Answer:
Answer: None
Step-by-step explanation:
Polynomial Remainder Theorem
The polynomial remainder theorem establishes that the remainder of the division of a polynomial f(x) by (x-k) is equal to f(k), that is, substituting x for k.
We are given the polynomial:
[tex]f(x)= x^4+x^3-x^2+x-1[/tex]
And it's required to know if (x+1) and/or (x-1) are factors of the polynomial.
We apply the theorem for both cases.
For (x+1), we substitute x=-1 into the polynomial:
[tex]f(-1)= (-1)^4+(-1)^3-(-1)^2+(-1)-1[/tex]
[tex]f(-1)= 1-1-1-1-1=-3[/tex]
Since the remainder is not zero, x+1 is not a factor of the given polynomial.
For (x-1), we substitute x=1 into the polynomial:
[tex]f(-1)= (1)^4+(1)^3-(1)^2+(1)-1[/tex]
[tex]f(-1)= 1+1-1+1-1=1[/tex]
Since the remainder is not zero, x-1 is not a factor of the given polynomial.
Answer: None
(2x2 - 4xy + 2y2) (3x-4)
Answer:
Work shown below!
Step-by-step explanation:
[tex](2x^{2} -4xy+2y^{2})(3x-4)=6x^{3}-8x^{2}-12x^{2}y+16xy+6xy^{2}-8y^{2}[/tex]
N is a positive integer
(I) explain why n(n-1) must be an even number
(II) explain why 2n+1 must be an odd number
Part (1)
n is some positive integer. Let's say for now that n is even. So n = 2k, for some integer k
This means n-1 = 2k-1 is odd since subtracting 1 from an even number leads to an odd number.
Now multiply n with n-1 to get
n(n-1) = 2k(2k-1) = 2m
where m = k(2k-1) is an integer
The result 2m is even showing that n(n-1) is even
------------
Let's say that n is odd this time. That means n = 2k+1 for some integer k
And also n-1 = 2k+1-1 = 2k showing n-1 is even
Now multiply n and n-1
n(n-1) = (2k+1)(2k) = 2k(2k+1) = 2m
where m = k(2k+1) is an integer
We've shown that n(n-1) is even here as well.
------------
So overall, n(n-1) is even regardless if n is even or if n is odd.
Either n or n-1 will be even. If you multiply an even number with any number, the result will be even.
=======================================================
Part (2)
n is some positive integer
2n is always even since 2 is a factor of 2n
2n+1 is always odd because we're adding 1 to an even number. The sequence of integers goes even,odd,even,odd, etc and it does this forever.
-----------
Another way to see how 2n+1 is odd is to divide 2n+1 over 2 and you'll find that we get (2n+1)/2 = 2n/2+1/2 = n+0.5
The 0.5 at the end is not an integer, so there's no way that (2n+1)/2 is an integer; therefore 2n+1 is odd.
Pascha is factoring the polynomial, which has four terms.
3x^3 – 15x^2 + 8x - 40
3x^2(x - 5) + 8(x - 5)
Which is the completely factored form of her polynomial?
O (3x^2 – 5) (X + 8)
O (3x^2 – 8) (x + 5)
O (3x^2 + 8) (x - 5)
O (3x^2 + 5) (x – 8)
Answer:
its (3x²+8)(x-5)
Step-by-step explanation:
3x² * x = 3x³.
3x² * -5 = -15x².
8 * x = 8x.
8 * -5 = -40.
The completely factored form of her polynomial is (3x² + 8)(x - 5).
What is the factoring of a polynomial?"Factorization of polynomials expresses a polynomial with coefficients in a given field or in the integers as the product of irreducible factors with coefficients in the same domain."
Given polynomial is:
3x³ – 15x² + 8x - 40
= 3x²(x - 5) + 8(x - 5)
= (3x² + 8)(x - 5)
Learn more about factoring of a polynomial here: https://brainly.com/question/20428956
#SPJ2
I WILL GIVE BARINLEST WHO HELP ME
3
Answer:
18
Step-by-step explanation:
3*6=18
Valeria does not charge an initial fee for babysitting but charges $10 an hour. Daniel charges $8 per hour plus an initial fee of $10. How many hours does Valeria need to babysit in order to make more money than Daniel?
Answer:
it depends how many hours both of them make but here is what you can do:
Valeria needs to do 2 hours more than Daniel. This is because Daniel makes $18 and hour and Valeria makes only 10. If you do 10*2 or 10+10 you get 20 which is greater than 18. I hope this helps and good luck!
A cyclist travels 17 km from home to the park.
She leaves home at 17:15 and arrives at the park at 17:45.
What is her average speed in km/h?
Answer:
34 km/h
Step-by-step explanation:
speed = distance/time
Distance = 17km
Time = 0.5 or 1/2 hours because it's 30 minutes between 17:15 to 17:45, and 30 minutes is a half of an hour and you want km over hours
So
speed = 17/0.5
speed = 34 km/h
show that the probabitity that this bead is purple or red is 3/4
Answer:
pls explain in more detail and attach pic cus ive got no clue what ur asking
A middle school took all of its 6th grade students on a field trip to see a play at a theater that has 3700 seats. The students filled 52% of the seats in the theater. How many 6th graders went on the trip?
Answer: 1924
Step-by-step explanation:
Number if seats in the theater = 3700
Percentage of seats filled by students in the theater = 52%
The number of 6th graders that went on the trip will be gotten by multiplying 52% by 3700. This will be:
= 52% × 3700
= 52/100 × 3700
= 0.52 × 3700
= 1924
1924 students went on the trip
Which of the following figures has rotated 90 counterclockwise about the origin?
Answer:
I believe the answer is B, although im not quite sure.
Write the equation of the line that passes through
the given points.
(0, 1) and (2, 2)
Answer:
y = 1/2x + 1
General Formulas and Concepts:
Pre-Alg
Order of Operations: BPEMDASEquality PropertiesAlg I
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptSlope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Step-by-step explanation:
Step 1: Define
y-intercept (0, 1)
Point (2, 2)
Step 2: Find slope m
Substitute: [tex]m=\frac{2-1}{2-0}[/tex]Subtract: [tex]m=\frac{1}{2}[/tex]Step 3: Write equation
y = 1/2x + 1
Help will mark Brainliest
Answer:
ion know if you still need the answer but i also may need more detail in order to answer your question may you explain the way it needs to be done then you will get your answer
Step-by-step explanation:
help will give brainly and pts.
Javier worked the following hours in the month of October. What was the percent increase from week 2 to week 4?
weeks hours
1 18
2 25
3 24
4 33
Answer:
2005400sblackwell
2005400sblackwell
03/27/2020
Mathematics
Middle School
Javier worked the following hours in the month of October. What was the percent increase from week 2 to week 4?
Answer:
32%
Step-by-step explanation:
I don’t know. I’m on a test got the answer wrong and it showed me the right answer.
Which relation is a function?
Answer:
Top left
Step-by-step explanation:
A function means that each domain (x value) can only have 1 range (y value). Also, I'm not sure if you can recognize it, but that option is actually a parent function (y = x^2)
Answer: the 4 one
Step-by-step explanation:
hope this helped!
Need Help QUICK, Will MARK BRAINLIEST!!!! LOTS OF POINTS
Answer:
Step-by-step explanation:
Help with what
Answer:
what is the question???
Step-by-step explanation:
Find the ratio between 450 ml and 1l.
Answer:
450mL : 1L = 9 : 20
Step-by-step explanation:
recall that 1L = 1000 mL,
450 mL : 1L can be expressed as
450mL : 1000 mL (we can simplify this with the following steps)
450 : 1000 (divide both sides by 10)
45 : 100 (divide both sides by 5)
9 : 20 (answer)
4/4-x = 5/4+x what is x
Answer:
-1/8
Step-by-step explanation:
MATH
Find the value of x.
A. 132
B. 200
C. 228
D. 256
Answer:
a
Step-by-step explanation:
104+28=132
OK OK OK done
) A rectangles length is 4 more than 3 times its width.
Its perimeter is 152. Find the length and width.
Answer:
no entiendo nada
Step-by-step explanation:
Let the width of the rectangle be 'w'
According to the question length of the rectangle (l) is 4 more than 3 times it's width;
[tex] \longrightarrow [/tex] l = 3w + 4
Perimeter of rectangle = 152
Formula of perimeter of rectangle = 2(Length + Width)
So,
[tex]\rm \implies 2(Length + Width) = 152 \\ \\ \rm \implies 2(3w + 4+ w) = 152 \\ \\ \rm \implies 2(4w + 4) = 152 \\ \\ \rm \implies 2 \times 4(w + 1) = 152 \\ \\ \rm \implies 8(w + 1) = 152 \\ \\ \rm \implies w + 1 = \dfrac{152}{8} \\ \\ \rm \implies w + 1 = 19 \\ \\ \rm \implies w = 19 - 1 \\ \\ \rm \implies w = 18[/tex]
[tex] \therefore [/tex] Width of the rectangle (w) = 18
Length of rectangle (l) = 3 × 18 + 4 = 58
x² – 9
x² - 2x - 15
Simplify
Answer:
x^2 - 9 = (x + 3)(x - 3) = (x - 0)^2 - 9.
x^2 - 2x - 15 = (x - 5)(x + 3) = (x - 1)^2 - 16.
