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vaieri [72.5K]
1 year ago
12

Let R(x)=3x3+2x2+x and S(x)=4x2+1. Find R(x)+S(x).

Mathematics
1 answer:
sasho [114]1 year ago
7 0

The function  R(x) + S(x) exists given by 3x^3+6x^2+x+1.

<h3>What is a function?</h3>

An expression, rule, or law that describes a relationship between one variable (independent variable) and another variable (dependent variable) exists named a function.

Let the functions be R(x)=3x^3+2x^2+x and S(x)=4x^2+1.

Adding both of the equations, we get

$R(x)+S(x)=(3x^3+2x^2+x) +(4x^2+1)

simplifying both of the equations we get

$R(x)+S(x)=3x^3+2x^2+x+4x^2+1

=3x^3+6x^2+x+1

Therefore, the function  R(x) + S(x) exists given by 3x^3+6x^2+x+1.

To learn more about function refer to:

brainly.com/question/12431044

#SPJ9

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<span>The answers to this problem are:<span>(<span>±5</span></span>√3/8,±5/8)<span>Here is the solution:
Step 1: <span><span><span>x2</span>+<span>y2</span>=<span>2516</span>[2]</span><span><span>x2</span>+<span>y2</span>=<span>2516</span>[2]</span></span>

Step 2: Substitute:<span> 
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Add [2] and [3]:<span> 
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Answer:

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Step-by-step explanation:

The shape of an arch corresponds to a parabola.

the general equation for a parabola is:

y=ax^2+bx+c

we're given three coordinates: (-7,-13),(7,-13) and (0,0)

so we can plug these values in the general equation to make 3 separate equations:

(x,y) = (-7,-13)

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so we have three equations. and we can solve them simultaneously to find the values of a,b, and c.

we've already found c = 0, let's use substitute it to other equations.

49a-7b+c=-13\quad\Rightarrow\quad49a-7b=-13

49a+7b+c=-13\quad\Rightarrow\quad49a+7b=-13

we can solve these two equation using the elimination method, by simply adding the two equations

\quad\quad49a-7b=-13\\+\quad49a+7b=-13

------------------------------

\quad\quad 98a=-26

\quad\quad a=-\dfrac{13}{49}

Now we can plug this value of a in any of the two equations.

49a-7b=-13

49\left(-\dfrac{13}{49}\right)-7b=-13

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b=0

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y=\left(-\dfrac{13}{49}\right)x^2+0x+0

y=-\dfrac{13}{49}x^2

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