Answer:
I would give myself a five, i am amazing either way
Step-by-step explanation:
2a^3 + a^2 + a + 4
A Linear
B Cubic
C Quadratic
D: Quartic
Answer:
C. Quadratic
Step-by-step explanation:
Solve for a:
2 a^3 + a^2 + a + 4 = 0
Hint: | Look for a simple substitution that eliminates the quadratic term of 2 a^3 + a^2 + a + 4.
Eliminate the quadratic term by substituting x = a + 1/6:
23/6 + (x - 1/6)^2 + 2 (x - 1/6)^3 + x = 0
Hint: | Write the cubic polynomial on the left-hand side in standard form.
Expand out terms of the left hand side:
2 x^3 + (5 x)/6 + 104/27 = 0
Hint: | Write the cubic equation in standard form.
Divide both sides by 2:
x^3 + (5 x)/12 + 52/27 = 0
Hint: | Perform the substitution x = y + λ/y.
Change coordinates by substituting x = y + λ/y, where λ is a constant value that will be determined later:
52/27 + 5/12 (y + λ/y) + (y + λ/y)^3 = 0
Hint: | Transform the rational equation into a polynomial equation.
Multiply both sides by y^3 and collect in terms of y:
y^6 + y^4 (3 λ + 5/12) + (52 y^3)/27 + y^2 (3 λ^2 + (5 λ)/12) + λ^3 = 0
Hint: | Find an appropriate value for λ in order to make the coefficients of y^2 and y^4 both zero.
Substitute λ = -5/36 and then z = y^3, yielding a quadratic equation in the variable z:
z^2 + (52 z)/27 - 125/46656 = 0
Hint: | Solve for z.
Find the positive solution to the quadratic equation:
z = 1/216 (3 sqrt(4821) - 208)
Hint: | Perform back substitution on z = 1/216 (3 sqrt(4821) - 208).
Substitute back for z = y^3:
y^3 = 1/216 (3 sqrt(4821) - 208)
Hint: | Take the cube root of both sides.
Taking cube roots gives 1/6 (3 sqrt(4821) - 208)^(1/3) times the third roots of unity:
y = 1/6 (3 sqrt(4821) - 208)^(1/3) or y = -1/6 (208 - 3 sqrt(4821))^(1/3) or y = 1/6 (-1)^(2/3) (3 sqrt(4821) - 208)^(1/3)
Hint: | Perform back substitution with x = y - 5/(36 y).
Substitute each value of y into x = y - 5/(36 y):
x = 1/6 (3 sqrt(4821) - 208)^(1/3) - 5/(6 (3 sqrt(4821) - 208)^(1/3)) or x = -1/6 (208 - 3 sqrt(4821))^(1/3) - (5 (-1)^(2/3))/(6 (3 sqrt(4821) - 208)^(1/3)) or x = 5/6 ((-1)/(3 sqrt(4821) - 208))^(1/3) + 1/6 (-1)^(2/3) (3 sqrt(4821) - 208)^(1/3)
Hint: | Simplify each solution.
Bring each solution to a common denominator and simplify:
x = ((3 sqrt(4821) - 208)^(2/3) - 5)/(6 (3 sqrt(4821) - 208)^(1/3)) or x = -1/6 (208 - 3 sqrt(4821))^(1/3) - (5 (-1)^(2/3))/(6 (3 sqrt(4821) - 208)^(1/3)) or x = 1/6 (5 ((-1)/(3 sqrt(4821) - 208))^(1/3) + (-1)^(2/3) (3 sqrt(4821) - 208)^(1/3))
Hint: | Perform back substitution on the three roots.
Substitute back for a = x - 1/6:
Answer: a = ((3 sqrt(4821) - 208)^(2/3) - 5)/(6 (3 sqrt(4821) - 208)^(1/3)) - 1/6 or a = -1/6 - 1/6 (208 - 3 sqrt(4821))^(1/3) - (5 (-1)^(2/3))/(6 (3 sqrt(4821) - 208)^(1/3)) or a = 1/6 (5 (-1/(3 sqrt(4821) - 208))^(1/3) + (-1)^(2/3) (3 sqrt(4821) - 208)^(1/3)) - 1/6
4
13) While shopping for a gift, you find the perfect wallet on sale
for 89% off its original $5.62 price. How much will you pay for
the wallet?
I
14) A wallet is marked with a sale sticker saying it is 76% off
The original price is $57.41. What is the sale price?
15) Originally priced at $48.69, a wallet was found on a 10% off
rack. What is the sale price of the wallet?
Answer:
13) 0.61 cent
14) 13.78 $
15) 3.82 $
Step-by-step explanation:
Hope this helps
The required solutions are given as,
13) Discounted price of the walled 0.61 cents,
14) the sale price is given as $ 13.78,
15) sale price of the wallet is $ 3.82,
The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.
Here,
(1)
The perfect wallet is on sale for 89% off its original $5.62 price,
Discounted price, = 5.62 - 89% of 5.62
= 5.62 - 0.89 × 5.62
= 5.62(1 - 0.89)
= 5.62(0.11)
= 0.61 cents
Similarly,
14) the sale price is given as $ 13.78,
15) sale price of the wallet is $ 3.82,
Learn more about percentages here:
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can you help me please
Answer: i think it would be 5
[tex]\sqrt{x} \left \{ {{y=2} \atop {x=2}} \right. \lim_{n \to \infty} a_n \int\limits^a_b {x} \, dx \\[/tex]
Can you please help this is due in a few hours
Answer:
Rounded to the hundreds is 500, and rounded to the tens place is 480.
Step-by-step explanation:
You figure out if 476 is closer to 480 or 470 and in this case it is closer to 480, thus that is the answer. Same thing goes for the hundredes place just focusing your attention in the tens or hundreds place. - Hope this helps :)
Which of the following expression are equivalent to -11/4?
Answer:
B
Step-by-step explanation:
The equivalent expression to - 11/4 is, - (-11/-4).
Option B is true.
What is mean by Fraction?A fraction is a part of whole number, and a way to split up a number into equal parts. Or, A number which is expressed as a quotient is called fraction. It can be written as the form of p : q, which is equivalent to p / q.
Given that;
The fraction is,
⇒ - 11/4
Now, By option B;
The number is,
⇒ - (- 11/ - 4)
Multiply by - 1 in denominator and numerator,
⇒ - (- 1 × - 11 / - 1 × - 4)
⇒ - (11/4)
⇒ - 11/4
Thus, The equivalent expression is, - (-11/-4).
Learn more about the fraction visit:
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The complete question is this,
Which of the following expression are equivalent to -11/4?
A) - (11/ - 4)
B) - (-11/-4)
C) None of these
if you are asked to solve a system of equations in which there is no linear equation to start with, you can sometimes begin by isolating and substituting a variable that is squared in both equations.
Answer:
A. True
Step-by-step explanation:
A. P. E. X. Just took the quiz.
Answer:
Step-by-step explanation:
it is true
A group of people were asked if Marilyn Monroe had an affair with JFK. 184 responded "yes", and 387 responded "no". Find the probability that if a person is chosen at random, the person does NOT believes Marilyn Monroe had an affair with JFK.
Probability (round to 4 decimal places)
Answer:
0.6778 to 4 dec. places.
Step-by-step explanation:
That is 387 / (184+387)
= 387 / 571
= 0.677758
A company can secure additional capital without going into debt by doing
which of the following?
A. Going public
B. Taking a business loan
C. Buying out another company
D. Bargaining for wage reductions
Answer:
A. Going public should be the answer!
Let me know if thats right or not!
Answer:
When a company can secure an additional capital without going into debt the best and suitable answer is Going public.
HELP PLEASE
BRAINLIEST IF CORRECT
Answer:
1. 7 and 8
2. Pi so the second one
3. between the square root of 6 and the square root of 25
4. the only one left, which is the top one. I am in honors algebra. TRUST ME BROS
Step-by-step explanation:
Please help me with me.
Answer:
9; the initial fee.
Step-by-step explanation:
a) Find the value of: 659 x
17 + 659 x 13 + 659 x 70
Answer:
1000000
Step-by-step explanation:
I need help with the maths
Answer: 1. Function 2. Not a function 3. Not a function
Step-by-step explanation:
( this is an guess so don’t judge much)
Answer: a and b are functions c is not a function
Step-by-step explanation:
I’m smart
The mode of the following data is 5 ?
