Answer:
x³ - 11x² + 41x - 51Step-by-step explanation:
The least number of degree is 3 and the third root should be (4 - i) to make polynomial rational.
The polynomial is:
(x - 3)(x - (4 + i))(x - (4 + i)) = (x - 3)(x² -x(4 + i + 4 - i) + (4 + i)(4 - i)) = (x - 3)(x² - 8x + 16 - (-1)) = (x - 3)(x² - 8x + 17) = x³ - 8x² + 17x - 3x² + 24x - 51 = x³ - 11x² + 41x - 51A man walks for 2 hours at a certain speed. He then cycles at three times that speed for 4 hours. He goes 77 km altogether. Find the speed at which he walks.
The speed at which he walks is 7.7km/hr
The formula for calculating the distance is expressed as;
distance = speed * time
Let the speed moved by the man be x
If the man walks for 2 hours at a certain speed, his distance will be 2x km
If he then cycles at three times that speed for 4 hours, the new the speed at which he walks is 7.7km/hr
If he goes 77km altogether, hence;
2x + 4(2x) = 77
2x + 8x = 77
10x = 77
x = 77/10
x =7.7km/hr
Hence the speed at which he walks is 7.7km/hr
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Rachel's income for July is $3300. She spent $1000 for rent, $150 on student loans, $100 for a new
tablet, and $450 on groceries. How much of her monthly income is left?
Answer: 1300
Step-by-step explanation:
3300-1000=2000
2000-450=1550
1550-150=1400
1400-100=1300
Harper was out at a restaurant for dinner when the bill came. She wanted to leave a tip of 16%. What number should she multiply the cost of the meal by to find the total plus tip in one step?
Answer:
Harper would take the Total Bill after tax and mutiply it by 0.16.
The formula for this would be
Total Bill = x
Tip = 16% -> 16/100 = 0.16
So
0.16x
Plzzzzz help
Among the following rational numbers,
which has the greatest value?
A. 0.34
B. 0.34
C. 0.34
D. 0.343
E. 0.3409
Answer:
D. 0.343
Step-by-step explanation:
You can see the first three options as 0.340 so if you substract this number with 0.343 the remainder is positive 3.
This strategy also can be applied to the number 0.3409 but in this occasion the result is different:
[tex]0.343 - 0.3409 = 2.1\times 10^{-3}[/tex]
That is small number but still is positive that's meaning that between 0.343 and 0.3409 the greatest value is 0.343 .
Lord...... Help me god pleas I will be giving u guy's credit.
Answer:
a. 36
b. 8.5 (8 1/2)
c. 2/5
d. 6
e. 9
f. 8
Step-by-step explanation:
a. 36
b. 8.5 (8 1/2)
c. 2/5
d. 6
e. 9
f. 8
Write and then evaluate an expression for the following number line.
Answer:
Step-by-step explanation:
what is the largest number you can make with these digits ? 2 5 9 6 answer _____________
Hello, hope you are having a splendiferous day.
Here are the numbers you can make with these 4 digits:
2596
6952
2965
5629
And so on.
However, the largest number we can make using these digits is
9652
Hope it helps. Glad to help.
Ask me if you have any queries.
Carry On Learning
~An emotional teen who helps others with joy
Good luck.
8 9/10 - 3 2/3 = Plz answer
Concept:- In mixed fractions, we will have one whole number and a proper fraction. So, first we should convert them into improper fractions, which has the numerator greater than the denominator. After, converting to that we should convert the unlike fractions to like fractions by the method of LCM of denominators. Then, we can sub all the fractions so that we can get the answer.
Explanation:
{8(9/10)} - {3(2/3)}
Convert all mixed fractions to proper fractions.
= {(80+9)/10} - {(9+2)/3}
Now, add the both numerators.
= (89/10) - (11/3)
LCM of 10 & 3 is 30.
= {(89*3)/(10*3)} - {(11*10)/(3*10)}
Now, multiply the numerator and denominator of all fractions.
= (267/30) - (110/30)
Write all numerators with common denominator.
= {(267-110)/30}
Subtract the fraction and write it in simplest form.
= 157/30
Write the obtained answer in the form of mixed fraction.
= {5(7/30)}.
also read similar questions: 5/7 + 3 2/5 = 5/9 + 2 4/7 = 6 2/6 + 4/11 = 10 2/3 + 5 1/4 = 9 1/2 + ....
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a car traveling at 49 ft/sec decelerates at a constant 7 feet per second squared. how many feet does the car travel before coming to a complete stop?
Answer:
7feet I hope this help you.
If 15 points is 13 cents how much would 5000 be?
Answer: at least 50 dollars
Step-by-step explanation:
Step-by-step explanation:
15 points ⇒ 13 cents5000 points ⇒ xCross-multiply to find x:
x = 5000*13/15x = 4333 cents or $43.33Rewrite each equation in standard form.
4 and 5 only
Answer:
4) 2=4x-3y
5) 51=21x-3y
Step-by-step explanation:
I gave it my best shot, I used fraction busters to cancel out the fractions and then I used simple math and distributive property. Hope it helps.
the quotient of 28
divided by four
increased by 3
Step-by-step explanation:
28 / 4 = 7
7 + 3 = 10
so, 10 is your answer
Answer:
Step-by-step explanation:
28 ÷ 4 = 7
7 + 3= 10
consider the following matrix. I need to know if the system has zero or infinite solutions or just one solution and if the matrix does/does not have an inverse.
Answer:
I think it would be no solution
Step-by-step explanation:
since there is the same slope, the line would never cross. Also the determinate is 0 or 1/0, so there would be no solution
If a rope four yards long is cut into three equal pieces, each piece will be A. 4feet B. 3 1/2 feet C. 3 1/3 D. 3 feet E. 2 1/4 feet
Answer:
A 4 Feet
Explanation 4yards=12feet 12 divided by 3=4
Jon paid $40 for a shirt, but later that week the
price had been raised by 15%...how much did
the shirt go up?
Please give a walk through ty
Answer:
15% of 40 is 6
9514 1404 393
Answer:
$6
Step-by-step explanation:
15% is the ratio of the price increase to the original price.
As a fraction 15% = 15/100 (fifteen hundredths).
As a decimal, 15% = 0.15 (fifteen hundredths).
__
The statement about the price increase is telling you ...
(increase)/(original) = 0.15
Multiplying by the original price, we get ...
(increase) = 0.15×(original) = 0.15 × $40 = $6.00
The price of the shirt went up $6.00.
would you treat the following items as assets in the accounts of a company? 1- A box file 2-A computer 3-A plastic display stand
An asset is an item from which economic benefits flow unto an entity (a person or company in control of it). It can be in monetary terms or non-monetary terms. Thus, we can conclude from the question that:
1. A box file - It is an asset.
2. A computer - It is an asset.
3. A plastic display stand - It is not an asset.
An asset is that which ensure a continuous flow of economic benefits to an entity in possession (i.e control) of it. It can either be non-current or current.
A non-current asset is that which would be in the control of the entity for more than one accounting period (i.e a year). Examples are properties, Plants and equipment etc. While the current asset are those that the economic benefits derived from them would be lost after one accounting period (i.e a year). Examples are: purchased goodwill, intangible assets etc.
The items given in the question can be categorized as follows:
1. A box file - It is an asset. Since the entity will continue to use the box for more than a year.
2. A computer - It is an asset. The computer would be used for more than one accounting period.
3. A plastic display stand - It is not an asset. The plastic stand has a high probability of getting damaged even before the end of the accounting period.
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Identify a pattern in each list of numbers. Then use this pattern to find the next number.
-3, 12, -33, 102, -303, ___
[tex]\begin{array}{cccccccc}\\ \underline{-3}&,&12&,&-33&,&102\\ \cline{1-7} &&(-3)(\underline{-3})+3&&(-3)(12)+3&&(-3)(-33)+3 \end{array} \\\\[-0.35em] ~\dotfill\\\\ \begin{array}{ccc} -303&,&912\\ \cline{1-3} (-3)(102)+3&&(-3)(-303)+3 \end{array}[/tex]
A small publishing company is releasing a new book. The production costs will include a one-time fixed cost for editing and an additional cost for each book
printed. The total production cost C (in dollars) is given by the function C-550 +15.95N, where N is the number of books,
The total revenue earned (in dollars) from selling the books is given by the function R=31.90N.
Let P be the profit made (in dollars). Write an equation relating P to N. Simplify your answer as much as possible.
Please answer me ASAP I need an answer.
Answer:
P = 15.95N - 550Step-by-step explanation:
The profit is the difference between the revenue and the total cost:
P = R - CSubstitute values:
P = 31.90N - (550 + 15.95N)P = 31.90N - 15.95N - 550P = 15.95N - 550The difference between cost and revenue is profit
P=R-CP=31.90N-(15.95N+550)P=31.90N-15.95N-550P=15.95N-550Maya is helping a gardener plant 300 bulbs. They plant 20% of the bulbs on Monday and 30% of the bulbs on Tuesday. Maya says this means they have planted 50 bulbs so far. Label and shade the model. Then use your model to explain why Maya's statement is not reasonable.
