Hi there!
[tex]\large\boxed{(x -3)(x + 2)(x + 1)}[/tex]
We can use long division to find the other roots of p(x).
We know that x + 1 is a factor, so:
Set up:
Find how many times that the first term in the divisor goes into the first of the dividend. Subtract from like terms.
x² - x - 6
x + 1 | x³ + 0x² - 7x - 6
x³ + x²
0 - x² - 7x
- x² - x
0 - 6x - 6
-6x - 6
0 0
Therefore, x² - x - 6 is another factor. We can factor this further:
Find two numbers that add up to -1 and multiply into -6. We get:
-3, 2
(x - 3)(x + 2)
The entire polynomial factored is:
(x -3)(x + 2)(x + 1)
What is the greatest common factor of 10 and 13?
ANSWER IN LESS THEN 3 MINS AND I'LL GIVE BRAINLIEST
Answer:
the answer for this would be 1
Determine whether each of the following is a proposition. If so, write its negation. You may use symbols to help organize your thinking, but each negation should be given in plain English. a. All dogs go to heaven. b. Do you have a Nintendo Switch or a PlayStation 5
Answer:
a). Not a proposition
b). Proposition
Step-by-step explanation:
A statement or a proposition is defined as a statement which is known to be true or it is known to be false. But a proposition cannot be both false and true.
If the sentence is not known to be true or false then the sentence is not considered to be a proposition or a statement.
a). All dogs go to heaven.
We do not have any idea that whether all dogs go to heaven or not. Since we do not know whether the sentence is true or false, hence it is not a proposition or a statement.
b). Do you have a Nintendo Switch or a PlayStation 5
In this sentence, I can have either a Nintendo Switch or a PlayStation 5. So the sentence can be either true or false. Since we know the sentence is can be either true or can be false, thus it is a proposition.
The table below shows the educational attainment of a country's population, aged 25 and over. Use the data in the table, expressed in millions to find the probability that a randomly selected citizenaged 25 or over , was a man with 4 years of college (or more)
Answer:
The answer is "[tex]\bold{\frac{22}{171}}[/tex]"
Step-by-step explanation:
There are 22 million males that have completed four years of undergraduate, according to the data below: (or more). This is predicated on a population of 171 million.
The chances we're searching about [tex]\frac{(22\ million)}{(171\ million)} = \frac{22}{171}[/tex]
however
This proportion could be further reduced because 22 and 171 have no common features (other than 1).
Identify the decimals labeled with the letters A B and a C
Answer:
A = 0.46, B = 0.61 and C = 0.46
Step-by-step explanation:
From the number line given, we can see that the distance between 0.5 and the next value is by 0.01, hence to get B, we will add 0.01 to the value of 0.6 as shown;
B = 0.6 + 0.01
B = 0.61
To get A, we will add 0.03 to 0.5 as shown:
A = 0.5 + 0.03
A = 0.53
To get the value of C, we will subtract 0.04 from 0.5
as shown:
C = 0.5 - 0.04
C =0.46
Hence A = 0.46, B = 0.61 and C = 0.46
Cost of Building a Home According to the National Association of Home Builders, the average cost of building a home in the Northeast is per square foot. A random sample of new homes indicated that the mean cost was and the population standard deviation was . Can it be concluded that the mean cost differs from , using the level of significance
Answer:
There isn't sufficient evidence that support the claim that mean cost differs from $117.91
Step-by-step explanation:
Given that :
Population Mean cost, μ = 117.91
Sample size, n = 36
Sample mean, xbar = 122.57
Sample standard deviation, s = 20
The hypothesis :
H0 : μ = 117.91
H0 : μ ≠ 117.91
Using the one sample t test :
Test statistic
(xbar - μ) ÷ s/sqrt(n)
T = (122.57 - 117.91) ÷ 20/sqrt(36)
T = 4.66 / 3.333
T = 1.398
Decision region :
Reject H0 ; If Pvalue < α
α = 0.10
Degree of freedom, df = n - 1 = 36 - 1 = 35
Pvalue(1.398, 35) = 0.1709
Since 0.1709 > 0.10 ; WE fail to reject H0 ; therefore there isn't sufficient evidence that support the claim that mean cost differs from $117.91
Convert 2933 in base 10 to base 2
Answer:
1011011101012
Step-by-step explanation:
Converting 2933 to base 10.
2*103=2000
9*102=900
3*101=30
3*100=3
Adding all to get Ans=293310
Step2 converting 293310 to 2
The equation calculation formula for 293310 number to 2 is like this below.
2|2933
2|1466|1
2|733|0
2|366|1
2|183|0
2|91|1
2|45|1
2|22|1
2|11|0
2|5|1
2|2|1
2|1|0
2|1|1
Ans:1011011101012
what are the answers to the questions below?
Answer:
You have to follow PEMDAS or parenthesis, exponents, multiplication, division, addition, and subtraction. It's an order to solve equations. I listed the steps and the answers for you below :) I have throughly checked them so they should be correct! yw :D
Step-by-step explanation:
1. 5x + 4x - 6x = 24
9x - 6x = 24
3x = 24
24/3 = 8
x = 8
2. 8y + 5 - 4y + 1 = 46
8y - 4y = 4y
5 + 1 = 6
4y + 6 = 46
4y = 46 - 6
4y = 40
40/4 = 10
y = 10
3. 33 = 5 ( x + 8 ) + 3
33 = 5x + 40 + 3 (because we distributed)
33 = 5x + 43
5x + 43 = 33 (just rewriting it to make it easier)
5x = 33 - 43
5x = -10
-10/5 = -2
so x = - 2
4. 2m + 3 ( m - 8 ) = 1
2m + 3m - 24 = 1
we got 3m - 24 because we distributed the 3
5m - 24 = 1
5m = 25
25/5 = 5
m = 5
5. p + p - 2p + 4p = - 48
2p - 2p + 4p = - 48
4p = - 48
- 48 / 4 = - 12
p = - 12
6. 2 ( y + 5 ) + 3y = 25
2y + 10 + 3y = 25
5y + 10 = 25
5y = 25 - 10
5y = 15
15/5 = 3
y = 3
7. 1/4 h + 3/4 h + 1/2 h + 2 = 5
1/4 h + 3/4 h + 1/2 = 3/2 h
3/2 h + 2 = 5
3/2 h = 5 - 2
3/2 h = 3
h = 2
8. 60 = 4 ( k + 3 ) + 2 ( k - 3 )
60 = 4k + 12 + 2k - 6
4k + 12 + 2k - 6 = 60
6k + 6 = 60
6k = 60 - 6
6k = 54
k = 9
9. - 2 ( d + 1.4 ) - 1.8 = 20.6
-2d + - 2.8 - 1.8 = 20.6
-2d - 2.8 = 22.4
-2d = 25.2
d = - 12.6
10. 8 - 2 ( w + 4 ) = 10
8 + - 2 w + - 8 = 10
-2w + 9 + - 8 = 10
-2w = 10
10 / -2 = -5
w = -5
3x-x+4=5x-8 . respuesta de esa ecuciojn
Answer:
x=4
Step-by-step explanation:
Combine like terms
Subtract 4 from both sides of the equation
Simplify
Subtract 5 from both sides of the equation
Simplify
Divide both sides of the equation by the same term
Simplify
Answer:
x=4
Step-by-step explanation:
Combine like terms:
2x+4=5x-8
2x+4-4=5x-8-4
Simplify:
2x=5x-12
2x-5x=5x-12-5x:
-3x=-12
Divide both sides by -3:
-3x/3=-12/-3
Answer:
x=4
What is the inverse of the function ? f(x)=x+1 over x?
plato
Answer:
[tex]f { - 1}^{} = \frac{1 - x}{x - 1} [/tex]
Step-by-step explanation:
bxhrrrhi5u44ftj7gttjoy
Answer:
x = (y+1)/y
xy = (y+1)
xy -y = 1
y(x-1)=1
y = 1/(x-1)
Step-by-step explanation:
For the graph find a) b) c) and d)
Answer:
[tex]f(0) = -1[/tex]
[tex]f(\pi) = 1[/tex]
Domain: All real numbers
[tex]Range = [-1,1][/tex]
Step-by-step explanation:
Given
The attached graph
Solving (a): f(0)
On the attached graph
[tex]f(x) = -1[/tex] when [tex]x =0[/tex]
So:
[tex]f(0) = -1[/tex]
Solving (b): f(pi)
On the attached graph
[tex]f(x) = 1[/tex] when [tex]x =\pi[/tex]
So:
[tex]f(\pi) = 1[/tex]
Solving (c): Domain
There is no restriction on x.
