The quotient of the provided polynomial divide by the (x+6) with the help of synthetic division method is,
[tex]f(x)=4x^2-27x+167-\dfrac{996}{x+6}[/tex]
What is the 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 result.
The polynomial given in the problem is,
[tex]4x^3-3x^2+5x+6[/tex]
This polynomial is divided by the linear factor (x+6). Thus use -6 to for the synthetic division of polynomial as,
-6 | 4 -3 +5 6
x -24 +162 -1002
Add the numbers as,
4 -27 167 -996
Put these values, we get,
[tex]f(x)=4x^2-27x+167-\dfrac{996}{x+6}[/tex]
Hence, the quotient of the provided polynomial divide by the (x+6) with the help of synthetic division method is,
[tex]f(x)=4x^2-27x+167-\dfrac{996}{x+6}[/tex]
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Answer: D
Step-by-step explanation:
Edge 2023
evaluate each expression (-1) • (-2) • 3
If someone you know wanted to start investing, what best practices would you recommend they follow so they can harness the power of compounding? Explain your reasoning
The best practices that i would recommend they follow so they can harness the power of compounding is to invest early.
Harnessing the power of compoundingFor a person or an individual that what to harness the power of compounding the best practice is for the person to start his or her investment early or in the first ten years.
Investing early will give you more advantage as it help you to grow your wealth especially if you have a long term investment plan as the amount invested will continue to grow and compound.
Inconclusion the best practices that i would recommend they follow so they can harness the power of compounding is to invest early.
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Could anyone help and give a correct answer?
Answer:
4.0 cm
Step-by-step explanation:
The volume of the frustum is the volume of the full cone (with height y + 7) minus the volume of the upper smaller cone (with height y).
Formula:
volume of cone = (1/3)πr²h
For the full cone:
r = 8 cm
h = y + 7
volume of cone [in cm³] = (1/3)π(8²)(y + 7)
volume of cone [in cm³] = (1/3)π(64)(y + 7)
volume of cone [in cm³] = (64π/3)(y + 7)
For the upper cone:
volume of cone = (1/3)πr²h
volume of cone = (1/3)π(4²)y
volume of cone = (16π/3)y
For the frustum:
volume = volume of full cone - volume of upper cone
volume = (64π/3)(y + 7) - (16π/3)y
volume = 64πy/3 + 448π/3 - 16πy/3
volume = 48πy/3 + 448π/3
Now we solve for y:
48πy/3 + 448π/3 = 670.2
50.265y + 469.144 = 670.2
50.265y = 201.056
y = 4.0
Answer: 4.0 cm
An account has a principal of $300 and a simple interest rate of 3.9%. The table shows the simple interest earned and the new account balance for 3 and 5 years
Complete this table for the 8th year
Time (years)
3,5,8
Simple interest earned($)
35.10
58.50
(Blank)
New account balance ($)
335.10
358.50
Answer:
35.975 lakhs simple interest earned
solve for x, x/5 + 6 < 2
Answer:
x < -20
Step-by-step explanation:
1. x/5 + 6 - 6 < 2 - 6
2. x/5*5 < -4*5
3. x < -20
Since you are multiplying the equation by a positive number, you do not need to switch the inequality sign.
You poured some 12% alcohol solution and some 6% alchohol solution into a mixing container. Now you have 480 grams of 7.5% alcohol solution/ Write and solve a system of eqauations to find how many grams of 12% solution and how many grams of 6% solution you poured into the mixing container.
You mixed _____ grams of 12% solution with _____ grams of 6% solution
Answer:
You mixed 364.8 grams of 12% solution with 115.2 grams of 6% solution
Step-by-step explanation:
x = 12% grams
480 -x = 6% grams
.08 ( x) + .06 ( 480-x) = .0752 (480)
.012x + 30 - .06x = 37.6
x = 364.8 gm of 12% 115.2 gm of 6%
PLEASE MARK BRAINLIEST!!!
HAVE A GREAT DAY!
only in simplest form
Answer:
4 : 3
Step-by-step explanation:
24: 18
Divide each side by 6
24/6 : 18/6
4 : 3
Answer: 4:3
Step-by-step explanation: so firstly we will see the common factors of 24 and 18.
the factors of 24 is 1, 2, 3, 4, 6, 8, 12, 24
the factors of 18 is 1, 2, 3, 6, 9, 18
we can see that the common factors are 1, 2, 3, 6
so the largest common factor is 6
so you divide 24 by 6 and that will give you 4
then you divide 18 by 6 and it will give you 3
so 24:18 simplify =4:3
What is the standard form equation of the line shown below?
Answer:
C.
