Suppose you have a die that has 20 sides numbered 1 to 20. What is the probability the

Find a quadratic equation which has double root = 9. Write the quadratic form in the simplest standard form? x^2 +bx+c.

yarga [219]

The quadratic equation for an equation with double roots 9 is : $x^{2}$ -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

$x^{2}$ - 9x-9x + 81 = 0

$x^{2}$ -18x+81 = 0

in conclusion, the quadratic equation of the double root 9 is: $x^{2}$ -18x+81 = 0

Learn more about Quadratic equations : brainly.com/question/1214333

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7 0

1 year ago

Whats the answer for this 14=-(p-8)

Paraphin [41]

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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4 0

2 years ago

Read 2 more answers

Find the solutions of the systems -6x-2y=8 and 7x-2y=-5

Daniel [21]

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= 3

7

7 0

3 years ago

State of the given functions are inverses

bonufazy [111]

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.

1)

Let's find f[g(x)] and simplify.

$f[g(x)]=\frac{1}{2}g(x)+\frac{3}{2}$

$f[g(x)]=\frac{1}{2}(4-\frac{3}{2}x)+\frac{3}{2}$

$f[g(x)]=\frac{7}{2}-\frac{3}{4}x$

As f[g(x)] is not equal to x, these functions are not inverses.

2)

Let's find f[g(x)] and simplify.

$f[g(n)]=\frac{-16+(4n+16)}{4}$

$f[g(n)]=\frac{-16+4n+16}{4}$

$f[g(n)]=\frac{4n}{4}$

$f[g(n)]=n$

Now, we need to find the other composition function g[f(x)]

Let's find g[f(x)] and simplify.

$g[f(x)]=4(\frac{-16+n}{4})+16$

$g[f(x)]=-16+n+16$

$g[f(x)]=n$

Therefore, as f[g(n)] = g[f(n)] = n, both functions are inverses.

I hope it helps you!

3 0

2 years ago

Which statement is correct?

Tju [1.3M]

What statement? Im missing some information.

5 0

2 years ago