Answers
Problem 7
Answer: Choice A) 7--------------------------------------
Work Shown:
p(x) = x^4+x^3-kx-x+6
If (x-2) is a factor of p(x), then x = 2 is a root of p(x). This is a special case of the remainder theorem.
This means p(2) = 0
Replace every x with 2 and solve for k
p(x) = x^4+x^3-kx^2-x+6
p(2) = 2^4+2^3-k(2)^2-2+6
p(2) = 16+8-4k-2+6
p(2) = 28-4k
0 = 28-4k .... replace p(2) with 0
4k = 28
k = 28/4
k = 7
The polynomial
p(x) = x^4+x^3-7x^2-x+6
has the factor (x-2)
============================================
Problem 8
Answer: D) 40--------------------------------------
Work Shown:
Check out the diagram below to see the synthetic division table. We're after the remainder which is highlighted in yellow.
An alternative is to use direct substitution
p(x) = 2x^4+4x^3-x^2-5
p(-3) = 2(-3)^4+4(-3)^3-(-3)^2-5 ... replace every x with -3
p(-3) = 2(81)+4(-27)-9-5
p(-3) = 162-108-9-5
p(-3) = 40
This helps confirm we got the right remainder and the right answer.
Related Questions
if £2000 is placed into a bank account at a compund intrest per year of 3%, how much money will there by after 2 years
Answers
Answer:
£2120
Step-by-step explanation:
First, you need to find 3% of £2000
£2000 ÷ 100 = 20
20 x 3 = £60
Since you gain £60 per year, you gain £120 for two years
£2000 + £120 =
£2120
who is nepali prime minister
Answers
The prime minister of Nepal is K.P ( Khadga Prasad) Sharma Oli.
The present primeminister of Nepal is Sher Bhadur Deuba...............
What is an equation of the line that passes through the points (-5,4) and (5, -8)?
Answers
If SU= 2x - 12, find SU
Answers
+12 on both sides
12 = 2x
/2 on both sides
6 = x
x = 6
SU = 2x - 12
SU = 2(6) - 12
SU = 12 - 12
SU = 0
Answer:
SU = 0
Please solve the equation
Answers
Answer: c
Step-by-step explanation:
Which of the following documents were influenced by John Locke's principles?
A. MAGNA CARTA
B. U.S. Declaration of Independence
C. English Bill of Rights
D. Estates General
Answers
Answer:U.S Declaration of Independence
Step-by-step explanation:
20 POINTS PLEASE HELP ME WITH GEOMETRY
Answers
Answer:
5: d
6: c
7: parallel
You Work at a carnival for 3.5 hours you earn 29.75 how much do you earn per hour
Answers
Answer:
8.5
Step-by-step explanation:
Divide
29.75 by 3.5 .
8.5
Question 8
What is (4x - 5)(6x + 5) expressed as a trinomial?
Answers
Answer:
24x^2 -10x - 25
Step-by-step explanation:
24x^2 + 20x - 30x - 25
24^2 -10x - 25
Answer:
Simplifying
4x + -5 = 6x + 5
Reorder the terms:
-5 + 4x = 6x + 5
Reorder the terms:
-5 + 4x = 5 + 6x
Solving
-5 + 4x = 5 + 6x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-6x' to each side of the equation.
-5 + 4x + -6x = 5 + 6x + -6x
Combine like terms: 4x + -6x = -2x
-5 + -2x = 5 + 6x + -6x
Combine like terms: 6x + -6x = 0
-5 + -2x = 5 + 0
-5 + -2x = 5
Add '5' to each side of the equation.
-5 + 5 + -2x = 5 + 5
Combine like terms: -5 + 5 = 0
0 + -2x = 5 + 5
-2x = 5 + 5
Combine like terms: 5 + 5 = 10
-2x = 10
Divide each side by '-2'.
x = -5
Simplifying
x = -5
Step-by-step explanation:
Tonisha has a lemonade stand. She has 31 dollars in expenses and wants to make at least 66 dollars per day. If x represents the amount of revenue from selling lemonade, an inequality to represent the amount of revenue she would need to generate would be:
Answers
Answer:
x-31(Greater than or equal to)66 -->x(greater than or equal to)97
Step-by-step explanation:
SHe wants to make a profit of 66, but with 31 bucks in expenses, this would need the revenue to be greater than 97 to cover the expenses and still make the profit
-2 + 3x > -23 | x = ?
Answers
Answer:
Give Me Brainliet
Step-by-step explanation:
x= 9/8 =1.125
Answer:
3*x-2>-23
Step-by-step explanation:
i think thats the answer
5 and a half minus 7 equals
Answers
Answer:
-9/5; -1 4/5; -1.8
Step-by-step explanation:
in as much detail as possible, explain how you would graph the equation.
Answers
9514 1404 393
Answer:
a) take it back to the author for clarification
b) use a graphing calculator
c) mark known points and draw the curve
Step-by-step explanation:
In the normal course of interpreting an algebraic expression, the evaluation of functions generally takes precedence over other operations. Here, that means this should be interpreted as ...
3·sin(1/2)·(x-1) +5
This is a (somewhat unusual) linear equation. It can be graphed by evaluating it for a couple of different x-values and drawing a line through the result. The first attachment shows a table of values and a graph of the line. (The slope of the line is an irrational value near 1.4382766 ≈ 105/73.)
__
It is common in Algebra studies to look at scaled and shifted versions of different functions. An alternative interpretation of the given expression would locate parentheses so that the sine function argument is clear:
[tex]y=3\sin{\left(\dfrac{1}{2}(x-1)\right)}+5[/tex]
This is the equation of a sine function vertically expanded by a factor of 3, vertically shifted by 5 units, horizontally expanded by a factor of 2, and horizontally shifted by 1 unit.
This can be graphed a couple of ways.
Relabel Axes
A way to do it is to draw a sine function (amplitude 1, period 2π, no vertical or horizontal shift), then relabel the axes so the function center-line is at y=5, the peak values are at +3 and -3 from that line, the period is 4π, and the whole graph is shifted right so the first upward center-line crossing is at x=1.
Choose Points
Perhaps an expected way to graph the function is to choose several values for x, find the corresponding y-values, and draw the curve through the points.
Recompute Points
Rather than relabel the axes or choosing random points, you could start with an (x, y) table of sine function values, then "adjust" those values as follows:
each x-value: multiply by 2 and add 1
each y-value: multiply by 3 and add 5
Plot the "adjusted" value pairs, and draw a curve through them. See the second attachment for a graph.
__
Comment on graphing
My preference for graphing anything that involves an electronically transmitted result or any detailed calculation is to use "technology". My current preference is a graphing calculator. Spreadsheet programs can also do a decent job of graphing, given enough points to work with.
Ann's Ride
10
1. Ann went on a bicycle trip. The graph shows the
relationship between time and distance traveled by Ann.
9 8
a)
Write a function d(1) for her distance in miles
traveled in terms (1) of the time in hours.
6
b)
Find d(3)
distance in miles
5
c)
Draw a graph of Ann's speed in miles per hour
in terms of the time in hours.
4 3
d)
Write a function s(t) for her speed in
terms of the (1) time.
Answers
Pls help
Will award brainlist thing answer all the questions pls
Answers
Answer:
1. 5/-6
2. 1
3. 2/7
4. 5/3
5. 8/3
6. 3/-5
please help me the question is in the photo
Answers
1. It have Lower ratio.
2. Bob's bagels are 10 for $11
Unit price for Bob's bagels = $11 / 10 bagels = $1.10 per bagel
Donny's bagels are 4 for $3
Unit price for Donny's bagels = $3 / 4 bagels = $0.75 per bagel
3. Donny has the better deal, because Donny's unit price is less than that of Bob's ( each of Donny's bagels cost less than each of Bob's bagels).
Can some one can do both
Answers
B) n=-17
hope this helps x
would love to have brainliest if it is right :)
my teacher wants me to solve does questions but in that way can you please help me:(
Answers
Answer:
1.) X = 1 2.) X = 7
Step-by-step explanation:
1.) 3x - 6 = 9
Subtract 6 on both sides
3x = 3
Divided 3 on both sides
X = 1
2.) -5x + 3x = 11 + 3
Put the like terms on both sides
-2x = 14
Divide both sides by 2
X = 7
The figure below shows a large rectangle with a small rectangle cut out of it.
What is the area of the shaded figure?
Answers
Answer:
56 cm²
Step-by-step explanation:
8*9=72
4*4=16
72-16=56
hope this helps!
Please help!! how do i figure out the percent of yearly budget column
Answers
Please give Brainiest.
Answer:
First, subtract the budgeted amount from the actual expense. If this expense was over budget, then the result will be positive. Next, divide that number by the original budgeted amount and then multiply the result by 100 to get the percentage over budget.
I hope that helps.
Explain how to add linear expressions
Answers
Answer:
A linear expression is one that has a variable in it. Also, no variable is raised higher than a power of 1 or used as a denominator. So you can't divide by a variable. So if a linear equation is commonly expressed as "y= mx+b", a linear expression would be expressed as mx+b.
Step-by-step explanation:
does the table represent y as a function of x? justify your answer
pleaseee helpp!!
Answers
Answer:
No it doesn't.
Step-by-step explanation:
In order for y to represent a function of x, no two x values can have the same y values. Basically x causes y and if y is the same under two different x values then the table isn't true. You can also use the vertical line test to ensure you are correct. I may not be correct but I believe I am
Plz do this one too 2(x+7)−2(x−10)
Answers
Answer:
34
Step-by-step explanation:
Distribute
2x+14-2x+20
Combine like terms
34
Answer:
34
Step-by-step explanation:
Remember to do PEMDAS, multiply the number out side of the parentheses with what 9s inside of them.
Mrs. Snell's math test has twenty questions and is worth 100 points. The test consists of multiple choice questions worth 3 points each and short answer questions worth 11 points each. How many multiple choice questions are on the test? Explain how you determined your solution.
Answers
Answer:
The number of multiple-choice questions are 15.
Step-by-step explanation:
Mrs. Snell's math test has twenty questions and is worth 100 points.
The test consists of multiple-choice questions and short answer questions.
Let M represents the Multiple choice questions.
Let S represents the short answer question.
It is given that the total number of question are 20.
[tex]S+M=20[/tex] ...(1)
Also, multiple-choice questions worth 3 points each, and short answer questions worth 11 points each. The total worth of the test is 100 points.
[tex]11S+3M=100[/tex] ...(2)
Multiply equation (1) by 3 and subtract from equation (2).
[tex]11S+3M=100\\3S+3M=60\\\underline{-\:\:\: -\:\:\:\:\:\:\:\:-\:\:\:\:\:\:}\\8S\:\:\:\:\:\:\:\:\:\:\:\:\:=40\\S\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:=5[/tex]
The total number of short answers is 5.
Put S=5 in equation 1.
[tex]5+M=20\\M=15[/tex]
Hence, the number of multiple-choice questions are 15.
In a weighted average, some values are worth more than others in computing an average value. A teacher gives a quiz, a test, and a final exam. The expression $\frac{q+3t+5f}{9}$ gives the weighted average of the scores where $q$ is the quiz score, $t$ is the test score, and $f$ is the final exam score. What is the weighted average for a student who scores 86 on the quiz, 75 on the test, and 80 on the final exam?
Answers
Answer:
The weighted average score of the student is 79
Step-by-step explanation:
Here, we want to calculate the weighted average score for the student.
To calculate this, we shall be using the given expression;
The expression to calculate the weighted average score is given as;
(q + 3t + 5f)/9
Thus using the scores of the student, we have;
(86 + 3(75) + 5(80))/9
= (86 + 225 + 400)/9 = 711/9 = 79
2x + 3 = x -4 thats my question
Answers
Answer: -7
Step-by-step explanation:
Subtract xx from both sides.
2x+3-x=-42x+3−x=−4
2 Simplify 2x+3-x2x+3−x to x+3x+3.
x+3=-4x+3=−4
3 Subtract 33 from both sides.
x=-4-3x=−4−3
4 Simplify -4-3−4−3 to -7−7.
x=-7x=−7
A $5,$10,$20,$50, or $100 bill is mapped to all the sets of coins that are the same as the total value of the bill. Tell whether this situation represents a function. Explain your reasoning. If the situation represents a function, give the domain and range.
Answers
Answer:
This situation represents a function. The domain is {A, B, C, D, E} and the range is {$5, $10, $20, $50, $100}.
Step-by-step explanation:
Firstly, we need to know what a function is:
It is simply something that relates an input to an output. Like for instance a mirror is a function that relates your face to your image. In lay terms we can call something a function if and only if it can relate one thing to another. Mathematically, a function is called a function if and only if every input has a distinct output, just as how one face can't produce two images at a time when looked at the mirror. The input is called the domain and output range.
Now, in the question we are told that all the bills are mapped – related in lay terms – to some set of coins that are exactly the same number of the bills. This means each bill has a distinct input. Here is a clearer picture:
A to 5 usd
B to 10usd
C to 20usd
D to 50usd
E to 100usd
Where A, B, C, D and E respectively stand for the distinct coins that are mapped to the distinct bill.
From here, each coin has it distinct output. Therefore it is a function.
The domain is {A, B, C, D, E} and the range is {$5, $10, $20, $50, $100}.
Given 14 – 2(x + 8) = 5x – (3x – 34), prove x = -9 what are the steps to be able to prove x=-9
Answers
Answer: x = -9
steps
Simplifying
14 + -2(x + 8) = 5x + -1(3x + -34)
Reorder the terms:
14 + -2(8 + x) = 5x + -1(3x + -34)
14 + (8 * -2 + x * -2) = 5x + -1(3x + -34)
14 + (-16 + -2x) = 5x + -1(3x + -34)
Combine like terms: 14 + -16 = -2
-2 + -2x = 5x + -1(3x + -34)
Reorder the terms:
-2 + -2x = 5x + -1(-34 + 3x)
-2 + -2x = 5x + (-34 * -1 + 3x * -1)
-2 + -2x = 5x + (34 + -3x)
Reorder the terms:
-2 + -2x = 34 + 5x + -3x
Combine like terms: 5x + -3x = 2x
-2 + -2x = 34 + 2x
Solving
-2 + -2x = 34 + 2x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-2x' to each side of the equation.
-2 + -2x + -2x = 34 + 2x + -2x
Combine like terms: -2x + -2x = -4x
-2 + -4x = 34 + 2x + -2x
Combine like terms: 2x + -2x = 0
-2 + -4x = 34 + 0
-2 + -4x = 34
Add '2' to each side of the equation.
-2 + 2 + -4x = 34 + 2
Combine like terms: -2 + 2 = 0
0 + -4x = 34 + 2
-4x = 34 + 2
Combine like terms: 34 + 2 = 36
-4x = 36
Divide each side by '-4'.
x = -9
Given A(9, 2), B(-1,Y), C(-5, 16).
and D(-8, 11), find the value of
y so that AB is perpendicular to CD.
Answers
Answer:
y=8
Step-by-step explanation:
Answer:
Step-by-step explanation:
To build a computer, you need to buy a motherboard for 120 dollars, a CPU for
100 dollars, RAM memory for 45 dollars, storage for 30 dollars, a case for 15
dollars, and a power supply for 50 dollars. What is the cost of building 10
computers?
I got 3600 dollars as my answer, is my answer correct?
Answers
Answer:
Your answer is correct. Good job!
Step-by-step explanation: