Answer:
its option B : 18x3 – 12x2 + 9x – 6
Step-by-step explanation:
[tex]12( \frac{ -2 }{3}) {}^{2} +23( \frac{ - 2}{3} )+10= \frac{16}{3} − \frac{46}{3} +10=0[/tex]
12x² + 15x + 8x + 10 has a binomial factor of (3x+2).
What is a Quadratic equation?ax²+bx+c=0, with a not equal to 0 is a quadratic equation, which is a second-order polynomial equation in a single variable. It has at least one solution because it is a second-order polynomial equation, which is guaranteed by the algebraic fundamental theorem. The answer could be simple or complicated.
We may utilize the factor theorem, which asserts that if a polynomial f(x) has a component (x - a), then f(a) = 0, to identify which polynomial has (3x + 2) as a binomial factor.
In this situation, finding a value of x that reduces 3x + 2 to zero is necessary since we are trying to discover a polynomial that contains (3x + 2) as a component. We obtain x = -2/3 by solving 3x + 2 = 0.
Let's try the polynomials one by one:
(a) 6x³ + 3x² + 4x + 2:
f(-2/3) = 6(-2/3)³ + 3(-2/3)² + 4(-2/3) + 2
= -8/3 - 4/9 - 8/3 + 2
= -32/9,
so (3x + 2) is not a factor.
(b) 12x² + 15x + 8x + 10:
f(-2/3) = 12(-2/3)₂ + 15(-2/3) + 8(-2/3) + 10
= 16/3 - 10 - 16/3 + 10
= 0,
so (3x + 2) is a factor.
(c) 18x³ - 12x² + 9x - 6:
f(-2/3) = 18(-2/3)³ - 12(-2/3)² + 9(-2/3) - 6
= -32/3 + 8/3 - 6 - 6
= -32/3,
so (3x + 2) is not a factor.
(d) 21x⁴ + 7x³ + 6x + 2:
f(-2/3) = 21(-2/3)⁴ + 7(-2/3)³ + 6(-2/3) + 2
= 64/27 - 56/27 - 4 + 2
= 2/27,
so (3x + 2) is not a factor.
Therefore, the only polynomial that has (3x + 2) as a binomial factor is 12x² + 15x + 8x + 10.
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Given the data 4, y, 9, 5, 2, 7. Find y if the mean is 5
Answer:
3
Step-by-step explanation:
(4+y+9+5+2+7)/6=5
(27+y)/6=5
Y=3
PLS HELP ILL GIVE BRAINLEST!!!!!!!!
Answer:
pay back is so good!..
Step-by-step explanation:
A bus route takes about 45 minutes. One driver's times for 9 runs of the route are shown.
Times to Complete Bus Router (min)
44.6 44.8 45.0 44.7 44.6 44.9 44.8 44.8 45.0
Calculate the mean of the bus times.
The mean time for this driver to complete the route was
minutes.
a railroad crew can replace 450 meters of rails in 3 days
how many kilometers of rail can they repair in 24 days?
how am i supposed to solve this ?
Answer:
Step-by-step explanation: so first you got to distribute the on both sides so like the 2 and the ten from there you just eliminate and do it like normal. I’m sorry I’m bad at at explaining it but I hoped it helped some how :)
HELP ME PLEASE https://brainly.com/question/22734415
I’m gonnna fail :(
Helppp me please if u can thx .
A teacher would like to estimate the mean number of steps students take during the school day. To do so, she selects a random sample of 50 students and gives each one a pedometer at the beginning of the school day. They wear the pedometers all day and then return them to her at the end of the school day. From this, she computes the 98% confidence interval for the true mean number of steps students take during the school day to be 8,500 to 10,200. If the teacher had used a 90% confidence interval rather than a 98% confidence interval, what would happen to the width of the interval?
It would increase by 8%.
It would decrease by 8%.
It would increase, but not necessarily by 8%.
It would decrease, but not necessarily by 8%.
Answer:
It would decrease, but not necessarily by 8%
If the teacher had used a 90% confidence interval rather than a 98% confidence interval, the width of the interval would decrease, but not necessarily by 8%.
Option D is the correct answer.
What is a confidence interval?A confidence interval is a range of values that is likely to contain the true value of an unknown parameter, such as a population means or proportion, based on a sample of data from that population.
It is a statistical measure of the degree of uncertainty or precision associated with a statistical estimate.
We have,
The width of a confidence interval is determined by the level of confidence and the sample size.
A higher confidence level requires a wider interval, and a larger sample size typically results in a narrower interval.
Since the sample size is fixed in this case, changing the confidence level will result in a change in the width of the interval.
As the confidence level increases, the width of the interval also increases. This is because a higher confidence level requires a larger margin of error, which is added to the point estimate to create the interval.
Therefore,
If the teacher had used a 90% confidence interval rather than a 98% confidence interval, the width of the interval would decrease, but not necessarily by 8%.
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Find the volume of a right circular cone that has a radius of 4 inches and a height of 12 inches. A. 36 in. B. 48 in. C. 52 in. D. 64 in.
Answer:
A) 36 inches
36 Incheon is the correct answer
Answer:
D.) 64pi in.³
Step-by-step explanation:
I got it right in quiz, trust me.
I hope this helps! ^^
anthony can run at the rate (in meters per minute) shown in the graph below) which of the following best describes anthony’s rate of speed
Step-by-step explanation:
no this is a test I cant hlep i will tell ms.jules you are searching for the answers
PLEASE HELP! all u have to do is determine if it is positive or negative!
Answer:
I think it is positive.
Step-by-step explanation:
Iam soory if Iam wrong.
