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ratelena [41]
3 years ago
13

What is the difference between a linear function and a nonlinear function? Explain what each looks like when represented as a ta

ble and as a graph.
Mathematics
2 answers:
Marina86 [1]3 years ago
7 0
The equation of a linear function<span> has no exponents higher than 1, and the graph of a </span>linear function<span> is a straight line. The equation of a </span>nonlinear function<span> has at least one exponent higher than 1, and the graph of a </span>nonlinear function<span> is a curved line.</span>
DaniilM [7]3 years ago
5 0

Answer:

A linear function has a constant additive rate of change, while a nonlinear function does not. For a table of values to be linear, the dependent variable must have a constant rate of change as the independent variable increases by 1. On a graph, the function must be a straight line to be linear.

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Use the graph to find the solution of the system of equations {y = x^2 + 6x + 8 {y = x + 4
Phantasy [73]
Essentially when people ask you find the solution to system of equation, there asking at what x value do these to graphs intersect. The easiest way to do this is to get a graphing calculator, or desmos and type in the equation and find where they intersect. Heck, even the question says to solve it with a graph, but I'll demonstrate it algebraically.

One way you can do this is set the equation equal to each other. This is because you want to know at what x-value has the same y-value. So we get:

x^2 + 6x + 8 = x + 4

We can then combine like terms, or move everything to one side. So we get:

x^2 + 5x + 4 = 0.

Then we can use the quadratic formula to solve for x.

x=(-5 +/- sqrt(5^2 - 4(1)(4)))/(2(1)

This simplifies into:

(-5 +/- 3)/2

Finally we add and subtract:

(-5 + 3)/2 = x = -1
(-5 - 3)/2 = x = -4

And our solution is x = -1, x = -4
8 0
3 years ago
Tonya and Emily each have an online jewelry store. Let T represent the amount of money Tonya earns daily, and let
zubka84 [21]

Answer:

On average, Tonya makes $312 more than Emily on a typical day.

Step-by-step explanation:

I was just studying that question a few hours ago

3 0
3 years ago
Read 2 more answers
Need help on these problems
kupik [55]
Simple Interest = Principal * Interest Rate * Term
Total Amount = Principal + Simple Interest

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</span><span> 1 <span>         100.00         </span>6%             1 <span>           6.00 </span> <span>         106.00
</span></span><span> 3 <span>         100.00         </span>6%             2 <span>         12.00 </span> <span>         112.00
</span></span><span> 5 <span>         100.00         </span>6%             3 <span>         18.00 </span> <span>         118.00
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</span></span><span>10 <span>     4,000.00         </span>6%             3 <span>      720.00 </span> <span>      4,720.00
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2 years ago
Using the provided table, calculate the effective tax rate for a single taxpayer with a taxable income of $52,000.
barxatty [35]

Answer:

Option C is correct ,14.2%

Step-by-step explanation:

In order to determine the effective tax rate of a taxpayer with taxable income of $52,000,the starting point to determine how much in taxes the taxpayer pays as shown below:

First tax bracket=$9,525*10%=$952.5

Second tax bracket=$952.50+(12%*($38700-$9,525))

                                =$952.50+$3501

Third tax bracket(where the taxpayer belongs)=4453.5 +(22%*($52,000-$38,700))

third tax bracket tax=4453.5+$2926 =$7379.5

Since the total tax payable of  $7379.5   is now computed,

effective tax rate=tax paid/taxable income=7379.5/52000 =14.2%

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