We can solve these equations by using substitution method where you substitute one equation to the other and solve for the value of the other variable. We do as follows:
y = 2x^2
y = –3x −1
2x^2 = –3x −1
2x^2 +3x +1 = 0
x1= -0.5
x2 = -1
y1 = 0.5
y2 = 2
Answer:
The table represents a function because each input corresponds to exactly one output.
Step-by-step explanation:
A table can be regarded as representing a function if and only if every input can only be mapped to exactly one output. In other words, it means, only 1 exact output can be assigned to an input. In a table of function, an input cannot have two different outputs. Although, two different inputs can be assigned to the same output.
From the table given, we see that every input has exactly one output. Although, we have different inputs that gives the same output.
Therefore, we can conclude that the table represents a function because each input corresponds to exactly one output.
In the year 1998, movie tickets will be greater than $5.50 as determined by solving the equation y=4.25[(1.035)^x].
What is an equation?
- Math can be used to analyze an equation or a set of equations.
- An equation is a sentence that maintains the equivalence of two expressions. Most of the time, it is easy to solve the arithmetic equations given in an exact manner.
- While perfect solutions can occasionally be found, it is more typical to find approaches that are just as accurate. It speaks to the particular guidelines for quadratic mathematical equations.
A movie ticket cost $4.25 in 1990.
The inflation rate is about 3.5%
Rate increased ,r=100%+3.5%=103.5%=1.035
equation generated is,
y=4.25[(1.035)^x]
Solving the equation for each year, we get the following data:
Tabulating the data
Year cost
1990 4.25
1991 ....
.... ....
1998 5.5964~ 5.6
In the year 1998, the will be greater than $5.50.
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14÷0.50
=<u>28</u>
Hope this helped you- have a good day bro cya)
GCF = 20
Reduce the fraction by dividing
the numerator and denominator by 20
and get the simplified answer
<span><span>20 ÷ 20=1 || 80 ÷ 20</span>=4
<em>1/4</em> is your answer! :D</span>
