Which is true about the solution to the system of inequalities shown? y < x – 1 y < x – 3 All values that satisfy y < x
– 1 are solutions. All values that satisfy y < x – 3 are solutions. All values that satisfy either y < x – 1 or y < x – 3 are solutions. There are no solutions.
2 answers:
Answer:
Option (2) is correct.
All values that satisfy y < x – 3 are solutions.
Step-by-step explanation:
Given two inequality y < x – 1 and y < x – 3
We have to choose out of given options that is true about the solution to the system of inequalities given.
Step 1: We first plot both the inequality in the graph.(as shown below)
Step 2: Choose a test point to determine which side of the line needs to be shaded.
Step 3: the solution to the system will be the area where the shadings from both the inequality overlap one another.
Thus, All values that satisfy y < x – 3 are solutions.
Thus, Option (2) is correct.
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Using geometric sequence concepts, it is found that:
a) The rule is: .
b) An exponential relationship exists between the two variables.
<h3>What is a geometric sequence?</h3>A geometric sequence is a sequence in which the result of the division of consecutive terms is always the same, called common ratio q.
The nth term of a geometric sequence is given by:
In which is the first term.
A geometric sequence represents an exponential relationship between the variables.
In this problem, considering that the first-place finisher wins half of $1.500.000 in total prize money, and each finisher earns half of the one who finished above, the first term and the common ratio are given by:
.
Hence the nth term of the sequence is given by:
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Answer:
The function p = 75h represents this situation.
Step-by-step explanation:
We know the equation of linear equation in the slope-intercept form is
where
m = rate of change = slope
b = y-intercept
- Let 'h' be the number of hours
- Let 'p' be the pay
Given that Lian is paid SR 75 per hour.
so the rate of change of slope = m = 75
As there is no initial condition, so b = 0
as
y = mx+b
Now, mapping the information data into the slope-intercept form
- p = y
- m = 75
- h = x
- b = 0
Thus, the equation becomes
p = 75h
Therefore, the function p = 75h represents this situation.
VERIFICATION:
Given the equation
p = 75h
for h = 1
p = 75(1)
p = 75
Thus, Liam is paid SR 75 per hour.