HELLLLPP I NEED HELP

Given:

The given equation is

[tex]2x^3-3x^2+18x-27=0[/tex]

To find:

All the real solutions.

Solution:

We have,

[tex]2x^3-3x^2+18x-27=0[/tex]

It can be written as

[tex]x^2(2x-3)+9(2x-3)=0[/tex]

[tex](2x-3)(x^2+9)=0[/tex]

Using zero product property, we get

[tex](2x-3)=0[/tex] and [tex](x^2+9)=0[/tex]

[tex]2x=3[/tex] and [tex]x^2=-9[/tex]

[tex]x=\dfrac{3}{2}[/tex] and [tex]x=\pm\sqrt{-9}[/tex]

We know that [tex]x=\pm\sqrt{-9}[/tex] is an imaginary number because there is a negative sign under the square root.

Therefore, [tex]x=\dfrac{3}{2}[/tex] is the only real solution of the given equation.

Answer:

See below.

Step-by-step explanation:

Part A:

For Dog walking, he earns $30 for 5 hours of work.

He earns $36 for 6 hours of work.

$30/5 hours = $6/hour

$36/6 hours = $6/hour

He earns $6/hour dog walking.

For 8 hours, he earns 8 hours * $6/hour = $48

To earn $66, he works 66/6 = 11 hours.

5 30

6 36

8 48

11 66

Part B:

He earns $7/hour for yard work, so multiply the number of hours by 7 to find the money he earns.

Table for yard work

Hours     Money

5             $35

6             $42

8             $56

Part C:

For 5 hours, he earns $35 for yard work and $30 as a dog walker.

$35 - $30 = $5

Answer:

y = 10x + 75 If not then

X = 10y + 75

Answer: C (324)

Step-by-step explanation:

He is making $54 a day working 6 hours a day. 54 x 6 = 324 meaning in 6 days he would make $324.

Answer:

C. 324 thats the answer my cousin solved this

Answer:

Step-by-step explanation:

Given the length and width of a square to be 12

If the of the square is dilated by a factor of 1, this means that the value will be multiplied by 1 as shown;

New width = Old width * 1

New Width = 12 * 1

New width = 12

Hence the width of the new image will also be 12

Step-by-step explanation:

the answer is B. lines 1 and 3 are perpendicular

Answer:

She can ride 12 rides i think if not let me know!

Step-by-step explanation:

32 - 8 then 24 divided by 2

Answer:

Hi! Your answer is 14 = 2

Step-by-step explanation:

Evaluate

Answer:

16 (well, more like 15.99)

Step-by-step explanation:

[tex] \sqrt{((200.96 \times 4) \div 3.14)} [/tex]

Answer:

x = 63.5 degrees

Step-by-step explanation:

use sine:

sine = [tex]\frac{opposite}{hypotenuse}[/tex]

sine x = [tex]\frac{17}{19}[/tex]

sine x = 0.8947

sine-1 of 0.8947 = 63.4699

x = 63.4699

round to the nearest tenth:

x = 63.5

Answer:

he depends on the 12th week because he ran more miles

Step-by-step explanation:

8<10<13<17

Answer:

NO. B is the answer

Step-by-step explanation:

because there are two of the same x values, causing there to not form a straight line.

Hope this helped! Have a nice day! Plz mark as brainliest!!! :D

-XxDeathshotxX

Step-by-step explanation:

hope it helps you

mark me as brainliest

Answer:

z = 124 degrees

Step-by-step explanation:

If it is a parallelogram, opposite angles are congruent. So, z = 124 degrees

Answer:

opposite angles are equal so z=124°

Answer:

The answer is A

Step-by-step explanation:

Start at 12 and add 6 every year:

12 + 6 = 18

18 + 6 = 24

24 + 6 = 30

30 + 6 = 36

Answer:

23

I am like 80% sure that this is right

Answer:

108

Step-by-step explanation:

Step-by-step explanation:

(0,-3) and (1,0) this are the point

Answer:

6 miles

Step-by-step explanation:

1.5miles multipled by 4stops is 6

Answer:

[tex]Area=\frac{ab}{2} \\\\area=\frac{9.5.23}{2} \\\\answer=108.8 yd^{2}[/tex]

Step-by-step explanation:

I hope this helps ^_^

The area of the triangle is 108.7 square yards.

Let a, b, and c is the sides of the triangle.

The area of the triangle is given as

S = (a + b + c) / 2

[tex]\rm A = \sqrt{s(s - a)(s - b)(s -c )}[/tex]

The third side of the triangle will be

c² = a² + b² - 2ab cos θ

c² = 9.5² + 23² - 2 × 9.5 × 23 × cos 85°

c² = 619.25 - 38.09

c² = 581.16

 c = 24.11 yd

Then the area of the triangle will be

S = (9.5 + 23 + 24.11) / 2

S = 56.61 / 2

S = 28.3

Then the area will be

[tex]\rm A = \sqrt{28.3(28.3 - 24.11)(28.3 - 23)(28.3 - 9.5)}[/tex]

Simplify the expression, then the value will be

A = √11815.01

A = 108.7 square yd

The area of the triangle is 108.7 square yards.

More about the area of the triangle link is given below.

https://brainly.com/question/19305981

#SPJ2

Answer:

The average distance between Earth and Pluto is same as average distance of Pluto from the Sun. This is 0.000628 light years, nearly.

Explanation:

The average distance obetween two planets is nearly the average distance of the outer planet from the Sun. Earth is inner to Pluto. Average Sun-Pluto distance = 5906.4 million km. Divide by 149597870 to get distance in Au. Further divide by 62900 to get distance in ly.

Answer:

x=5.5, -5.5

you can use a calculator too

Answer:

Number A.

Step-by-step explanation:

i just did this one lol

The system of equations that describes the problem situation is y=250+0.12x and y=475+0.08x. The correct option is D.

A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

Given that The first store will pay her a weekly salary of $250 plus a commission of 12% of her sales. Therefore, the equation can be written as,

Total earning = Weekly salary + 12% of weekly sales

y = 250 + 0.12x

Also, The second store will pay her a weekly salary of $475 plus an 8% commission. Therefore, the equation can be written as,

Total earning = Weekly salary + 8% of weekly sales

y = 475 + 0.08x

Hence, the system of equations that describes the problem situation is y=250+0.12x and y=475+0.08x.

Learn more about Percentages here:

https://brainly.com/question/6972121

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Answer:

a . 50

Step-by-step explanation:

L + 40 + 90 = 180

L + 130 = 180

L = 180 - 130

L=50