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Wittaler [7]
3 years ago
7

Determine whether each ordered pair is a solution to the inequality x+y>−2.

Mathematics
1 answer:
sweet [91]3 years ago
4 0
<h3>3 Answers:</h3>
  • Choice A.  (10, -1)
  • Choice B.  (-8, 9)
  • Choice D.  (6, -3)

===================================

Explanation:

If we plug the coordinates of point A into the inequality, then we get

x+y > -2

10 + (-1) > -2

9 > -2

That last inequality is a true statement since 9 is to the right of -2 on the number line. That means (10,-1) is a solution. Choice A is one of the answers

Choices B and D are also answers for similar reasons.

Something like choice C is not a solution because

x+y > -2

-1+(-9) > -2

-10 > -2

which is false

You should find that choice E is false as well.

---------------------

If you graphed the inequality and all of the points mentioned (see below), then you can visually confirm the answers. Notice how points A, B and D are in the blue shaded region which is the solution set.

The point E on the boundary does not count as a solution. This is due to the lack of "or equal to" portion of the inequality sign. That visually shows point E is not a solution. Point C isn't a solution either as it's nowhere near the blue shaded region.

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Evaluate 5 + 3x for (a) x= -2 and (b)x= 3. Write your answers in simplest form.
Alisiya [41]

Answer:

i really do not know the answer

5 0
2 years ago
Read 2 more answers
Please help I don’t understand this.
tresset_1 [31]

The average rate of change of <em>g(x)</em> over the interval [2, 8] is given by

(<em>g</em> (8) - <em>g</em> (2)) / (8 - 2)

In other words, it's the slope of the line through the points (2, <em>g</em> (2)) and (8, <em>g</em> (8)).

Use the definition of the function to evaluate it at the points in the numerator:

• 8 ≥ 4, so using the second piece, <em>g</em> (8) = -0.5(8) + 8 = 4

• 2 < 4, so <em>g</em> (2) = 5(2) + 1 = 11

Then the average rate of change is

(<em>g</em> (8) - <em>g</em> (2)) / (8 - 2) = (4 - 11) / 6 = -7/6

3 0
2 years ago
A substance has a density of 0.70 g/mL, if it has a volume of 3.0 mL, what is its mass?
Naddika [18.5K]

Answer:

<h2>2.1 g</h2>

Step-by-step explanation:

The mass of a substance when given the density and volume can be found by using the formula

mass = Density × volume

From the question we have

mass = 0.70 × 3

We have the final answer as

<h3>2.1 g</h3>

Hope this helps you

4 0
3 years ago
A two-factor between-subjects design is evaluated. The F-value for Factor A has df = 1, 40 and the F-value for Factor B has df =
finlep [7]

Answer:

The df values for the A x B interaction are also 3,40

Step-by-step explanation:

The F-value for Factor A has df = 1, 40

The F-value for Factor B has df = 3, 40.

The df values for the A x B interaction are also 3,40

This is because the source of variation between columns has ( c- 1); rc(n-1) degrees of freedom and  the source of variation between  rows has (r-1); rc(n-1) degrees of freedom and the  source of variation of interaction

(between rows and columns)  has ( c-1) ( r-1); rc(n-1) degrees of freedom.

Therefore

Factor A:  ( c- 1); rc(n-1)    = 1,40

<u>Factor B:    (r-1); rc(n-1)     = 3,40</u>

Interaction : ( c-1) ( r-1); rc(n-1)   =  3*1,(40)= 3,40

where c refers to columns , r refers to rows and n refers to the total sample size.

5 0
2 years ago
Please help :(<br>Solve the qaudratic equation given below<br>(9x + 13)² = 49(9x + 13)² = 49​
NemiM [27]

Answer:

Im pretty sure ur answers would be

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Step-by-step explanation:

So srry if im wrong tho

5 0
2 years ago
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