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3 years ago

Factor by using the perfect-square trinomial 64x2 - 144x + 81

Mathematics

1 answer:

Tom [10]3 years ago

4 0

Answer:

the answer is -34

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3. Is the relation {(1,2), (3, 10), (2,8), (5,<br> 10)} a function?<br> a) yes<br> b) no<br> a

Sedaia [141]

Answer:

the answer is yes

Step-by-step explanation:

4 0

3 years ago

If you were given the function y=4x-3 and you had to find the Range, given the Domain: (1,3,5,7)

AysviL [449]

Answer:

option 4

Step-by-step explanation:

y = 4x-3

y = 4(1)-3

y = 1

y = 4(3)-3

y = 9

y = 4(5)-3

y = 17

y = 4(7)-3

y = 25

4 0

3 years ago

Find the variance of the following data. Round your answer to one decimal place. x 1 2 3 4 5 P(X=x) 0.3 0.2 0.2 0.1 0.2

Reptile [31]

The variance of a distribution is the square of the standard deviation

The variance of the data is 2.2

<h3>How to calculate the variance</h3>

Start by calculating the expected value using:

$E(x) = \sum x* P(x)$

So, we have:

$E(x) = 1 * 0.3 + 2* 0.2 +3 * 0.2 + 4 * 0.1 + 5 * 0.2$

This gives

$E(x) = 2.7$

Next, calculate E(x^2) using:

$E(x^2) = \sum x^2* P(x)$

So, we have:

$E(x^2) = 1^2 * 0.3 + 2^2* 0.2 +3^2 * 0.2 + 4^2 * 0.1 + 5^2 * 0.2$

$E(x^2) = 9.5$

The variance is then calculated as:

$Var(x) = E(x^2) - (E(x))^2$

So, we have:

$Var(x) = 9.5 - 2.7^2$

$Var(x) = 2.21$

Approximate

$Var(x) = 2.2$

Hence, the variance of the data is 2.2

Read more about variance at:

brainly.com/question/15858152

4 0

2 years ago

The equation X squared plus Y squared minus 2X plus 7Y +1 equals zero can be written as which of the following equations

ad-work [718]

For this case we must write in algebraic symbology the expression described above:

We have an equation, then:

x squared plus y squared: $x ^ 2 + y ^ 2$

minus 2x plus 7y plus 1: $-2x + 7y + 1$

equals zero: $= 0$

We construct the equation:

$x ^ 2 + y ^ 2-2x + 7y + 1 = 0$

Answer:

$x ^ 2 + y ^ 2-2x + 7y + 1 = 0$

6 0

3 years ago

Surface area in terms of pi?

Lunna [17]

$\bf \textit{volume of a sphere}\\\\ V=\cfrac{4\pi r^3}{3}~~ \begin{cases} r=radius\\ \cline{1-1} V=972\pi \end{cases}\implies 972\pi =\cfrac{4\pi r^3}{3}\implies 2916\pi =4\pi r^3 \\\\\\ \cfrac{2916}{4\pi }=r^3\implies 729=r^3\implies \sqrt[3]{729}=r\implies 9=r \\\\[-0.35em] ~\dotfill\\\\ \textit{surface area of a sphere}\\\\ SA=4\pi r^2\qquad \qquad \implies SA=4\pi (9)^2\implies \boxed{SA=324\pi }$

5 0

3 years ago