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3 years ago

What is the intersection point of the lines y - 4x + 4 and y = 2x + 1?

Mathematics

1 answer:

lora16 [44]3 years ago

8 0

Answer:

$(\frac{1}{2}),(2)$

Step-by-step explanation:

Eliminate the equal sides of each equation and combine.

$-4x+4=2x+1$

Solve $-4x+4=2x+1$ for $x$ .

$x=\frac{1}{2}$

Evaluate $y$ when $x=\frac{1}{2}$ .

$y=2$

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Each month, an American household generates an average of 28 pounds of newspaper for garbage or recycling. Assume the standard d

inysia [295]

Answer: 0.3413

Step-by-step explanation:

Given: an American household generates an average of 28 pounds of newspaper for garbage or recycling. Assume the standard deviation is 2 pounds.

Let $\mu=\text{ 28 pounds and }\sigma=\text{ 2 pounds}$ .

Let x be the random variable that denotes the amount of newspaper for garbage generated by each household each month.

If the data conforms to a normal distribution and a household is selected at random, the probability of its generating between 28 and 30 pounds per month is about

$P(28$

Hence, the required probability is 0.3413.

4 0

3 years ago

How do you estimate weight?

nlexa [21]

With lbs(pounds) I think

8 0

3 years ago

Read 2 more answers

Select the correct answer.

romanna [79]

Employees salary [$}: 30,000, 30,000, 35,000, 35,000, 40,000, 40,000.

CEO Salary: $70,000.

The correct answer is this: BOTH JAN AND MARCY ARE CORRECT.

Jan says the employee average salary is $35,000. This is correct as shown below:

Average employee salary = 30,000 + 30,000 + 35,000 +35,000 + 40,000 + 40,000 / 6 = 210 / 6 = $35,000.

Marcy says the average salary of all company members is $40,000. This is also true as shown below.

Average salary of all company members = 30,000 + 30,000 +35,000 + 35,000 + 40,000 + 40,000 + 70,000 / 7 = 280 / 7 = $40,000.

5 0

3 years ago

Paul needs 8 equal-length sections of rope.After cutting these 8 sections,he has 28.9 inches of rope left over from an original

Reil [10]

<h3>Answer:</h3>

19.5 inches

<h3>Step-by-step explanation:</h3>

Let r represent the length of one of the sections of rope (in inches). Then the total length of the original rope is ...

... 8r +28.9 = 184.9

... 8r = 156 . . . . . . . . . . . . subtract 28.9; next, divide by 8

... 156/8 = r = 19.5

The length of each of the sections is 19.5 inches.

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3 years ago

In a problem it says that x is "at most –5." What does this mean?

STatiana [176]

It means that -5 is the range of your answer, it will be less than that.

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3 years ago

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