Hence, the domain is the set of all real numbers
Solving (d): Range
In the attached graph
[tex]y_{min} = -1[/tex]
[tex]y_{max} = 1[/tex]
So, the range is:
[tex]Range = [-1,1][/tex]
Exhibit 10-7 In order to estimate the difference between the average hourly wages of employees of two branches of a department store, two independent random samples were selected and the following statistics were calculated. Downtown Store North Mall Store Sample size 25 20 Sample mean $9 $8 Sample standard deviation $2 $1 Refer to Exhibit 10-7. A 95% interval estimate for the difference between the two population means is _____. Selected Answer: b. .071 to 1.928
Answer:
[tex]E(x)=1[/tex]
Step-by-step explanation:
From the question we are told that:
Sample mean 1 [tex]\=x_1=$9[/tex]
Sample mean 1 [tex]\=x_2=$8[/tex]
Sample standard deviation 1 [tex]\sigma_1 = $2[/tex]
Sample standard deviation 1 [tex]\sigma_2 = $1[/tex]
Generally the equation for Point estimate is mathematically given by
[tex]E(x)=\=x_1-\=x_2[/tex]
[tex]E(x)=9-8[/tex]
[tex]E(x)=1[/tex]
What is a8 for the geometric sequence 6,561;−2,187;729;−243;….
Answer:
In geometric sequence you divide the terms. As I will show you the calculations step by step. Hopefully this becomes clear and helpful to you
Step-by-step explanation:
-2187÷6561
= -0.3333...
a8=a1 r^8-1
=(4374)(-0.3)^8-1
=(4374)(-0.3)^7
=(4374)(-4.572473708×10^-4)
=-2
Therefore a8= -2
Find f such that f'(x) = 8x – 3. f(4) = 0
Answer: y=29 / (4,29)
Step-by-step explanation:
By graphing [tex]f(x)=8x-3[/tex] and [tex]f(4)=0[/tex] on Desmos. You'll be able to find that when x is 4, y is 29.
Similarly, you can plugin 4 into the original equation ([tex]f(x)=8x-3[/tex]) Which looks like:
[tex]8(4)-3\\32-3=29[/tex]
Additionally, you can change [tex]f(x)=[/tex] to [tex]y=[/tex] as it is the exact same thing. With that in mind, you can do the same with [tex]f(x)=0[/tex] and just change it to x=4. As you're wanting to know what the y-value is when x=4.
Answer:
4x²-3x+c is our original equation
Step-by-step explanation:
we have an independent number I called this number c
put 4 from x and try to find c
f(4)=4*(4²)-3*(4)+c=0
we have to be careful about f(4) is 0
64-12+c=0 and c is -52 so our original equation is 4x²-3x-52
What is the common ratio for this geometric sequence?
27, 9, 3, 1, ...
Answer:
a multiple of 3.
Step-by-step explanation:
1x3=3
3x3=9
9x3=27
Given HM=24 and mHKˆ=66∘, find x and y.
The value of x and y is C) x=90°, y=24°.
What are trigonometry ratios?Trigonometric ratios are defined as the values of all the trigonometric functions based on the value of the ratio of sides in a right-angled triangle.
various ratios are:-
sin=perpendicular/hypoteneusecos=base/hypotenusetan=perpendicular/base (tan30°)=5/bcot=base/perpendicularsec=hypotenuse/basecosec= hypotenuse/perpendicularThe ratios of sides of a right-angled triangle with respect to any of its acute angles are known as the trigonometric.
Learn more about trigonometry here:-https://brainly.com/question/24349828
#SPJ2
the ratio of sadia's age to her father's age is 3:6. The sum of their age is 96 .What is sadia's age
We have,
[tex]a:b=3:6,a+b=96[/tex]
Introduce variable [tex]x[/tex] such that [tex]a=3x,b=6x[/tex]
The sum [tex]a+b=96[/tex] is therefore [tex]9x=96\implies x=10.\overline{6}[/tex]
So,
[tex]a=3\cdot10.\overline{6}=\boxed{32}[/tex] (sadia's age)
[tex]b=6\cdot10.\overline{6}=\boxed{64}[/tex] (father's age)
Hope this helps :)
The Susan B. Anthony dollar has a radius of 0.52 inches. Find the area of one side of the coin to the nearest
hundredth.
