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Debora [2.8K]
3 years ago
13

The graphs of two polynomial equations do not intersect. Kelly concludes that the system has no solution. Which statement best e

xplains why Kelly’s reasoning is correct or incorrect?.
Mathematics
2 answers:
yawa3891 [41]3 years ago
5 0

Answer:

The answer is A. "She is incorrect because systems may have only complex solutions which are not visible on a graph."

Step-by-step explanation:

antoniya [11.8K]3 years ago
3 0
Although the statements are not given, allow me to provide supplements to your understanding of polynomial equations. Because the graphs of two polynomial equations (let's name then f(x) and g(x)), then they do not share coordinate planes or points. If they do not share any points by intersection, then the system of equations does not have a solution. Therefore, Kelly's statement is correct.
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a person or thing that is totally different from or the reverse of someone or something else.


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3 years ago
Solve the equation for an ellipse for y. Assume that y > 0. y^2/a^2 + x^2/b^2 = 1
In-s [12.5K]
Multiply each term by a^2b^2:-

b^2y^2 + a^2x^2 = a^2b^2
subtract a^2x^2 from both sides
b^2y^2  = a^2b^2  - a^2x^2
Now divide both sides  by b^2

y^2 =  a^2 -  a^2x^2 / b^2  = a^2 (1 - x^2/b^2)

take positive square root ( because y > 0)

y  = a sqrt(1 - x^2/b^2)
4 0
4 years ago
Read 2 more answers
Solve the following system of equations by substitution. Show all steps.
Alinara [238K]

Answer:

Given system of equations:

\begin{cases}f(x)=-x^2+2x+3\\g(x)=-2x+3\end{cases}

To solve by substitution, equate the equations and solve for x:

\begin{aligned}f(x) & = g(x)\\\implies -x^2+2x+3 & = -2x+3\\-x^2+4x & = 0\\x^2-4x & = 0\\x(x-4) & = 0\\\implies x & = 0\\\implies x-4 & = 0 \implies x=4\end{aligned}

Therefore, the x-values of the solution are x = 0 and x = 4.

To find the y-values of the solution, substitute the found values of x into the functions:

f(0)=-(0)^2+2(0)+3=3

g(0)=-2(0)+3=3

f(4)=-(4)^2+2(4)+3=-5

g(4)=-2(4)+3=-5

Therefore, the solutions to the given system of equations are:

(0, 3) and (4, -5)

4 0
2 years ago
Seven times a number n and 4
WARRIOR [948]

anything above 28

Step-by-step explanation:

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5 0
3 years ago
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Write an algebraic expression for the perimeter of a rectangular garden with a width of 3 metres and a length of 2y metres. Simp
anyanavicka [17]

Answer:

P = 2(2y+3)

P = 30

Step-by-step explanation:

P = 2 (L+W) or P = L + L + W + W

P = 2 (2y+3)

P = 4y+6

Plug in 6 for y.

P = 24+6

P = 30

5 0
2 years ago
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