Step-by-step explanation:
14/3 = 4.7 which seems about right for the Y-intercept & the gradient is - 1/3.
Gradient = rise /run
= 1/3
Hope this helps!
Answer:
x + 3y = 14
Step-by-step explanation:
Points: (2, 4), (-1, 5)
y - y1 = (y2 - y1)/(x2 - x1) × (x - x1)
y - 4 = (5 - 4)/(-1 - 2) × (x - 2)
y - 4 = 1/(-3) × (x - 2)
-3y + 12 = x - 2
x + 3y = 14
What is the area of the polygon?
Answer:
Step-by-step explanation:
the total space or region bound by the sides of a polygon.
Paula and Jack bought equal-sized bottles of juice. Paula drank
1
8
of her bottle. Jack drank
5
8
of his bottle. How much more juice does Paula have left than Jack?
Answer:
1/2 bottle
Step-by-step explanation:
Jack drank 5/8 -1/8 = 4/8 = 1/2 bottle more than Paula did. That means Paula has 1/2 bottle of juice more remaining than Jack does.
Answer: d. yur welcome
Step-by-step explanation:
Two friends ellie and lauren had bought there first cars
A supervisor finds the mean number of miles that the employees in a department live from work. He finds x Overbar = 29 and s = 3. 6. Which statement must be true? z37 is within 1 standard deviation of the mean. Z37 is between 1 and 2 standard deviations of the mean. Z37 is between 2 and 3 standard deviations of the mean. Z37 is more than 3 standard deviations of the mean.
The Z-37 lies between the 2 and 3 standard deviations of the mean. Then the correct option is C.
What is normal a distribution?It is also called the Gaussian Distribution. It is the most important continuous probability distribution. The curve looks like a bell, so it is also called a bell curve.
The z-score is a numerical measurement used in statistics of the value's relationship to the mean of a group of values, measured in terms of standards from the mean.
A supervisor finds the mean number of miles that the employees in a department live from work.
μ = 29 and σ = 3.6
Z-37
Then we have
[tex]\rm Z - 37 = \dfrac{37-29}{3.6}\\\\Z -37 = 2.22[/tex]
Then Z-37 lies between the 2 and 3 standard deviations of the mean. Then the correct option is C.
More about the normal distribution link is given below.
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Answer:
ITS C
Step-by-step explanation:
Evaluate 1 2/ 3 × 1 1 /5 Give your answer in its simplest form
Answer:
3 2/3
Step-by-step explanation:
First, change the mixed numbers into improper fractions:
1 2/ 3 = 5/3
Last, multiply
5/3 × 1 1 /5
11/3
or
3 2/3
Hope this helps!
mark brainliest if possible!
HELP I NEED TO GET MY HOMEWORK DONE ASAP PLEASE
if sin p=0.4, sin r=0.8, and r =10 then what is p?
A large school district found that 88 of 100 randomly selected students at East High School had internet access
at home. A separate random sample from West High showed 79 of 100 students had internet access at home.
Administrators used those results to make a 90% confidence interval to estimate the difference between the
proportion of students at each school who have internet access at home (PE - Pw). The resulting interval was
approximately 0.09 0.086. They want to use this interval to test H, : PE = Pw versus H : PE + Pw at
the a = 0.10 significance level. Assume that all conditions for inference have been met.
Based on the interval, what do we know about the corresponding P-value and conclusion at the a=0.10
level of significance?
It can be deduced that the p-value is less than the level of significance.
What is a level of significance?It should be noted that the level of significance simply means the measure of the strength of the evidence that's is present in a sample before the null hypothesis is rejected.
From the complete question, the confidence interval is a given as (0.004, 0.176). In this case, the p-value is less than the level of significance and they should conclude that there's a difference between the proportions.
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Which statements are true? Select three options.
O AB and Eare parallel.
O A and is are parallel.
O E and Rs are perpendicular.
AB and is must intersect.
o CG lies in plane X.
Rs lies in plane X
RS
Answer:
please attach a picture so I may assist
6+3x=x-8
Solve the answer for X
Answer:
18
Step-by-step explanation:
6+3=9 so do 9 add 8 =18 is another word is inverse
What is the measure of angle z in this figure?
Enter your answer in the box.
Answer:
137
Step-by-step explanation:
because we know that angle z shares a line or is supplementary to the angle with 43 degrees, and a straight line is always 180 degrees, so to find the other angle, you would take 180-43=137.
Answer:
137
Step-by-step explanation:
we know that angle z shares a line with the angle with 43 degrees, and a straight line is always 180 degrees, to find the other angle, you take 180-43=137.
Given: AB = CD and BC = AD.
Prove: AB l| CD and BC || AD.
I need the reasons and the statements!!
Step-by-step explanation:
AC = AC by reflexive
∆ABC = ∆CDA by SSS
Angle CAD = angle ACB by CPCTC
Since alt interior angles are congruent, BC //AD
Repeat the same process to show AB//CD
Kevin works two part-time jobs and wants to earn a total of at least $504 per week. He earns an
average of $12 per hour delivering food and $14 per hour working retail
A.) Write the inequality representing the scenario
B.) Graph the inequality
Kevin earning at least $504 implies that he wants to earn $504 or more
The inequality representing the scenario is [tex]12x + 14y \ge 504[/tex]
How to interpret the scenario?The given parameters are:
Earnings = At least $504
Food delivering = $12 per hour
Retail = $14 per hour
Represent the number of hours delivering food with x, and the retail work with y.
So, the earning is:
Earning = 12x + 14y
The earning is at least $504.
So, we have:
[tex]12x + 14y \ge 504[/tex]
See attachment for the graph of the inequality
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given a polynomial function f(x) = -x^2 + 2x + 1 and an exponential function g(x) = 2x, what key features do f(x) and g(x) have in common
This shows that both functions have the same y-intercept
Polynomial and exponential functionsGiven the following functions as shown:
f(x) = -x^2 + 2x + 1
g(x) = 2^x
The y-intercept occurs at x = 0
For f(x) = -x^2 + 2x + 1
f(0) = -0^2 + 2(0) + 1
f(0) = 1
For the g(x), the y intercept is caculated as:
g(0) = 2^0
g(0) = 1
This shows that both functions have the same y-intercept
Learn more on intercept here: https://brainly.com/question/1884491
Answer:
Both f(x) and g(x) have the same y-intercept of (0, 1). D
Step-by-step explanation:
PLEASE HELP THIS IS DUE IN 1 HOUR IF I DON'T PASS THIS I'LL FAIL THE CLASS!!!!
Find the area of the sector. Use 3.14 for the value of 1. Round your answer to the
nearest tenth. *
165°
4 m
Answer:
52
Step-by-step explanation 1/3 i believe it would be 1/6 of 314 which would be 52 and 1/3.
What is 1/4 x 12? I know this is kind of and easy and stuff but i'm searching it up and it keeps showing decimals no matter what I do and this is really bugging me. Can anyone help me?
Answer:
3
Step-by-step explanation:
[tex]\cfrac{1}{4}\cdot 12\implies \cfrac{1\cdot 12}{4}\implies \cfrac{12}{4}\implies \cfrac{4+4+4}{4}\implies \cfrac{4}{4}+\cfrac{4}{4}+\cfrac{4}{4}\implies 1+1+1\implies 3[/tex]
Can anyone help me out?
Answer:
X=20
Step-by-step explanation:
(3x+10)+(6x-10)=180
9x=180
180/9=20
X=20
If angles A and B are supplement, and angle B has a measurement of 22°, then angle A has a measurement of ___________ (fill in the blank)
HELP PLEASE!!!
A star is cut from 1 cm grid paper.
What is the approximate perimeter and area of the
star?
The perimeter is about
cm.
The area is about
cm2
Answer:
The answer is 16 cm
Step-by-step explanation:
If the area was 16cm^2 before, then each side was 4 cm long since each side of a square is equal, and the area for a square is the length of the sides squared. The square root of 16 is 4, so that is why the sides were 4 cm. When you make each side 1 cm shorter, they're now all 3 cm. 3^2 is 9, so the new area is 9 square centimeters.
Answer:
22 19
Step-by-step explanation:
Please help!! Algebra!!
Work Shown:
y = expression for the missing side
perimeter = 9x - 1
side1+side2+side3 = perimeter
(2x+4) + (x-2) + (y) = 9x - 1
3x+2 +y = 9x-1
y = 9x-1-3x-2
y = 6x - 3
( help me please ) ….
Answer:
The slope is 6/5, ;)))))))
complete the table. if you get stuck, skip an entry and come back to it. Or consider drawings a diagram of two rectangles that share a side.
Answer:
column 1
5 × 98
33 x 12
3 x 6
100 x .1
8 x (3/4)
3×7
4×2
column 2
5(100-2)
33(10+2)
3(10-4)
100(0.06+0.04)
8(1/2+1/4)
3(3+4)
4(6-4)
column 3
5×100-5×2
33×10+33×2
3×10-3×4
100×0.04×100×0.06
8×1/2+8×1/4
3×3+3×4
4×6-4×4
column 4
500-10
330+66
30-12
4+6
4+2
9+12
24-16
value
490
396
18
10
6
21
8
the last row could also be 8x1