Answer:
2
Step-by-step explanation:
A factor is a number that can evenly divide into another number.
Let’s list all the factors of both numbers.
26: 1, 2, 13, 26
14: 1,2, 7, 14
Now find the GCF, or greatest common factor. The biggest number that is a factor of both 26 and 14 is 2.
Therefore, the GCF of 26 and 14 is 2.
Given: 3x < -6. Choose the solution set.
A. {x | x < -2}
B. {x | x > -2}
C. {x | x < 2}
D. {x | x > 2}
Answer:
When we divide the inequality by 3 we get x < -2 so the answer is A.
Use the Factor Theorem to examine the polynomial p(x)=6x4+x3−45x2+26x+24. Which binomial is a factor of p(x)?
2x+3
(3x-2)
(2x-1)
(3x−4)
Answer:
(D) 3x−4
Step-by-step explanation:
Factor Theorem
Given a polynomial P(x) and a linear function x-a, If P(a)=0, then the linear function x-a is a factor of P(a).
In Option A:
[tex]L$inear Function =2x+3\\Set 2x+3=0$\\x=-\frac{3}{2} \\p(x)=6x^4+x^3-45x^2+26x+24\\p(-\frac{3}{2})=6(-\frac{3}{2})^4+(-\frac{3}{2})^3-45(-\frac{3}{2})^2+26(-\frac{3}{2})+24\\\\p(-\frac{3}{2})=-89.25[/tex]
In Option B
[tex]L$inear Function =3x-2\\Set 3x-2=0$\\x=\frac{2}{3} \\p(x)=6x^4+x^3-45x^2+26x+24\\p(\frac{2}{3})=6(\frac{2}{3})^4+(\frac{2}{3})^3-45(\frac{2}{3})^2+26(\frac{2}{3})+24\\\\p(\frac{2}{3})=22.8[/tex]
In Option C
[tex]L$inear Function =2x-1\\Set 2x-1=0$\\x=\frac{1}{2} \\p(x)=6x^4+x^3-45x^2+26x+24\\p(\frac{1}{2} )=6(\frac{1}{2} )^4+(\frac{1}{2} )^3-45(\frac{1}{2} )^2+26(\frac{1}{2} )+24\\\\p(\frac{1}{2} )=26.25[/tex]
In Option D
[tex]L$inear Function =3x-4\\Set 3x-4=0$\\x=\frac{4}{3} \\p(x)=6x^4+x^3-45x^2+26x+24\\p(\frac{4}{3} )=6(\frac{4}{3})^4+(\frac{4}{3} )^3-45(\frac{4}{3} )^2+26(\frac{4}{3})+24\\\\p(\frac{4}{3} )=0[/tex]
We can see that only Option D: 3x−4 gives a result of 0. Therefore, by the factor theorem, it is a factor of the polynomial.
what number times there self eqaul to 64
Answer:
8
Step-by-step explanation:
8 times 8 = 64
Mrs. Jackson made a line plot of the times it took students to complete a project.
She made a line plot to display the data.
Line plot named as ALTDCTime Spent Completing ProjectALTDC shows a number line from 0 to 5. The number line is divided into 10 equal parts. 1 dot on 1, 2 dots on one and half, 4 dots on 2, 3 dots on two and half, 2 dots on three and half, 1 dot on 4 and 1 dot on four and half is given.
Part A
What is the outlier in the data set?
A. 1
B. 2
C. 3
D. There is no outlier.
Part B
Which explains your reasoning in Part A?
A.
There is no value that is very different from the other values.
B.
This is the most common value in the data set.
C.
This value is very different from the other values.
D.
There are no data values above this number.
Answer: D
Step-by-step explanation: D
as an estimation we are told 5 miles is 8km convert 84km to miles
Step-by-step explanation:
84 km to miles is 52.195 miles
A hemispherical bowl of internal diameter
36 cm
contains liquid. This liquid is to
be filled in cylindřical glasses of
diameter
6cm and
of
height
6cm. Find the
number of
glasses that can be filled
Answer: 72 bottles
Given,
internal diameter=36cm
internal radius=36/2=18cm
volume of bowl=2/3 πr³
=2/3(22/7)(18³)
=2×22×18³/7×3
=12219.4cm³
volume of bottle=πR²h
=22/7(3²)(6)
=22×9×6/7
=169.7cm³
no. of bottles required=12219.4/169.7
=72.23=72 bottles approx
Given quadrilateral RSTU, determine if each pair of sides (if any) are parallel and which are perpendicular for the
coordinates of the vertices.
