Answers
9514 1404 393
Answer:
B (correctly marked)
1/3, 1/2, 4
Step-by-step explanation:
The rational root theorem tells you the rational roots will be of the form:
±(divisor of constant)/(divisor of leading coefficient)
Here, that means they will be of the form ±{1, 2, 4}/{1, 2, 3, 6}.
Right away, you can eliminate choices A and C because there cannot be 9 in the numerator, and the number of possibilities goes beyond just 1, 2, and 4.
Possible rational roots are ...
±1, ±2, ±4, ±1/2, ±1/3, ±1/6, ±2/3, ±4/3
__
I like a graphing calculator for finding the roots of higher-degree polynomials. A graph of this one shows roots to be 1/3, 1/2, and 4.
_____
Descartes' rule of signs tells you there are 0 negative real roots, and 1 or 3 positive real roots. The ratio of the first two coefficients suggests that one of the roots may be relatively large, so it might work to try 4.
((6·4 -29)·4 +21)·4 -4 = (-20 +21)·4 -4 = 0
So, x=4 is a root. Synthetic division (2nd attachment) shows the remaining quadratic factor to be 6x^2 -5x +1. Factoring this*, we have ...
6x^3 -29x^2 +21x -4 = (x -4)(6x^2 -5x +1) = (x -4)(3x -1)(2x -1)
The roots associated with the quadratic factor are 1/3 and 1/2.
The real roots are 1/3, 1/2, and 4.
_____
* To factor ax^2 +bx +c, you look for factors of the product ac that have a sum of b. Here, you're looking for factors of 6·1 = 6 that have a sum of -5.
6 = (-1)(-6) = (-2)(-3) . . . sums are -7 and -5
The numbers we're looking for are -2 and -3. Then the factorization is (6x -2)(6x-3)/6 = (3x -1)(2x -1).
Note that we have identified 'p' and 'q' as the factors of 'ac' that total to 'b'. The factorization is then (ax+p)(ax+q)/a. Here, both factors end up with coefficients of x that are not unity. That is not always the case.
There are other ways to make use of 'p' and 'q'. You can also rewrite the quadratic as ax^2 +px +qx +c, and factor by grouping.
Related Questions
Evaluate the function f(x) = -2x + 9 when x = 2
Answers
Answer:
I think x= 5
Step-by-step explanation:
because u put 2 where x is supposed to go so it would be -2(2)+9 and -2(2)=-4 and then add 9 and that =5
Jimmy walks 1/2 mile in 1/6 hours. How fast does he walk in miles per hour?
A)1/12 miles per hour
B)3 miles per hour
C)1/3 miles per hour
D)12 miles per hour
Answers
Find the constant of proportionality for the table of values.
х
4
5
6
7
у
10
12.5
15
17.5
The constant of proportionality is k =
Answers
Answer:
1 / 3
What times xxx gives us yyy?
Hint #22 / 3
If we multiply each xxx-value by \blueD{7}7start color #11accd, 7, end color #11accd, we get to each corresponding yyy-value:
y=\blueD{7}xy=7xy, equals, start color #11accd, 7, end color #11accd, x
Hint #33 / 3
The constant of proportionality (r)(r)left parenthesis, r, right parenthesis in the equation y=rxy=rxy, equals, r, x is \blueD{7}7start color #11accd, 7, end color #11accd.
Step-by-step explanation:
I think that can help :) wanna chat add me as friend
Joseph ran LaTeX: 2\frac{3}{4}2 3 4 miles in LaTeX: \frac{2}{5}2 5 of an hour. How fast did Lin run in 1 hour? (try to leave your answer in a fraction) Nathaniel ran LaTeX: 8\frac{2}{3}8 2 3 miles in LaTeX: \frac{4}{3}4 3 of an hour. How fast did Nathaniel run in 1 hour? (try to leave your answer in a fraction) Who ran the fastest, Nathaniel or Joseph?
Answers
Answer:
Nathaniel ran fastest
Step-by-step explanation:
For Joseph
Joseph ran 2 3/4 miles 2 /5 of an hour.
Speed = Distance/Time
Speed = 2 3/4 miles ÷ 2/5 hour
= 11/4 ÷ 2/5
= 11/4 × 5/2
= 55/8 miles/hour or 6.875 miles/hour
How fast did he run in 1 hour? (try to leave your answer in a fraction)
Hence, this is calculated as:
2/5 hour = 55/8 miles per hour
1 hour = x
Cross Multiply
x = 55/8 ÷ 2/5
x = 55/8 × 5/2
x = 275/16 miles per hour
x = 17 3/16 miles per hour
Nathaniel ran LaTeX: 8 2/3 miles in 4 /3 of an hour. How fast did Nathaniel run in 1 hour? (try to leave your answer in a fraction)
Speed = Distance/Time
Speed = 8 2/3 miles ÷ 4/3hour
= 26/3 ÷ 4/3
= 26/3 × 3/4
= 26/4 miles/hour
How fast did he run in 1 hour? (try to leave your answer in a fraction)
Hence, this is calculated as:
4/3 hour = 26/4miles per hour
1 hour = x
Cross Multiply
x = 26/4 ÷ 4/3
x = 26/4 × 3/4
x = 78/16 miles per hour
x = 4 14/16 miles per hour
= 4 7/8 miles per hour
Who ran the fastest, Nathaniel or Joseph?
Hence, from the calculation above, Nathaniel ran fastest
Which statement correctly compares the function shown on this graph with
the function y = 2x - 5?
Answers
Answer:
c is the answer
Step-by-step explanation:
bruh can someone help me ill give brainlist
Answers
Answer:
x=2
Step-by-step explanation:
6+8x=6x+10
6+2x=10 Subtract 6 from both sides
2x=4 subtract 6 from both sides
x=2 divide by 2 on both sides
Hope this helps plz mark brainliest :D
PLZ!!! HELP. Blake has traveled 65% of the distance to his grandpearents house. he traveled 26 miles. how many total miles will he travle?
Answers
Answer:
40
Step-by-step explanation:
Answer:
40 I think so if not I hate u
When a number is increased by 3 and the result is multiplied by 2, the product is 14. What is the number?
I WILL MARK BRAINLIEST IF YOU HELP ME PLZ I NEED TO GIVE THIS IN!!!
Answers
Answer:
4
Step-by-step explanation:
u divide 14 by 2 and then subtract 3
hope this helps!
What is the correct answer for both?
Answers
Answer:
15) C (3, -4)
16) B (-1, 1)
Step-by-step explanation:
8x + 6y = 0
8x + 2y = 16
8x + 2y = 16
8x = 16 - 2y
x = 2 - 1/4y
8x + 6y = 0
8(2 - 1/4y) + 6y = 0
16 - 2y + 6y = 0
16 + 4y = 0
4y = -16
y = -4
8x + 2y = 16
8x + 2(-4) = 16
8x - 8 = 16
8x = 24
x = 3
________________
-20x - 3y = 17
10x - 4y = -14
-20x - 3y = 17
-20x = 17 + 3y
x = -17/20 - 3/20y
10x - 4y = -14
10(-17/20 - 3/20y) - 4y = -14
-8.5 - 1.5y - 4y = -14
-8.5 - 5.5y = -14
-5.5y = -5.5
y = 1
-20x - 3y = 17
-20x - 3(1) = 17
-20x - 3 = 17
-20x = 20
x = -1
The Size of Jupiter is 2 x 10 to the power of 27 and the size of Saturn is 6 x 10 to the power of 26. How many times bigger is Jupiter than Saturn?
Answers
Answer:
40
Step-by-step explanation:
pretty simple not trying to be mean
Answer:
[tex]jupiter \: is \: approximately \to \:\boxed{ 3.333 \: times \: bigger \: than \: saturn. } [/tex]
Step-by-step explanation:
[tex]if \: The \: Size \: of \: Jupiter \: is \to2 \times 10 {}^{27} \\ ........... and...... \\ the \: size \: of \: Saturn \: is \to 6 \times 10 {}^{26} . \\ then : Jupiter \: is \to \: (\frac{2 \times 10 {}^{27} }{6 \times 10 {}^{26}} ) \\ \: bigger \: than \: Saturn. \\ \frac{2 \times 10 {}^{27} }{6 \times 10 {}^{26}} = \frac{1}{3} \times {10}^{1} = \frac{10}{3} = \boxed{ 3.3333333333 }\\ [/tex]
♨Rage♨
sisters work again as usual
Answers
Answer:
2/35
Step-by-step explanation:
You can use Keep Change Flip.
You keep the first fraction.
Change the division sign to a multiplication sign.
Then flip the second fraction around.
And this only works with division.
Please this is a test !!!!!!!!!!!!
Answers
Good luck
Explain how the volume of a right cone relates to the volume of a cylinder with the same base
and height. Use diagrams and volume formulas to explain the relationship.
Answers
Answer:
its 1/3 of the volume of a cyinder with the same base
Step-by-step explanation:
a pyramid has the same policy with prisms of the same base
Volume is a three-dimensional scalar quantity. If the radius and the height of a cone and a cylinder are the same, then the volume of the cylinder is thrice the volume of the cone.
What is volume?
A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.
Assume a cone and a cylinder such that the radius of the base of both the figures is r units, while the height of the cone and cylinder both is h units.
The volume of the cone with radius r units and height h units now can be written as,
Volume of the cone = (1/3) × π × r² × h units³
The volume of the cylinder with a radius of r units and the height of h units now can be written as,
Volume of the Cylinder = π × r² × h units³
Taking the ratio of the volume of the cone and the volume of the cylinder,
Volume of the cone/Volume of the cylinder = (1/3)πr²h units³ / πr²h units³
Volume of the cone/Volume of the cylinder = 1/3
Volume of the cylinder = 3 × Volume of the cone
Hence, if the radius and the height of a cone and a cylinder are the same, then the volume of the cylinder is thrice the volume of the cone.
Learn more about Volume:
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PLZ HELP ME ON THISSS!!
Approximate the location of the following numbers on a number line. In your final answer, submit a hand drawn number line or a number line created using technology.
Answers
Answer:
1.12
2.10
3.11.40
4.10.48
5.10.95
6.10.72
7.11.53
Step-by-step explanation:
you can put them in order
What are some interesting things about math teachers?
Answers
Answer:
Some math teachers actually explain what we have to do. Math teachers are the coolest!! Not all, but some :)
Step-by-step explanation:
Find the solution if x=6, y=8, and z=3
2x + 3y - z
Answers
Answer:
33
Step-by-step explanation:
2(6) + 3(8) - 3
12 + 24 + - 3 = 33
Answer:
33
Step-by-step explanation:
2(6) +3(8) -3
what websites are similar to brainly?
Answers
Websites similar to Brainly: Quizlet and Socratic
Can I pls have brainliest :(
Answer:
Step-by-step explanation:
The meat shop is running a special: 3 KC Strips for $37.89. What is ty cost per KC Strip?
Answers
Explanation: you divide
At New City High School, 11 out of 20 high school seniors have a part-time job. This ratio is the same at Oldville High School, which has 480 seniors. How many seniors at Oldville High School have a part-time job?
Please help!!
Answers
Answer:
264
Step-by-step explanation:
Divide 480 by 20. (24)
Multiply 24 by 11.
Answer should be 264
* Hope that helped
6+(-4)= please help me I don’t here it :)
Answers
Answer:
2
Step-by-step explanation:
Answer:
2
Step-by-step
6 + - 4 = 6 - 4 = 2
math math pls answer
Answers
Answer:
D
Step-by-step explanation:
see 0.12 is equal to 0.120
now its easy to tell that 0.124>0.12 because 4 is greater than 0
HOPE THIS HELPED !!!! :D
Answer:
ans d
Step-by-step explanation:
The expression (3+i)(1+2i) can be written Jim the form a +bi, where a and b are integers. What are the values of a and b?
Answers
Answer:
a = 1
b = 7
Step-by-step explanation:
We start by opening the brackets
We have;
3 + 6i + i - 2
= 1 + 7i
comparing with a + bi
a = 1 and b = 7
Students are auditioning for a school play. Only 18 of the 45 students
auditioning will get a part in the play. What percent of the students
who audition will be in the play?
Answers
The students who audition will be in the play is 40%
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
Given that Students are auditioning for a school play
Only 18 of the 45 students auditioning will get a part in the play.
We need to find the percent of the students who audition will be in the play.
45x=18
Divide both sides bby 45
x=18/45
x=0.4
Now multiply with 100 as it is hundredth part
0.4×100=40%
Hence, the students who audition will be in the play is 40%
To learn more on Percentage click:
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the cost (in dollars) of making n birthday cakes is represented by C= 24n + 35. How many birthday cakes are made when the cost is $419?
Answers
Answer:
n= 16
Step-by-step explanation:
Answer:
Step-by-step explanation:
419 = 24n + 35
419 - 35 = 24n
384 = 24n
384/24 = n
16 = n
Therefore, n = 16
Justin drives west at 20 m/s, then slows to a stop at the red light. A graph of his acceleration over time is shown below, where eastward is the positive acceleration direction. Which graph shows his velocity over time
Answers
Answer:
See attached.
Step-by-step explanation:
please help asap!! thank you :)
Answers
Answer:
About 3800
Step-by-step explanation:
Can y’all help me please I will give Brainlist
Answers
Answer:
It would be a five
Step-by-step explanation:
What number would go in the blank? 4 x 6 = 6 x ___
6
4
10
Answers
Answer:
4
Step-by-step explanation:
4 x 6 = 6 x 4
find x and y
x=_____
y=_____
Answers
triangle ANE measurements are just 2 times the measurements of TLC
I need help with angles!!!!!!!!1
Answers
Answer:
3
Step-by-step explanation: