Answers
Answer: See below
Step-by-step explanation:
[tex]$$Find the possible rational roots using the rational root theorem:$$x^{3}+x^{2}-3 x+12=0$$Select the coefficient of the leading term and the constant term:$1 x^{3}+x^{2}-3 x+12=0$\\Find the positive divisors of 12 and 1: \\\\Divisors of $12: 1,2,3,4,6,12$\\Divisors of $1: 1$\\Divide each of the divisors of 12 by 1 :\\$\frac{1}{1}, \frac{2}{1}, \frac{3}{1}, \frac{4}{1}, \frac{6}{1}, \frac{12}{1}$2, \pm 3, \pm 4, \pm 6, \pm 12$$[/tex]
[tex]$$Because both positive and negative values are valid candidates, the possible rational roots of $x^{3}+x^{2}-3 x+12=0$ are:$$\pm 1, \pm 2, \pm 3, \pm 4, \pm 6, \pm 12[/tex]
Related Questions
Before a renovation, a movie theater had 120 seats. After the renovation, the theater has 162 seats. What is the approximate percentage increase of the number of seats in the theater? If necessary, round to the nearest tenth of a percent.
Answers
Answer:
35%
Step-by-step explanation:
Percent increase is (new number - old number) / old number
(162 - 120) / 120 = 42 / 120 = 0.35 = 35%
Find the area.
2 in
9 in
2 in
11 in
WHOEVER GIVES RIGHT ANSWER I GIVE BRAINLIEST
Answers
Answer:
See the photo above
Step-by-step explanation:
Hope this helps and have a nice day
The CEO of Jisko requests our help in preparing year-end financial reports. The CEO explains that they are having difficulty classifying accounts. The Tableau dashboard shows December 31 year-end data from the company’s accounting system.
Prepare the current assets section of its December 31 year-end balance sheet.
Answers
A current asset is an asset that can reasonably be expected to be sold, consumed, or exhausted through the normal operations of a business within the current fiscal year
What is current asset?Your information is incomplete. Therefore, an overview of the current asset will be given. Current assets are those that you can convert into cash within one year, such as short-term investments and accounts receivable.
Current assets include cash, cash equivalents, accounts receivable, stock inventory, marketable securities, pre-paid liabilities, and other liquid assets.
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NEED ANSWERS TO 25 APSPSLANDEBEB PLEASE
Answers
New point location is (2,0)
Explanation:
I’ve attached my work
Hope it helps, let me know if you have any questions !
Tracey bought a diamond ring appraised at $1200 at an antique store. If diamonds have appreciated in value at an annual rate of 12%, what was the value of the ring 10 years ago? (Round your answer to the nearest dollar.)
Answers
Answer:
1600 / 1.1^10 = $616.87
Step-by-step explanation:
Im not so sure, but here
the value of the diamond ring 10 years ago was approximately $419.47
To find the value of the diamond ring 10 years ago, we need to calculate its original value before the annual appreciation.
Let's assume the original value of the ring 10 years ago was "x" dollars.
After 10 years, with an annual appreciation rate of 12%, the value of the ring became $1200.
The formula to calculate the future value (FV) of an investment with compound interest is:
FV = PV * (1 + r)ⁿ
where:
FV = future value
PV = present value (original value)
r = annual interest rate (as a decimal)
n = number of years
In this case, we have:
FV = $1200 (present value after 10 years)
r = 12% (0.12 as a decimal)
n = 10 years
Now, we can rearrange the formula to find the original value (PV):
PV = FV / (1 + r)ⁿ
PV = $1200 / (1 + 0.12)¹⁰
PV = $1200 / 2.85610019
PV ≈ $419.47
So, the value of the diamond ring 10 years ago was approximately $419 (rounded to the nearest dollar).
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When are two angles complementary?
Answers
Answer:
90 degree's
Step-by-step explanation:
Two angles are called complementary when their measures add to 90 degrees. Two angles are called supplementary when their measures add up to 180 degrees
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[tex]\blue\textsf{\textbf{\underline{\underline{Question:-}}}}[/tex]
When are two angles complementary?
