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2 years ago

Distribute and simplify the radicals below.

Mathematics

1 answer:

erastovalidia [21]2 years ago

8 0

The simplified expression of (√12+6)(-√8-√2) is -6√6 - 18√2

<h3>How to simplify the radical?</h3>

The expression is given as:

(√12+6)(-√8-√2)

Factor out -1

(√12+6)(-√8-√2) = -(√12+6)(√8+√2)

Expand the expression

(√12+6)(-√8-√2) = -(√96 + 6√8 + √24 + 6√2)

Evaluate the radicals

(√12+6)(-√8-√2) = -(4√6 + 12√2 + 2√6 + 6√2)

Evaluate the like terms

(√12+6)(-√8-√2) = -(6√6 + 18√2)

Open the bracket

(√12+6)(-√8-√2) = -6√6 - 18√2

Hence, the simplified expression of (√12+6)(-√8-√2) is -6√6 - 18√2

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The Jurassic zoo charges $12 for each adult admission and $7 for each child. The total bill for 129 people was $1088. How many a

nata0808 [166]

There were 155 kids at the zoo & 90 adults 1088÷7=155 1088÷12=90

5 0

4 years ago

which relation is a function? a. x −2 0 0 2 4 y 4 3 4 4 6 b. x 3 5 7 10 14 y 9 6 9 2 3 c. x −3 2 2 4 6 y 2 1 8 5 3 d. x −6 −1 1

Travka [436]

Option a is not a function because for x = 0, y = 3 and 4.
option b is a function.
option c is not a function because for x = 2, y = 1 and 8.
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6 0

3 years ago

Read 2 more answers

Como Determinar a equação da reta que passa pelos pontos A(-1, -2) e B(5,2)

Komok [63]

Answer:

A equação da reta é dada por: $y = \frac{2}{3}x - \frac{4}{3}$

Step-by-step explanation:

Equação de uma reta:

A equação de uma reta tem o seguinte formato:

$y = ax + b$

Em que a é o coeficiente angular e b é o coeficiente linear.

Coeficiente angular:

Com posse de dois pontos, o coeficiente angular é dado pela mudança em y dividida pela mudança em x.

A(-1, -2) e B(5,2)

Mudança em y: 2 - (-2) = 2 + 2 = 4

Mudança em x: 5 - (-1) = 5 + 1 = 6

Coeficiente angular: $m = \frac{4}{6} = \frac{2}{3}$

Então:

$y = \frac{2}{3}x + b$

Coeficiente linear:

Substituindo um ponto na equação, encontra-se o coeficiente linear.

B(5,2)

Quando $x = 5, y = 2$ . Então:

$y = \frac{2}{3}x + b$

$2 = \frac{2}{3}5 + b$

$b = 2 - \frac{10}{3} = \frac{6}{3} - \frac{10}{3} = -\frac{4}{3}$

Então:

$y = \frac{2}{3}x - \frac{4}{3}$

8 0

3 years ago

How do i graph x+4y=8

Andrew [12]

Answer:

x = 8 y = 2

(8,2)

Step-by-step explanation:

You have to find the value of both x and y

x + 4y = 8

to find x you have to cancel out y so,

x + 4(0) = 8

x = 8

to find y you have to cancel out x

0 + 4y = 8

4y = 8

divide both sides by 4

y = 2

Hope this Helps!!!

6 0

3 years ago

Suppose a sample of 256 was taken from a population with a standard deviation of 96 centimeters. What is the margin of error for

astraxan [27]

Answer:

D. 6

Step-by-step explanation:

Here we are given that a sample of 256 was taken from a population with a standard deviation of 96 centimeters i.e. $\sigma$ = 96 and n = 256.

And we have to calculate the margin of error for a 68% confidence interval.

Firstly from z score% table we observe that at 32% level of significance the z score critical value is given by 0.99744 .

<em>And Margin of error formula is given by ;</em>

$Z_\frac{\alpha}{2}$ * $\frac{\sigma}{\sqrt{n} }$ = 0.99744 * $\frac{96}{\sqrt{256} }$ = 5.98

Approximately, we get Margin of error = 6.

3 0

3 years ago