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3 years ago

What is the root of -x^2+12x-32

Mathematics

1 answer:

Zepler [3.9K]3 years ago

6 0

Answer:

x = 4, x = 8

Step-by-step explanation:

To find the roots equate to zero, that is

- x² + 12x - 32 = 0 ( multiply through by - 1 )

x² - 12x + 32 = 0

Consider the factors of the constant term (+ 32) which sum to give the coefficient of the x- term (- 12)

The factors are - 4 and - 8, since

- 4 × - 8 = + 32 and - 4 - 8 = - 12, thus

(x - 4)(x - 8) = 0

Equate each factor to zero and solve for x

x - 4 = 0 ⇒ x = 4

x - 8 = 0 ⇒ x = 8

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Please don’t put any links because they don’t work just write the answer, thank you :)

AysviL [449]

Answer:

D. 19/20 mile

Step-by-step explanation:

Combine the fractions by finding a common denominator.

1/5 --> 4/20

1/4 --> 5/20

1/2 --> 10/20

4 + 5 + 10 = 19

19/20

Maria walked 19/20 of a maile

3 0

3 years ago

Find the measure of PR. PLEASE HELP ASAP!! A. 18 B. 19 C. 25 D. 22

Stells [14]

Answer:

A. 18

Step-by-step explanation:

the equation :

RF×RS = PR×RQ

16×9 = PR × 8

144 = PR×8

PR = 144/8

PR = 18

6 0

3 years ago

Help help pls pls pls

Minchanka [31]

82+109=191

125-93=32

163/15=10.9

403
x 585
————
2055
3286
+2055
——————
240,415

Hope that helps!

5 0

3 years ago

4x2 + 4x - 1, evaluate and fully simplify each of the - For the function f(0) following f(s + h) f(x + h) - f(5) h 10

Andrew [12]

Given the function f(x);

$f(x)=-4x^2+4x-1$

Evaluating the function f(x+h);

$\begin{gathered} f(x+h)=-4(x+h)^2+4(x+h)-1 \\ f(x+h)=-4(x^2+2xh+h^2)^{}+4(x+h)-1 \\ f(x+h)=-4x^2-4h^2-8xh^{}+4x+4h-1 \end{gathered}$

So;

$f(x+h)=-4x^2-4h^2-8xh^{}+4x+4h-1$

Evaluating the second function;

$\begin{gathered} \frac{f(x+h)-f(x)}{h}=\frac{-4x^2-4h^2-8xh^{}+4x+4h-1-(-4x^2+4x-1)}{h} \\ \frac{f(x+h)-f(x)}{h}=\frac{-4x^2-4h^2-8xh^{}+4x+4h-1+4x^2-4x+1}{h} \\ \frac{f(x+h)-f(x)}{h}=\frac{-4x^2+4x^2-4h^2-8xh^{}+4x-4x+4h-1+1}{h} \\ \frac{f(x+h)-f(x)}{h}=\frac{-4h^2-8xh^{}+4h}{h} \end{gathered}$

simplifying further;

$\begin{gathered} \frac{f(x+h)-f(x)}{h}=\frac{-4h^2-8xh^{}+4h}{h}=-4h-8x+4 \\ \frac{f(x+h)-f(x)}{h}=-4h-8x+4 \end{gathered}$

Therefore, we have;

$undefined$

7 0

1 year ago

In your own words, explain the Normal Distribution and provide a real world example.

elena-14-01-66 [18.8K]

Answer:

The Normal distribution is a continuous probability distribution with possible values all the reals. Some properties of this distribution are:

Is symmetrical and bell shaped no matter the parameters used. Usually if X is a random variable normally distributed we write this like that:

$X \sim N(\mu , \sigma)$

The two parameters are:

$\mu$ who represent the mean and is on the center of the distribution

$\sigma$ who represent the standard deviation

One particular case is the normal standard distribution denoted by:

$Z \sim N(0,1)$

Example: Usually this distribution is used to model almost all the practical things in the life one of the examples is when we can model the scores of a test. Usually the distribution for this variable is normally distributed and we can find quantiles and probabilities associated

Step-by-step explanation:

The Normal distribution is a continuous probability distribution with possible values all the reals. Some properties of this distribution are:

Is symmetrical and bell shaped no matter the parameters used. Usually if X is a random variable normally distributed we write this like that:

$X \sim N(\mu , \sigma)$

The two parameters are:

$\mu$ who represent the mean and is on the center of the distribution

$\sigma$ who represent the standard deviation

One particular case is the normal standard distribution denoted by:

$Z \sim N(0,1)$

4 0

4 years ago