I assume you mean factored form?
3x - 11 + 2x + 5 = 180
Answer:
First, collect the like terms
3x+2x=180+11-5
Solve for x
5x=191-5
5x=186
x=186/5=37.2
Step-by-step explanation:
I hope it helped a little, please give me brainliest
Answer:
x = 37.2
see first you've got to remove terms without the pronumeral to the other side of the equal to.
About how many male math teachers will there be in 2016?
A. 32
B.52
Answer:
From the answers you provided the best answer is B.52
Step-by-step explanation:
It starts past 32 so there's no way it can ever be that value as the graph is continuously increasing.
Answer:
is it 32?
Step-by-step explanation:
sorry if im wrong
hope this helps
Which chemical equation is balanced?
Answer:
D as in dog
Step-by-step explanation:
Taryn is shopping for a Christmas tree. At Home Depot the one she likes is $149.00 and she has a 15% off coupon. At Lowe's the one she likes is $175.00 and she has a 20% off coupon. Which store has the better deal with their coupons? How much will she save if she gets the better deal?
Answer:
Step-by-step explanation:
At home depot
Price of Christmas tree = $149.00
Discount = 15%
Amount discounted = 15% of $149
Amount discounted = 15/100 * $149
Amount discounted = 15 * 1.49
Amount discounted = $22.35
Amount she paid = $149-$22.35
Amount she paid = $126.65
At Lowe's:
Price of Christmas tree = $175.00
Discount = 260%
Amount discounted = 20% of $175
Amount discounted = 20/100 * $175
Amount discounted = 0.2 * 175
Amount discounted = $35
Amount she paid = $175-$35
Amount she paid at Lowe's = $140
From the prices above, it can be seen that Home Depot has a better deal since the price after removing discount is lower than that of Lowe's.
Amount she will save will be $140 - $126.65 = $13.35
WRITE 0,000003 56 IN SCIENTIFIC NOTATION
Answer:
3.56X10^-6
Step-by-step explanation:
In converting numbers to scientific notation, simply move the decimal point of the number until the numerical coefficient is greater than 1 but less than 10. Be sure to take note of the following:
1. The numerical coefficient.
2. Number of times we move the decimal point. It will be the exponent with the base of 10.
3. The direction we take in moving the decimal point. If the direction is to the right, take the negative sign for the exponent. If the direction is to the left, take the positive sign for the exponent.
Here, we move the decimal point of 0.00000356 to the right 6 times. So, we have now 3.56X10^-6.
LIVING ROOM Maude's living room is in the shape of a rectangle. Its dimensions are 21 feet by 14 feet. Find the length of the diagonal of the living room. Round your answer to the nearest tenth if necessary.
Answer:
25.2 feets
Step-by-step explanation:
Given that:
Rectangular shaped living room has the dimension:
21 feets by 14 feets
Length of diagonal :
Using Pythagoras :
A² = B² + C²
Diagonal² = 21² + 14²
Diagonal = √(441 + 196)
Diagonal = √637
Diagonal = 25.238
Diagonal = 25.2 feets ( nearest tenth)
.A club has 18 girls and 12 boys as members. The president wants to break the club into groups, with each group containing the same combination of girls and boys. The president also wants to make sure that no one is left out. What is the greatest number of groups the president can make?
Answer this question please.
Answer:
x = 11
Step-by-step explanation:
We know that vertical angles (opposite angles when two lines cross), are equal.
2x - 6 = 6x - 50
4x = 44
x = 11
Use this diagram and information given to find mangleAFE.
abcdef500
Given: mangleAFB = mangleEFD = 65°
Points B, F, D and points E, F, C are collinear.
The measure of angleAFE is
°.
Since they are collinear, it means the BFD is a straight line and all the angles formed by the lines resting on a straight line add up to [tex]180[/tex] degrees. So, [tex]65 + 65 + x = 180[/tex]
When we add [tex]65[/tex] and [tex]65[/tex] we get [tex]130[/tex]. So,
[tex]130 + x = 180\\\\x = 180 - 130 = 50\\[/tex]
Henceforth, [tex]x[/tex] or angle [tex]AFE[/tex] is equal to [tex]50[/tex] degrees. :D
List the parts that are congruent based on the markings. Be sure to label properly!
Please helppp. I’ll give brainliest!
Answer:
Angles T and W are congruent to each other. Angles U and X are congruent to each other.
Step-by-step explanation: