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Pani-rosa [81]
3 years ago
8

When graphing an inequality on a number line, an open circle means which of the following?

Mathematics
2 answers:
Troyanec [42]3 years ago
6 0
Use an open circle for "less than" or "greater than", and a closed circle for "less than or equal to" or "greater than or equal to". The solution set for this problem will be all values that satisfy both -3 < x and x < 4.
Sliva [168]3 years ago
4 0

Answer:

Does NOT include the number the circle is placed on

Step-by-step explanation:

I don't see the answer choices that you have, so this is the best I could do! Hoped it helped!

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The varsity basketball team started selling T-shirts online in 1994. The number of T-shirts sold online, s, is modeled by the gr
-Dominant- [34]

(PART-A): s-intercept in this case represents the y-intercept of the graph, whereas the t-intercept in this case represents the x-intercept of the graph.

Always remember that y-intercept represents the value of y where the curve (or line) crosses the y-axis, and x-intercept represents the value of x where the curve (or line) crosses the x-axis.

In the graph attached with the question, at point (0,6) the curve crosses the y-axis. Therefore, the <em>y-intercept (s-intercept) in this case is 6</em>. It means that in year 2000 (t=0), 6 hundred shirts were sold.

However, there is no point on the graph where the curve crosses the x-axis, meaning there is <em>no x-intercept (t-intercept)</em>. It means that there is <em>not</em> a single year when the number of shirts sold is 0.


(PART B): As you can see in the graph (attached with the question) that the <em>f(t)</em> is increasing (exponentially) with the increase in <em>t. </em>Therefore, we can safely say that as t increases without bound, the f(t) increases (also). In this context, it means that the sale of shirts increases as the years go by. Hence, the correct blank is "increases."


(PART C): The average rate of change is actually the slope. To find the slope, we can use the following formula:

slope = \frac{y_2 - y_1}{x_2 - x_1} --- (X)

Given points: (5, 12.5) and (7, 22). Plug the values in equation (X),

slope = \frac{22-12.5}{7-5} = 4.75

Hence, the average rate of change for the function between t=5 and t=7 is 4.75 (answer).


(PART D): This part is bit tricky. Therefore, read the explanation carefully!

You can see in the graph that number of Shirts sold is in <em>hundreds. </em>It means that 1 unit (of y-axis in a graph) represents 100 shirts. Therefore, as in the question it is mentioned that there are 1000 T-shirts sold, it will become 10 units (since 10*100 = 1000). So, the function g(t) will become the following:

g(t) = f(t) + 10 --- (Y)

Why did I add f(t)? Because in the question, the word "<em>and</em>" is underlined. It means that g(t) represents not only 1000 T-shirts (10*100 = 1000) sold at the basketball games each year, but it also has the number of T-shirts sold ONLINE, which is f(t).

Now insert f(t) in (Y) and solve:

g(t) = f(t) + 10\\g(t) = (1.5)^t + 5+ 10\\g(t) = (1.5)^t + 15

Hence, g(t) is (1.5)^t + 15

8 0
3 years ago
Read 2 more answers
Matthew is standing near a flag pole as shown in the picture. There is a support wire that has been place on the ground to the t
mash [69]

Answer:

60

Step-by-step explanation:

10 x 6 is what?

Took the test :p

7 0
3 years ago
Whats the simplest form of 6 /18
MissTica

Answer:

What is 6/18 Simplified? - 1/3 is the simplified fraction for 6/18.

Step-by-step explanation:

8 0
2 years ago
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Which number is the best approximation for 52‾√+23‾√?
Ilya [14]

Answer: 9.9 Original answer is 10.5

Step-by-step explanation:

7 0
3 years ago
This question is asking what the value of g(5) is please answer and explain this cause don’t understand functions at all!!
frosja888 [35]
Short Answer: g(x) = -3x This is a teaching question. 
Remark

Define and describe f(x)
f(x) is read as y is dependent of x. The notation of f(x) with some exceptions is the same thing as y. What it stands for and what it can be used for is to tell you want value x can have if you want a  specific value for x. 

Suppose you are given 
y = x + 2

Then suppose there is another statement above it
Let x = 5
y = x + 2
y = 5 + 2
y = 7

Instead of writing the top statement
Let x = 5
You use the shorthand
f(5) = x + 2
f(5) = 5 + 2
f(5) = 7.

So what does all this come down to. It is just a short way of writing Let x = ?
f(?) is what x will equal. x will become ?. 

Your Question.
Remember that f(x) tells you what x becomes
f(5) means that x = 5.
Is that more than 4 or is that less than 4? It's a serious question. 
Of course 5 is greater than 4. So that means that g(x) = - 3x. You don't have to do anything. Just read it.
6 0
3 years ago
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