The quadratic equation for an equation with double roots 9 is :
-18x+81 = 0.
what is a Quadratic equation?
A quadratic equation is an Algebraic equation with the highest power of its variable as 2.
It can be solved by several methods : Factorization, completing the square and graphical methods.
Analysis
if 9 is the double root of the equation, it means x = 9 or x = 9
So (x-9)(x-9) are factors
Therefore,
(x-9)(x-9) = 0
- 9x-9x + 81 = 0
-18x+81 = 0
in conclusion, the quadratic equation of the double root 9 is:
-18x+81 = 0
Learn more about Quadratic equations : brainly.com/question/1214333
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Answer: " p = - 6 " .
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Step-by-step explanation:
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Given: 14 = - (p - 8) ; Solve for "p" ;
Rewrite as:
↔ - (p - 8) = 14 ;
which is the same as:
-1(p - 8) = 14 ; ;
Divide each side by "-1" ; to get rid of the "-1" ;
{-1(p - 8) } / -1 = {14} / -1 ;
to get:
(p - 8) = -14 ;
Rewrite as:
p - 8 = -14 ;
Now add "8" to each side of the equation;
to isolate "p" on one side of the equation; & to solve for "p" :
p - 8 + 8 = -14 + 8 ;
to get:
p = - 6 ;
which is the answer:
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p = - 6 .
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Now, let us check our answer:
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Given: 14 = - (p - 8) ;
Substitute our solved value: "-6" ; for "p" ; to see if the equation holds true:
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14 = - (p - 8) ;
14 =? -(-6 - 8) ;
14 =? -(-14) ;
14 =? + 14 ? Yes!
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Hope this answer and explanation is helpful to you!
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Answer:
y=4
x= 3/7
Step-by-step explanation:
2y=8
Divide both sides by 2
2y÷2=8÷2
A.) y=4
Substitute 4 for y
7x−2y=−5
7x+(−2)(4)=−5
Simplify both sides of the equation.
7x−8=−5
Add 8 to both sides
7x−8+8=−5+8
7x=3
Divide both sides by 7
7x÷7= 3÷7
x= <u>3</u>
7
Answer:
1) They are not inverses
2) They are inverses
Step-by-step explanation:
We need to find the composition function between these functions to verify if these functions are inverses. If f[g(x)] and g[f(x)] are equal to x they are inverses.
<u>1)</u>
<u>Let's find f[g(x)] and simplify.</u>
![f[g(x)]=\frac{1}{2}g(x)+\frac{3}{2}](https://tex.z-dn.net/?f=f%5Bg%28x%29%5D%3D%5Cfrac%7B1%7D%7B2%7Dg%28x%29%2B%5Cfrac%7B3%7D%7B2%7D)
As f[g(x)] is not equal to x, these functions are not inverses.
2)
<u>Let's find f[g(x)] and simplify.</u>
![f[g(n)]=\frac{-16+(4n+16)}{4}](https://tex.z-dn.net/?f=f%5Bg%28n%29%5D%3D%5Cfrac%7B-16%2B%284n%2B16%29%7D%7B4%7D)
![f[g(n)]=\frac{-16+4n+16}{4}](https://tex.z-dn.net/?f=f%5Bg%28n%29%5D%3D%5Cfrac%7B-16%2B4n%2B16%7D%7B4%7D)
![f[g(n)]=\frac{4n}{4}](https://tex.z-dn.net/?f=f%5Bg%28n%29%5D%3D%5Cfrac%7B4n%7D%7B4%7D)
![f[g(n)]=n](https://tex.z-dn.net/?f=f%5Bg%28n%29%5D%3Dn)
Now, we need to find the other composition function g[f(x)]
<u>Let's find g[f(x)] and simplify.</u>
![g[f(x)]=4(\frac{-16+n}{4})+16](https://tex.z-dn.net/?f=g%5Bf%28x%29%5D%3D4%28%5Cfrac%7B-16%2Bn%7D%7B4%7D%29%2B16)
![g[f(x)]=-16+n+16](https://tex.z-dn.net/?f=g%5Bf%28x%29%5D%3D-16%2Bn%2B16)
![g[f(x)]=n](https://tex.z-dn.net/?f=g%5Bf%28x%29%5D%3Dn)
Therefore, as f[g(n)] = g[f(n)] = n, both functions are inverses.
I hope it helps you!
What statement? Im missing some information.