The equation which shows one way to determine the factors of x3 4x2 5x 20 by grouping is x²(x + 4) + 5(x + 4).
How to find factor of polynomial?The factor of a polynomial is the terms in linear form, which are, when multiplied together, give the original polynomial equation as a result.
The polynomial equation given in the problem is,
[tex]x^3 +4x^2 +5x+ 20[/tex]
Take out the greatest common factor from the first two term which is x^2 and from the last two terms which is 5 as,
[tex]x^2(x +4)+5(x+ 4)\\[/tex]
Simplify it further,
[tex](x+4)(x^2+5)[/tex]
Thus, the equation which shows one way to determine the factors of x3 4x2 5x 20 by grouping is x²(x + 4) + 5(x + 4).
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Find m
This is geometry math
Answer: 120
Step-by-step explanation:
Solve each inequality |x-5|>-3
Answer:
8
Step-by-step explanation:
Just move the modellus
x-5=3
x=5+3
x=8
PLEASE HELP!! 90 POINTS!!!
In a popular online role playing game, players can create detailed designs for their character's "costumes," or appearance. Alexander sets up a website where players can buy and sell these costumes online. Information about the number of people who visited the website and the number of costumes purchased in a single day is listed below.
8 visitors purchased no costume.
340 visitors purchased exactly one costume.
28 visitors purchased more than one costume.
If next week, he is expecting 600 visitors, about how many would you expect to buy more than one costume? Round your answer to the nearest whole number.
Answer:
45 people
Step-by-step explanation:
1) Add all of the origanal visitors (376)
2) Find the ratio (28/376) = 0.0744
3) Either 28/376 * 600 OR 0.0744 * 600 (I would recomend the fraction for more accurate answers, but because it says to round to the nearest whole number either will work, but you should still use fraction)
4) 44.6908
5) Round to 45 people
Answer:
600 visitors expected. Add 28 visitors for buying more than one costume and you get 628 visitors. I think you are complicating it.
Step-by-step explanation:
Solve the following: 32 = 4 + 4 x 8 = ?
A. 42
B. 96
C. 32
D. 40
Answer:
The answer is
→ Option D.) 40
Step-by-step explanation:
32 ÷ 4 + 4 x 8
= 32 ÷ 4 = 8
= 8 + 4 x 8
= 8 + 32
= 40
Therefore, Option D.) 40 is your answer.
Hope this helped! :^)
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- ✨7272033Alt✨
Submitted on 4/19/2022 at 7:25 PM
(To avoid plagarism, by users whom decide to copy.)
Answer:
Step-by-step explanation: 36 see attachment
When given angle measures of 15°, 65°, and
90°, is it impossible to draw a triangle, possible
to draw only one triangle, or possible to draw
more than one triangle? Explain.
Answer:
it is impossible
Step-by-step explanation:
all shapes need to have all angles to add up to 180 but this triangle adds up to 170
Lily's basketball team won 4/5 of their games. Lily scored points 2/3 of the games her team won. In waht fraction of her team's winning games did Lily score points?
A) 2/15
B) 8/15
C) 3/4
D) 5/6
[tex]\huge\fcolorbox{blue}{aqua}{Answer:}[/tex]
════════════════════
Lily's basketball team won 4/5 of their games. Lily scored points 2/3 of the games her team won. In waht fraction of her team's winning games did Lily score points?
Answer: =D.[tex] \frac{5}{6}[/tex]
Solution:
[tex]\frac{ 2 }{ 3 } \div \frac{ 4 }{ 5 } =[/tex]
[tex]\frac{2}{3}\times \left(\frac{5}{4}\right) [/tex]
[tex]\frac{2\times 5}{3\times 4} [/tex]
[tex]\frac{10}{12} [/tex]
=[tex] \frac{5}{6}[/tex]
I reduced the fraction [tex] \frac{10}{12}[/tex] into the Lowest terms by doing extracting and cancelling out the [tex]2[/tex]
=[tex] \frac{5}{6}[/tex]
So the answer is letter D.[tex] \frac{5}{6}[/tex]
════════════════════
Explanation:
#Carry on learning
If using the method of completing the square to solve the quadratic equation x^2-5x-27=0 which number would have to be added to "complete the square"?
Answer:
can you mark brainliy
Step-by-step explanation:
x²-5x+(-5/2)²=27+(-5/2)²
(x-5/2)²= 133/4
x-5/2= ±√(133/4)
x= (5/2)± √(133/4)
x= ...
An airplane is flying in the direction of 30 degrees south of west at 600 mph. a wind is blowing in the direction of 60 degrees north of east at 40 mph. are the component forms for the air and wind vectors. the ground speed, g, of the plane is given by .
The ground speed (G) is given as
.[tex]G=\sqrt{(600\dfrac{\sqrt{3}}{2}+20)^2+(300+40\dfrac{\sqrt{3}}{2}})^2}[/tex]
The correct potion is B.
What is a vector?The quantity which has magnitude, direction and follows the law of vector addition is called a vector.
An airplane is flying in the direction of 30 degrees South of West at 600 mph. A wind is blowing in the direction of 60 degrees North of East at 40 mph.
It means the airplane is flying in the opposite direction of the wind.
The component of an airplane will be
[tex]x=-600sin30\\\\x=\dfrac{-600}{2}=-300\\\\y=-600cos30\\\\y=\dfrac{-600 \sqrt{3}}{2}}[/tex]
The component of wind will be
[tex]x=40cos60\\\\x=\dfrac{40}{2}=20\\\\y=40sin45\\\\y=\dfrac{40\sqrt{3}}{2}}[/tex]
Then the ground speed will be
.[tex]G=\sqrt{(600\dfrac{\sqrt{3}}{2}+20)^2+(300+40\dfrac{\sqrt{3}}{2}})^2}[/tex]
Then the correct potion is B.
More about the vector link is given below.
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Answer:
C and B
Step-by-step explanation:
C and B
Coach Martinez is picking one of three students (Bella, Chrissie, or Destiny) to
be team captain. What is a fair way to do this?
O A. Toss a coin twice. If it comes up heads 2 times, pick Bella. If it
comes up heads 1 time, choose Chrissie. If it comes up heads 0
times, choose Destiny.
B. Roll a number cube. If 1 or 6 comes up, pick Bella. If 2 or 5 comes
up, pick Chrissie. If any other number comes up, pick Destiny.
C. Roll a number cube. If an even number comes up, pick Bella. If a 3
or a 5 comes up, pick Chrissie. If any other number comes up, pick
Destiny
D. Choose the tallest of the three girls.
Answer:
D
Step-by-step explanation:
I think it is sorry if I'm wrong
Translate the following English phrase into an algebraic expression: three more than twice some number
Answer:
2x+3
or
2N + 3
9th grade math please help thanks <3
Step-by-step explanation:
8) 52
9) (135/2) or 67.5
10)(32/5) or 6.4
25
What is the product?
(7x^2)(2x^3+5)(x^2-4x-9)
•
14x5 - x+ -46x3 - 58x2 - 20x -45
•
14x5 56x5 - 91x4 - 140x3 - 315x2
O 14x7-56x8-126x5+35x4-140X3-315x2
•
14x12 - 182x8 + 35x4 -455x2
Answer:
14x^7 - 56x^6 - 126x^5 + 35x^4 - 140x^3 - 315x^2
Step-by-step explanation:
(7x^2)(2x^3+5)(x^2-4x-9)
(14x^5+35x^2)(x^2-4x-9)
14x^7 -56x^6 - 126x^5 + 35x^4 -140x^3 - 315x^2
I don't see a correct answer option.
The one written as:
O 14x7-56x8-126x5+35x4-140X3-315x2
comes the closest, but it is not exact. I get 56x^6, not 56x^8.
The perimeter of a triangular window is 141 inches. The ratio of the side lengths of the window is 11:18:18. What are the side lengths of the window?
The perimeter of a triangular window is the sum of its side lengths
The side lengths of the window are 33 inches, and 54 inches
How to determine the side lengths?The ratio is given as:
Ratio = 11: 18 : 18
Rewrite as:
Ratio = 11x: 18x : 18x
Express as sum
Sum = 11x + 18x + 18x
Sum = 47x
The perimeter is 141 inches.
So, we have:
47x = 141
Divide both sides by 47
x = 3
Recall that:
Ratio = 11x: 18x : 18x
So, we have:
Ratio = 11*3: 18*3 : 18* 3
Ratio = 33: 54 : 54
Hence, the side lengths of the window are 33 inches, and 54 inches
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Find the center and radius of the circle given by this equation x^2- 10x + y^2 + 6y -30=0
Answer:
center=(5,-3)
radius = 2 unit
Step-by-step explanation:
Answer:
(5,-3) radius-- 2
Step-by-step explanation:
What fraction is
750g of 1 1/4 kg
How many different ways can three people from leni isko ping leody manny selected to attend a meeting
The selection of the three people is an illustration of combination
The number of different ways the three people can be selected is 10
How to determine the number of selection?From the question, we have the following parameters:
Number of people, n = 5Number of people to select, r = 3The number of different selections is then calculated using the following combination formula
[tex]^nC_r = \frac{n!}{(n - r)!r!}[/tex]
So, we have:
[tex]^5C_3 = \frac{5!}{(5 - 3)!3!}[/tex]
Evaluate the difference
[tex]^5C_3 = \frac{5!}{2! * 3!}[/tex]
Evaluate the quotient
[tex]^5C_3 = 10[/tex]
Hence, the number of different ways the three people can be selected is 10
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CaN AnYoNE hElP?~ find the area pls.
326.555 in2
349.45 in2
303.66 in2
607.32 in2
Answer:
Im pretty sure the answer is B) 349.45 in^2
Step-by-step explanation:
Hope This helps
Have A great Day
~Zero~
1
possible
Find the interest on the following loan.
$5315 at 5%; loan made on August 10 and due December 23
The interest amount (simple interest ) on the loan amount $5315 at 5% from 10th aug to 23rd dec. of same year is $105.50
How to calculate simple interest's amount?If the initial amount (also called as principal amount) is P, and the interest rate is R% annually, and it is left for T years for that simple interest, then the interest amount earned is given by:
[tex]I = \dfrac{P \times R \times T}{100}[/tex]
For this case, we're specified that:
Principal amount = $5315Rate of interest = R% = 5% (assumingly annually, and simple interest).Time for which interest was applied: 10th aug to 23rd dec.( of same year assumingly)Converting this time in terms of year, we get:
Aug has 31 days, Sept has 30 days, Oct. has 31 days, Nov has 30 days.
From 10th aug, till its last, there went 22 days.
Whole sept and oct and nov. was spent (30+31+30 = 91 days)
And then there were 22 days of december(23rd day not covered assumingly)
So, total days = 22+22+91 = 145 days.
Assuming averagely 365.25 days in an year, we get the average time for which the interest will be calculated as:
[tex]\dfrac{145}{365.25} \approx 0.397 \: \rm years[/tex]
Thus, we get: the amount of interest as:
[tex]I = \dfrac{P \times R \times T}{100}\\\\I \approx \dfrac{5315 \times 5\times 0.397}{100} \approx 105.50 \: \rm dollars[/tex]
Thus, the interest amount (simple interest ) on the loan amount $5315 at 5% from 10th aug to 23rd dec. of same year is $105.50
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Please help! Will mark brainlyest.
(0,-2)
it'll remain same
hope it helps...!!!!
What size pizza should she order to get 37.68in of crust?
[tex]\huge\fcolorbox{blue}{aqua}{Answer:}[/tex]
════════════════════
Answer:
↝[tex]r = \frac{471}{25\pi} [/tex]
Solution:
[tex]2\pi r = 37.68[/tex]
[tex] \frac{2\pi r}{2\pi} = \frac{37.68}{2\pi} [/tex]
[tex]r = \frac{37.68}{2\pi}[/tex]
[tex]r = \frac{471}{25\pi} [/tex]
────────────────────
If u evaluate it it will become
=5.996958256
════════════════════
Explanation:
#Carry on learning
A seed company distributed 2,995,748,111 seeds last season. This season, the company distributed 1,598,485,845 seeds. What is the estimated amount of seeds distributed both seasons? Round to the nearest billion
Answer:
they sold 1,397,262,266 less seeds this season but made 1,397,262,266 last season
Step-by-step explanation:
2,995,748,111 - 1,598,485,845 = 1,397,262,266
The following table contains the first 5 terms of an infinite arithmetic sequence. What is the 7th term?
f(n) is an arithmetic sequence, so the difference between any two consecutive terms is the same. For instance,
f(2) - f(1) = -0.6 - 0.7 = -1.3
so for all natural numbers n, we should have
f(n) - f(n - 1) = -1.3
Then
f(6) - f(5) = -1.3 ⇒ f(6) = -4.5 - 1.3 = -5.8
f(7) - f(6) = -1.3 ⇒ f(7) = -5.8 - 1.3 = -7.1
16. Which scale factor was used to dilate AABC to AA'B'C'?
A. 6
B. 3
C. 4
D. 5
Answer: C
Step-by-step explanation:
during a sale,the price of a digital camera is reduced from $180 to $117.By what percentage is the price of the camera reduced
What are the removable discontinuities of the following function? f (x) = startfraction x squared minus 36 over x cubed minus 36 x endfraction x = –6, x = 0, and x = 6 x = –6 and x = 6 x = 0 and x = –6 x = 0 and x = 6
The removable discontinuity is at negative 6 and 6. Then the correct option is B.
What is a function?The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.
The function is given as
[tex]f\rm (x) =\rm \dfrac{x^2-36}{x^3-36x}[/tex]
The expression can be written as
[tex]f\rm (x) =\rm \dfrac{x^2-36}{x(x^2-36)}[/tex]
[tex]f\rm (x) = \dfrac{1}{x}[/tex]
The non-removable discontinuity is x = 0.
More about the function link is given below.
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Answer :its B
Step-by-step explanation: got it right on edg 2022
An isosceles right triangle has legs that are 10 centimeters long. To the nearest tenth of a centimeter, what is the length of the hypotenuse?
Question
An isosceles right triangle has legs that are 10 centimeters long. To the nearest tenth of a centimeter, what is the length of the hypotenuse?
Answer:
14.1 cm
Step-by-step explanation:
is a right triangle and we use the Pythagorean theorem
√(10² + 10²) =
√(100 + 100) =
√200 =
14.1
Suppose you have a tray that is 10 inches squared in area. Choose objects to fill the tray (e.g. muffins, cookies, etc.). Then, establish both a quantity of objects AND the overall density of the objects on the tray.
This is a practical exercise. However, the following definitions and equations will help you to arrive at the density of the objects you will put on the tray.
What is density?Population density is defined as the number of people (in this case) items (N)/area of space that they occupy. (A)
Note that the area to be occupied by the items you will put on the Square Tray is 10 X 10 = 100inches.
Assuming the number of items that you put on the tray (that is total number of muffins, cookies, biscuits etc) equals 50,
The Density will be = 50/100
= 0.5 objects/In
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Which polynomials are prime? check all that apply. 15x2 10x – 9x 7 20x2 – 12x 30x – 18 6x3 14x2 – 12x – 28 8x3 20x2 3x 12 11x4 4x2 – 6x2 – 16
The options that are prime polynomials are,
15x^2 +10x -9x+7, 8x^3+20x^2+3x+12 and 11x^4+4x^2-6x^2-16
What is the prime polynomial?A polynomial with integer coefficients that cannot be factored into polynomials of lower degree, also with integer coefficients, is called an irreducible or prime polynomial.
To determine all options in order to check that the polynomials are prime or not:
1). 15x^2 +10x -9x+7
5x(3x + 2) - (9x - 7)
Therefore, this polynomial can not be factored into lower degree polynomial. Therefore, it is a prime polynomial.
2). 20x^2-12x+30x-18
4x(5x - 3)+6(5x-3)
(4x + 6)(5x - 3)
Therefore, this polynomial is converted into a lower degree polynomial. Therefore, it is not a prime polynomial.
3). 6x^3+14x^2-12x-28
2x^2(3x+7)-4(3x+7)
(2x^2-4)(3x+7)
Therefore, this polynomial is converted into a lower degree polynomial. Therefore, it is not a prime polynomial.
4). 8x^3+20x^2+3x+12
4x^2(2x+5)+(3x+20)
Therefore, this polynomial can not be factored into lower degree polynomial. Therefore, it is a prime polynomial.
5). 11x^4+4x^2-6x^2-16
x^2(11x^2+4)-2(3x^2+8)
So, this polynomial can not be factored into lower degree polynomial. Therefore, it is a prime polynomial.
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Determine the total annual fica tax for an annual salary of $165,000. use $106,800 for maximum taxable earnings. a. $901.41 b. $9,014.10 c. $1,262.25 d. $12,622.50 please select the best answer from the choices provided a b c d
The total annual FICA tax for an annual salary of $165,000 would be 12622.50. So, option d is correct.
What is income tax?Income tax is a tax applied on individuals or entities concerning income or profit earned by them.
The categories are 6.2% as social security tax 1.45% as Medicare tax 0.9% as Medicare surtax for employees earning more than $200,000
Medicare Tax
6.2% x 165000
= 10230
Social Security Tax
= 1.45% x 165000
= 2392.5
Since 10230+2392.5 = 12622.50
Social security is taxed at 6.5 percent and medicare is taxed at 1.45 percent. it will always be that number unless the government changes it.
The categories are 6.2% as social security tax 1.45% as Medicare tax 0.9% as Medicare surtax for employees earning more than $200,000
As the income of the employee is less than $200000, so there will be no medical surtax.
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Answer:
a. 901.41
(I just took the test)
Give the appropriate theorem or postulate that can
be used to prove the triangles similar:
A. AA Postulate
B. ASA Postulate
C. SSS Postulate
D. SAS Postulate
Answer:
Step-by-step explanation:
<ACB = <ECD
These 2 angles are vertically opposite and are equal.
<B = <D
They are both right angles are therefore equal.
The answer is the AA postulate.
A
Note
ASA is a congruence postualate. If S is between two angles that can be shown to be corresponding and equal, then you will have 2 congruent triangles.
SSS if three sides of 1 triangle = 3 sides of a second triangle, then the 2 triangles are congruent. If the the three sides of one triangle are in a ratio with 3 sides of the other triangle, then the triangles could be similar, but that is not the case here.
SAS this is the terminology for congruence as well. We don't know enough to use it for similarity. Some sort of ratio would have to be mentioned to do that.
You are intended to use AA as your answer.