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NNADVOKAT [17]
3 years ago
12

Which of the following functions is graphed below

Mathematics
2 answers:
Delicious77 [7]3 years ago
5 0
Darn it i was looking for the same thing 
mojhsa [17]3 years ago
4 0

Answer:

y=\begin{cases}x^3-3 & \text{ if } x\le 2 \\ x^2+6 & \text{ if } x>2 \end{cases}

Step-by-step explanation:

The given graph represents a piecewise function. The graph is discontinuous at x=2.

Open circle represents that the point x=2 is not included in the function and closed circle represents that the point x=2 is included in the function.

For x≤2, it a the graph of a cubic function which is generated by shifting the graph of y=x^3 to three units down.

y=x^3-3 for x≤2

For x>2, it a the graph of a quadratic function which is generated by shifting the graph of y=x^2 to 6 units up.

y=x^2+6 for x>2

Therefore, the graph represents the function

y=\begin{cases}x^3-3 & \text{ if } x\le 2 \\ x^2+6 & \text{ if } x>2 \end{cases}.

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Which ordered pairs are solutions to the inequality 2x + y > 8 ? Choose all answers that are correct.
gtnhenbr [62]
Hi again!

2x + y > 8

The correct answer is option D
-------------------------------------------

Honestly I don't think we can solve the equation to find the answer. What we can do is to find the boundary line. (I think you know what that is) After that, shading the appropriate area.

y > -2x + 8

Again, credit to my beautiful graphing calculator. Here is how it looks like.

6 0
3 years ago
In a survey of 3,200 people who owned a certain type of​ car, 960 said they would buy that type of car again. What percent of th
pshichka [43]

Answer: let

Total number of those who took part in the survey (T)=3200

Those who were satisfied (t)=960

Percentage of those who were satisfied (S)=(t/T)*100

S=(960/3200)*100

S=30%

Therefore only 30% were satisfied

Step-by-step explanation:

8 0
3 years ago
Susan keeps track of the high and low temperatures every day for a week. The following table shows her data what is the average
uysha [10]

Answer:

10.75

Step-by-step explanation:

To get the average, we always SUM UP all the numbers and divide by the number of numbers.

We do this for "change" row since we want average of "change".

Let's add up all the changes:

11 + 12 + 10 + 10 + 11 + 10 + 11 = 75

How many numbers are there?

There are 7 numbers

Now, the average:

Average = Sum/Number of Numbers

Average = \frac{75}{7}=10.75

The average = 10.75

4 0
3 years ago
Please help. pictrue shownn
goblinko [34]
The answer choice A is correct
4 0
3 years ago
Read 2 more answers
A 4. 9-mm-wide swimming pool is filled to the top. The bottom of the pool becomes completely shaded in the afternoon when the su
cestrela7 [59]

The depth of the swimming pool that is filled to the top is; 4 m

<h3>Snell's Law</h3>

I have attached a schematic diagram showing this question.

The correct width of the pool is 4 meters. Thus; w = 4 m

Incident Angle; θ₁ = 20°

A right angle is 90° and so the angle θ₂ is calculated from;

θ₂ = 90° - θ₁

θ₂ = 90° - 20°

θ₂ = 70°

We can use snell's law formula to find θ₃.

Thus;

n₁sinθ₂ = n₂sinθ₃

where;

n₁ is refractive index of air = 1

n₂ is refractive index of water = 1.33

Thus;

1*sin 70 = 1.33*sin θ₃

sin θ₃ = (sin 70)/1.33

Solving this gives;

θ₃ = 44.95°

By usage of trigonometric ratios we can find the depth of the pool using;

w/d = tan θ₃

Thus;

d = w/(tan θ₃)

d = 4/(tan 44.95)

d ≈ 4 m

Read more about Snell's Law at; brainly.com/question/10112549

6 0
2 years ago
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