0, 2, 2, 5, 2, 5, 0
Answer:
The answer is 2.
Step-by-step explanation:
2 appears three times while the others appear only twice
Write a story that can be represented by the following equation: x + 16 = 42
Answer:
Amanda bought 42 apples and gave 16 away how many are left.
Step-by-step explanation:
X=26
Answer:
Renee runs a dogwalking business. She walked 42 dogs over the weekend. On Saturday she walked 16 dogs but Renee can't remember how many she walked on Sunday. Write and equation to find how many dogs Renee walked on Sunday where x is the number of dogs she walked on Sunday.
The table shows the results of a survey to choose a new
school mascot.
Vx
Four hundred students participated in the survey.
Which expression would you use to find how many
students voted for the cougar?
What should be the new school mascot?
Cougar
10%
400 - 2
0400 +4
Eagle
15%
0400 - 5
Falcon
0400 + 10
50%
Panther
25%
Intro
Done
Answer:
400 divided by 10 Got it right in the assignment
Answer:400 divided by 10
Step-by-step explanation:
<3
When x = -3, then y = ?
Step-by-step explanation:
the answer is y=-6 when x=-3
una madre tiene 35 años mas que su hija y dentro de 5 años tendra el doble
¿que edad tiene cada uno?
pls help! will give brainliest
on of Tho Mcd
8. Write the standard form of the equation y + 4 = - 12 (x – 1).
Answer:
12x + y = 16
Step-by-step explanation:
Standard Form: Ax + By = C
Step 1: Write point-slope form
y + 4 = -12(x - 1)
Step 2: Find slope-intercept form
y + 4 = -12x + 12
y = -12x + 16
Step 3: Find standard form
12x + y = 16
Which of the following does not represent a function? (1 point)
Answer this as quick as possible
Answer:
The oval
Step-by-step explanation: A function must pass the vertical line test.
Answer:
The third one (oval)
Step-by-step explanation:
To see if something is a function or not, you do the vertical line test. So just draw lines vertically over the x-values. If an x-value has more than one y-value then it is not a function. It is a relation.
How many solutions does this equation have?
4 − 6r = –9r + 4
Answer: none
Step-by-step explanation:
i need help with this please
Answer:
Yes because the y value is 0 thus the ordered pair is located on the x - axis
Step-by-step explanation:
3.5+y=-1 solve for y
Answer:
C is your best bet i got it good on ed
Answer:
-4.5
Step-by-step explanation:
can someone help me????????????
Answer: +2
Step-by-step explanation: :)
How much time will Alex need to walk to his school, which is 2 1/4 miles away from his house, if he would walk with the speed of
4 1/2 mph
PLSSS!!!!! HELP ME!!!! I WILL MARK U!!! MATH!!!!!!!!!!!!
Answer:
48
Step-by-step explanation:
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition SubtractionStep 1: Define
bc² - b
b = 2
c = -5
Step 2: Substitute and Evaluate
Substitute: 2(-5)² - 2Exponents: 2(25) - 2Multiply: 50 - 2Subtract: 48Answer:
48
Step-by-step explanation:
Hello,
[tex]bc^2-b=b(c^2-1)\\ \\\text{So for b = 2 and c = -5} \\\\2\times ((-5)^2-1)=2\times (25-1)=2\times 24 = 48[/tex]
Thanks
A birthday cake was cut into equal pieces, and two pieces were eaten. The
fraction below shows how many pieces were left. According to the fraction,
how many pieces were not eaten?
9
11
A. 13
B. 9
C. 2.
O
D. 11
O
Answer:
I think c is the answers but I could be wrong
solve for x. 4=6x/a +5
What is one goal you would like to accomplish over the next twenty months? In other words, what is one goal you would like to accomplish by the end of middle school? Explain. (2+ sentences)
Answer:
One goal that I would like to accomplish over the next twenty months is to become a better person. Academically and personally. As cliché as it sounds, I would love to get better grades. Personally, I would like to get better at my emotional regulation when working on school. I would love to discover better study habits.
A whale is 215 feet below sea level and descends 23 feet then ascends 119 feet. What is the location of the whale?
Answer:
354 feet below sea level
Step-by-step explanation:
Subtract 23 from 215, then add 119