[tex]\blue\textsf{\textbf{\underline{\underline{Answer and how to solve:-}}}}[/tex]
Two angles are complementary when they add up to [tex]\tt{90\textdegree}[/tex].
For example:-
Angles whose measures are 60º and 30º are complementary because they add up to 90º.
Now, supplementary angles add up to [tex]\tt{180\textdegree}[/tex].
For example, angles whose measures are 140º and 40º are supplementary because they add up to 180º.
Good luck.
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is 3 divisible by 811
Answers
ans = 0.00369913687
hope it helps...!!!!
Steve hade 17 pencils in his backpack. this represents 5 more than 6/7 the number of pencils that Clyde has in his backpack
Answers
Answer:
Clyde has 14 pencils in his backpack
Step-by-step explanation:
Let x be the number of pencils that Clyde has in his backpack.
We can translate this statement “Steve hade 17 pencils in his backpack. this represents 5 more than 6/7 the number of pencils that Clyde has in his backpack” mathematically like this :
[tex]17=5+\frac{6}{7} x \\\\ \Longleftrightarrow 17-5=\frac{6}{7} x \\\\ \Longleftrightarrow 12=\frac{6}{7} x \\ \\\Longleftrightarrow x=\frac{12\times 7}{6} =14[/tex]
Let he has n pencils
So
[tex]\\ \rm\hookrightarrow \dfrac{6n}{7}+5=17[/tex]
[tex]\\ \rm\hookrightarrow \dfrac{6n}{7}=12[/tex]
[tex]\\ \rm\hookrightarrow 6n=84[/tex]
[tex]\\ \rm\hookrightarrow n=14[/tex]
What is the common denominator for 4 3/8 + 5 7/8?
Answers
Answer:
The common denominator is 8
Step-by-step explanation:
It depends on what you mean. The denominator is 8 in both of the fractions that is being added together
Question Nine 8 coins are tossed what is the probability of getting at least one Head showing on any of the coins?
Answers
The probability of at least one of the coins showing heads is 4
<~~• ¥ Pls HELP me!! ¥ • ~~>
Pls help me figure out the 3 boxes left pls help me
Answers
Step-by-step explanation:
divide equation by 2
subtract 6
-x
The graph of the Function F(x) is shown below. What is the value of f^-1(1)
Answers
Answer: [tex]f^-1(1)=-1[/tex]
Step-by-step explanation:
From the graph given we can derive the function [tex]f(x)[/tex]
[tex]f(x) = .5x + 1.5[/tex]
To solve [tex]f^-1(1)[/tex] we need to find the inverse function of [tex]f(x)[/tex].
Inverse functions are functions that essentially "reverse" the mapping of the domain ([tex]x[/tex]) and range ([tex]y[/tex]) of the parent function.
To find the inverse function [tex]f(x)[/tex] we need to solve for x in terms of y.
[tex]y = .5x + 1.5[/tex]
[tex]y - 1.5 = .5x[/tex]
[tex]\frac{y - 1.5}{.5} = \frac{.5x}{.5}[/tex]
[tex]x=2y-3[/tex]
from this, we can derive that
[tex]f(y)^-1=2y-3[/tex]
this can also be written as a function of x
[tex]f(x)^-1 = 2x-3[/tex]
both functions are identical.
take one of these functions and you can find that
[tex]f^-1(1) = 2(1) - 3[/tex]
[tex]f^-1(1) = -1[/tex]
PLEASE HELP ME!!! Fist person to answer gets brainly
Answers
Step-by-step explanation:
I only know the answer for the second task
Answer:
a) No
b) No
c) Yes
d) No
Step-by-Step Explanation:
We can use the Pythagoras Theorem to check whether it is a right triangle.
Hypotenuse^2 = 1st Side^2 + 2nd Side^2
a) 7, 12, 14
Therefore,
=> 14^2 = 7^2 + 12^2
=> 196 = 193
RHS is not equal to LHS.
