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2 years ago

Which system of linear inequalities has the point (2, 1) in its solution set?

1 answer:

4 0

You haven't provided the choices, therefore, I cannot provide an exact answer. However, I will help you with the concept.

For an order pair to be a solution to a system of equations, it has to satisfy BOTH equations. If it satisfies only one equation of the system or satisfy neither of the equations, the, it is not a solutions

Examples:
System 1:
x = y + 1
2x + 3y = 7
Let's check (2,1)
2 = 1 + 1 ........> equation 1 is satisfied
2(2) + 3(1) = 7 ......> equation 2 is satisfied
(2,1) is a solution to this system

System 2:
y = x + 3
y = x - 1
Let's check (2,1):
1 ≠ 2 + 3 ........> equation 1 isn't satisfied
1 = 2 - 1 ..........> equation 2 is satisfied
(2,1) isn't a solution to this system

System 3:
2y = 9 - 3x
3x + 2y = 9
Let's ceck (2,1):
2(1) ≠ 9 - 3(2) ..........> equation 1 isn't satisfied
3(2) + 2(1) ≠ 9 .........> equation 2 isn't satisfied
(2,1) isn't a solution to this system

Based on the above, all you have to do is substitute with (2,1) in the system you have and pick the one where both equations are satisfied

Hope this helps :)

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A class in advanced physics is composed of 10 juniors, 30 seniors, and 10 graduate students. the final grades show that 3 of the

const2013 [10]

Solution: We are given:

Total students = 10 + 30 + 10 =50

Number of students who received A grade = 3 + 10 + 5 = 18

Number of senior student's who received A grade is = 10

Let A be the event that the student is senior and B be the event that he or she earned an A. Then,

$P(A \cap B)=\frac{10}{50}$

$P(B) = \frac{18}{50}$

Now the probability a student chosen at random from this class and is found to have earned an A, the probability that he or she is a senior is:

$P(A|B) = \frac{P(A \cap B}{P(B)}$

$=\frac{\frac{10}{50} }{\frac{18}{50} }$

$=\frac{10}{18}=\frac{5}{9} =0.556$

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2 years ago

Naoya read a book cover to cover in a single session, at a rate of 55 pages per hour. After 4 hours, he had 350 pages left to re

Ivahew [28]

In 4 hours, Naoya must have read

$\dfrac{55\text{ pages}}{1\text{ h}}\cdot4\text{ h}=220\text{ pages}$

There were 350 pages remaining at the time, so the total number of pages is $220+350=570$ .

For each hour of reading, Naoya reads 55 pages, so the number of pages he's finished reading by the $t$ 'th hour is $55t$ . So the number of pages left to read is given by

$P(t)=570-55t$

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2 years ago

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At a particular restaurant, each onion ring has 70 calories and each slider has 200 calories. A combination meal with onion ring

crimeas [40]

Answer:

3x + 6y

x = sliders

y = onion rings

Step-by-step explanation:

2:1 ratio of onion rings to sliders, add them 200+70+70 = 340,

then 1020/340 = 3, then input into an equation remembering the ratio of onion rings to sliders

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2 years ago

Kelvin and Lewie each design surveys in order to determine the average number of people who buy food at the mall. Kelvin surveys

Lisa [10]

Answer:

Lewie Survey produces less valid result.

Step-by-step explanation:

Given:

1. Kelvin surveys every other person leaving the food area.

2. Lewie surveys every fifth person leaving the mall's main entrance.

Therefore,

Kelvin will able to produce valid result as he is surveying every person who is leaving food court.

Means,

There are high chances that would have bought food from the court.

Whereas,

Lewie is surveying every fifth person leaving the the mall's entrance.

Therefore,

Here probability to produce valid result is less as they may have not buy food or they may visited other shops.

So, Lewie survey will produce less valid result.

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2 years ago

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A square has a perimeter of 12x + 52 units. Which expression represents the side length of the square in units?

Xelga [282]

Answer:

Option (3) is correct.

side length of square is (3x + 13 ) units.

Step-by-step explanation:

For a square with side 'a'. Perimeter is defined as the sum of length of side. Since, Square has four sides. Thus Perimeter of square = 4 × side

Given square has perimeter = 12x + 52

Comparing both sides,

4 × side = 12 x + 52

⇒ Side = $\frac{12x+52}{4}$

⇒ Side = $\frac{4(3x+13)}{4}$

⇒ Side = 3x + 13

Thus, side length of square is (3x + 13 ) units.

Thus, option (3) is correct.

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2 years ago

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