Answer:
because the total is 300 not 100 so 50 is not reasonable because that is the percentage they planted and since it is more than 100 then it should be a percent of 300 not 100. Maya is wrong about placing 50 bulbs instead they placed 150.
Step-by-step explanation:
Need some help with these 2 math questions, They are related so best to finish one then work on the bisect. Thank you.
Answer:
∠RQT = 23.5
∠PQR = 133°
Step-by-step explanation:
Question 1Step 1 - Add angles together:
As all angles on a straight line must add up to 180°:
3x - 5 + x + 1 = 180
Add like terms together
3x + x - 5 + 1
4x - 4 = 180
Step 2 - Add 4 to both sides of the equation:
4x - 4 + 4 = 180 + 4
4x = 184
Step 3 - Divide both sides by 4:
[tex]\frac{4x}{4} = \frac{184}{4}[/tex]
x = 46
∠RQS = x + 1
∠RQS = 46 + 1
∠RQS = 47
Given the ray QT bisects ∠RQS, the angles must be the same on either side so:
47 ÷ 2 = ∠RQT
∠RQT = 23.5
Question 2As we know the value of x:
∠PQR = 3x - 5
Plug known values in:
3x - 5
3(46) - 5
138 - 5
∠PQR = 133°
This can also be calculated by subtracting known angle ∠RQS from 180:
180 - 47 = 133.
Hope this helps!
g A long-term study has revealed that a test for cancer in men is very effective. The study shows that 89% of the men for which the test is positive actually have cancer. If a man selected at random tests positive for cancer with this test, what is the probability that he does not have cancer
The perimeter of the figure below is 32.6 m. Find the length of the missing side.
Answer: 4.6
Step-by-step explanation: let the missing length be x
2+2+4.8+4.8+4.8+4.8+.4.8+x=32.6
28+x=32.6
x=32.6-28
x=4.6
How long will it take for an investment to triple in value if it earns 81% compounded continuously? Round your answer to three decimals.
A. 0.678 years
B. 0.856 years
C. 1.356 years
D. 1.366 years
The number of years it would take an investment to triple with continuous compounding is 1.356 years.
The formula for calculating future value of an investment when there is continuous compounding is FV = A x [tex]e^{r}[/tex] x N
Where:
A= amount e = 2.7182818 N = number of years r = interest rateFV = future value FV / A = 3N = log(3) / log(e) / 0.81 = 1.356 years
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In a regression model of student grades, we would code the nine categories of business courses taken (ACC, FIN, ECN, MGT, MKT, MIS, ORG, POM, QMM) by including nine binary (0 or 1) predictors in the regression. Group startsTrue or False
Binary predictors are simply used to represent dummy variables in regression.
The statement that the nine categories can be coded by nine binary predictors is false.
Binary predictors can only take any of the two binary values (0 and 1).
This means that, the nine categories cannot be represented using binary values or predictors
This is so because, the number of categories (9) is greater than the number of predictors (2).
Hence, the given statement is false
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5.
Use the quadratic model y = -4x^2 - 3x + 4 to predict y if x equals 5.
A. -89
B. -111
C. -411
D. -51
Answer:
B. -111
Step-by-step explanation:
y = -4x^2 - 3x + 4
x = 5
y = -4(5)^2 - 3(5) + 4
y = -4(25) - 15 + 4
y = -100 - 15 + 4
y = -111
...............................................................................................................................................
Please, write -4x^2 (not 04x2).
Then the quadratic model is y = -4x^2 - 3x + 4.
Now substitute 5 for x: y(5) = -4 (5)^2 - 3(5) + 4
Simplifying, y(5) = -4(25) - 15 + 4 = -100 - 11 = -111.
...........................
Answer:
i think its c
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
because -100,-57/8,6
the absolute value of -6 is 6 and
-8 7/8 is 8×(-8)+7=-64+7/8=-57/8 because when negative plus positive we subtract and we take the sign of the larger number
negative seven times a number is negative two hundred forty five. what is the number?
pleasee i need help
Answer:
35
Step-by-step explanation:
since i couldn't answer before
C plus 3/8 equals 1 1/3 what does C equal
ASAP
Answer:
Exact Form:
C=23/24
Decimal Form:
C=0.9583
Step-by-step explanation:
gemomtry plz help 15 points
Answer:
DE = 5x-12 (base angles of isos triangle)
select all the ways you can describe the given polygon
Answer:
Isoceles and obtuse
Step-by-step explanation: