[tex]x(x^{2} +2x +4) -( x^{2} +2x + 4) . 2=0[/tex]

[tex]\dfrac{10}{1+2i}\\\\\\=\dfrac{10(1-2i)}{(1+2i)(1-2i)}\\\\\\=\dfrac{10-20i}{1 - (2i)^2}\\\\\\=\dfrac{10-20i}{1+4}~~~~~;[i^2 =-1]\\\\\\=\dfrac{10-20i}5\\\\=\dfrac{10}5 - \dfrac{20i}5\\\\=2-4i[/tex]

Answer:

y=15

Step-by-step explanation:

Answer:

  $30

Step-by-step explanation:

If x is the cost of a lesson, the total cost of Jodie's purchase is ...

  cost of lessons + rental cost = total cost

  12x + 25 = 385

  12x = 360 . . . . . . . subtract 25

  x = 30 . . . . . . . . . . divide by 12

Each violin lesson costs $30.

Answer:

Step-by-step explanation:

Given,

Back of lot of the trapezoid = 175

Front of lot of the trapezoid = 185

Length of lot of the trapezoid = 100

Therefore,

Area of the given trapezoid

[tex] = \frac{a + b}{2} c[/tex]

[tex] = \frac{175 + 185}{2} \times 100[/tex]

= 360 × 50

= 18000

Hence,

The required area of the given trapezoid is 18000 (Ans)

Explanation:

There are 4 jacks (one of each suit) and 13 clubs. This gives 4+13 = 17 cards that are either jack or club. However, we double-counted the jack of clubs which means there are really 17-1 = 16 cards that are one or the other or both.

This is out of the 52 total mentioned. So we end up with the probability:

16/52 = (4*4)/(4*13) = 4/13

Answer:

$200

Step-by-step explanation:

20% =$40; Since 5x20%=100% just multiply 5x $40 to get the total (before discount) cost of $200

Answer:

  B) √a

Step-by-step explanation:

The applicable rules of exponents are ...

  (a^b)(a^c) = a^(b+c)

  √a = a^(1/2)

  (a^b)/(a^c) = a^(b-c)

__

A) (a^(1/8))(a^(1/8)) = a^(1/8+1/8) = a^(1/4)

B) √a = a^(1/2) . . . . . . . . . . . . . not equal to a^(1/4)

C) a^(3/4)/a^(1/2) = a^(3/4-1/2) = a^(1/4)

D) (a^(1/8))^2 = a^(1/8+1/8) = a^(1/4) . . . . . same as (A)

Answer:

x = -9

I'm not sure if you were looking for a solution to x but I hope this helps :)

Answer:

19. 7, 20. 4, 21. 1

Step-by-step explanation:

19. 21 = 3 x 7, 49 = 7 x 7, So they both share 7

20. 8 = 2 x 2 x 2, 52 = 2 x 2 x 13, they both have 2 x 2

21. 32 = 2 x 2 x 2 x 2 x 2, 81 = 3 x 3 x 3 x 3, they have nothing in common, so they share a 1.

Answer:

To calculate the ratio of an amount we divide the amount by the total number of parts in the ratio and then multiply this answer by the original ratio. We want to work out $20 shared in the ratio of 1:3. Step 1 is to work out the total number of parts in the ratio. 1 + 3 = 4, so the ratio 1:3 contains 4 parts in total.

Step-by-step explanation:

Step-by-step explanation:

hope it will help you a lot.......

Answer:

x = 19

Step-by-step explanation:

Step-by-step explanation:

6x + 5x - 6 = 32 + 9x

11x - 6 = 32 + 9x

Bringing like terms on one side

11x - 9x = 32 + 6

2x = 38

x = 38/2 = 19

Answer:

x = (-b ± √b² - 4ac)/2a

Step-by-step explanation:

1 cause the zero is where the line crosses at the x axis

Answer:

27-9= 18

Step-by-step explanation:

Erin's total shells is 27, her total is 9 more shells than Jamie has. Thus you subtract 9 from 27 to get the number of shells Jamie collected.

Answer:

200.4002 pounds

Step-by-step explanation:

Answer:

The answer is 200.4002

If you have to round to the nearest thousandth then it is 200.400

If you have to round to the nearest hundredth then it is 200.40

If you have to round to the nearest tenth then it is 200.4

Answer:

Step-by-step explanation:

go to the store

Divide distance by time

Truck : 333/6 = 55.5 miles per hour

Car: 210/4 = 52.5 miles per hour

Answer:

Below.

Step-by-step explanation:

Speed of truck = 333/6 = 55.5 mph.

Speed of car = 210/4 = 52.5 mph.

Answer:

t = 12.5

Step-by-step explanation:

Assuming you typed the equation correctly:

-2(t-4) = 10 - 27

-2(t-4) = -17

t-4 = 8.5

t = 12.5

So, there's only one solution

The carolers would meet first at the 24th house.

In order to determine in which house the carolers would meet, the multiple of 6 and 8 have to be determined. They would first meet at the first common multiple of 6 and 8.

A multiple of a number is the product of an integer and that number.

To learn more about multiplies, please check: https://brainly.com/question/10520264

Answer;

23:12

Step-by-step explanation:

The ratio between the US and Russia is 23:12

The quantitative relation between two amounts shows the number of times one value contains or is contained within the other. for example-"the ratio of computers to students is now 2 to 1"

Given here  US has 46 and Russia has 24 and thus the ratio is

46:24=23:12

Hence, the required ratio is 23:12

Learn more about ratios here:

https://brainly.com/question/13419413

#SPJ2

Answer:

-1.3, 8.3

Step-by-step explanation:

Based on the graph below, the solutions are -1.3 and 8.3.

Answer:

#9. y = -250x

#10. y = -2500, x = 100

Step-by-step explanation:

y = mx +b

y: y-value

m: slope

x: x-value

b: y-intercept

since your answer for #8 is -250, the slope would be -250 or m would be -250

y = -250x+b

now to solve for b, we take one of the points and plug it in, any works, but we'll use (1,-250)

plug in the points

-250 = -250(1)+b

solve for b

b = 0

thus the equation is y = -250x + 0 or y = -250x

#10 plug in x values and y values into equation to get answer

x = 10 -> y = -250(10) = -2500

y = -25,000 -> -25,000 = -250x

x = -25,000/-250

x = 100

Answer:

Step-by-step explanation:

The answer is "Impossible to solve" , because there is no rule for function at point x = 7 . The given function has domain ( - ∞ , 2 ) ∪ { 2 } ∪ ( 2 , 7 ) ⇒ 7 is not a part of domain!!!

888.125 is the answer just use your calculator

Answer:

Step-by-step explanation:

888.13

Answer:

1 1/12

Step-by-step explanation:

Make 1 5/6 improper fraction ( 1 times 6, then add 5 = 11)

Find common denominator, which is 24

6 times 4 equals 24; 11 times 4 equals 44

4 times 6 equals 24; 3 times 6 equals 18

44/24 - 18/24 (subtract only top numbers (44-18) = 26

26/24 simplified is 13/12 or 1  1/12

Hope it's right :)

Answer:

81 ounces

Step-by-step explanation:

Divide 54 by 18 to find the weight of 1 plum then multiply this by 27.

54 ounces ÷ 18 = 3 ounces , then

27 plums = 27 × 3 = 81 ounces