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2 years ago

Clayton is solving the equation 5x^2 = 20 – 12x with the quadratic formula.

Mathematics

1 answer:

Stolb23 [73]2 years ago

4 0

Answer:

$a=5, b=20, c= -12$

Step-by-step explanation:

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the units digit of a two-digit number is twice the tens digit. If the digits are reversed, the new number is 9 less than the ori

Anton [14]

Answer:

Step-by-step explanation:

Here is the correct and complete question: The units digit of a two-digit number is twice the tens digit. If the digits are reversed, the new number is 9 less than twice the original number. What is the original number?

Lets assume the original number be"10y+x". (x is unit digit and y is 10th digit)

∴ if number is reversed then resulting number be "10x+y".

As given: x= 2y

and $10x+y= 2(10y+x)-9$

Now, solving the equation to get original number.

$10x+y= 2(10y+x)-9$

Distributing 2 to 10y and x, then opening the parenthesis.

⇒ $10x+y= 20y+2x-9$

subtracting by (2x+y) on both side.

⇒ $8x= 19y-9$

subtituting the value of "x", which is equal to 2y.

∴ $8\times 2y= 19y-9$

⇒ $16y=19y-9$

subtracting both side by (16y-9)

⇒ $3y= 9$

cross multiplying

We get, $y= 3$

y=3

∵x= 2y

$x=2\times 3= 6$

∴ x= 6

Therefore, the original number will be 36 as x is the unit number and y as tenth number.

6 0

3 years ago

To inspect manufacturing processes, companies typically examine samples of parts for deficiencies. One company that manufactures

marishachu [46]

Answer:

a. All measures exist

b. The Mean and the mode

c. Positively skewed

d. The mean and the median

Step-by-step explanation:

a. The frequencies of the data are;

1 2

2 4

3 1

5 2

6 3

9 1

11 1

14 1

15 1

18 1

The formula for mode is given as follows;

The mean = 108/17 = 6.35

The median of 1 1 2 2 2 2 3 5 5 6 6 6 9 11 14 15 18 = (n + 1)/2th term = 9th term

∴ The median = 5

The mode = 3×Median - 2 × Mean = 15 - 2 × 6.35 = 2.29

Hence all exist

The answer is none theses measures

b. Whereby 18 is replaced by 39 the mean will be then be

(108 + 39 - 18)/17 = 7.59

The median, which is the 9th term remain the same;

Hence only the mean and mode will be affected

c. Since more values are concentrated on the left side of the data distribution, the distribution is positively skewed

d. The largest measurement = 18 the 17th term

Removal will give

Mean = (108 - 18)/16 = 5.625 Mean changes

Median = (16 + 1)/2 th term = 8.5th term = 5 The median remains the same

The mode = 3(Mean - Median) changes

Therefore, the mean and the median will be changed.

6 0

3 years ago

What is the prime factorization of 154?

kap26 [50]

Answer:

C. 2 × 7 × 11

Step-by-step explanation:

2 × 7= 14

14 × 11= 154

8 0

2 years ago

Read 2 more answers

How many minutes is 40% of 2 hours

andrew11 [14]

1 hours is equal to 60 minutes.
2 hours = 120 minutes

40% is 120 minutes = 120*40/100 = 48 minutes

6 0

3 years ago

Two buses leave a station at the same time and travel in opposite directions. One bus travels12m/hrslower than the other. If the

Alex Ar [27]

distance = speed * time

the first bus speed = x

second bus = x - 12

the sum of distance = 765 miles

first distance = 6x

second distance = 6 (x -12)

6x + 6(x-12) = 765

x + x -12 = 127.5

2x = 139.5

x = 69.75 mi/h which is the faster bus

the second bus speed = 57.75 mi/h

6 0

1 year ago