What is the result of dividing x^3-4 by x+2
A. x^2-2x+4+12/x+12
B. x^2-2x+4+4/x+2
C. x^2-2x+4-4/x+2
D. x^2-2x+4-12/x+2
What is the result of dividing 2x^3+x^2-2x+8 by x+2
A. 2x^2+5x+8
B. 2x^2-3x+16
C. 2x^2-3x+4
D. 2x^2+5x-8
What is the remainder when the polynomial 6x^2+11x-3 is divided by 2x-1
Jorge wasnt to divide 3x^2-x-2 by x+4 using synthetic division. (has picture)
Which answer shows the correct process?
What is the remainder when the polynomial 6x^2+11x-3 is divided by x+2
Answers
Write x^3-4 as 1x^3 + 0x^2 + 0x + (-4)x^0
The coefficients here are 1, 0, 0, and -4
note how the exponents step down one at a time (3, 2, 1, 0)
Write the coefficients 1, 0, 0, -4 in that order along a single row. Write the test root x = -2 in a box off to the left of the row of coefficients. See Figure1A (attached) to see how the set up is done so far.
-------------------------
Now we will follow the steps to perform synthetic division. The first step is to drop the first coefficient (which is 1) down below the horizontal line. This is shown by the letter A in red. See Figure1B (attached).
We then multiply that dropped value (1) by the test root (-2) to get 1 times -2 = -2. This result of -2 is placed where you see the red letter B (Figure1B)
Now add straight down: 0 plus -2 = -2
The result -2 is placed just below the previous result. It is placed where you see the red letter C
-------------------------
Repeat these steps over and over until the bottom row is filled out. By that, I mean we have the bottom row terms line up with the right most value in the top row. See figure1C to have a look at what I mean. We stop once we get to -12 in the bottom row as there are no more terms to fill out.
The last term in the bottom row (-12) is the remainder. The other terms help construct the quotient.
In this case, the quotient is 1x^2 + (-2)x + 4x^0 which simplifies to x^2 - 2x + 4
The remainder is -12
Put this all together and we have the final answer of [tex]x^2 - 2x + 4 - \frac{12}{x+2}[/tex]
So the final answer is choice D
===================================================================================================
Problem 2)
Follow the same kind of steps shown in problem 1. This time we'll have the synthetic division table you see in the image Figure2 (attached)
The last value in the bottom row is the remainder. The remainder of 0 indicates (x+2) is a factor of 2x^3+x^2-2x+8
The quotient is the other values in the bottom row. The other values in that bottom row are (in order) 2, -3, 4 so the quotient is 2x^2 - 3x + 4
This makes the final answer to be choice C
===================================================================================================
Problem 3)
We can use the remainder theorem and skip synthetic division
2x-1 = 0 leads to x = 1/2 = 0.5
Plug x = 0.5 into the function f(x) = 6x^2 + 11x - 3 to get
f(x) = 6x^2 + 11x - 3
f(0.5) = 6(0.5)^2 + 11(0.5) - 3
f(0.5) = 4
So the remainder is 4
Answer: 4
Side Note: if you wish to use synthetic division, then check out "Figure3" in the attachments
===================================================================================================
Problem 4)
The answer is choice with the bottom row of 3, -13, and -54. This looks to be choice C. The same steps are followed as done in problems 1 through 3.
===================================================================================================
Problem 5)
Plug x = -2 into f(x) = 6x^2 + 11x - 3
f(x) = 6x^2 + 11x - 3
f(-2) = 6(-2)^2 + 11(-2) - 3
f(-2) = -1
Final Answer: -1
Related Questions
A baseball team has home games on thursdaythursday and saturdaysaturday. the two games together earn $4285.004285.00 for the team. thursdaythursday's game generates $295.00295.00 less than saturdaysaturday's game. how much money was taken in at each game?
Answers
1,995+1,995=3,990
3,990+295=4,285.00
evaluate a/z+bw^2 for a=21 b=3 w=6 z=7
Answers
(6)^2 = 36
3+3(36) = 111
Matching 1. protects against loss from automobile accidents of insured malpractice 2. protects against loss to insured's home and furnishings automobile 3. protects against loss from fire on insured's property liability 4. protects against loss from injury to others on insured's property fire 5. protects against loss from lawsuits against insured life 6. protects against loss from death of insured homeowners
Answers
6 Life
3 Fire
4 Liability
5 Malpractice
1 Automobile
1. protects against loss from automobile accidents of insured - Automobile insurance.
2. protects against loss to insured's home and furnishings - Homeowners insurance
3. protects against loss from fire on insured's property - Fire insurance
4. protects against loss from injury to others on insured's property - Liability insurance
5. protects against loss from lawsuits against insured - Malpractice insurance
6. protects against loss from death of insured - Life insurance
A repeating pattern of figures that completely covers a plane, without gaps or overlaps, is called a _____ conjecture. transformation. tessellation. composition.
Answers
Answer:A repeating pattern of figures that completely covers a plane, without gaps or overlaps, is called a tessellation.
Step-by-step explanation:
A tessellation of a flat surface is the tiling of a plane using one or more geometric shapes are called tiles, without overlaps or gaps.They can be generalized to higher dimensions and a variety of geometries.Therefore, A repeating pattern of figures that completely covers a plane, without gaps or overlaps, is called a tessellation.
Look at the following expression, then factor the sum of terms as a product of the GCF and a sum. 4x + 12 = 4(____ + 3) What term is missing from the solution
Answers
What makes an irrational number irrational?
Answers
Answer:
Step-by-step explanation:
How to get the B by itself
Answers
(a + b + c)/3 x 3 = A x 3
a + b + c = A(3)
a- a + b + c - c = A(3) - a - c
b = A(3) - a - c
hope this helps
( i dont know if the A is suppose to be there or not sorry)
Is an equation with an integer coefficient will always have an integer solution true or false?
Answers
4 x = 5 ( 4 is an integer coefficient )
x = 5 : 4 = 1.25 ( not an integer )
Answer:
This is false.
I REALLY NEED THIS ONE IT'S MY LAST ONE.
Verify the identity. Justify each step.
please help and show your work.
Answers
[tex]\bf \cfrac{\frac{1}{cos(\theta )}}{\frac{1}{sin(\theta )}-\frac{cos(\theta )}{sin(\theta )}}-\cfrac{\frac{1}{cos(\theta )}}{\frac{1}{sin(\theta )}+\frac{cos(\theta )}{sin(\theta )}}\implies \cfrac{\frac{1}{cos(\theta )}}{\frac{1-cos(\theta )}{sin(\theta )}}-\cfrac{\frac{1}{cos(\theta )}}{\frac{1+cos(\theta )}{sin(\theta )}} \\\\\\ \cfrac{1}{cos(\theta )}\cdot \cfrac{sin(\theta )}{1-cos(\theta )}-\cfrac{1}{cos(\theta )}\cdot \cfrac{sin(\theta )}{1+cos(\theta )}[/tex]
[tex]\bf \cfrac{sin(\theta )}{cos(\theta )[1-cos(\theta )]}-\cfrac{sin(\theta )}{cos(\theta )[1+cos(\theta )]} \\\\\\ \cfrac{sin(\theta )[1+cos(\theta )]~-~sin(\theta )[1-cos(\theta )]}{cos(\theta )[1+cos(\theta )][1-cos(\theta )]} \\\\\\ \textit{notice that }[1+cos(\theta )][1-cos(\theta )]\textit{ is a difference of squares}[/tex]
[tex]\bf \cfrac{\underline{sin(\theta )}+sin(\theta )cos(\theta )\underline{-sin(\theta )}+sin(\theta )cos(\theta )}{cos(\theta )[1^2-cos^2(\theta )]} \\\\\\ \cfrac{2sin(\theta )cos(\theta )}{cos(\theta )[1^2-cos^2(\theta )]}\\\\ -------------------------------\\\\ \textit{recall that }sin^2(\theta)+cos^2(\theta)=1\implies sin^2(\theta)=1-cos^2(\theta)\qquad thus\\\\ -------------------------------\\\\[/tex]
[tex]\bf \cfrac{2sin(\theta )cos(\theta )}{cos(\theta )[sin^2(\theta )]}\implies \cfrac{2\underline{sin(\theta )cos(\theta )}}{\underline{cos(\theta )sin(\theta )} sin(\theta )}\implies \cfrac{2}{sin(\theta )} \\\\\\ 2\cdot \cfrac{1}{sin(\theta )}\implies 2\cdot csc(\theta )\implies 2csc(\theta )[/tex]
Select the graph that best represents the solution set for 5x+1≤11
Answers
[tex]5x+1-1 \le 11-1[/tex] Subtract 1 from both sides
[tex]5x \le 10[/tex]
[tex]\frac{5x}{5} \le \frac{10}{5}[/tex] Divide both sides by 5 to isolate x
[tex]x \le 2[/tex]
To graph this, draw out a number line. Plot a closed circle at 2 on the number line. The closed circle indicates we include this value in the solution set. This is the endpoint. We shade to the left of the endpoint to represent all of the values smaller than 2. The endpoint is included because of the "or equal to" portion of the inequality sign.
Martin is logging the number of strikes he bowls per hour. He has determined the function to be f(x) = 2x + 5, where x represents hours and f(x) represents the number of strikes he has bowled. Which of the following options describes the restrictions to the domain and range correctly?
Domain, nonnegative values; range, values greater than −2.5
Domain, nonnegative values; range, values greater than or equal to 5
Domain, nonnegative values; range, values less than −2.5
Domain, nonnegative values; range, values less than or equal to 5
Answers
range (f(x) values are : values greater then or equal to 5
Answer:
B. Domain, nonnegative values; range, values greater than or equal to 5
Step-by-step explanation:
Basically, domain is the set of values that x can take and range is the set of values that the result of f(x) can be.
Since x is the time Martin spends bowling, it cannot be negative. The least he can bowl is zero hours, so x cannot be a negative number.
For the lowest x can be (zero), f(x) is calculated as:
f(x) = 2(0)+5 = 0+5 = 5
For higher values of x, the equation can only yield higher results because the 2 that is multiplying it is positive. Multiplying a two positive numbers (2 and x, which cannot be negative) will always give a positive number. In other words, f(x) is directly proportional to x because its coefficient 2 is positive, which means that when x grows, f(x) grows.
This means that f(x) can never be lower than 5.
The best description is, then, nonnegative values for the domain and values greater or equal to 5 for the range.
What is the measure of 1 (1 point) 45 60 120 125?
Answers
Answer:
120°
i finished the quiz and that what i got
and for the rest
1.b
2.d
3.a
4.c
and number 5 is the first answer that i wrote
Step-by-step explanation:
The next train will arrive in 32 minutes and 30 seconds.
In how many seconds will the next train arrive?
____Seconds
Answers
You can convert time from minutes to seconds by multiplying the number of minutes by 60. Therefore, if the train is due in 32 minutes and 30 seconds, the train will arrive in 1950 seconds.
Explanation:To answer your question, we need to understand that 1 minute is equal to 60 seconds.
So, if the train arrives in 32 minutes, then it will arrive in 32 minutes * 60 seconds per minute, which equal 1920 seconds. And we have additional 30 seconds. So, the total time the train will arrive in is 1920 + 30 = 1950 seconds.
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Help me plz? I have no clue how
Answers
(3, 9) and (0, 3)
Slope = (Y2 -Y1) ÷ (X2 -X1)
Slope = (3-9) / (0-3)
Slope = -6 / -3
Slope = 2
The equation will have the form y = mx + b
We can rearrange this to b = y -mx
Let's take one of the points (3, 9) and the slope (m) and enter it into the formula:
b = -9 -2*3
b= -3
Now we enter all that data into b = y -mx
and get
y = 2x -3
What is the period of the function y=5/2 cos x/4?
Answers
...............................
If the interest rate on a savings account is 0.018%, approximately how much money do you need to keep in this account for 1 year to earn enough interest to cover a single $9.99 Below-Minimum-Balance Fee?
$55,555
$55
$555
$5,555
Answers
interest = bank account * interest rate
$9.99 = bank account * 0.018%
bank account = $9.99/ 0.018% (don't forget the % mean 1/100)
bank account = $55.500
Assuming that the $9.99 value is $9.9999... then the answer would be $55.555
Simplify -|-5 + 2|.
a)-7
b)-3
c)3
d)7
Answers
if it would have been | - (-5 + 2) | ur answer would have been 3 because the negative sign fell in ur absolute value bars.
[tex]-|-3|[/tex]
Step 2. Simplify [tex]|-3|[/tex] to [tex]3[/tex]
[tex]-3[/tex]
Done! :)
What is the abbreviation for SI unit of mass
Answers
This is probably not right but I tried.
Good Luck!
Kg I think I did this last year sk
Out of 32 students in the class 5 said they rode their bikes to school based on their results how many of the 800 students in the school rode their bikes toschool
Answers
To make this equivalent we need to find the ratio between 800 and 32:
800/32
25
Now, multiply 5 and 25
25*5
125
Hope this helped!
Solve algebraically for x
Answers
3x + 1 = x^2 - 2x + 1
0 = x^2 -5x
0 = x(x-5)
x = 0,5
Hope this helps!
Simplify r^4st^7 / 5r^5st^3
Simplify 7x^3y^9z^4 /28x^8y^2
Simplify 3a^3b * 2a^2b^4 / a^10b^3c^2
Explain if you can thankyou!!
Answers
1) r^4st^7 / 5r^5st^3 = st^4 / 5r
2) 7x^3y^9z^4 /28x^8y^2 = y^7z^4 /4x^5
The last one you need to multiply the factors first (add exponents of common factors)
3) 3a^3b * 2a^2b^4 / a^10b^3c^2 = 6a^6b^5/a^10b^3c^2 = 6b^2/a^4c^2
Hope this helps, let me know if you need more explanation!
Determined whether the graphs of each pair of equations are parallel, perpendicular or neither
Answers
What is the algebraic expression for the following word phrase: the quotient of j and 8
A.j-8
B.j+8
C.j
-
8
D.8j
Answers
[tex] \frac{j}{8} [/tex]
This is the correct algebraic expression for the quotient of j and 8. Quotient is just a fancy term for the answer to a division problem.
Answer:
[tex]\frac{j}{8}[/tex]
Step-by-step explanation:
the quotient of j and 8
We need to write the given word phrase in algebraic expression
Algebraic expression contains terms with numbers and variables with operators in between.
In the given word phrase , 'j' is the variable
quotient occurs only on division . so we divide 'j' and 8
The expression for word phrase the quotient of j and 8 is
[tex]\frac{j}{8}[/tex]
A map is drawn to scale such that 1/8 inch represents 65 feet. if the shortest route from the dorm to the grocery store measures 23 ¼ inches on the map, how many miles is it to the grocery store? round to the nearest tenth.
Answers
23.25 divided by 0.2 equals 116.25
116.25 multiplied by 65 equals 7556.25
7556.25 divided by 5280 equals 1.43110795455
Rounded to the nearest tenth that's 1.4
Hope it helped.
Leon correctly found the slope and y-intercept of the line that passes through the points (9, –8) and (3, 4) as follows.
m = -8, -4 = -12
9-3 -6 =-2
y = -2x+b
-8=-2(9)+b
-8= -18+b
10=b
a)y=-2x+10
B) y=-2x+10
C) y= 10x-2
D)y=10x +2
Answers
Answer:
[tex]\displaystyle y = -2x + 10[/tex]
Step-by-step explanation:
The work is already done. This is EXACTLY how you find the parallel line, however, two answer choices are an EXACT REPLICA of each other. Perhaps there was a typographical error?
I am joyous to assist you anytime.
the correct answer is option
a)y=-2x+10.
How do you locate the slope?pick factors on the line and decide their coordinates. determine the difference in y-coordinates of these two factors (upward thrust). determine the difference in x-coordinates for those two factors (run). Divide the difference in y-coordinates by means of the difference in x-coordinates (upward thrust/run or slope).
How do u find slope-intercept shape?resolve for the slope (m). recollect, the slope is equal to the alternate in y divided with the aid of the change in x (upward push overrun).remedy for the y-fee of the y-intercept (b). replace m and b with their values inside the y=mx+b system.Learn more about slope-intercept shape here: https://brainly.com/question/1884491
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Please help with both questions thank you.
Answers
2(3) + 2(7)
6 + 14
20!
Jillian’s school is selling tickets for a play. The tickets cost $10.50 for adults and $3.75 for students. The ticket sales for opening night totaled $2071.50. The equation 10.50a + 3.75b = 2071.50, where a is the number of adult tickets sold and b is the number of student tickets sold, can be used to find the number of adult and student tickets. If 82 students attended, how may adult tickets were sold?
adult tickets
Answers
Answer: There are 168 adult tickets that were sold.
Step-by-step explanation:
Let the number of adult tickets were sold be 'a'.
Let the number of student tickets were sold be 'b'.
Since we have given that
The ticket sales for opening night totaled as
[tex]10.50a+3.75b=2071.50[/tex]
And the number of students attended = 82
so, b = 82
So, we will put the value of b in the above equation:
[tex]10.50a+3.75\times 82=2071.50\\\\10.50a+307.5=2071.50\\\\0.50a=2071.50-307.5\\\\10.50a=1764\\\\a=\dfrac{1764}{10.50}\\\\a=168[/tex]
Hence, there are 168 adult tickets that were sold.
The sum of the page numbers on the facing pages of a book is 629. what are the page numbers
Answers
So you can just divide this by 2, and then add one to the second number.
629/2 = 314 R1
So the first page number is 314, and for the second one, just add one, and you get 315.
The number of pages of the book is 315.
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given that the sum of the page numbers on the facing pages of a book is 629.
Basically, these numbers have to be consecutive because they're facing pages.
To calculate the number of the pages divide this by 2, and then add one to the second number.
N = 629/2 = 314
Therefore, the number of pages of the book is 315.
To know more about an expression follow
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The difference between Alan's and Bea's age is three years. The sum of their ages is twenty-seven years. How old are they if-
A. Alan is older than bea?
B. Bea is older than Alan?
Answers
a + b = 27
--------------add
2a = 30
a = 30/2
a = 15 <=== alan is 15
a + b = 27
15 + b = 27
b = 27 - 15
b = 12 <=== bea is 12
A restaurant earns $1240 on Friday and $921 on Saturday. Write and solve an equation to find the amount xx (in dollars) the restaurant needs to earn on Sunday to average $1000 per day over the three-day period. Write your equation so that the units on each side of the equation are dollars per day
Answers
Answer:
The restaurant needs to earn $839 on Sunday.
Step-by-step explanation:
Consider the provided information.
Let $x needs to earn on Sunday, to average $1000 per day .
It is given that the average earn should be $1000
[tex]Average=\frac{\text{Sum of observations}}{\text{Total number of observation}}[/tex]
[tex]Average= \frac{1240+921+x}{3}[/tex]
[tex]Average= \frac{2161+x}{3}[/tex]
The average should be $1000, so substitute 1000 for average and solve for x.
[tex]\frac{2161+x}{3} =1000\\\\ 2161+x=3000\\\\x=3000-2161\\\\x=839[/tex]
Thus, the restaurant needs to earn $839 on Sunday.
The required equation is [tex]\frac{1240+921+x}{3}=1000[/tex].