Therefore, its not a Right Triangle.
b) 6, 14, 19
Therefore,
=> 19^2 = 6^2 + 14^2
=> 361 = 232
RHS is not equal to LHS.
Therefore, its not a Right Triangle.
c) 12, 35, 37
Therefore,
=> 37^2 = 12^2 + 35^2
=> 1369 = 1369
RHS is equal to LHS.
Therefore, it is a Right Triangle.
d) 4, 8, 9
Therefore,
=> 9^2 = 4^2 + 8^2
=> 81 = 80
RHS is not equal to LHS.
Therefore, its not a Right Triangle.
2nd Image:-
Answer: 352 ft^3
Step-by-Step Explanation:
r = 4 ft
h = 7 ft
Volume = πr^2h
Therefore,
= πr^2h
= π * r^2 * h
= 3.14 * 4^2 * 7
= 3.14 * 16 * 7
= 351.68
Volume = 351.68 ft^3
Rounded off = 352 ft^3
If you appreciate the effort that I put into making this answer, please mark it as Brainliest. Thank you.
f (x) = 7x + 2. Find the inverse of f(x).
O A. f-1(2)= 4
O B. f-1(r)=Tx-2
O c. f-(t) =%á
O D. f (x) = 2- 7x
Answers
Answer:
[tex] \frac{x - 2}{7} [/tex]
Step-by-step explanation:
[tex]f(x) = 7x + 2[/tex]
[tex]let \: \: f(x) = y[/tex]
[tex]7x + 2 = y[/tex]
[tex]7x = y - 2[/tex]
[tex]x = \frac{y - 2}{7} [/tex]
[tex] {f}^{ - 1} (x) = \frac{x - 2}{7} [/tex]
[tex]\large\text{view\:explanation\:for\:more\:details}[/tex]
Calculations ↓Remember , inverse functions do the opposite things in the opposite order.
Here's what happened to x here :
First , it's been multiplied by 7 .Then , 2 has been added to it .We can easily find the inverse of any function by following these steps :
Set the function equal to y as follows :f(x)=7x+2
y=7x+2
2. Now , switch y and x places :
x=7y+2
3. Solve for y .
First , subtract 2 on both sides :
x-2=7y
Divide by 7 on both sides :
[tex]\text{y=$\displaystyle\frac{x-2}{7}$}}[/tex]
We've found the inverse function of f(x)=7x+2.[tex]\tiny\text{hope\:helpful}[/tex]
762/164,391
Need full work
Answers
Answer:
254/54797
Step-by-step explanation:
image attached
What is the product of 709 and 68?
Answers
Answer:
[tex]709*68=48212[/tex]
ans = 48212
Please solve with explanation (high points)
Answers
The value of ∠AKL and ∠AKC are both 45° each. The justification is that lines AK and KC both split the regular polygons BKLC (rectangle) and ABCD in two. The sum of angles in a right angle is 90°, hence half of that is 45°
What is a regular polygon?A regular polygon is one that is two-dimensional and can be created at least three lines together.
Because, the sum of angles in a right angle is 90°, hence half of that is 45°. Therefore, the values of ∠AKL and ∠AKC are both 45° each.
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The sum of the measures of the angles of a triangle is 180. The sum of the measures of the second and third angles is three times the measure of the first angle. The third angle is 15 more than the second.
Answers
Answer:
Angle #1 is 45 degrees
Angle #2 is 60 degrees
Angle #3 is 75 degrees
Step-by-step explanation:
x- angle #1
y- angle #2
(180-x-y)- angle #3
3x=180-x
4x=180
x=45
180-x-y=y+15
y=60
180-60-45=
180-105= 75
How do I find the perimeter of a regular triangular pyramid?
Answers
Answer:Triangular Pyramid Solved Examples Example 1: Find the surface area of a triangular pyramid with the base area is 28cm.sq., the perimeter is 20cm, slant length is 5cm. Solution: Surface area = [Base area] + ½ × Perimeter × [Slant length] = 28 + ½ × 20 × 5 = 28 + 50 = 78 cm.sq.
