The factor of the polynomial 18x³ + 6x²y - 9x² - 3xy will be 3x(6x² - 2xy - 3x - y). Then the correct option is C.
What is a factorization?It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.
The polynomial is given below.
⇒ 18x³ + 6x²y - 9x² - 3xy
Then the factor of the polynomial will be
⇒ 18x³ + 6x²y - 9x² - 3xy
⇒ 3x(6x² - 2xy - 3x - y)
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The first buses to X and Y leave a bus station at 7 am
Buses to X leave every 25 minutes.
Buses to Y leave every 20 minutes.
When will the buses to X and Y next leave at the same time
The time at which the buses will leave at the same time is 8:40 am.
What is a factor?A factor is a number that divides another number, leaving no remainder
Example: 3 x 2 = 6
2 is a factor of 3.
We have,
Buses:
X leaves every 25 minutes.
Y leaves every 20 minutes.
We need to find the least common multiples of 25 and 20.
25 x 4 = 100
20 x 5 = 100
100 is our least common multiple of 25 and 20.
We see that,
4 is a factor of 24 which gives 100.
This means after 4 times, bus X will leave with bus Y at the same time.
5 is a factor of 20 which gives 100.
This means after 5 times, bus Y will leave with bus X at the same time.
The first buses to X and Y leave a bus station at 7 am.
After 100 minutes, buses X and Y will leave at the same time.
= 7am + 100 minutes
= 7 + 60 minutes + 40 minutes
= 7 + 1 hour + 40 minutes
= 8:40 am
Thus,
The time at which the buses will leave at the same time is 8:40 am.
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in the figure, line segment AB, is tangent to the circle at point A
Answer:
AB = 12 in
Step-by-step explanation:
given a tangent and a secant from an external point to the circle, then the square of the measure of the tangent is equal to the product of the measures of the secant's external part and the entire secant, that is
AB² = BC × BD = 8 × 18 = 144 ( take square root of both sides )
AB = [tex]\sqrt{144}[/tex] = 12
Answer:
AB = 12 in
Step-by-step explanation:
Theorem
When a secant segment and a tangent segment meet at an exterior point, the square of the measure of the tangent segment is equal to the product of the measures of the secant segment and its external secant segment.
Secant: a straight line that intersects a circle at two points.
Tangent: a straight line that touches a circle at only one point.
Given:
Secant segment = BDExternal secant segment = BCTangent segment = AB[tex]\sf AB^2=BD \cdot BC[/tex]
[tex]\implies \sf AB^2=(8+10) \cdot 8[/tex]
[tex]\implies \sf AB^2=18 \cdot 8[/tex]
[tex]\implies \sf AB^2=144[/tex]
[tex]\implies \sf AB=\pm\sqrt{144}[/tex]
[tex]\implies \sf AB=\pm 12[/tex]
As distance is positive, AB = 12 in
Nico is planting grass in his backyard. He is using 1 foot grass squares and has to cover an area that is 24 feet long and 20 feet wide. How many 1 foot squares does Nico need
Answer:
480 tiles
Step-by-step explanation:
First we will find the area of Nico's backyard
Formula for area of a rectangle is length * width
24ft * 20ft = 480ft²
This means Nico will need 480 1ft² tiles
That is your answer
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this composite figure is made up of three similar shapes. what is the area of the figure?
Answer:
D : 66
Step-by-step explanation:
separate the composite figure into 3 different shapes then multiple then find the area of them all. after this just add them and you're good to go
also to get the area of a triangle you gotta add both sides then divide by 2.
In the diagram, triangle A B C and triangle C D A are congruent. What is the length of segment A D?
Answer:
Theres no picture but is it the square root of 33?
Step-by-step explanation:
Is the median or mean a more appropriate choice for describing the "centers" of these two distributions?
What are the characteristics of the function f(x) = 2(x-4)5?
O A. It is a reflection and a translation to the right of the parent
function.
O B. Both ends of the graph of the function go up.
I C. The left end of the graph of the function goes down, and the right
end goes up.
O D. It has 4 zeros and at most 5 relative maximums or minimums.
E. It has 5 zeros and at most 4 relative maximums or minimums.
OF. It is a vertical stretch and a translation to the right of the parent
function.
Answer:
Step-by-step explanation:
Answer: Options F, E, C.
Given : function f(x)=2(x-4)^5.
To find : What are the characteristics of the function .
Solution : We have given that f(x)=2(x - 4)^5.
By the End Point behavior : if the degree is even and leading coefficient is odd of polynomial of function then left end of graph goes down and right goes up.
Since , Option F is correct.
It has degree 5 therefore, function has 5 zeros and atmost 4 maximua or minimum.
Option E is also correct.
By transformation rule it is vertical stretch and shift to right (B )
Therefore, Option F , E , C are characteristics of the function .
Determine why the triangles are congruent. Choose from SSS, SAS, ASA, AAS, and HL. If the triangles are not congruent type NC.(Use all capitals in your answer)
Answer:
Step-by-step explanation:
Question 8(Multiple Choice Worth 3 points)
(07.06 LC)
Given a polynomial f(x), if (x - 4) is a factor, what else must be true?
Of(0) = 4
F(0)=4
F(0)= -4
F(4)=0
F(-4)=0
Need answers for this
Answer:
Step-by-step explanation:
Mean, Median,mode[tex]\boxed{Mean = \dfrac{Sum \ of \ all \ data}{number \ of data}}[/tex]
[tex]\sf = \dfrac{234 + 247 + 236+212+248+243+176+195}{8}\\\\= \dfrac{1791}{8}\\\\= 223.875[/tex]
Median:Arrange the numbers in ascending order.
176 , 195 , 212 , 234 , 236 , 243 , 247, 248
Number of data is even. So, median will be the average of 234 and 236
Median = average of the middle two terms.
[tex]\sf = \dfrac{234+236}{2}\\\\ =\dfrac{470}{2}\\\\= 235[/tex]
Mode is the data which is occurring more number of times.
Range = maximum - minimum
= 248 - 176
= 72
Which expression is equivalent to (startfraction (3 x y superscript negative 5 baseline) cubed over (x superscript negative 2 baseline y squared) superscript negative 4 baseline) endfraction) superscript negative 2? assume startfraction x superscript 10 baseline y superscript 14 baseline over 729 endfraction.
The equivalent expression of [tex](\frac{(3xy^{-5})^3}{(x^{-2} y^2) ^{-4}})^{-2}[/tex] is [tex]\frac{x^{10} y^{14}}{729}[/tex]
How to determine the equivalent expression?The expression is given as:
[tex](\frac{(3xy^{-5})^3}{(x^{-2} y^2) ^{-4}})^{-2[/tex]
Expand the expression
[tex](\frac{(3xy^{-5})^3}{(x^{-2} y^2) ^{-4}})^{-2} = (\frac{27x^3y^{-15}}{(x^{8} y^{-8}})^{-2[/tex]
Apply the law of indices
[tex](\frac{(3xy^{-5})^3}{(x^{-2} y^2) ^{-4}})^{-2} = (\frac{27}{(x^{5} y^{7}})^{-2[/tex]
Take the inverse of the expression
[tex](\frac{(3xy^{-5})^3}{(x^{-2} y^2) ^{-4}})^{-2} = (\frac{x^{5} y^{7}}{27})^2[/tex]
Apply the square exponent to the expression
[tex](\frac{(3xy^{-5})^3}{(x^{-2} y^2) ^{-4}})^{-2} = \frac{x^{10} y^{14}}{729}[/tex]
Hence, the equivalent expression of [tex](\frac{(3xy^{-5})^3}{(x^{-2} y^2) ^{-4}})^{-2}[/tex] is [tex]\frac{x^{10} y^{14}}{729}[/tex]
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Answer:A edge 2023
Step-by-step explanation:
Just did it and got it right
central angle is a right angle. Find x.
Answer:
It's 90° degrees .
Explanation :
A right angle meseaures correct 90° degrees .
HELPPP WITH MATH HOMEWORKKKK PLSSSS
Answer:
b, d, e
Step-by-step explanation:
Answer:
B, D, E
Read explanation... it always helps...
