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.
For net shown, the 5 in x 2 in . in rectangles represent the bases of a solid .
a . use scratchpad or a piece of paper to highlight the perimeter of the lateral area on the net .
b. use scratchpad or a piece of paper to draw a solid to represent the net .
c. indicate the type of solid . _______
d. the solids surface area is ________ in 2 .
i need help will mark brainliest
Answer:
16.5
Step-by-step explanation:
a^2 + b^2 = c^2
what is 94+60+2x, I need the answer like right now.
Answer:
2x+154 or 2(x+77)
Step-by-step explanation:
This is an expression as there is no equal sign. So you can't solve for x
please someone awnser this asap
Answer:
6.2
Step-by-step explanation:
6*6*5.1/3
Answer:
If I'm not mistaken that would be A.
Step-by-step explanation:
I haven't done this since 6th and 7th grade and I'm in 8th. I think you're supposed to multiply the base 4 times by 6 giving you 72 then multiply it by 5.1 and divide it by 2 that would give you that answer.
Judy will use 2 1/2 cups of flour for each cake she bakes judy has 10 cups of flour what is the maximum number of cakes judy can bake
Answer:
4 cakes
Step-by-step explanation:
geometry solve for x
Answer:
x = 74 degrees
Step-by-step explanation:
If we assume that this triangle is isosceles, then the sum of the two angles at the bottom is (180 - 32) degrees, or 148 degrees. The angle x is half that, i. e., x = 74 degrees
JKLM is a rectangle. if JL = 4x - 12 and MK = x, what is the value of x? what is the length of each diagonal?
Answer:
x = 4
The diagonals are both 4
Step-by-step explanation:
The fact that the two sides have no letter in common indicates that they are opposite each other or a diagonal. In this case the length is a diagonal. Diagonals in a rectangle are equal.
4x - 12 = x Add 12 to both sides
4x - 12 + 12 = x + 12 Subtract x from each side
4x - x = 12
3x = 12 Divide by 3
3x/3 = 12/3
x = 4
One of the diagonals = 4 because it is x.
The tape diagram represents an equation.
I will give you a brainlist
PLEASE HELP ME ASAP!
The difference between three times a number and the sum of twelve squared plus ninety-two equals five hundred fourteen.
Answer:
Number = 250
Step-by-step explanation:
Let x = "a number"
Difference means subtraction:
3x - (12^2 + 92) = 514
3x = "three times a number"
12^2 + 92 = "the sum of twelve squared and ninety two"
Solve from there.
Please someone help with this math problem!!!!
At Putt Putt, they offer a special for unlimited mini golf. You decide to go golfing with your friends. After golfing and purchasing lots of food, you end up spending $50. In total you leave Putt Putt with $5. Let s represent the amount of money you started with.
Part 1: Write an equation involving s
Part 2: Solve for how much money you brought to Putt Putt.
Answer:
part 1: a-50=5. a=55
Step-by-step explanation:
because fifty five minus 50 is equal to 5
Pls help will mark brainliest
Answer:
750
Step-by-step explanation:
What would the cross sections be of a triangular prism cut diagonally NOT through the base?
A circle
B ellipse
C rectangle
D square
E trapezoid
F triangle
Answer:it might be (F)
Step-by-step explanation:
Tell me if I’m right or wrong
Which expressions could be used to find the distance between points (-2, 8) and (7, 13) on a coordinate plane
Answer:
Step-by-step explanation:
Note how the stretch from x = -2 to x = 7 could be regarded as the horizontal leg of a right triangle (9 units in length), and that from y = 8 to y = 13 the vertical leg (5 units in length). We need to find the length of the hypotenuse of this triangle, using the Pythagorean Theorem:
d = √(5² + 9²) = √106, or approximately 10.3 units.
4. If the area of a semi-circle is 100.48 square inches, what is the radius
of the circle ? *
A) 16 inches
B) 8 inches
C) 4 inches
D) 2 inches
Round 2.77247497243 to the nearest millionth.
Answer: 2.7725
Step-by-step explanation:
Answer:
2.7725
Step-by-step explanation:
Eli made 2 peanut butter and jelly sandwiches and cut each one into fourths. How many 1/4 sandwich pieces did Eli have?
If Eli cut both pieces into 4th's, in all they would have 8 4th's.
Because 4 + 4 + 8 :)
A store wants to display 45 boxes of plates. Each shelf can fit 6 boxes of plates. The store will display as many boxes on each shelf as possible.
How many shelves does the store need to display all the boxes?
Answer: 7
Step-by-step explanation: because 45 divided by 6 is 7.5
simplify fully 7x+5y-3x-8y
Answer:
4x-3y
Step-by-step explanation:
Step-by-step explanation:
7x+5y-3x-8y
7x-3x+5y-8y
4x-3y
What is the measure of angle x?
PLEASE HURRY!!!
An airplane can seat up to 175 passengers. The airline has already sold 87 tickets for a flight on the airplane. Which graph represents the solution to the inequality that finds the number of tickets the airline can still sell?
Everybody is saying its c but it says its wrong on edge 2021
Answer:
C
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
1 NEED HELP ASAP WILL GIVE BRAINLY
Answer:
c
Step-by-step explanation:
I believe its c I've done this last semester
HELP WHAT PERCENT IS THE SALES TAX????
Answer:
first one is 6 cents(6 percent) second one 14 cents (14%)
Step-by-step explanation:
is just didviding them
Please help asap! The numbers for the graph have to be whole! (Can’t be .5)
what is the solution to the system of equations? please help im struggling really bad ):
Answer:
[tex] - 11 \frac{1}{2} [/tex]
Step-by-step explanation:
8x + 5y = 7
4x - 5y = 11
If you all it all up we have
8x + 4x +5y - 5y = 18
12x=18
x=18/12=1.5=3/2 = 1 whole number 1 over 2(1 1/2)
subtituting the value of x into equation 1(8x + 5y = 7)
8(1.5) + 5y = 7
5y=7-12
5y = -5
y=-5/5
y= -1
15 points!!!! Find the value of x.
102
54
6x
O A. 8
B. 6
O C. 17
D. 9
Answer:
A. 8
Step-by-step explanation:
Given,
54° + 6x° = 102°
=> 6x = 102 - 54
=> 6x = 48
[tex] = > x = \frac{48}{6} [/tex]
=> x = 8(Ans)
Please help me
The sales tax for an item was $25.20 and it cost $420 before tax.
Find the sales tax rate. Write your answer as a percentage.
Answer:
25.20/420=.6=6%
Step-by-step explanation:
Did you sleep with a comfort object as a child? Do you still? No
need to stuff that teddy bear from your infant years in your closet the
next time you have a guest over—the odds are good that he or she has
a comfort object, too. A study conducted by Sleepopolis and
OnePoll reported that 34% of adults still sleep with a stuffed animal,
blanket, or other sentimental object, according to a survey of a random
sample of 100 adults. A similar study, based on a random sample of 80
children reports that 75% of children sleep with a comfort object.
Do these data provide convincing evidence that the proportion of adults
who sleep with a comfort object is less than the proportion of children
who sleep with a comfort object? Justify your answe
Answer:
depends how random it was, it could vary between countries and stuff. but lets say its random between ethnicities. I think it doesn't really have enough people to be sure, I would say a thousand and not 100, but that's just me.
30i -10/-25.....??? i am literally so confused- supposed to simplify to the form a + bi
Answer:
2/5 +30i
Step-by-step explanation:
what is 2.006 + 6.001?
2.006
+ 6.001
__________
8.007
So, therefor, the answer is 8.007.