Mr. Winkleman , a professional wine taster, made $32,800 last year . This year he had a raise of $2,132 . what was the percent o
2 answers:
You might be interested in
The solutions for the given system of equations are:
(3, 0), (-4, 7).
<h3>How to solve the given system of equations:</h3>
Here we have the system:
x + y = 3
y = x² - 9
To solve this, we can replace the second equation into the first one, so we get:
x + (x² - 9) = 3
Now we can solve this quadratic equation for x, we need to solve:
x² + x - 12 = 0.
The solutions are given by Bhaskara's formula:
Then the two solutions are:
x = (-1 + 7)/2 = 3
x = (-1 - 7)/2 = -4
To get the y-values correspondent, we can evaluate the linear equation in these two values:
y = 3 - x.
For x = 3:
y = 3 - 3 = 0
For x = -4:
y = 3 + 4 = 7
Then the two solutions are: (3, 0), (-4, 7).
If you want to learn more about systems of equations:
#SPJ1
Answer: (1, 2)
Concept:
There are three general ways to solve systems of equations:
- Elimination
- Substitution
- Graphing
Since the question has specific requirements, we are going to use <u>elimination</u>
Solve:
<u>Given expressions</u>
x + 5y = 11
-x + 4y = 7
<u>Add both equations together to elimination [x] variable</u>
(x + 5y) + (-x + 4y) = 11 + 7
x - x + 5y + 4y = 18
9y = 18
<u>Divide 9 on both sides</u>
9y / 9 = 18 / 9
<u>Find the x value</u>
x + 5y = 11 ⇔ <em>Given equation</em>
x + 5(2) = 11 ⇔ <em>Substitute values of y</em>
x + 10 = 11 ⇔ <em>Simplify by multiplication</em>
x + 10 - 10 = 11 - 10 ⇔ <em>Subtract 10 on both sides</em>
Hope this helps!! :)
Please let me know if you have any questions
Answer:
The values are evaluated below.
Step-by-step explanation:
Given function is
We have to find the domain, range, rel max, rel min, end behaviour, increasing or decreasing intervals and zeros of polynomial.
Domain:
The domain of a function is the set of all possible values of x for the given function.
Here domain is set of all real numbers R.
Range:
The range is the resulting y-values we get after substituting all the possible x-values.From the graph we see that
The range is
Relative maxima and minima of a function, are the largest and smallest value of the function on an entire domain of function.
Relative max of is 0 at x=0
and at
Relative min is
at
From the graph we see that
End behaviour is As
Increasing intervals and decreasing intervals are
Increasing:
Decreasing:
Zeroes are :
⇒
⇒
Hence, zeroes are 0, 0, -3, -4
