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IgorLugansk [536]
3 years ago
9

Below are two parallel lines with a third line intersecting them

Mathematics
1 answer:
liq [111]3 years ago
4 0
I’m not sure but since the two lines are parallel then I would say105
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Which ordered pairs are in the solution set of the system of linear inequalities?
Elanso [62]

Answer:

The ordered pairs (5 , -2) , (3 , 1) , (4 , 2) are in the set of the solution ⇒

3rd answer

Step-by-step explanation:

- The first line has negative slope and passing through points (0 , 0)

  and (4 , -2)

∵ y>\frac{-1}{2}x

- The second line has positive slope and passing through points (-2 , 0)

  and (2 , 2)

∵ y

- Look to the attached figure to see the common part of the solutions

- The red shaded represents the inequality y>\frac{-1}{2}x

- The blue shaded represents the inequality y

- The shaded part with two colors represents the common solutions

  of the two inequalities

- Lets find the ordered pairs which are in the solution set of the system

  of linear inequalities

- Points (-4 , 2) , (-3 , 1) , (4 , -3) lies out the common shaded

- Points (5 , -2) , (3 , 1) , (3 , -1) , (4 , 2)

∵ Point (5 , -2) lies in the common shaded part

∵ Point (3 , 1) lies in the common shaded part

∵ Point (4 , 2) lies in the common shaded part

∴ The ordered pairs (5 , -2) , (3 , 1) , (4 , 2) are in the set of the

  solution

4 0
4 years ago
Read 2 more answers
A quality control specialist for a restaurant chain takes a random sample of size 12 to check the amount of soda served in the 1
Sloan [31]

Answer:

The answer is E. Impossible to determine

Step-by-step explanation:

Normally, you would find the Confidence interval of a normal sample by using

X(-+) Z* Sigma/n

Where x is the mean, sigma the standard deviation n the size of the sample and z the value  determined by your confidence interval size of 95%

.However, this approximation of a confidence interval may only be used for a sample if the number of observations is at least 30 or above.  When we have less observations than 30 we must use the standard deviation of the populations. But we only have a sample standard deviation so its not adequate or possible to determine CI the true mean of the population with such a small sample size.

3 0
4 years ago
Simplify: (3 + 4i) + (2 - 3i) - (5 - 6i)
Sav [38]
(3 + 2 - 5) and (4i - 3i + 6i)
= 0 + 7i
5 0
4 years ago
Read 2 more answers
Which is the side length of a cube with a volume of 2744 cm3?<br><br> Please help
Elis [28]
\sf~V=a^3

Plug in what we know:

\sf2744=a^3

Find the cube root of both sides:

\sf~a=\sqrt[3]{2744}

Simplify:

\sf~a=\boxed{\sf14}
3 0
3 years ago
Read 2 more answers
Tom has 2 1/2 times as many cards as Harry. Together they have 98 cards. How many cards do they each have?
USPshnik [31]

Answer:

Tom has 70 cards, and Harry has 28 cards.

Step-by-step explanation:

Let h = number of cards Harry has.

Then the number of cards Tom has is 2 1/2 * h = 2.5h.

Together they have 2.5h + h = 3.5h number of cards.

Together they have 98 cards.

3.5h = 98

h = 98/3.5

h = 28

Harry has 28 cards.

Tom has 2.5h = 2.5 * 28 = 70

Answer: Tom has 70 cards, and Harry has 28 cards.

7 0
3 years ago
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