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Vanyuwa [196]
2 years ago
10

An item on sale costs

Mathematics
2 answers:
Gelneren [198K]2 years ago
5 0
$18
...........................
9966 [12]2 years ago
3 0
The sale price would be 18 dollars. Hope this helps you! 
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Find the polynomial f(x) of degree 3 with real coefficients that has a y-intercept of 60 and zeros 3 and 1+3i.
Sauron [17]

\bf \begin{cases} x=3\implies &x-3=0\\ x=1+3i\implies &x-1-3i=0\\ x=1-3i\implies &x-1+3i=0 \end{cases} \\\\[-0.35em] ~\dotfill\\\\ (x-3)(x-1-3i)(x-1+3i)=0 \\\\\\ (x-3)\underset{\textit{difference of squares}}{([x-1]-3i)([x-1]+3i)}=0\implies (x-3)([x-1]^2-[3i]^2)=0 \\\\\\ (x-3)([x^2-2x+1]-[3^2i^2])=0\implies (x-3)([x^2-2x+1]-[9(-1)])=0

[ correction added, Thanks to @stef68 ]

\bf (x-3)([x^2-2x+1]+9)=0\implies (x-3)(x^2-2x+10)=0 \\\\\\ x^3-2x^2+10x-3x^2+6x-30=0\implies x^3-5x^2+16x-30=f(x) \\\\\\ \stackrel{\textit{applying a translation with a -2f(x)}}{-2(x^3-5x^2+16x-30)=f(x)}\implies -2x^3+10x^2-32x+60=f(x)

5 0
3 years ago
What is the solution of the following trig equation: tan(theta)(csc(theta)+2)=0
gtnhenbr [62]
D:\theta\neq\frac{k\pi}{2};\ k\in\mathbb{Z}\\\\tan\theta(csc\theta+2)=0\iff tan\theta=0\ \vee\ csc\theta+2=0\\\\\\tan\theta=0\iff\theta=k\pi\notin D\\\\csc\theta+2=0\\\\csc\theta=-2\\\\\frac{1}{sin\theta}=-2\\\\-2sin\theta=1\ /:(-2)\\\\sin\theta=-\frac{1}{2}

(\theta=-\frac{\pi}{6}+2k\pi\ \vee\ \theta=\frac{7\pi}{6}+2k\pi)-answer
7 0
3 years ago
Determine whether the relation is a function.<br> 5 points<br> TOI<br> Function<br> Not a Function
Stells [14]

Answer:

Function

Step-by-step explanation:

Put a vertical line through every point.

If the line goes through another point, then it is not a function.

This method is called the Vertical Line Test or VLT

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

7 0
2 years ago
Getting bored.Is there anyone???​
serg [7]

Answer:

yes very much so

Step-by-step explanation:

yes I don't know why but I am really and truly

7 0
2 years ago
Read 2 more answers
Need help <br><br><br><br><br><br> help me plz
Natasha2012 [34]

Answer:

-3

Step-by-step explanation:

Rise/Run is the basic formula for slope. The rise is 3 and the run is -1, making the answer -3.

6 0
2 years ago
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