Answers
Answer:
The correct answer is given by option a.
Step-by-step explanation:
Rational roots theorem:
In the rational roots theorem, we take the leading coefficient(which multiplies the term of x with the highest exponent) and the independent term(which does not multiply any value of x).
The possible roots have the format p/q, in which p are the factors of the independent term, and q are the factors of the leading coefficient.
In this question:
Leading coefficient: 3
Independent term: 15
Factors of the independent term: {1, 3, 5, 15} -> p
Factors of the leading coefficient: {1,3} -> q
Possible roots:
All possible values, positive or negative, in which p is divided by q. So
[tex]\pm \frac{1}{1}, \pm \frac{1}{3}, \pm \frac{3}{1}, \pm \frac{3}{3}, \pm \frac{5}{1}, \pm \frac{5}{3}, \pm \frac{15}{1}, \pm \frac{15}{3}[/tex]
So, without the repeated terms, they are:
[tex]\pm \frac{1}{3}, \pm \frac{5}{3}, \pm 1, \pm 3, \pm 5, \pm 15[/tex]
The correct answer is given by option a.
Related Questions
I need help with solving systems of linear equations through elimination.
1.) 8x = 3y + 38
24= 6y + 9x
a. all real numbers
b. (4,-2)
c. (4,-4)
d. (6,3)
2.) 6 = 2x + y
7x = 3 - 3y
a. (15,-36)
b. (-5,6)
c. (0,0)
d. (-15,36)
3.) 11x = 5 + 10y
7y = -2x +45
a. (-5,10)
b. (5,5)
c. (14, -4)
d. No solution
Answers
Answer:
See explanation
Step-by-step explanation:
8x = 3y + 38
24= 6y + 9x
Rearrange;
3y - 8x = -38 * 2 -------(1)
6y + 9x = 24 * 1 -------(2)
6y - 16x = -76 -------(3)
6y + 9y = 24 -------(4)
Subtract (4) from (3)
-25y = -100
y= 100/25
y = 4
Substitute y =4 into(1)
3y - 8x = -38
3(4) - 8x = -38
12 -8x = -38
-8x = -38 - 12
x = 50/8 = 6 2/8
2) 6 = 2x + y
7x = 3 - 3y
Rearrange;
2x + y = 6 * 3 --------(1)
7x + 3y = -3 * 1 --------(2)
6x + 3y = 18 ---------(3)
7x + 3y = -3 ---------(4)
Subtract (4) from (3)
-x = 21
x = -21
Substitute x = -21 into (1)
2x + y = 6
2(-21) + y = 6
-42 + y = 6
y = 6 + 42
y = 48
3)
11x = 5 + 10y
7y = -2x +45
Rearrange
11x - 10y = 5 * 2 ---------(1)
2x + 7y = 45 * 11 ---------(2)
22x - 20y = 10 --------(3)
22x + 77y = 495 --------(4)
Subtract (4) from (3)
-97y = -485
y = 5
Substitute y =5 into (1)
11x - 10y = 5
11x - 10(5) = 5
11x - 50 = 5
11x = 5 + 50
11x = 55
x = 55/11
x = 5
If segment AB is 28, then segment AD is___?
Answers
Answer:
C. 14
Step-by-step explanation:
The whole side is 28 (AB), so AD must be half of AB. 28/2=14
2) Will the border line of the graph of y< -22 +42 +5 be a solid line or a broken
line?
Answers
Answer:
69[tex]) ) 22 + 42 + 5 = 69 \sqrt{()xy { { \sqrt[ log_{e\% \sin( \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \infty \alpha \pi\% log( log( log( log( log( log( log( log(?) ) ) )[/tex]Jordan took a math test. the number of questions he got COrrect to the number of questions he got INcorrect was 8:3. if he got 9 questions incorrect, how many did he get correct ?
