Answers
Related Questions
The polynomial x^4+px^3+qx^2+rx+6 is exactly divisible by each of (x-1), (x-2) and (x-3).
Find the values of p, q and r.
Answers
The remainder theorem says that a polynomial f(x) has a remainder of f(c) upon getting divided by x - c. So if
f(x) = x⁴ + p x³ + q x² + r x + 6
is divisible by x - 1, x - 2, and x - 3, then we have
f (1) = 7 + p + q + r = 0
f (2) = 22 + 8p + 4q + 2r = 0
f (3) = 87 + 27p + 9q + 3r = 0
Solve the system for p, q, r. You can eliminate r by substituting the first equation into the other two:
p + q + r = -7
8p + 4q + 2r = -22 → 6p + 2q - 14 = -22 → 3p + q = -4
27p + 9q + 3r = -87 → 24p + 6q - 21 = -87 → 4p + q = -11
Eliminate q by adding (-1) times the first equation to the second one, then solve for p :
- (3p + q) + (4p + q) = - (-4) + (-11)
-3p - q + 4p + q = 4 - 11
p = -7
Solve for q :
3p + q = -4 → 3 (-7) + q = -4 → q = 17
Solve for r :
p + q + r = -7 → -7 + 17 + r = -7 → r = -17
SOMEONE HELP PLEASE ASAP
Answers
Answer:
The last one: Decreasing then increasing
Step-by-step explanation:
Answer:
d?
Step-by-step explanation:
How can we use ratios and proportional relationships to help us in our daily lives?
Answers
Answer:
In cooking (recipes).
Step-by-step explanation:
If the serving size for a recipe is not adequate for the number of people you are serving, you will have to convert the amounts(measurements) of the ingredients to suit your needs. You will do this by first creating a ratio defining the relationship between the serving size of the given recipe to the number of people needed to be served. For example, if a recipe serves 4 people, and you need to serve 8, your ratio would simplify to 1/2. This means you must proportionally relate this ratio to the individual amounts of each ingredient.
A bicycle is on sale for $189.00. The sales tax rate is 5%. How much is the sales tax?
Answers
Answer:
The tax rate is 9 dollars and 45 cents.
Step-by-step explanation:
A share is sold for the market value of ₹1000. Is the face value of share is ₹100 and brokerage is paid at the rate of 0.1%what is the amount received of the Sale?
Answers
hope this will help you
Alfred and Larissa have $21.00 each to spend at a book fair, where all students receive a 35% discount. They both want to purchase a copy of the same book, which normally sells for $28.50 plus 10% sales tax. To check if he has enough to purchase the book, Alfred takes 35% of $28.50 and subtracts that amount from the normal price. He takes 10% of the discounted selling price and adds it back to find the purchase amount. Larissa takes 65% of the normal purchase price and then computes 110% of the reduced price. Is Alfred correct? Is Larissa correct? Do they have enough money to purchase the book? Explain your answer using complete sentences and show your work.
Answers
Answer: See explanation
Step-by-step explanation:
The normal cost of the book plus the sales tax will be:
= $28.50 + ($28.50 × 10%)
= $28.50 + ($28.50 × 0.1)
= $28.50 + $2.85
= $31.35
Since there's a discount of 35%, the amount they'll have to pay will be:
= $31.35 - ($31.35 × 35%)
= $31.35 - ($31.35 × 0.35)
= $31.35 - $10.9725
= $20.3775
They do not have enough money to make the purchase.
Alfred takes 35% of $28.50 and subtracts that amount from the normal price. Alfred's calculation is shown below:
= $28.50 - (35% of $28.50)
= $28.50 - (0.35 × $28.50)
= $28.50 - $9.975
= $18.525
He takes 10% of the discounted selling price and adds it back to find the purchase amount. This will be:
= $18.525 + (10% × $18.525)
= $18.525 + $1.8525
= $20.3775
Alfred is correct
Larissa takes 65% of the normal purchase price and then computes 110% of the reduced price. This will be:
= 65% × $28.50
= 0.65 × $28.50
= $18.525
= 110% × $18.525
= 1.1 × $18.525
= $20.3775
Larisa is also correct
The equation below has one solution.
9x - 10 = 3x + 2
What is the solution to the equation?
–2
–1
1
2
Answers
( x = 2 )
Answer:
x=2
Step-by-step explanation:
I NEED HELP PLS!
Part A: Explain why the x-coordinates of the points where the graphs of the equations y = 4x and y = 2x−1 intersect are the solutions of the equation 4x = 2x−1. (4 points)
Part B: Make tables to find the solution to 4x = 2x−1. Take the integer values of x between −4 and 4. (4 points)
Part C: How can you solve the equation 4x = 2x−1 graphically? (2 points)
(10 points)
Answers
Answer:
es a través de los ejes x si lo cuenta, puede ver lo que es en su cuadrícula y encontrará la respuesta exacta
please answer this questioncould u please answer this question
Answers
Answer:
3
Step-by-step explanation:
3p - 1 = 5(p-1) -2(7-2p)
(simplify)
3p -1 = 5p-5-14+4p
3p-1 = 9p-19
(make p the subject)
3p-9p = -19+1
-6p = -18
p = -18/-6
p = 3
es 6
Step-by-step explanation:
3p-1= 5p-5-14mas4p
3p-4p-5p= -5-14mas1
3p-4p-5p= -18
3p-9p=-18
_3p=-18
p=-18:-3
p=6
Joel needs 785 tickets to get the prize he wants at the arcade. He already has 284 tickets and can earn 35 tickets each time he plays an arcade game. How many games will he have to play in order to have enough tickets to win the prize he wants?
Answers
He needs to play 23 more times. 785 / 35 = 23
He will have extra points but it will be enough to get the prize.
Use the following information to answer Part A Part B
*2 Systems of Equations
John wants to join a gym so that he can work out during the evenings. There are two gyms in his town that he is considering. Extreme
Fitness charges a $50 Signup fee and then $10 per month. Ultimate Fitness charges a $30 initiation fee and then $15 per month. Extreme
Fitness is closer to John's home and has more equipment than Ultimate Fitness. Find the number of months where the cost of the membership will be the same for both gyms
Answers
Answer:
can some one please answer it please
Step-by-step explanation:
Pleaseeee helpppp !!!!!! Will mark Brianliest !!!!!!!!!!!!!!
Answers
Answer:
8
Step-by-step explanation:
AC=2DE
48-4x=2(64-7x)=128-14x
14x-4x=128-48
10x=80
x=80/10=8
DE=64-7x=64-7*8=64-56=8
Please help
Have a merry Christmas
Answers
Contradicting the last answer, the answer 40 is half of 80, so that answer is actually 50 percent.
And also, a little trick to find out percentages is to multiply the first number in the percentage, with the number you are trying to find
Ex. 20 percent of 70
2 * 7 = 14 percent
Answer:
32 :)
Step-by-step explanation:
find the interest earned on 45,000 at 14% for 8 years
Answers
Answer:
$128366.39
Step-by-step explanation:
We will use the Simplified Compound Interest Equation:
P = C(1 + r)^t
P = 45000(1+0.14)^8
P = 45000(1.14)^8
P = 128366.389
So about $128366.39
Answer:
simple
Step-by-step explanation:
45000×14×8/100
5040000/100
=50400
192/38 with remanders
Answers
Answer:
5 Remainder 2
Answer:
The answer is 5 remainder 2
Step-by-step explanation:
need help please, will give Brainly
Answers
Answer:
evaluate C2 + 4a - b
-2 +4(-5)-3
4=-2-5-3
4=4
=4-4
=0
What is the approximate circumference of the circle shown below ? A^ 12.2 cn O A. 76.6 cm B. 48.8 cm C. 19.2 cm O 38.3 cm
Answers
Answer:
D. 38.3 cm
Step-by-step explanation:
Just took test on a p e x
Answer: 38.3
Step-by-step explanation:
Suppose that 71% of the surface of the Earth is covered in water, and a random number generator uses latitude and longitude to select a random location on the Earth. If 6 locations are generated, what is the probability that at least 1 of those locations is over land?
Answers
Answer:
.00059 or .0006
Step-by-step explanation:
You are trying to find what won't be in the water because there are many combinations so you use a complement formula.
1-0.79=0.29
Use the left over percentage in an equation to determine the probability.
[tex]1-(0.29)^6=0.000594823[/tex]
The exponent 6 comes from the number of locations.
Answer:
.8719
Step-by-step explanation:
This is an educated guess feel free to give a negative review if I'm wrong
BRAINIST & 20 POINTS
*random answers will be reported*
Answers
Answer:
6-1
Step-by-step explanation:
Debora plans to sew 3 blankets for each of her nieces.
How many blankets will Debora sew if she has 5 nieces?
Answers
Answer:
well for me I think it's
Step-by-step explanation:
15
5×3 each
Answer:
15 blankets
Step-by-step explanation:
Debora plans to sew 3 blankets for each of her nieces. If she has 5 nieces, that means she will sew 3 blankets for each of them.
Number of blankets Debora sews = 3 blankets × 5 nieces
= 15 blankets
Therefore, Debora will sew 15 blankets in total.
I hope this helps!
Haley is printing admission tickets for the school dance. So far, she has printed 112 tickets. She knows that she needs to print 320 tickets in total. What percent of the tickets does Haley still have to print?
Answers
Answer:
Answer:
Haley needs to print 65% of the tickets.
Step-by-step explanation:
Given that:
Tickets printed by Haley = 112
Tickets needed to print = 320
Tickets left to print = 320-112 = 208
Percent of tickets left to print =
Percent of tickets left to print =
Percent of tickets left to print = 0.65*100
Percent of tickets left to print = 65%
Hence,
Haley needs to print 65% of the tickets.
Step-by-step explanation:
Answer:
Step-by-step explanation:
Haley needs to print:
320-112=208 tickets
1% of 320 is equal to 320/100=3.2
208/3.2=65
She needs to print 65% more tickets
Which ordered pair is a solution to the equation 8x - 2y = 4?
