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
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!
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:
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:
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
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♨
please help asap!! thank you :)
Answers
Answer:
About 3800
Step-by-step explanation:
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%
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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
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 x and y
x=_____
y=_____
Answers
triangle ANE measurements are just 2 times the measurements of TLC
Can y’all help me please I will give Brainlist
Answers
Answer:
It would be a five
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
what websites are similar to brainly?
Answers
Websites similar to Brainly: Quizlet and Socratic
Can I pls have brainliest :(
Answer:
Step-by-step explanation:
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
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
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
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
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:
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:
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
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
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
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.
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
Please this is a test !!!!!!!!!!!!
Answers
Good luck
I need help with angles!!!!!!!!1
Answers
Answer:
3
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
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
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.
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