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.
HELP i’m struggling pls
Auberys dinner cost $85 she tips the waitstaff 30% for excellent service. HOW much does aubery tip the waitstaff
Answer:
25.5
Step-by-step explanation:
Explanation
85×30%
Answer:
Aubrey tips the waiter $25.50.
Step-by-step explanation:
Heres the explination:
30/100 = 0.3
Then you have to multiply the decimal by $85.
0.3 * 85 = 25.5.
I hope this helps!
Please help
what is 2 x 1 1/2
Answer:
3
Step-by-step explanation:
2 times 1 is 2 and then multiply 1/2 by 2 and you'll get 1 then add those two numbers together and you will get 3. Note: The best way to do these types of things in multiplication is to split the numbers up among the decimal places so if you did 15 times 4 then an easy way to do it would be to split the 15 with 10 and 5 so then multiply the 10 by 4 and you get 40 now do the same to the 5 and you get 20 so now add those two numbers together and you get 60(This has nothing to do with the answer i just want to help make it easier for future problems such as this).
Answer:
3
Step-by-step explanation:
[Given]
2 * [tex]1\frac{1}{2}[/tex]
[Make improper fractions and solve by multiplying across]
[tex]\frac{2}{1}*\frac{3}{2} =\frac{6}{2}=3[/tex]
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
share 350m in the ratio of 3:7
Answer:
105 , 245
Step-by-step explanation:
Ratio = 3 : 7
3x , 7x
3x + 7x = 350
10x = 350
x = 350/10
x = 35
3x = 3*35 = 105
7x = 7 *35 = 245
Find the measure of the arc indicated. (Only type the number.) *
Answer:
61 degrees
Step-by-step explanation:
A function takes an input of the number
of light bulbs packaged in a day and
produces an output of the approximate
number of defective bulbs. Which
option best describes the domain of the
function?
Answer:
in the info given the domain would be the number of bulbs packaged in a day and the range would be the number of defective bulbs.
a polynomial contains number of terms
GIVING BRAINIEST IF RIGHT!! ANSWER FAST PLEASE
The table below shows the distance covered by a train over time.
Do the numbers in the table represent a proportional relationship? Why or why not?
A. No, because the ratios simplify to the same number.
B. Yes, because the ratios simplify to the same number.
C. No, because the ratios don't simplify to the same number.
D. Yes, because the ratios don't simplify to the same number.
Answer:
I think its B.) Yes, because the ratios simplify to the same number., sorry if it's wrong
Step-by-step explanation:
50/10 = 1/5
60/12 = 1/5
70/14 = 1/5
80/16 = 1/5
They all simplify to the same proportion.
A store owner has 7.41 lbs. of candy. If she puts the candy into 9 jars, how much candy will each jar contain with how much left over?
here is my question in a pic
Answer:
A
Step-by-step explanation:
because she said half of X so 1/2x and then +3 to that half
Answer:
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Muchii unui cub are lungimea de 16cm.Care este perimetrul unei freţe a cubului? va rog rapid dau coroana
Răspuns:
64 cm
Explicație pas cu pas:
Perimetrul fiecărei margini a unui cub:
4 * lungime laterală
Lungime laterală = 16cm
Prin urmare, perimetrul va fi:
4 * 16cm
= 64cm
What is the following product?
Answer:
the image is not opening
Answer:
The answer is the third one :)
Step-by-step explanation:
I don't know how to explain it sorry
the directions say, determine whether the triangles are similar by AA, SSS, SAS, or not similar if the triangles are similar write a valid similarity stating why (9, 10, 11, 12, 14, 15)
Answer:
9) ASA
10) SAS
11) SAS
12) SAS
13) not similar
14) AA
15) not similar
Step-by-step explanation:
find the solution of given expression
[tex] \sqrt{365 \times 4 \times 365} [/tex]
Answer:
√{365×4×365}=√(365²×2²)=±(365×2)=±730
Answer:
[tex]\sqrt{365\cdot \:4\cdot \:365}=\sqrt{532900}[/tex]
[tex]=\sqrt{730^2}=730[/tex]
help me out, please. Thank you!
Answer:
a: 5
b: (0, -2)
c: 3
d: (0, 11)
Step-by-step explanation:
Hope this helps!
Please can i have the correct answer this is a important test
I will mark you brainliest
I just need part B only
Answer:
thin think back to wen you were l lerning about it come on you can do it
HELP ME PLZ ILL MARK YOU BRAINLIEST!!! Find the answers to the following multiplication problems without using a calculator, Reduce
the product to their lowest terms and change improper fractions to mixed numbers,
4/16 x 5/8
Answer:
Ok I gotchu!
5/16 I think-
Step-by-step explanation:
Divide £90 in the ratio 4:1
Answer:80:10
Step-by-step explanation:
1=20 4=80
Question 7 of 17
The following figures show the first two steps of a proof of the Pythagorean
theorem. Which of the following statements about this proof is false?
A. The areas of the figures in step 1 and step 2 are equal.
B. Rotating the triangles does not change their areas.
C. The area of the figure in step 1 is (a + b)2.
D. The triangles created in step 2 have the same area.
Answer:
C
Step-by-step explanation:
(a+b)^2 = (a+b) (a-b)
which isn't a^2 +b^2
Will give brainliest if correct
Find the area of this triangle.
Round to the nearest tenth.
22 m
15 m
115°
11 m
[?] m2
Hint: Area of a Triangle = {ab sin(C)
Enter
Answer:
74.6
Step-by-step explanation:
The area of the given triangle in the image is 74.8m².
What is a triangle?A triangle is simply a polygon with three vertices with three edges.
A scalene triangle is the triangle with no equal sides and angles.
It area can be calculated using the expression;
A = 1/2 × absinθ
Given the data in question;
Length of side a = 15mLength of side b = 11mLength of side c = 22mAngle C = 115°
To determine the area of the triangle, we substitute our given values into the expression above.
A = 1/2 × absinθ
A = 1/2 × 15m × 11m × sin( 115° )
A = 0.5 × 15m × 11m × 0.9063
A = 74.76975m²
A = 74.8m²
Therefore, the area of the given triangle in the image is 74.8m²
Learn more about area of triangle here: https://brainly.com/question/19305981
PLEASE HELP QUIKLY THIS IS DUE TODAY I WILL GIVE U POINTS THE PICTURE TO THE PROBLEM IS BELOW!!!! Ms. Jackson wrote a question on the board. Then she collected student responses to the question and recorded them in a tally chart. What question could she have asked? Is there more than one possible response to the question? Explain
Answer:
Critical-thinking skills and knowledge of enviromental regulations, 71 A or -15/2
Step-by-step explanation:
[tex]3x-2y=222x+5y=2[/tex]
What are the missing side lengths in triangle PQR? And how did you find that answer pleaseee helppp!!
What is the area of the shape ?
Answer:
the area is C. 39
Step-by-step explanation: If you split them into there own shapes and add them at the end.
2 x 6 = 12
3 x 5 = 15
3 x 4 = 12
12 + 12 = 24
24 + 15 = 39
hope this makes sense
Please help what is I need it for school 4/5 + 3/7 x 2
Answer:
[tex]\frac{58}{35}[/tex] is the answer.
Step-by-step explanation:
1) Use this rule: [tex]\frac{a}{b} * c = \frac{ac}{b}[/tex]
[tex]\frac{4}{5} + \frac{3*2}{7}[/tex]
2) Simplify 3 * 2 to 6.
[tex]\frac{4}{5} + \frac{6}{7}[/tex]
3) Simplify.
[tex]\frac{58}{35}[/tex]
Therefor, the answer is 58/35 and if you need it on decimal form it would be, 1.657143.
Hannah buys ice cream and onions at the store
She pays a total of 35.16
She pays a total of 4.44 for the ice cream
She buys 6 bags of onions that each cost the same amount
Write and solve an equation which can be used to determine x, how much each bag of onions costs
Answer:
x=5.12
Step-by-step explanation:
35.16= 4.44+6x
30.72=6x
5.12=x
x=5.12
Hope this helps :)
( –2x – 14x2) – ( 10x – 2) + 2(10x3 – 3)
Answer:130
Step-by-step explanation:\
2. In Ella's math class, there are 12 girls and 15 boys. Which of the following is the ratio of boys to girls in Ella's math class?
A 12/27
B 12/15
C15/12
D27/12
Answer:
C. 15/12
Step-by-step explanation:
15 boys and 12 girls
Answer:
b
Step-by-step explanation:
12/15
-picture attached. A coke is formed from a paper circle with a sector removed as shown. the radius of the paper circle is 40cm The angle AOB is 110° calculate the circumference of the base of the cone.
Urrrrrrrrrrrrrrerrrrrr