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3 years ago

Which of these is equivalent to the expression below when x = 3?

Mathematics

1 answer:

Mazyrski [523]3 years ago

8 0

Step-by-step explanation:

4 is the correct option...

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The golden ratio is a solution to a quadratic equation.

Crank

Answer:

Below.

Step-by-step explanation:

a. Φ^2 − Φ − 1 = 0

Φ2 − Φ = 1

(Φ - 0.5)^2 - 0.25 = 1

(Φ - 0.5)^2 = 1.25

Φ - 0.5 = √(1.25) (We only take the positive root).

Φ = 0.5 + √(1.25)

b. I used Completing the square.

c. Φ is irrational That is it cannot be represented as a fraction a/b and because of this it can only be approximated by a decimal.

6 0

3 years ago

What x-value makes the set of ratios equivalent? Tiles 2 : 3 = 6 : x ,4 : 7 = x : 42 , 2x : 48 = 3 : 12, 12 : 15 = x : 20

Naya [18.7K]

Step-by-step explanation:

2 : 3 = 6 : x ,

Ratio can be written as

$\frac{2}{3} = \frac{6}{x}$

2*3 = 6, we multiply top and bottom of fraction by 3

$\frac{2*3}{3*3} = \frac{6}{9}$

So value of x=9

4 : 7 = x : 42 ,

$\frac{4}{7} = \frac{x}{42}$

7*6 = 42, we multiply top and bottom of fraction by 6

$\frac{4*6}{7*6} = \frac{24}{42}$

So value of x=24

2x : 48 = 3 : 12,

$\frac{2x}{48} = \frac{3}{12}$

\frac{3}{12}[/tex] = $\frac{2x}{48}12*4 = 48, we multiply top and bottom of fraction by 4[tex]\frac{3*4}{12*4} = \frac{12}{48}$

2x= 12, so x= 6

12 : 15 = x : 20

$\frac{12}{15} = \frac{x}{20}$

$15 * \frac{4}{3} = 20$ ,

we multiply top and bottom by 4/3

$12 * \frac{4}{3} = 16$

So value of x=16

4 0

3 years ago

Read 2 more answers

ANSWER FAST!

salantis [7]

Answer:C

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

The original price of a ski jacket was $220. It was on sale at a 25% discount. Arianna had a coupon for an additional 10% off th

Simora [160]

$143
add the two discounts of 25 and 10 percent. then your item will be 65% of the price now.

5 0

3 years ago

Hello can you please help me posted picture of question

vagabundo [1.1K]

We are to select 2 people to sit in first row from 6.

This is a problem of Combinations. We are find permutation of 6 people taken 2 at a time. This can be represented as 6C2.

$6C2= \frac{6!}{4!*2!} \\ \\=15$

So, the answer is option B

7 0

3 years ago