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2 years ago

Solve the proportion

Mathematics

1 answer:

Vinvika [58]2 years ago

3 0

Answer:

1. (3/2)

2. (20)

3. (3)

4. (-9/5)

5. (-8/7)

6. (-2/3), (4)

Step-by-step explanation:

1. 2. 3. 4.

x 3 12 3 x 1 x + 3 3

/ = / / = / / = / / = /

4 8 x 5 9 x 2 5

8x = 12 60 = 3x x² = 9 5x + 15 = 6

÷8 ÷8 ÷3 ÷3 x = √9 -15 -15

5x = -9

x = (3/2) x = 20 x = 3 ÷5 ÷5

x = (-9/5)

5. 6.

4 - x 3 1 x - 3

/ = / / = /

12 7 2x + 1 9

28 - 7x = 36 9 = 2x^2 - 5x - 3

-28 -28 + 3 + 3

12 = 2x^2 - 5x

-7x = 8 -12 -12

÷-7 ÷-7

2x^2 - 5x - 12 = 0

x = (-8/7)

-b +-√b^2 - 4ac

/ = -(-5)√-5^2 - 4 (2)(-12)

2a /

2(2)

= 5-+√121 5 - 11 -6

/ = / = / = (-2/3)

-4 4 4

= 5 + 11 16

/ = / = (4)

4 4

I hope this helps!

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HELP ASAP PLEASE

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Answer:

a. median is 8

b. first quartile is 7

c. third quartile is 9.5

d. below

e. below

Step-by-step explanation:

7, 10, 10, 6, 7, 8, 8, 7, 9.

Place number in order least to greatest

6, 7, 7, 7, 8, 8, 9, 10, 10

a. What is the median?

The median is the middle number in a data set

number of terms in data set (n) + 1 / 2 =

9 + 1 / 2 = 10 / 2

6, 7, 7, 7, 8, 8, 9, 10, 10

The median is 8

b. What is the first quartile?

Q1 is the central point between the smallest score and the median

6, 7, 7, 7

since there is even number of data points you find the average,

7 + 7 / 2 = 14 / 2 = 7

c. What is the third quartile?

Q3 is the central point between the median and the largest score

8, 9, 10, 10

since there is even number of data points you find the average,

9 + 10 / 2 = 19 / 2 = 9.5

d. Draw a box plot of the data.

below

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2 years ago

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Answer-

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$\boxed{\boxed{y=\log_3 x}}$

Solution-

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$y=3^x$

We can get the inverse by interchanging he variable x and y among themselves and then separating each variables.

So in the inverse would be,

$\Rightarrow x=3^y$

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$\Rightarrow \log x=\log 3^y$

As,

$\log a^b=b\times \log a$

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