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arlik [135]
3 years ago
5

Let f (x) = x^2 - 6x - 27

Mathematics
1 answer:
aniked [119]3 years ago
4 0

Answer:

x = 9

x = 3

Step-by-step explanation:

find the roots of x² - 6x - 27 = 0

by factorization (or use any of your favorite methods for solving quadratic equations):

x² - 6x - 27 = 0

(x-9)(x+3) = 0

Hence,

(x-9) = 0  --------> x = 9

or

(x+3) = 0  --------> x = -3

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2 years ago
What are the solutions to the quadratic equation x^2-16=0
maks197457 [2]
Good evening.


This is a incomplete quadratic equation, because it does not have the term bx. Therefore, we can solve this faster with the following strategy:

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\boxed{\boxed{\mathsf{S=\{-4, \ +4\}}}}
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3 years ago
1. Each of the integers from 0 to 9, inclusive, is written on a separate slip of blank paper and the ten slips are dropped into
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5 0
3 years ago
Evaluate the Riemann sum for (x) = x3 − 6x, for 0 ≤ x ≤ 3 with six subintervals, taking the sample points, xi, to be the right e
DENIUS [597]
Hello,

Reminders:
$\sum_{i=1}^{n} i= \dfrac{n(n+1)}{2}$&#10;&#10;&#10;
$ \sum_{i=1}^{n} i^2= \dfrac{n(n+1)}{2}$&#10;&#10;
$ \sum_{i=1}^{n} i^3= \dfrac{n^2(n+1)^2}{4} $&#10;

n=6\\&#10;x_{0}=0\\&#10;x_{n}=3\\&#10;\Delta= \dfrac{x_n-x_0}{n}=0.5\\&#10;&#10;
x_{i} =0+\Delta*i= \frac{i}{2}

$ \sum_{i=1}^{n}\ \Delta*f(x_{i})=\sum_{i=1}^{6}\  \dfrac{i^3/8-6i}{2} $
$= \dfrac{1}{2}\sum_{i=1}^{6}  (\frac{i^3}{8} -6i)=\dfrac{1}{16}*\frac{(6*7)^2}{4}- \frac{9*7}{2}= -3.9575


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8 0
3 years ago
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