Chad earns $4 each day walking his neighbor's dog. He spends $8 purchasing dog treats
for the dog. Owen spends $3 each day at the local coffee shop. He has $13 saved from a
birthday gift. How many days until the boys have an equal amount of money?
Calculate the value of (6.9x10^-3)x(2x10^9) Give your answer in standard form.
the temperature is -2c if the temputure rises to 15c , what is the new temputure
Answer:
13c
Step-by-step explanation:
-2 + 12 = 13
Find the length of side x in simplest radical form with a rational denominator
Answer:
x = 8/√3
Step-by-step explanation:
We solve that above question using the trigonometric function of sin
Sin theta = Opposite/Hypotenuse
Theta = 60°
Opposite = 4
Hypotenuse = x
Hence,
Sin 60 = 4/x
Cross Multiply
sin 60 × x = 4
x= 4/sin 60
in rational form
sin 60 = √3/2
Hence, x = 4/ √3/2
= 4 ÷ √3/2
= 4 × 2/√3
= 8/√3
if given a radius of 6mm, what is the diameter?
if given a diameter of 22ft, what is the radius?
Answer:
If the radius is 6mm, the diameter is 12mm.
If the diameter is 22 ft, the radius is 11 ft.
Step-by-step explanation:
1st one) When you try to find the diameter of any circle, and you already have the radius, you need to multiply it by two (double it)
6 x 2 = 12mm
2nd one) Then to do the opposite, you need to divide the diameter by 2.
22/2 = 11 ft
Hope this helped :)
If You Have NO EXPLANATION Don't ANSWER
Answer:
B. A = 1/2(7)h
Step-by-step explanation:
Formula for area of triangle = 1/2 x base x height
H is the height of the triangle.
7cm is identified as the base of the triangle.
1/2(7)h is also the same thing as 1/2 x 7 x h basically.
Answer:
B
Step-by-step explanation:
The area (A) of a triangle is calculated as
A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )
Here b = 7 and h = h , then
A = [tex]\frac{1}{2}[/tex] (7) h → B
Given the following perfect square trinomial, fill in the missing term. (2 points)
9x^2 +___+25
Answer:
30x
Step-by-step explanation:
missing must be 2×3x×5=30x
9x²+30x+25=(3x+5)²
Giving brainlist to whoever answers
Write the word sentence as an equation. 12 less than a number m equals 20.
Answer:
12 - m = 20
Explanation: Less than can also be a subtraction symbol so 12 less than a number, which the number is unknown in this case would be replaced with m then equals to 20. 12 - m =20
complete the table... plz help
Answer:
3=20
4=15
5=12
Step-by-step explanation:
Identify the measure of the angle indicated.
76
х
The value of 2 that makes lines a and b parallel is
Answer:
x = 76°
Step-by-step explanation:
76° and x are alternative interior angles, so they are congruent when lines a and b are parallel
I’m not sure how to do this someone explain please
Pictures listed in order... from A-C
If z = 7, what is the value of the equation? ( only write the numeric value for the answer)
4z + 5 = ?
Answer
4z+5=
4*7+5=33
33
Step-by-step explanation:
CAN SOMEONE PLEASE HELP!!! I DONT UNDERSTAND. I WILL GIVE BRAINLIEST!!!
Answer:
586.76
Step-by-step explanation:
Take the area of the rectangular prism = 348
Find the area of the cylinder = 477.52
Divide the cylinder by 2 = 238.76
Add both together = 586.76
joshua is planting a triangular garden he sketched his diagram measurements are 12m and 10m the questions asks to find the missing side PLZ THIS IS URGENT
Answer:
It's 16m
Step-by-step explanation:
Let's say the missing side is C, and since the triangle is right-angle triangle, you can use Pythagoras theorem. Which is
C squared is equal to A squared plus B squared
Like this: c^2 = a^2+b^2
Then
c^2= (10)^2 + (12)^2
c^2= 100 + 144
c^2= 244
c=
[tex] \sqrt{244} [/tex]
c = 15.6
Hope this helps :)
Malik and Nora are playing a video game.
Malik starts with m points and Nora starts n points.
Then Malik gets 150 more points, while Nora loses 50 points.
Finally, Nora gets a bonus and her score is doubled.
Nora now has 50 more points than Malik.
Enter an equation that represents the relationship between m and n
given the information above.
Answer:
Equation below
Step-by-step explanation:
An equation that represents the relationship between m and n is 2(n - 150) - (m + 150) = 50 .
The expression that represents Malik's score after he gets 150 points = m + 150
The expression that represents Nora's score after she loses 50 points = n - 150
Nora's score after her score is doubled = 2(n - 150)
The difference between Nora and Malik's score is 50. This can be represented as: 2(n - 150) - (m + 150) = 50
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Pls helpppp and thank you
What is the solution of 3x + 5 = 2x - 7?
Answer:
[tex]x=-12[/tex]
Step-by-step explanation:
[tex]3x+5=2x-7[/tex]
Subtract 2x from each side,
[tex]x+5=-7[/tex]
Subtract 5 from each side to find x,
[tex]x=-12[/tex]
Help Me Please Quick Will Mark Brainliest if correct : - )
Answer:
y=2x+3
Step-by-step explanation:
Lets verify
[tex]\\ \sf\longmapsto -1=2(-2)+3=-4+3=-1[/tex]
[tex]\\ \sf\longmapsto 1=2(-1)+3=-2+4=1[/tex]
Hence verified
Answer:
C): y = 2x + 3
Step-by-step explanation:
• when x is -2:
[tex]{ \tt{y = 2(- 2) + 3}} \\ { \tt{y = - 1}}[/tex]
• when x is -1:
[tex]{ \tt{y = 2( - 1) + 3}} \\ { \tt{y = 1}}[/tex]
• since y holds for -2 and -1, it'll hold for other positive integers.