Step-by-step explanation:
alrighty, we know that anything positive multiplied by anything negative results in a negative number....
with that said.... b, d, and e are the only answer choices that result in a negative number that matches the expression -5/19
i hope this helps!!!
whats the answer to this. In circle K with m \angle JKL= 144m∠JKL=144 and JK=6JK=6 units, find the length of arc JL. Round to the nearest hundredth.
The length of arc JL is 24.46 units see attachment for diagram.
What is an arc?An arc is a part of the circumference of a circle that meets two radii of a circle to form a sector.
Analysis:
From bigger triangle, if we bisect 144, the line meets JL at 90°.
To find AL,
sin 72 = AL/6
AL = 6 sin 72 = 5.71
To find the angle at O
∠O = 2∠K ( twice angle at circumference is equal to angle at center)
∠O = 2 (144) = 288°
For smaller right-angled triangle,
sin 144 = AL/OL
sin 144 = 5.71/OL
OL = radius of circle = 5.71/0.587 = 9.73 unit
length of arc JL = ∅/360 x 2πr
= 144/360 x 2 x 3.142 x 9.73 = 24.46 units
In conclusion, the length of arc JL is 24.46 units
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Which expression are equivalent to the one below? 4^3 * 4^x
Step-by-step explanation:
[tex] = {4}^{3} \times {4}^{x} [/tex]
[tex] = {4}^{3 + x} [/tex]
[tex] = {4}^{x + 3} [/tex]
help me out pls 5 stars
Which expression is equivalent to (x – 2) – (5x + 2)?
A.
–4x – 4
B.
–4x – 2
C.
6x + 4
D.
6x
2 interior angles of a triangle me 50 degrees and 60 degrees , what is the measure of the third interior angle of the tringle?
Which of the following ordered pairs are y-intercepts? Check all that apply.
(4, 0)
(–1, 1)
(0, 0)
(0, –7)
(–2, –2)
(0, –0.25)
.
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
[tex]\diamond\large\textsf{\textbf{\underline{\underline{Question:-}}}}\diamond[/tex]
Which of the following ordered pairs are y-intercepts?
[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Answer and How to solve:-}}}}\diamond[/tex]
All y-intercepts have an x-coordinate of 0.
So a y-intercept looks like this:-
[tex]\sf{(0,b)}[/tex]
Where:-
b - y-intercept
So we conclude that the right options are:-
[tex]\square\!\!\!\!\!\Large\checkmark[/tex] (0,0)
[tex]\square\!\!\!\!\!\Large\checkmark[/tex] (0, -7)
[tex]\square\!\!\!\!\!\Large\checkmark[/tex] (0, -0.25)
Good luck.
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
Find the area of the triangle
Find the area of the isosceles triangles with side lengths 16 meters, 17 meters, and 17 meters.
Answer:
120 meters
Step-by-step explanation:
The triangle area using Heron's formula
Heron's formula gives the area of a triangle when the length of all three sides is known. There is no need to calculate angles or other distances in the triangle first. Heron's formula works equally well in all cases and types of triangles.
[tex]T=\sqrt{s(s-a)(s-b)(s-c)} \\[/tex]
[tex]T=\sqrt{25(25-17)(25-17)(25-16)}[/tex]
[tex]T=\sqrt{14400} =120[/tex]
What is the solution for x in the equation?
-2x+14+10x=34
A. x=5/2
B. x=2/5
C. x=1/8
D. x=6
Justify each step in solving the equation 2 + 3 = 4( − 6) by writing a reason for each statement
If the value of x will be 11 degrees. Then the measure of angle ∠AEB will be 72 degrees.
What is an angle?The angle is the distance between the intersecting lines or surfaces. The angle is also expressed in degrees. The angle is 360 degrees for one complete spin.
Vertically opposite angle - When two lines intersect, then their opposite angles are equal.
Two lines AC and BD are intersecting each other at point E.
The angle ∠AEB = 7x - 5 and the angle ∠CED = 2(4x - 8).
Then the measure of angle ∠AEB will be
We know the angle ∠AEB and ∠CED are the vertically opposite angle. Then they both are equal.
