Select all the correct answers.Identify all the lines on the graph with unit rates that are less than 2 and greater than the unit rate of the relationship in the table.
line 1
line 2
line 3
line 4
line 5
Answers
Answer:
recall that the slope, namely the average unit rate of change, is rise/run.
so, what's the slope for the function in the table? well, we can simply pick any two points and get it, or just use the first point rise of 8 and a run of 7, gives us a slope of 8/7 or 1⅐.
now, let's take a peek at the lines, they all have a "rise" of 6, notice they're all lying on the y = 6 line horizontally.
1)
rise = 6, run = 2, slope 6/2 = 3.
well, 3 is more than 2, so no that one.
2)
rise = 6, run = 3, slope = 6/3 = 2.
well 2 = 2, so no that one either.
3)
rise = 6, run = 4, slope 6/4 = 3/2.
3/2 is actually larger than 8/7 and less than 2, you can check. so ✔
4)
rise = 6, run = 5, slope = 6/5.
6/5 or 1⅕ is more than 8/7, and is clearly less than 2, so ✔
5)
rise = 6, run = 6, slope = 6/6 = 1.
well, needless to say 1 is less than 2 but is less than 8/7, recall 8/7 is actually 1⅐.
Answer:
line 3 and 4
Step-by-step explanation:
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What is the appropriate restriction on the literal equation ax+b=c if you intend to solve the equation for x?Please provide explanation. Thanks :)
Answers
Answers
Answer:
Yes i can be on any side.
(x) 1 1 3 3
Output
(y) 4 2 12 6
Part A: Does the table represent y as a function of x? Justify your answer. (5 points)
Part B: The total cost f(x), in dollars, for renting a paddleboat for x hours is shown below:
f(x) = 20 + 10x
What is the value of f(120), and what does f(120) represent? (5 points
Answers
Answer with explanation:
Part A:
- A relation is said to be a function where each input has only a single output.
We usually take the input variable as 'x' and the output variable as 'y'.
In the given table, we can see that 1 is the input value corresponding to 4 and 2 both.
i.e. one input value corresponds to two different output values that contradicts the definition of the function.
Thus the given table doesn't represent any function.
Part B: Given : The total cost f(x), in dollars, for renting a paddle-boat for x hours is shown below:
At x= 120 ,
It represents that the total cost for renting a paddle-boat for 120 hours is $1220.
The table doesn't represent y as a function of x.
Why? One reason is that 1 or 3 is the first element in more than one ordered pair.
Part B)
f(x) = 10x + 20
f(120)= 10*120 + 20 = 1200 + 20 = 1220
f(120) represents cost of boating for 120 hours.
Answers
Answer:
-4
Step-by-step explanation:
The direction of the parabola depends on the sign of the leading coefficient i.e. sign of the coefficient with the squared term.
Remember these two points for vertical parabola:
- If the leading coefficient is positive the parabola will always open upwards
- If the leading coefficient is negative the parabola will always open downwards
We are given that the parabola opens down. This means that the leading coefficient must be negative. Among the given options only one option contains a negative number i.e. -4.
Therefore, the missing coefficient could be -4
Answers
written mathematically would look like this
5/x^2
In order for this fraction to be true, x CANNOT equal zero. If it does, the fraction is then simply equal to 0.
In any other case, x can be both negative and positive because a negative value squared will always be positive.
For example
if x=1
5/(1)^2=5/1=5
simple.
If x=2 though, then the result is much different
5/(2)^2=5/4
Answer:
what is x
Step-by-step explanation:
e.g : 4p + pq + 5pr
Answers
p (4 + q + 5r)
All of them have p as a common
So, we just take p out to factorize
p(4 + q + 5r)