Answer:
0.85 in²
Step-by-step explanation:
really ? you need help with that ? you could not find the formula for the area of a circle on the internet and type it into your calculator ? I can't do anything else here.
a circle area is
A = pi×r²
r being the radius.
and pi being, well, pi (3.1415....)
r = 0.52 in
so,
A = pi×0.52² = pi×0.2704 = 0.849486654... in²
the area of one side of the coin is 0.85 in²
how do i convert 134five to base ten
Answer:
44
Step-by-step explanation:
1×5² + 3×5¹ +4×5⁰
25+15+4
44
find the value of the trigonometric ratio
Ted wanted to determine if one brand of paper towels (Brand A) was stronger than another brand (Brand B). He performed a study where he randomly selected 25 sheets from each of the two brands, placed each sheet in an embroidery hoop (and tightened the hoop), placed 30 drops of water on each paper towel, and placed weights on each sheet until the sheet broke. He recorded the maximum weight on the paper towel before it broke. Which of the following statements is correct?
A) A two-tail test will be performed since the alternative hypothesis contains a "less than"
B) A one-tail test will be performed since the alternative hypothesis contains a "not equal to".
C) A one-tail test will be performed since the alternative hypothesis contains a "less than".
D) A two-tail test will be performed since the null hypothesis contains a "not equal to"
E) A two-tail test will be performed since the alternative hypothesis contains a "not equal to".
Answer:
C) A one-tail test will be performed since the alternative hypothesis contains a "less than".
Step-by-step explanation:
Test may be categorized as being one tailed or two tailed depending on the inequality sign used when defining the hypothesis ` ; Hypothesis whereby the alternative hypothesis takes a not equal to (≠) are categorized as two talked as the direction of does not point to either the left or right. Conversely, alternative hypothesis which takes a less Than sign or takes a greater Than sign are classed as being one tailed as the they point to a specified direction..
For the scenario given : we are to test the claim that one is stronger than the other ;
For this knid if test it has been stated explicitly that one is greater than another ;
H0 : μ = μ
H0 : μ < μ
A company makes 3 types of cable. Cable A requires 3 black, 3 white, and 2 red wires. B requires 1 black, 2 white, and 1 red. C requires 2 black, 1 white, and 2 red. Make a 3 x 3 matrix showing the wire requirements. Assign the cable types to the rows and the wire types to the columns.
A) [2 1 2 1 2 1 2 1 3].
B) [3 3 2 1 2 1 2 1 1].
C) [3 1 2 3 2 1 2 1 2].
D) [2 1 3 1 2 1 2 1 2].
Answer:
The answer is (B) but with 2 as the last item in the matrix, instead of 1.
Step-by-step explanation:
The grand topic is MATRICES.
In Matrices, there are rules to follow when creating a matrix - which is a 'row by column' arrangement of objects or figures.
Rule 1: Identify your rows and columns.
What is a row? A row is a 'left to right' arrangement of items; also called a horizontal arrangement of items. What is a column? A column is an 'up to down' arrangement of items; also called a vertical arrangement of items.
Rule 2: Start your arrangement by rows.
Before reaching the instruction in the question, I already arranged the data for cables on the rows and the data for wire colors on the columns. You should follow this rule always; from the first information given in the question.
Rule 3: Nomenclature
This is the naming of a given matrix. In naming a matrix, consider the rows first before the columns. For example, a matrix with three rows and four columns with be called a 3 by 4 matrix and not a 4 by 3 matrix. In the case of this question, there is an equal number of rows and columns, so even if you counted the columns first, it wouldn't be noticed. Nevertheless, always count the rows first.
Having arranged the figures in a 3 by 3 matrix,
The full data on Cable A appears on the first row. The full data on Cable B appears on the second row. The full data on Cable C appears on the third row.
The full data on Black wires appears on the first column. The full data on White wires appears on the second column. The full data on Red wires appears on the third column.
So the answer is [tex]\left[\begin{array}{ccc}3&3&2\\1&2&1\\2&1&2\end{array}\right][/tex]
Kudos!
find area and perimeter of shaded area and the perimeter is not 96
Answer:
picture not clear what is the length
6. 5x = -25
a. X= 5
b. X=-5
c. x=2
Answer:
x = -5
Step-by-step explanation:
5x = -25
Divide each side by 5
5x/5 = -25/5
x = -5
Answer:
[tex]Option\ B,\ x = -5[/tex]
Step-by-step explanation:
Step 1: Divide both sides by 5
[tex]5x = -25[/tex]
[tex]5x / 5 = -25 / 5[/tex]
[tex]x = -25/5[/tex]
[tex]x = -5[/tex]
Answer: [tex]Option\ B,\ x = -5[/tex]
(5.5 X10-6 + 6.3 X10-6)2
Answer:
2 • (59x10 - 60)
————————————————
5
Step-by-step explanation:
Hello my ''brainiest intelligent minds'' once again I'm counting on you, lol, I'm trying to figure this out.
f(x)=2x+3
g(x)=3x+2
What does (f+g)(x) equal?
Answer:
(f + g)(x) = 5x + 5
General Formulas and Concepts:
Algebra I
Terms/CoefficientsFunctionsFunction NotationStep-by-step explanation:
Step 1: Define
Identify
f(x) = 2x + 3
g(x) = 3x + 2
Step 2: Find
Substitute in function values: (f + g)(x) = 2x + 3 + 3x + 2Combine like terms: (f + g)(x) = 5x + 5The National Oceanic and Atmospheric Administration tracks the amount of oysters harvested from the Chesapeake Bay each year:
Find the exponential regression equation that models this data.
The EXPONENTIAL REGRESSION equation obtained by fitting the data is [tex]y = 58.031(0.964)^x[/tex]
To obtain the exponential regression equation which models the data, we could use technology, we involves Inputting the data into an EXPONENTIAL REGRESSION CALCULATOR or EXCEL
Using an exponential regression calculator :
The regression equation obtained is :
[tex]y = 58.031(0.964)^x[/tex]
The general function of an exponential regression function is : [tex]AB^x[/tex]
A = 58.031 = Initial value ; B = Decay factor
Hence, the EXPONENTIAL REGRESSION EQUATION obtained using technology is : [tex]y = 58.031(0.964)^x[/tex]
Learn more :
https://brainly.com/question/11169800
Suppose that a group of 10 people join a weight loss program for 3 months. Each person's weight is recorded at the beginning and at the end of the 3-month program. To test whether the weight loss program is effective, the data should be treated as:
To test the effectiveness of the weight loss program, a PAIRED SAMPLE test distribution is used.
The weight loss data collated for the program for both the beginning and end of the program period was obtained with one subject or person having two separate readings, these shows that the samples are NOT INDEPENDENT.
When performing a test which involves DEPENDENT or MATCHED samples, whereby means of two measurements taken from the SAME subject are involved, a PAIRED SAMPLE TEST DISTRIBUTION IS ADOPTED.
Therefore, the effectiveness of the weight loss programme will be accurately evaluated using a PAIRED SAMPLE TEST.
Learn more : https://brainly.com/question/17143411
Living with parents: The Pew Research Center reported that 36% of American Millennials (adults ages 18–31) still live at home with their parents. A group of students wants to conduct a study to determine whether this result is true for students at their campus. They survey 300 randomly selected students at their campus and determine that 43% of them live at home with their parents. With this data, they test the following hypotheses. The P-value is 0.006.
H0: Of Millennial students at their campus, 36% live at home with their parents.
Ha: More than 36% of Millennial students at their campus live at home with their parents.
What can we conclude?
A. Nothing. The sample size is too small to represent students at their campus.
B. The evidence suggests that more than 36% of students at their campus live at home with their parents because 43% is greater than 36%.
C. The evidence suggests that more than 36% of students at their campus live at home with their parents because the P-value is less than the significance level.
D. The evidence does not suggest that more than 36% of students at their campus live at home with their parents because the difference between 43% and 36% is not statistically significant. A 7% difference could be due to random chance.
Answer:
C. The evidence suggests that more than 36% of students at their campus live at home with their parents because the P-value is less than the significance level.
Step-by-step explanation:
H0: Of Millennial students at their campus, 36% live at home with their parents.
Mathematically, [tex]H_0: p = 0.36[/tex]
Ha: More than 36% of Millennial students at their campus live at home with their parents.
[tex]H_a: p > 0.36[/tex]
The P-value is 0.006.
p-value is less than the significance level of 0.05, which means that there is enough evidence to accept the alternative hypothesis, that is, the proportion is more than 36%.
Thus, the correct answer is given by option C.
What is the volume of the pyramid if the
base area is 25 square feet and the
height is 16 feet?
Answer:
133.3
Step-by-step explanation:
Volume of pyramid: 1/3 Base Area×height
Volume=
[tex] \frac{25 \times 16}{3} [/tex]
133.333 Sq. feet
Brainliest please~
(1+y²)dx + (1+x²)dy = 0
This differential equation is separable:
(1 + y²) dx + (1 + x²) dy = 0
(1 + y²) dx = - (1 + x²) dy
dy/(1 + y²) = -dx/(1 + x²)
Integrating both sides gives
arctan(y) = -arctan(x) + C
and solving for y gives (over an appropriate domain)
y = tan(C - arctan(x))
(the domain being -1 ≤ y ≤ 1).