Question 1 options:
(0, -1)
(1, 3)
(2, 6)
(3, 4)
Answers
Answer:
i think 0,1
Step-by-step explanation:
bc iit goes like that lol
ANSWER PLS!!
What is the answer
Answers
Answer:
C is the correct answer.(Plus I remember this question)I'll give brainliest to the right answer! I need help ASAP!
Answers
Answer:
answer: y= 1^2+ -8 I think I did this right.
Answer:
y=-1/2x-8
Step-by-step explanation:
Length of a rectangle swimming pool is 50 yards and the width of the pool is 60 yards what is the approximate length of the diagonal of pool
Answers
Answer:
Approximately 78 yards
Step-by-step explanation:
From the question, I was able to deduce that the swimming pool is a cuboid because the length and width step different in yards. After sketching a cuboid, length= 60 yards, width= 50 yards, then draw a diagonal across the upper rectangle of the cuboid, to get the diagonal, use Pythagoras theorem, Hypotenuse²= opposite²+adjacent²;. x²=60²+50²=3600+2500=6100 ;.
x²=6100 therefore X=√6100 =78.1024 yards, but approximately 78yards, since the question instructed that answer should be approximated.
1.
Which equation is true when m = 12?
Answers
Answer:
are there any more details? cant solve anything from what you have provided
Step-by-step explanation:
Use the Quotient Rule to find the UNSIMPLIFIED version of the derivative. R(w)=3w+w^4/ 2w^2+1.
Pls show work!!!
Answers
From your previous questions, you know
(3w + w⁴)' = 3 + 4w³
(2w² + 1)' = 4w
So by the quotient rule,
R'(w) = [ (2w² + 1)•(3w + w⁴)' - (3w + w⁴)•(2w² + 1)' ] / (2w² + 1)²
That is, the quotient rule gives
R'(w) = [ (denominator)•(derivative of numerator) - (numerator)•(derivative of denominator) ] / (denominator)²
I'm not entirely sure what is meant by "unsimplified". Technically, you could stop here. But since you already know the component derivatives, might as well put them to use:
R'(w) = [ (2w² + 1)•(3 + 4w³) - (3w + w⁴)•(4w) ] / (2w² + 1)²
Help me with this pls :')
Mary wants to fill in a cylinder vase. At the flower store they told her that the vase should be filled 2/3 for the flowers to last the longest. Her cylinder vase has a radius of 3 in and a height of 8 in. Using the equation below, how much water should Mary pour into the vase?
The volume of a cylinder with height h and radius r is given by the formula:
V = πr²h
Answers
Answer:
150.796 in³ of water
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Geometry
Volume of a Cylinder: V = πr²hStep-by-step explanation:
Step 1: Define
Radius r = 3 in
Height h = 8 in
Step 2: Find Volume V
Substitute [VC]: V = π(3 in)²(8 in)Exponents: V = π(9 in²)(8 in)Multiply: V = 72π in³Multiply: V = 226.195 in³Step 3: Find Water
2/3 of vase should be filled with H₂O.
Set up: 2/3(72π in³)Multiply: 48π in³Evaluate: 150.796 in³Answer:
We know the formula for the volume of a cylinder is V=πr^2has given.
That said, we can plug our values in.
V=π3^2(8)
Simplify.
V=π9*8
V=72π
It needs 72π cubic inches of water.
This is also equivalent to around 226.19 cubic inches of water.
Step-by-step explanation:
hope this helps
Pets R Us claims in their advertisement that they have the best price in town for ChowChow dog food. They sell 20-pound bags for s1695. Stuffapets also claims to have the best price in town for
ChowChow dog food. They are selling 30-pound bags for $24.95. Which store has a valid claim?
Pets R Us: 20-
pound bags for
$16.95
Stuff4Pets: 30-
pound bags for
$24.95
Answers
Answer:
stuff4pets has better price by 2 cents
Step-by-step explanation:
unit rate for chowchow is 16.95/20 = $.85 per pound
unit rate for stuff4pets is 24.95/30 = $.83 per pound
Answer:
Stuff4pet has a valid claim
I am very sure
Step-by-step explanation:
Use the graph that shows the solution to f(x) = g(x).
f(x) = -(x + 2)(x - 2)
8(x) = 2x + 21
fx)
What is the solution to f(x) = g(x)?
1
3
Select each correct answer
-2
0
2
3
2
3
-32
Answers
Consequently, the graph is correct; and the x values for the solutions are x = -2 and x = 0.
What is the solution to f(x) = g(x)?The solution to f(x) = g(x) is the value(s) of x that satisfy the equation. In other words, it is the value(s) of x that make f(x) equal to g(x).
The only problem here is determining which graph is correct:
f(x) is the same on both graphs;
g(x) = 2 |x + 2| is the absolute value graph of lxl stretched vertically two units to the left;
the "vertex" of lxl is (0, 0);
consequently, the first graph is correct; and the x values for the solutions are x = -2 and x = 0.
To know more about graph, visit:
https://brainly.com/question/11803331
#SPJ1