R(0,0), 5(6,3), T(5,5), U(-1,2)
Answer:
US is parallel to RT, and UR is parallel to ST
ST is perpendicular to US and UR is perpendicular to RT
Basically anywhere that there's lines that make right angles are perpendicular to each other
I hope this helps
Step-by-step explanation:
I don’t know which one it is I dint get it?
Answer:
5,5,5
Step-by-step explanation:
an equilateral triangle
Find the missing exponet
Write down the value of angle y
Answer:
y= 71 Reason: alternate angle to 71 degrees
z = 44
Step-by-step explanation:
You already solve for x.
y = 71 because it is alternate to 71 degrees you see up there.
For z:
all angles inside a triangle sum upto 180
z=180-(71+65) = 44
a 150 adults complete a survey 80 of them a woman what the ratio
Answer:
The number of men to number of women be 7 : 8 .
Step-by-step explanation:
Answer:
7:8
Step-by-step explanation:
Order the simplification steps of the expression below using the properties of rational exponents. [tex]\sqrt[3]{7}=7^{\frac{1}{3}}[/tex]
A.) [tex]\left(7^{\frac{1}{3}}\right)^3=7^{\frac{1}{3}}\cdot 7^{\frac{1}{3}}\cdot 7^{\frac{1}{3}}=7^{\frac{1}{3}}\cdot ^{\frac{1}{3}}\cdot ^{\frac{1}{3}}=7^{\frac{3}{3}}=7^1=7\\[/tex]
B.) [tex]\left(7^{\frac{1}{3}}\right)^3=7^{\frac{1}{3}}\cdot 7^{\frac{1}{3}}\cdot 7^{\frac{1}{3}}=7\cdot 7^{\frac{1}{3}}=3\cdot \frac{1}{3}\cdot 7=1\cdot 7=7[/tex]
C.) [tex]\left(7^{\frac{1}{3}}\right)^3=7^{\frac{1}{3}}\cdot \:7^{\frac{1}{3}}\cdot \:7^{\frac{1}{3}}=7^{\frac{1}{3}}+\:^{\frac{1}{3}}+\:^{\frac{1}{3}}=7^{\frac{3}{3}}=7^1=7[/tex]
D.) [tex]\left(7^{\frac{1}{3}}\right)^3=7^{\frac{1}{3}}\cdot \:7^{\frac{1}{3}}\cdot \:7^{\frac{1}{3}}=7\cdot \left(\frac{1}{3}+\frac{1}{3}+\frac{1}{3}\right)=7\cdot \frac{3}{3}=7\cdot 1=7[/tex]
The answer is C.) [tex]\left(7^{\frac{1}{3}}\right)^3=7^{\frac{1}{3}}\cdot \:7^{\frac{1}{3}}\cdot \:7^{\frac{1}{3}}=7^{\frac{1}{3}+\frac{1}{3}+\frac{1}{3}}=7^{\frac{3}{3}}=7^1=7[/tex]
what you plug in for calculator
\left(7^{\frac{1}{3}}\right)^3=7^{\frac{1}{3}}\cdot \:7^{\frac{1}{3}}\cdot \:7^{\frac{1}{3}}=7^{\frac{1}{3}+\frac{1}{3}+\frac{1}{3}}=7^{\frac{3}{3}}=7^1=7
When Jonathan bought 12 peaches and pears, at $1.50 per peach and
at $1.60 per pear, the total price was $18.50.
How many peaches and pears did he buy, respectively?
Fill in the blanks provided and solve for the answer.
OA= (1,3,-1) and OD=(-1,0,n) find the value of n for which the length of AD is 7 units
Answer:
n = 5
Step-by-step explanation:
0A = (1,3,-1) and OD=(-1,0,n)
AD = √ (-1-1)^2 + (0-3)^2 + (n-(-1))^2
7 = √ (-2)^2 + (-3)^2 + (n+1)^2
7 = √4 + 9 + (n+1)^2
Now squaring both sides we have :
7^2 = (√4 + 9 + (n+1)^2)^2
49 = 4 +9 + (n+1)^2
49 = 13 + (n+1)^2
49 -13 = (n+1)^2
36 = (n+1)^2
Taking the square root of both sides we have :
√36 = √(n+1)^2
6 = (n+1)
6 = n + 1
6 - 1 = n
5 = n
Therefore n = 5
What is the answer please help 3(2+8)
Answer:
30
Step-by-step explanation:
3*10 = 30
Answer:
30
Step-by-step explanation:
PEMDAS says you do (8+2) first, which equals 10, then you multiply 3 by 10, which equals 30.
