13/hour so to determine how many hours need to be worked to reach $1000, you divide. $1000/13=Approximately 77 hours.

5 0

3 years ago

Please awnser questions, no links, no I dont know 2.

uysha [10]

3 boxes of 12″ =36 = 2 boxes of 18″

so shortest height at which the 2 stack will be the same height =36 inches

4 0

3 years ago

In a certain city district the need for money to buy drugs is stated as the reason for 70% of all thefts. Find the probability t

torisob [31]

Answer:

9.72% probability that among the next 7 theft cases reported in this district, exactly 3 of them resulted from the need to buy drugs.

Step-by-step explanation:

For each theft, there are only two possible outcomes. Either the need to buy drugs is the reason of the theft, or it is not. Each theft is independent of each other. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

In a certain city district the need for money to buy drugs is stated as the reason for 70% of all thefts.

This means that $p = 0.7$

Find the probability that among the next 7 theft cases reported in this district, exactly 3 of them resulted from the need to buy drugs.

This is P(X = 3) when n = 7. So

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 3) = C_{7,3}.(0.7)^{3}.(0.3)^{4} = 0.0972$

9.72% probability that among the next 7 theft cases reported in this district, exactly 3 of them resulted from the need to buy drugs.

5 0

3 years ago