Answer:
see the explanation
Step-by-step explanation:
The complete question in the attached figure
Let
x ----> the number of movies
y ----> the amount of money remaining on her gift card
we know that
The slope of the linear equation is equal to the unit rate
take two points from the graph
(0,18) and (2,12)
Find the slope
---> is negative because is a decreasing function
That means -----> Each movie she rents cost her $3, so her gift card balance will decrease $3 for every movie rented
The linear equation is equal to
For y=0
so
6 is the maximum number of movies that Elyse can rent on line
In this question, we given a piece-wise function, that has different definitions depending on the domain.
Evaluate the function at x = 0.
The exercise asks for us to evaluate the function at 
We have to look at the definition, and see which definition includes . The equal sign at is on the second definition, that is:
Thus, at , the value of the function is 1, and the correct answer is given by option A.
For another example of evaluation of a piece-wise function, you can check brainly.com/question/17966003
Circumference = 360 degrees
<span>Circumference = 2π radians (comes from 2*pi*radius) </span>
<span>Therefore </span>
<span>360 deg. = 2*π radians </span>
<span>180 deg. = π radians </span>
<span>1 deg. = (π/180) radians </span>
<span>75 deg. = 75(π/180) radians </span>
<span>75 deg. = 75π / 180 radians </span>
<span>don't bother to try and simplify π (it is an irrational number) </span>
<span>however you can simplify 75/180 </span>
<span>both are divisible by 5 </span>
<span>75π/180 = 15π/36 </span>
<span>both are divisible by 3 </span>
<span>75 deg. = 5π/12 radians </span>
<span>We normally don't bother to go further, unless you actually need it as a decimal fraction (in which case, you will have an approximation) </span>
<span>75 deg. ≈ 1.308997 radians</span>
Answer:
35,28
Step-by-step explanation:
we know that
A number is an inequality solution if the number satisfies the inequality
<u>Part 1)</u> 
rewrite the inequality
The answer Part 1) is the option D 
Because satisfies the inequality
-----> is true
<u>Part 2)</u> 
The answer Part 2) is the option A 
Because satisfies the inequality
-----> is true
<u>Part 3)</u> 
we're going to verify every case
<u>case A)</u> For 
substitute the value of x in the inequality
------> is true
therefore
The number 
is a solution
<u>case B)</u> For 
substitute the value of x in the inequality
------> is not true
therefore
The number 
is not a solution
<u>case C)</u> For 
substitute the value of x in the inequality
------> is not true
therefore
The number 
is not a solution
<u>case D)</u> For 
substitute the value of x in the inequality
------> is not true
therefore
The number 
is not a solution
therefore
The answer Part 3) is the option A
