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4 years ago

Which ordered pairs are solutions to the inequality 2x + y > 8 ? Choose all answers that are correct.

2 answers:

4 0

I believe this is a trial and error type of question.

1) 2x + y > 8

Plug in the coordinate.

2(3) + 2 > 8

6 + 2 > 8

8 > 8

This is not true because 8 is not greater than 8.

Acceptable answers would be:

8 = 8 or 8 ≥ 8

2) 2(-1) + 9 > 8

-2 + 9 > 8

7 > 8

False.

3) 2(5) + (-1) > 8

10 - 1 > 8

9 > 8

This statement is true, therefore, (5, -1) is a correct solution to the problem.

4) 2(4) + 3 > 8

8 + 3 > 8

11 > 8

This is also true since 11 is greater than 8. (4, 3) is another solution to the inequality.

Nat2105 [25]4 years ago

3 0

The correct for this question is (3,2)

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A class has average height of 68 inches and a standard division of 2 inches what height do you need to be taller than 90% of the

Y_Kistochka [10]

Answer:

65.426

Step-by-step explanation:

Given that:

Mean height (m) = 68 inches

Standard deviation (s) = 2 inches

Height required to be taller than 90% of the class :

P(Z > x) = 0.9

The corresponding Zscore is - 1.282 (Z probability calculator)

Using the Zscore relation :

Zscore = (x - m) / s

-1.282 = (x - 68) / 2

-1.282 * 2 = x - 68

-2.564 = x - 68

-2.564 + 68 = x

x = 65.436

8 0

3 years ago

Sean wants to spend (example) $100 on clothing and he wants to purchase 6 additional items for his wardrobe. Each pair of pants

PolarNik [594]

A: I do not understand.

B: Yes

C: 2 pair pants is $40. 4 pair shirts is $60. $60 + $40 = $100

7 0

3 years ago

In ΔOPQ, PQ = 17, QO = 9, and OP = 15. Which statement about the angles of ΔOPQ must be true?

77julia77 [94]

Answer:

All angles are different.

Internal angles can be acute, obtuse, or right angle.

The smallest side is opposite to the smallest angle and the longer side is opposite to the larger angle.

Step-by-step explanation:

Given - In ΔOPQ, PQ = 17, QO = 9, and OP = 15.

To find - Which statement about the angles of ΔOPQ must be true?

Proof -

As given,

In ΔOPQ, PQ = 17, QO = 9, and OP = 15.

As all the sides of the given triangle is different, So the given triangle is a Scalene triangle.

Now,

We know that , In Scalene triangle -

All sides are different.

All angles are different.

Internal angles can be acute, obtuse, or right angle.

The smallest side is opposite to the smallest angle and the longer side is opposite to the larger angle.

6 0

3 years ago

What are the coordinates of the vertex of the table? Is it a minimum or a maximum? X Y 0 1 -1 -2 -2 -3

Margarita [4]

First, We observe that the function is a parabola that grows
For this case, we must first graph the function to observe the behavior of the same.
We see that the vertex of the function is located at the point:
(x, y) = (- 2, -3)
The point is a minimum.
Answer:
(x, y) = (- 2, -3)
It is a minimum.
See attached image.

4 0

3 years ago

Based on data in the table, which of the four

andre [41]

The correct option is D) Nosema ceranae.

The pathogen Nosema ceranae infected the highest percentage of honeybee colonies without colony collapse disorder.

<h3>What is Nosema Ceranae pathogen?</h3>

The microsporidian Nosema ceranae is a tiny, unicellular parasite that mostly infests Apis cerana, the Asiatic honey bee. The most common disease affecting adult honey bees, nosemosis is also caused by Nosema apis.

The Nosema Ceranae pathogen infected 81 percent of colonies without colony collapse disorder, according to the fourth row in the table.

Compared to the other pathogens' infection rates of 76, 48, and 5 percent, this is the greatest.

To know more about colony collapse disorder, visit: brainly.com/question/24825576

#SPJ4

8 0

2 years ago