(i would appreciate it if u answer with a step by step explanation since i have to show my work :)
Answers
Answer:
I'm not sure if this is correct
24
Step-by-step explanation:
8:3
?:9
9÷3=3
So then you would be able to times 8 by 3 also which gives you 24
It's just a guess, sorry if it doesn't help
In a population of 2000 students, 230 are left-handed. A random sample of size
50 is selected and the number of left-handed students is recorded. If we
collected many more samples, which of the following could describe the
sampling distribution?
Answers
Add the polynomials: (3x+3x2-4x+5) + (x3-2x2+x-4)
Answers
Answer......
x^2+3x+1
Answer:
The answer is x^2+3x+1
Step-by-step explanation:
15 points and brainliest! Solve for x. 7x + 3 = 17
A: x= 2
B: x=7
C: x=20
D: x=27
Answers
Answer:
Its A
Step-by-step explanation:
7x + 3 =17
-3 ( 17 -3 = 14)
7x = 14. (14 divided by 7)
u get x=2
Which quadrants are (-4,5) in
Answers
Answer:
Quadrant 2
Step-by-step explanation:
Take a look at the picture I added it should help you on futures questions like this :)
y<1/4x+1 y≥ 3x+2 identify one point that is a solution and identify any point that is NOT a solution
Answers
Answer:
(-1,-1) works (5,5) does not
Step-by-step explanation:
y<1/4x+1[tex]\geq[/tex]3x+2
-1<1/4(-1)+1[tex]\geq[/tex]3(-1)+2
-1<-1/4+1[tex]\geq[/tex]-3+2
-1<.75[tex]\geq[/tex]-1
someone help please show work
Answers
Answer: m=18
Step-by-step explanation:
i need help !!!!!!!!!!!!!!!!!!!
Answers
Answer:
117 yards is the approximate distance
Step-by-step explanation:
6 devide by 7.3 so what is the answer
Answers
Answer:
0.82
step-by-step explanation:
The scatter plot shows the relationship between elevation and temperature on a certain mountain peak in North America. Which statements are correct?
A. The data shows one potential outlier
B. The data shows a linear association
C. The data shows a clustering pattern
D. The data shows a negative association
E. As elevation increases, temperature decreases
Answers
The scatter plot shows the data having a clustering pattern, and as elevation increases, temperature decreases.
What is a scatter plot ?"Scatter plots are the graphs that present the relationship between two variables in a data-set. It represents data points on a two-dimensional plane or on a Cartesian system. The independent variable or attribute is plotted on the X-axis, while the dependent variable is plotted on the Y-axis. These plots are often called scatter graphs or scatter diagrams."
"A scatter plot is also called a scatter chart, scattergram, or scatter plot, XY graph. The scatter diagram graphs numerical data pairs, with one variable on each axis, show their relationship"
Since, the graph is a scatter plot so the data shows a clustering pattern.
and from the plot we can conclude that as elevation increases, temperature decreases.
Hence, C, E are the correct option.
To know more about scatter plot here
https://brainly.com/question/13984412
#SPJ2
Answer:
B, D, E
Step-by-step explanation:
The data shows a linear association.,The data shows a negative association., As elevation increases, temperature decreases. Additionally : The data does not show a potential outlier., The data does not show a clustering pattern.
why every comment but don't
Answers
Answer:
thanks
Step-by-step explanation:
How do you convert 4/20 into a decimal
Answers
Answer:
Inieterlov
Step-by-step explanation:
Si un electrón no consume, ni libera energía el átomo se encuentra enSi un electrón no consume, ni libera energía el átomo se encuentra en
Answer:
0.2
Step-by-step explanation:
Divide the numerator by the denominator
please help me!! thank you!!
Answers
Answer:
(x, y) --> (2/3x, 2/3y)
Step-by-step explanation:
What is 4^0 in exponential form?
Answers
what is the equal expresson to (4x+12)+8x
Answers
12x + 12
Step-by-step explanation:
(4x + 12) + 8x
remove brackets.
➡️ 4x + 12 + 8x
4x + 8x(4 + 8)x 12x➡️ 12x + 12
A container in the shape of a pyramid has a rectangular base with dimensions of 5 inches by 15 inches. The height of the rectangular pyramid is 12 inches. Marbles fill half the volume of the container.
How many more cubic inches of marbles are needed to finish filling the container?
Enter your answer in the box.
in3
Answers
Answer:
150
Step-by-step explanation:
1) the full volume of the given pyramide may be calculated according to the formula:
V=1/3 *Area_of_base*height;
V=1/3 *(5*15)*12=300 (in³).
2) the half of the calculated volume is:
300/2=150 (in³)
Answer:
150
Step-by-step explanation:
What is the face value of 2 in the number 286?
Answers
Answer:
face value = 2
Step-by-step explanation:
Face value = 2
Place value = 200
I hope im right!!
60 in scientific notation
Answers
Answer:
I think the answer would be 6.0x10¹
If 60 was in scientific notation it would look like 6.0 because there is only one zero and we would need to move the decimal one place to the right. So we multiply 10¹ so we can move that decimal to the right to make 60.
the worst carrier of contamination of food service is
Answers
Answer:
Dirty unwashed hands
Step-by-step explanation:
Answer:
Clean hands and clean food
Step-by-step explanation:
jk
Write the number that is five less than ten million.
Answers
Answer:
9,999,995
Step-by-step explanation:
35 POINTS AND BRAINLIEST PLEASE ANSWER PROPERLY MUST BE DONE IN 10MIN
Answers
C 89.54 goes to A
D goes to B
A goes to C
B goes to D
F goes to E
Since the laptop is on sale, that would make it $206.99.
what is the area of a circular swimming pool with the radius of 3 feet
Answers
Answer:
9[tex]\pi[/tex]
Step-by-step explanation:
r=3
Area of circle: [tex]\pi[/tex][tex]r^{2}[/tex]
Can anyone help complete this table?
Answers
melanie walks 2 large dogs and 8 small dos as part of her dog walking business the simplified ratio of large dogs to small dogs is
Answers
Answer:8:36
Step-by-step explanation:
Answer: 1 : 4
Step-by-step explanation:
The simplified ratio of large dogs to small dogs is 1 : 4.
The original, unsimplified ratio would be 2 : 8, because there are 2 large dogs for every 8 small dogs. But to simplify it, we can divide each side by 2.
2 ÷ 2 = 1, while 8 ÷ 2 = 4.
Therefore, the simplified ratio of large dogs to small dogs is 1 : 4.
Hope this helps!
12.(06.02 LC)
Audrey is trying to find the equation of a line parallel to y -
x -5 in slope-intercept form that passes through the point (-6, -1). Which of the following equations will she use? (6 points)
3
Oy-(-) = (x - (-
6)
Oy-(-6) = } (x-(-1))
Oy -(-6) = (x-(-1)
Oy-(-1) = (x - (-6))
Answers
Answer:its c i took the test
Step-by-step explanation:
im right
The cost to rent a car is $25 plus an additional $0.15 for each mile the car is driven. How many miles was a car driven if
it had a bill of $71.80?
479
312
O
454
645
Answers
Write an equation of the line that passes through the points (−6,20) and (0, 8).
Answers
Answer:
y = -2x + 8
Step-by-step explanation:
(−6, 20) and (0, 8)
First you want to find the slope of the line that passes through these points. To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)
Plug in these values:
(8 - 20) / (0 - (-6))
Simplify the parentheses.
= (-12) / (6)
Simplify the fraction.
-12/6
= -2
This is your slope. Plug this value into the standard slope-intercept equation of y = mx + b.
y = -2x + b
To find b, we want to plug in a value that we know is on this line: in this case, I will use the second point (0, 8). Plug in the x and y values into the x and y of the standard equation.
8 = -2(0) + b
To find b, multiply the slope and the input of x(0)
8 = 0 + b
b = 8
Plug this into your standard equation.
y = -2x + 8
This is your equation.
Check this by plugging in the other point you have not checked yet (-6, 20).
y = -2x + 8
20 = -2(-6) + 8
20 = 12 + 8
20 = 20
Your equation is correct.
Hope this helps!