Step-by-step explanation:
The GCF of 12 and 28 is _____.
Answers
Answer:
The GCF of 12 and 28 is 4
hope it helpsss
Answer: is 4 thats the answer
Step-by-step explanation: i have none im not good at explaining math welp have a good day
Bonus: The probability that our administrators are athletic is .79. The probability that they are
intelligent is .89. The probability that they are both athletic and intelligent is.83. What is the
probability that if we choose an administrator, randomly, that he/she is not athletic?
Answers
Answer:
79
Step-by-step explanation:
what is the reference angle for a 240 degree angle?
Answers
Which steps could be part of the process in algebraically solving the system of equations, y + 5x = x + 10 and y = 4x – 10?
Select two options.
y=x2 + 5x + 10
y + 5x = x2 + 10 + 4x - 10
0 = x2-9x 0 = x2 - 9x + 20
One x-value of a solution to the system is 4.
Answers
y=x2 + 5x + 10
y + 5x = x2 + 10 + 4x - 10
0 = x2-9x 0 = x2 - 9x + 20
What is the volume of the figure composed of two congruent triangular prisms if a = 5 units, b = 3 units, and c = 6 units?
A.
60 cubic units
B.
45 cubic units
C.
90 cubic units
D.
180 cubic units
Answers
In the figure, A ABC is similar to ADEF.
What is mZ1?
B
77
F1
O 103
E
62
O 118°
D
O 139°
O 167
Answers
Answer:
need pictures of questions
Step-by-step explanation:
please
A jogger on the beach at Cape Hatteras covered 8 miles at a constant speed. Given that distance run varies directly as time, what is the constant of variation in miles per hour if it took the jogger 45 minutes to cover the 8 miles?
Answers
The velocity of the jogger will be 0.18 miles per minute.
What is velocity?Velocity is defined as the ratio of the distance moved by the object in a particular time. The velocity is a vector quantity so it needs both the magnitude and the direction.
Given that:-
It took the jogger 45 minutes to cover the 8 milesThe velocity will be calculated as:-
V = Distance ÷ Time
V = 8 ÷ 45
V = 0.18 miles per minute
Therefore the velocity of the jogger will be 0.18 miles per minute.
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find the product of smallest natural number and the smallest whole number
Answers
1x0=0
i hope that’s right
PLEASE HELP
Log,3 7=x is equivalent to which of the following (choose all correct answers)
Answers
Answer:
should be 3^X = 7 and X = log7/log3
Step-by-step explanation:
Answer:
[tex]3^x = 7\\x = \frac{log7}{log3}[/tex]
Let y = 2(x – 5)2 – 6.
Part A: Is the given relation a function? Is it one-to-one? Explain completely. If it is not one-to-one, determine a possible restriction on the domain such that the relation is one-to-one.
Part B: Determine y–1. Show all necessary calculations.
Part C: Prove algebraically that y and y–1 are inverse functions.
I WILL GIVE BRAINLIEST PLS HELPPPP!!!!
Answers
The given equation represents a function and inverse of the function exist if x ≥ 6.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have a function:
y = 2(x – 5)² – 6
Part A:
Using vertical line test, we can find the whether the graph is a function or not.
After drawing a graph for the given curve, and drawing a vertical line.
The vertical line touches only one point for the one input.
The given equation represents a function.
Part B:
Replace x → y and y → x
x = 2(y – 5)² – 6
2(y – 5)² = x + 6
[tex]\rm y^-^1 = \sqrt{\dfrac{x+6}{2}} +5[/tex]
Plug x = 1 in the y:
y = 26
Plug [tex]\rm y ^-^1[/tex] = 1 in inverse of a function:
x = 26
Thus, the given equation represents a function and inverse of the function exist if x ≥ 6.
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Any one able to help me out with this one?
Answers
Answer:
54 yards²
Step-by-step explanation:
First, we can find the area of the figure as a whole.
6 x 11 = 66
Now we have to find the area of the smaller rectangle
3 x 4 = 12
Finally, we subtract the whole and the smaller rectangle
66 - 12 = 54