∠AEB = ∠CED
7x - 5 = 2 (4x - 8)
7x - 5 = 8x - 16
16 - 5 = 8x - 7x
x = 11
Then the measure of angle ∠AEB will be
∠AEB = 7x - 5
∠AEB = 7 (11) - 5
∠AEB = 77 - 5
∠AEB = 72°
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I'll mark as Brainliest, Please answer ASAP, Ihave MCAS tomorrow. How could this be true?? Please Explain.
Answer:
See below
Step-by-step explanation:
The number of loaves of bread remaining can only go as low as ZERO (you can't have negative loaves) ...and can only go as high as when h = 0
so 0 = 42-3.5 h
3.5 h = 42
h = 12 and min is h = 0 ( when there are 42 loaves to start)
So:
0≤ h ≤ 12
4) The radius of a circle is 9 feet. What is the circle's area?
r=9 ft
4) Use 3.14 for л.
square feet
Answer:
254.34 square feet
Step-by-step explanation:
Area of a circle: πr²
Given:
π = 3.14r (radius) = 9 ftSubstitute the given values into the formula:
A = (3.14)(9)²
A = (3.14)(81)
A = 254.34 ft²
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A.
coke corporation paid larry $550 every 3 months (quarterly payment) for the dividends on 500
shares invested in the company. the current stock price is $600 per share.
how much did he make in dividends for the year?
b. what was the quarterly dividend per share?
c. what was the annual dividend per share?
d. what was the dividend yield (percent)?
Answer:
i think its b sorry if im wrong
Step-by-step explanation:
What is the quotient? startfraction n 3 over 2 n minus 6 endfraction divided by startfraction n 3 over 3 n minus 9 endfraction
The quotient of the fraction n³ / (2n - 6) ÷ n³ / (3n - 9) is 2/3
How to solve fractionn³ / (2n - 6) ÷ n³ / (3n - 9)
multiply by the reciprocal of n³ / (3n - 9)= n³ / (2n - 6) × 1 / n³ / (3n - 9)
= 2n - 6 / 3n - 9
= 2(n - 3) / 3(n - 3)
= 2/3
Therefore, quotient of the fraction n³ / (2n - 6) ÷ n³ / (3n - 9) is 2/3
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Answer:
2/3
Step-by-step explanation:
A textbook has 428 numbered pages, starting with 1.
A textbook has 428 numbered pages, starting with 1. You are equally likely to stop on any of the pages if you flip through the book randomly.
What is the probability that you turn to page 45?
Answer:
1/428 or 0.00233644859% chance
Step-by-step explanation:
Simply because there is only one page 45 use 428 as your denominator and then divide 1 by 428!
Answer: 1/428
Step-by-step explanation: There are 428 pages so that is the denominator. 45 is only one page so 1 is the numerator. Therefore it is a 1 in 428 chance that you would land on 45. Hope this helped!
Joe's bathroom floor is 7 feet wide and 4 feet long. He will cover the floor with 4-inch square tiles. How many tiles does Joe need? A 7 B 252 С 680 D 1008
Answer:
The answer will be 7 tiles.
Step-by-step explanation:
Firstly,you need to find the area of the bathroom floor.
Area of bathroom floor is =length×breadth
which is the formula for a rectangular floor
A=4×7
A=28cm squares.
Then to find how many tiles Joe needs=A÷4-inch square tile
=28÷4
=7 tiles.
HURRY UP (100) POINTS PLS HURRY (10 MINS LEFT)
Translate the following equation into words: 5c - 4 = 11 Five, times a number minus four, is eleven. A number, times five minus four, is eleven. Five times a number, subtracted from four, is eleven. Four less than the product of five and a number, is eleven.
Answer:
Four less than the product of five and a number, is eleven.
Step-by-step explanation:
"The product of five and a number": 5c
"Four less than": - 4
"is eleven": = 11
"Four less than the product of five and a number is eleven":
5c - 4 = 11
Four less than the product of five and a number is eleven
No is cProduct of 5 and c is 5c
4 less than it means 5c-4
The result is 11
So expression is 5c-4=11the question is “how much does a package of corn cost” but the amount next to it is 2/189. can someone help lol
Answer:
I'm assuming it's sayin that u get 2 for 1.89?