*I WILL MARK YOU BRAINLIEST!!!!!*
-3
Explanation:
Rate of change in the interval
X=0 to X=3 is given by,
[tex]r = \frac{f(3) - f(0)}{3 - 0} \\ here \\ f(3) = 1 \\ f(0) = 10 \\ r = \frac{1 - 10}{3} \\ \: \: \: = \frac{ - 9}{ 3} \\ \: \: \: \: = - 3 \\ hope \: it \: helps.....[/tex]
I'M BEING TIMED HELP
The acceleration due to gravity is the constant of variation. What is the acceleration due to gravity of a falling object?
Answer:
acceleration = 9.8 m/s^2
Step-by-step explanation:
The problem expects the user to do the rate of change between any two pairs of (time, velocity) from the table, and see that they all render the same value. Notice as well that the rate of change of a difference in velocities divided a difference in time, will render units of acceleration (in this case [tex]\frac{m}{s^2}[/tex]
Let's use for example (0 s ,0 m/s) and the following point: (1 s, 9.8 m/s)
the rate of change is: [tex]acceleration= \frac{9.8-0}{1-0} \frac{m}{s^2} =9.8 \, \frac{m}{s^2}[/tex]
In fact you can use any two pairs of the table, and will get the same result.
So this is the acceleration is [tex]9.8 \, \frac{m}{s^2}[/tex]
The acceleration due to gravity is 9.8 m/s^2.
Please answer correctly !!!!!! Will mark brainliest !!!!!!!!!
There are three routes from a person's home to her place of work. There are four parking lots where she works, three entrances into her building, two elevators to her floor, and one route from each elevator to her office door. a) How many ways can she go from her home to her office? [2 marks] b) If she makes her various choices at random, what is the probability that she will take Morningside Drive, park in lot A, use the south entrance, and take elevator 1? [3 marks] c) As she starts her car one morning, she recalls parking lots A and B are closed for repair. What is the probability that she will take Industrial Avenue, park in lot D, use the north entrance, and take elevator 2?
Answer:
a) 72
b) 1/72
c) 1/36
Step-by-step explanation:
a) number of ways she can choose route= 3C1 = 3
number of ways she can choose parking lots= 4C1 = 4
number of ways she can choose entrances= 3C1 = 3
number of ways she can choose elevators= 2C1 = 2
number of ways she can go to office= number of ways she can choose route×number of ways she can choose parking lots×number of ways she can choose entrances×number of ways she can choose elevators
number of ways she can go to office= 3×4×3×2
= 72
b) Probability of morning side= number of morning side/ total number of routes= 1/3
probabiltiy of Parking lot A= number of parking lot A/ total number of parking lot= 1/4
probability of south entrance= number of south entrance/ total number of entrances= 1/3
probablity of elevator 1= number of elevator 1/ total number of elevator= 1/2
combine probability= 1/3× 1/4×1/3×1/2 = 1/72
c) Probability of Industrial Avenue= number of industrial avenue/ total number of avenue= 1/3
Probability of parking lot D= number of parking lot D/ total number of parking lot after deducting number of parking lots A and B = 1/2
Probability of north entrance= number of north entrance/ total number of entrance= 1/3
probablity of elevator 2= number of elevator 2/ total number of elevator
= 1/2
combine probability= 1/3 × 1/2 × 1/3 ×1/2
= 1/36
Angelina wants to put $4,550 in a bank account that earns 5.6% interest compounded quarterly, how much interest will she earn in 8 years?
Answer:
7,035.95
Step-by-step explanation:
If your Current Principal Is 4,550.00, and your interest rate is 5.6%, then in 8 years you would have 7,035.95 if your interest rate is anually.
Please help me with my question!!
Answer:
Step-by-step explanation:
y = 10x + 50
x ---> no of weeks
y - intercept = 50
Write as an algebraic expression
Answer:
17. [tex]2^{6}[/tex]
19. 2 * 5
21. 8²
PLZ HELP :) 10 PTS
Justify whether matrix A is invertible.
A.
Yes, because its determinant is not equal to zero.
B.
Yes, because its determinant is greater than zero.
C.
No, because its determinant is zero.
D.
No, because its determinant is less than zero.
E.
No, because its determinant is not equal to zero.
We have that
The Matrix A is a singular square matrix and because its determinate is zero. No the Matrix A is inveritible because its determinant is not equal to zero.
Option E is correct
From the question we are Given the matrix:
[tex]A= \begin{bmatrix}6 & -4 \\-9 & 6\end{bmatrix}[/tex]
Invertible Matrix
In linear algebra, an n-by-n square matrix A is called invertible if there exists an n-by-n square matrix B such that
[tex]AB=BA=I_n[/tex]
where In denotes the n-by-n identity matrix and the multiplication used is ordinary matrix multiplication.
Invertible Matrix characteristics does not apply to singular square matrix, A square matrix is singular if and only if its determinant is zero
Generally the determinate of Matrix A is given as
[tex]A= \begin{bmatrix}6 & -4 \\-9 & 6\end{bmatrix}[/tex]
[tex]D=(6*6)-(-4*-9)\\\\D=0[/tex]
In conclusion
The Matrix A is a singular square matrix and because its determinate is zero.
So, No the Matrix A is inveritible because its determinant is not equal to zero.
Option E is correct
For more information on this visit
https://brainly.com/question/18028537
Which graph represents y<-3x?
Step-by-step explanation:
Desmos Graphing Calculator
Billy invests £800 for 5 years in savings account By the end of the years he has received a total of £96 simple interest Work out the annual rate of simple interest
Answer: 2.4%
Step-by-step explanation:
SI = prt / 100
96 = ( 800 x r x 5) / 100
96 = 40r
r = 96 / 40 = 2.4%
Mrs. Meyer's soap is $3.99 for 12 ounces. What is the cost per ounce?
Answer:
It's about 33 cents per ounce. The exact answer would be 0.3325
Step-by-step explanation:
Answer:
0.33
Step-by-step explanation: i did it on a piece of paper
Mrs. Allen, a high school math teacher, is grading quizzes and tests this weekend. She has at most 4 hours, or 240 minutes, to spend
grading, and she would like to get at least 60 quizzes and tests graded. On average, it takes her 3 minutes to grade each quiz and
8 minutes to grade each test,
If x represents the number of quizzes and y represents the number of tests Mrs. Allen grades this weekend, which graph represents
the solution set?
Answer:
(55,9)
Step-by-step explanation:
^
What is the range of the function?
A. (3)
B. {3, 9, 12)
C. (-2, 2, 3, 4, 9, 12)
O D. {-2, 2, 3, 4
The range is all the possible y values, so the set with all the arrows.
Answer: B. {3,9,12}
Answer:
B
Step-by-step explanation:
The range means the y coordinates or output
In this the output are the numbers on the right.
We can also find the answer by eliminating.
Option A could not be the answer because it is only one of the numbers from the range.
Option B is the answer because it includes all the numbers from the range.
Option C and Option D could not be the answer because they include other numbers from the domain (which we are not trying to find).
This is an example here below
Hope this helped!!
My question is 3x + (2− 4x)
Answer:
3x+(2-4x)
= 2 (3x+4x)
=2 (7x)
=2/7x
=7x/2
=3.5
Step-by-step explanation:=3.5
a food scientist wants to know if increasing the amount of lemon juice in a hummus recipe by 10% will increase the shelf life of the product, so he prepares 100 Badges of the recipe - 50 following the old recipe and 50 with extra lemon juice –and?checks each batch once per day to see how long it stays fresh. What type of data source is this?
Answer:
b. Experiment
Step-by-step explanation:
Setting up conditions so that you can examine the outcome is called an "experiment."
Answer:
[tex]\fbox{\begin{minipage}{10em}Option B-Experiment\end{minipage}}[/tex]
Step-by-step explanation:
As described, the food scientist performs the research based on the actual data, without using a computer or any simulation devices.
=> The data source is not generated from a computer simulation.
=> Option A-Simulation is incorrect.
The food scientist intentionally prepares the research by conducting an experiment, in which 100 badges are used, 50 badges following the old recipe and 50 badges with extra lemon juice.
=> This is not a subjective process, but a purposely attempting to observe the amount of lemon juice in a specific manner.
=> This is not a survey.
=> Option C-Survey is incorrect.
=> Option B-Experiment is correct.
Hope this helps!
:)
