Answer:
all work is shown and pictured
Using this equation, f(3) = 23.
In order to find the value of f(3), we need to take the f(x) equation and put 3 everywhere we see x. Then we follow the order of operations to solve. So, let's start with the original.
f(x) = 2x^2 + 5sqrt(x - 2)
Now place 3 in for each x.
f(3) = 2(3)^2 + 5sqrt(3 - 2)
Now square the 3.
f(3) = 2(9) + 5 sqrt(3 - 2)
Do the subtraction inside of the parenthesis.
f(3) = 2(9) + 5sqrt(1)
Take the square root
f(3) = 2(9) + 5(1)
Multiply.
f(3) = 18 + 5
And add.
f(3) = 23
4/5 x 1 1/6
<span>= 4/5 x (6 x 1 + 1)/6 </span>
<span>= 4/5 x 7/6 </span>
<span>= (4 x 7)/(5 x 6) </span>
<span>= 28/30 </span>
<span>= (28 ÷ 2)/(30 ÷ 2) </span>
<span>= 14/15</span>
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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