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2 years ago

9 is what percent of 84?

Mathematics

2 answers:

Sever21 [200]2 years ago

8 0

10.71% is 9% of 84.
So 10.71% is the answer.

Alex2 years ago

7 0

$\frac{Current-value-of-x}{Original-value-x} * 100% = percentage of a value of x$
(9/84)*100% = 10.714286%
Which is about approximately, 10.71%

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If the squared difference of the zeroes of the quadratic polynomial x2+kx+30 is equal to 169 find the value of k and the zeroes

anyanavicka [17]

ANSWER

$x = 2 \: \: or \: \: x = 15$

$x = - 2 \: \: or \: \: x = - 15$

EXPLANATION

The given polynomial is

$f(x) = {x}^{2} + kx + 30$

where a=1,b=k, c=30

Let the zeroes of this polynomial be m and n.

Then the sum of roots is

$m + n = - \frac{b}{a} = -k$

and the product of roots is

$mn = \frac{c}{a} = 30$

The square difference of the zeroes is given by the expression.

$( {m - n})^{2} = {(m + n)}^{2} - 4mn$

From the question, this difference is 169.

This implies that:

$( { - k)}^{2} - 4(30) = 169$

${ k}^{2} -120= 169$

$k^{2} = 289$

$k= \pm \sqrt{289}$

$k= \pm17$

We substitute the values of k into the equation and solve for x.

$f(x) = {x}^{2} \pm17x + 30$

$f(x) = (x \pm2)(x \pm 15)$

The zeroes are given by;

$(x \pm2)(x \pm 15) = 0$

$x = \pm2 \: \: or \: \: x = \pm 15$

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3 years ago

What does the 80 inches represent in an 80" TV

solong [7]

It represents the distance diagonally between two opposite corners of a Television. (i.e. the distance between the bottom-left corner and the top-right corner)

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Tpy6a [65]

Answer:

Find a number that divides equally in both the numerator and denominator then divide the numerator and denominator by the number you just found an

Step-by-step explanation:

1) Find a number that divides equally in both the numerator and denominator

2) Then divide the numerator and denominator by the number you just found

3) Keep on doing this until you can't divide the numerator and denominator exactly with the number you found