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.
Suppose f(x)=x^2 what is the graph of g(x)=f(2x)
i have seen other descriptions saying that you should substitute 2x into the equation, but where does that 2x come from and what is next?
Answer:
Since g(x) = f(2x), this means we substitute 2x in place of x for f(x):
g(x) = f(2x) = (2x)² = 4x²
Graphing this, the parabola is not moved from the parent graph f(x) = x², but the graph is compressed horizontally by a factor of 4.Step-by-step explanation:
Question 5 of 5
What is the slope of the line through (0, 4) and (3, -2)?
10.4
O A.-2
c
B. 2
O c.
Answer:
M = -2
Step-by-step explanation:
Your answer is -2
SOMEONE PLS HELP!!! ITS DUE !!!
Answer:
d we cannot compare it volume to bh cubic inches
Which of the following equations does not represent a linear relation?
a) y = 4x^2 - 7
b) y = 3x + 45
c) 4x - 3y = 8
d) 10x = 5y - 2
what is the answer to this question?
Answer:
your answer will be option B
you are right
Step-by-step explanation:
have a nice day!!
I need a lot of help please answer right !
Answer:
$16
Step-by-step explanation:
Answer:
Estimate: $16
Exact amount: $15.98
Step-by-step explanation:
To find the estimate amount of money she has left, we will add everything up and subtract it from $45.12.
$7.89 + $21.25 = $29.14
$45.12 - $29.14 = 15.98
Now lets round your answer to $16. Therefore, the estimated amount that she has left is $16. And based on the calculations above, we can see that the exact amount of money she has left is $15.98.
A scientist is growing bacteria. The number of bacteria cells doubles every week. The scientist begins with 30 cells. Write an expression to find the number of cells after x weeks .
Answer:
2x+30
Step-by-step explanation:
Express 0.0584401 correct to three decimal places.
Answer: __________________________________ ( /1)
b) How many significant figures are there in your answer?
Answer: __________________________________ ( /1)
c) Estimate the value of the given expression to one significant figure.
Answer: __________________________________ ( /2)
d) Express 560 cm2 in km2.
Answer: __________________________________ ( /1)
2. a) Write the next two terms of the following sequence and write the rule. ( /3)
11, 15, 19, 23, 27, ______, ______
Rule: ___________________________________________________
b) Write an example of a Fibonacci sequence.
__________________________________________________________ plz no ans wrong or report
Answer:
A) 5.84
B) 3 significant figure
C)5.8
D)0.0056
2.A) 31 , 35
Type your response in the box.
Identify the purpose of the video and note the similarities between it and Twain's essay "Taming the Bicycle."
Answer:
i need the text.
Step-by-step explanation:
The video’s purpose is to instruct the viewer on the steps involved in learning how to ride a bicycle. The video has a few similarities to Twain’s essay. Both describe the process of learning how to ride a bike in a humorous way.
PLEASE ANWSER FOR ME FAST SHOW WORK PLS!!!
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
Find the equation of the line.
Use exact numbers.
Answer:
[tex]y = \frac{3}{6}x - 3[/tex]
help me please I need help
solve x - 12 = 7 using algebraic operations
Answer:
19
Step-by-step explanation:
Add 12 to each side: -12 + 12 = 0, 7 + 12 = 19I hope this helps!
1. Look at the following correlation scatter plot. What type of a correlation is it?
a. Negative correlation
b. Positive correlation
c. Zero correlation
d. All of the above
Scatter plot is missing, so i have attached it.
Answer:
C : zero correlation
Step-by-step explanation:
A correlation is said to be negative between two variables when they are related in such a manner that when one variable increases, the other variable decreases and vice versa.
However, a correlation is said to be Positive when one variable increases as the other increases as well and vice versa which means they both move in the same direction.
However, in the image of the scatter plot attached, we see that it is neither positive or negative correlation as there is no clear visible relationship between the variables on the x and y axis.
Thus, we can say there is zero correlation.
f(x)=3(1.8) x growth rate
Answer:
f(x) will grow by 1.8 times for every x increment
Step-by-step explanation:
Answer:
f(x) grows 1.8 times for every x increment
Step-by-step explanation:
please help me complete this
https://easel.teacherspayteachers.com/activities/student/18109307
Answer:
can't see the question love
8.sınıf matamatikten hic anlamıyorum yardım edin
Answer:
same
Step-by-step explanation:
What is the volume of a prism with the hieght 8, base 4 and length 2?
There are 20 students in the drama club. Next year, 5 students will leave the drama club and some students will join. If d is the number of students who will join the drama clibz write an expression to represent the total number of students in the drama club next year.
The expression showing the number of students in the drama club the next year is 15+d.
What is an expression?Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.
Given that, there are 20 students in a drama club,
5 of them will leave in next year, and d students will join,
We are asked to construct an expression to represent the total number of students in the drama club next year.
So, the present number of students in the club = 20
After next year = 20-5 = 15
After the joining = 15+d
Hence the expression showing the number of students in the drama club the next year is 15+d.
Learn more about expression, click;
https://brainly.com/question/14083225
#SPJ2
A weather station on the top of a mountain reports that the temperature is currently 0 and has been falling at a constant rate of 3 degrees per hour. Find each temperature. What was the temperature: 1 hour ago? degrees 3 hours ago? degrees
Answer:
Because I SAVAGE
GK IT"S WRONG AHAHHAHHAHA
Neal buys a board game. He pays for the board game and pays $1.54 in sales tax. The sales tax rate is 5.5%.What is the original price of the board game, before tax?
Answer:
28
Step-by-step explanation:
1.54 divided by 0.055 = 28
Benito received a $100 gift card to his favorite coffee shop for his birthday every week he goes to the coffee shop and spends $5 on a drink.
A. Write an equation to represent the relationship between the amount of m money remaining on Benito’s gift card and the number of w weeks.
B. How many weeks will it be when Benito has only $15 remaining on his gift card?
$100- $5w= M
17 weeks is when he'll have 15
a square tablecloth is 160cm along each side. it hangs over the table edge 30cm on each side.
a) what is the area of the tablecloth?
b) what is the area of the table?
Find the approximate perimeter of AABC plotted
below.
A(2,7)
C(6,7)
B(-4,-3)
Answer:
29.8 units
Step-by-step explanation:
Answer:
29.8
Step-by-step explanation:
Water freezes at 0 degrees Celsius. A student discovered that adding half a cup of salt to a gallon of water lowers its freezing temperature by 7 degrees Celsius. What is the freezing temperature of the gallon of salt water?
Answer:
-7°C
Step-by-step explanation:
Freezing point of water = 0°C
By adding salt, freezing point lowers by 7°C ;
The freezing point of salt water can be expressed as ;
Since temperature lowers :
Freezing point of salt water :
Freezing point of water - 7°C
0°C - 7°C
= - 7°C
solve this equation -3/4x + 6 > -3=
Answer:
[tex]x\leq 0 or x \geq \frac{1}{12}[/tex]
-6n-2n=16
This isn't urgent
Answer:
n = -2
Step-by-step explanation:
[tex] - 6n - 2n = 16[/tex]
➡️ [tex]( - 6 - 2)n = - 8n[/tex]
➡️ [tex] - 8n \div ( - 8) = 16 \div ( - 8)[/tex]
➡️ [tex]n = 16 \div ( - 8)[/tex]
➡️ [tex]n = - 16 \div 8[/tex]
➡️ [tex]n = - 2[/tex]
Does the line passing through the points (3, 3) and (7, 11) intersect the line passing through the points (5, 8) and (13, 24)?
No
Because they are parralel
Work out the cheapest way to buy 48 cans of cola
Answer:
Where is the image? I did something like this so if you are looking for that answer they are both the first one.
PLS HELPPP I WILL GIVE U A GOOD REVIEW AND BRAILLIETS
Find the slope and the y-intercept of the line in the graph.
6 G
4
3
2
1
0
-1
-2
-4
-5
6
-9
-9 8 7 6 5 4
-2 -1 0 1 2
The slope is
The y-intercept is
Answer:
slope=1 y-intercept=5
Step-by-step explanation:
there isn't much to it, but if you want me to show my work I will