Answer:
1. As definition, in a function, the set of all possible inputs or possible x values is called the domain.
=> Option 2 is correct.
2. As definition, in a function, the set of all possible outputs or possible y values is called the range.
=> Option 3 is correct.
3. You pay a fixed amount of 70$ and 3$ for each movie.
=> A function that models the total cost: y = 70 + 3x
=> Option 1 is correct
4. Similar to the 3rd, you pay a fixed amount of 5$ to enter and 2$ for each ride.
=> A function that models the total cost: y = 5 + 2x
=> Option 3 is correct.
5. The average rate of change (R) of f(x) = x2 + 1 from x = 0 to x = 3 is actually the rate of change of line passes (0, 1) and (3, 10) as shown in picture.
=> R = (10 - 1)/(3 - 0) = 9/3 = 3
=> Option 1 is correct.
6. As property of vertical line: 75 = x - 10 + 20
=> x = 75 + 10 - 20 = 65 deg
As property of complement angles: 75 + y = 180
=> y = 180 - 75 = 105 deg
=> Option 2 is correct.
7. Yes, the two triangles are congruent (Side-Angle-Side case) with two sides are equal and the pair of angles created by those pair of 2 sides are also equal.
Hope this helps!
:)
Answer:
See step by step
Step-by-step explanation:
1. First question, do they represent functions? The one o. the left is a function because if you do the vertical line test. It only passes through a point once so it is a function. while on the right if you do the vertical line test, it passes through a point twice so it not a function. For 2.. n other words, since the domain of this equation is all real numbers or negative infinity to positives infinity
let say x=1 and x=-1 and we use the equation
when we plug both those in we get
this means that we can have two different x-values to equal out to the same y value. This is the definition of a function. So the one on the right is a function.
However the one on the left is a relation. TO Prove it, the domain of that function is all real numbers equal to or greater than zero, so let use 4.
Since there are 2 possible answer choices as the y value, this isn't a function. It a relation. It maps a group of ordered sets to one x value. Which is the opposite of the function. So the one of the left is a relation
Answer:
probability she does not win badminton: 1/10
probability she does not win tennis: 3/5
not sure what the other tree is supposed to be
i think the probability of her winning both is 11/15
Step-by-step explanation:
i havent done this in a while so i could be wrong:/ sorry if it is
Using the concept of correlation, it is found that a strong positive correlation is expected between these two variables.
- When two variables are direct proportional, that is, both increase together, there is a <em>strong positive correlation.</em>
In this problem, <u>the older the car</u>, the more it should have traveled, that is, the <u>higher the read on the odometer</u>, hence, there is a <em>direct proportional</em> relationship, which means that the variables have a strong positive correlation.
A similar problem is given at brainly.com/question/15468813
Answer:
0.7880
Step-by-step explanation:
