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2 years ago

4x−1=3y+5 as a ordered pair

Mathematics

1 answer:

dalvyx [7]2 years ago

8 0

Answer:

y = 4/3x - 2

Step-by-step explanation:

4x −1 = 3y + 5

+ 1 + 1

4x = 3y + 6

-3y -3y

-3y + 4x = 6

- 4x -4x

-3y = -4x + 6

/-3 /-3

y = 4/3x - 2

*View attached graph for ordered pairs*

Hope this helps!

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Which of the following are solutions to the quadratic equation? Check all that

Firlakuza [10]

Answer:

$\boxed{\sf \ \ \ x=-9 \ \ or \ \ x=2 \ \ \ }$

Step-by-step explanation:

hello,

$2x^2+7x-14=x^2+4\\ 2x^2+7x-14-x^2-4=0\\ x^2+7x-18=0\\x^2-2x+9x-18=0\\ x(x-2)+9(x-2)=0\\ (x+9)(x-2)=0\\ x+9 = 0 \ \text{or} \ x-2=0\\ x = -9 \ \text{or} \ x=2$

hope this helps

6 0

3 years ago

Three times as many children as adults attended a concert on Saturday. An adult ticket cost $7 and a child’s ticket cost $3. The

Ierofanga [76]

For this case we propose a system of equations:

x: Let the variable representing the number of children in the concert

y: Let the variable representing the number of adults at the concert

According to the assistance we have:

$x = 3y$

According to the cost we have:

$3x + 7y = 6000$

Substituting the first in the second equation we have:

$3 (3y) + 7y = 6000\\9y + 7y = 6000\\16y = 6000\\y = \frac {6000} {16}\\y = 375$

Thus, the concert was 375 adults.

On the other hand we have:

$x = 3 (375) = 1125$

Thus, the concert was 1125 children.

In total they were:

$375 + 1125 = 1500$ people

ANswer:

The concert was 1500 people

3 0

3 years ago

A math teacher is trying to analyze her test grades. She surveys the students to find out how many minutes they studied. She the

Natali [406]

<span>Well, they couldnt have studied negative time.. So Id say the domain is $x \ge 0$ where $x$ is the time they studied.</span>

5 0

3 years ago

Read 2 more answers

PLEaSE give me. an answer

pishuonlain [190]

Answer:

40 inches

Step-by-step explanation:

3 0

3 years ago

A pathologist knows that 14.9% of all deaths are attributable to myocardial infarctions (a type of heart disease). (Either you h

garik1379 [7]

Answer:

a) The mean number is 745 and the standard deviation is 25.18.

b) 896 deaths is a significantly high number, which means that there is cause for concern.

Step-by-step explanation:

For each death, there are only two possible outcomes. Either it is attributable to myocardial infarctions, or it is not. The probability of a death being attributable to myocardial infarctions is independent of other deaths. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

The expected value of the binomial distribution is:

$E(X) = np$

The standard deviation of the binomial distribution is:

$\sqrt{V(X)} = \sqrt{np(1-p)}$

A value X is significantly high is:

$X > E(X) + 2\sqrt{V(X)}$

In this problem:

$p = 0.149, n = 5000$

a. Find the mean and standard deviation for the number of such deaths that will occur in typical region with 5000 deaths.

$E(X) = np = 5000*0.149 = 745$

$\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{5000*0.149*0.851} = 25.18$

The mean number is 745 and the standard deviation is 25.18.

b. In one region, 5000 death certificates are examined, and it is found that 896 deaths were attributable to myocardial infarction. Is there cause for concern? Why or why not?

Is 896 a significantly high number?

$E(X) + 2\sqrt{V(X)} = 745 + 2*25.18 = 795.36$

895 > 795.36

896 deaths is a significantly high number, which means that there is cause for concern.

6 0

3 years ago