The key word here is "may" meaning that we could easily have 3 rational roots as well. An example of a cubic having 3 irrational roots would be
(x-1)(x-2)(x-3) = x³ - 6x² + 11x - 6
This has the rational roots x = 1, x = 2, x = 3.
However, we could easily replace 1,2,3 with any irrational numbers we want. So that's why the statement "a cubic has three irrational roots" is sometimes true.
In some cases, a cubic may only have 1 real root and the other 2 roots are imaginary.
What is -1 1/4 + -3/8
Answer:
-13/8
Step-by-step explanation:
5 less than 3.1 times a number n plz help me
Answer:
-2.1 i guess
Step-by-step explanation:3.1 minus 5 =-2.1
The required expression will be x = 3.1 n - 5
It is given that a number is 5 less than 3.1 times a number "n" .
We have to find the expression for the given statement.
What is algebra ?
Algebra is the branch that deals with various symbols and the arithmetic operations such as multiplication , division , etc.
Let's assume the number be x.
So ,
3.1 times of number n = 3.1 × n = 3.1 n
Let's subtract 5 from the above number, i.e.,
3.1 n - 5
and , the required expression will be ;
x = 3.1 n - 5
Thus , the required expression will be x = 3.1 n - 5
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Which two ratios form a proportion? 3:4 and 6:12 3:4 and 9:15 3:4 and 12:18 3:4 and 15:20
Answer:
3:4 and 15:20
Step-by-step explanation:
3:4 and 15:20
15/3 = 5
20/4 = 5
Luke received an inheritance of $15000 that he divided into three parts and invested in three ways: in a money-market (x) fund paying 4% annual interest;in municipal bonds (y) paying 3.5% annual interest; and in mutual funds (z) paying 8% annual interest. Luke invested twice in mutual funds than in money-market fund. He earned $845 in interest the first year. How much did Luke invest in each type of fund?
Answer:
Kindly check explanation
Step-by-step explanation:
Total principal invested = $15000
Investment x at 4% (0.04)
Investment y at 3.5% = 0.035
Investment z at 8% = 0.08
z investment = 2x
Total interest earned = $845
Simple interest = principal * rate * time
y * 0.035 + x * 0.04 + 2x * 0.08 = 845
0.035y + 0.2x = 845 - - - (1)
y + x + 2x = 15000
3x + y = 15000 - - - - (2)
y = 15000 - 3x
0.035(15000 - 3x) + 0.2x = 845
525 - 0.105x + 0.2x = 845
525 + 0.095x = 845
0.095x = 845 - 525
0.095x = 320
x = 320/0.095
x = 3368.42
Z = 2x
Z = 2 * 3368.42 = $6736.84
y = 15000 - 3(3368.42)
y = $4894.74
8. Charlize and Camille solved the equation 4x - 2y = 8 for y. Their work is shown below. Which student solved the equation correctly? *
Answer: I think the answer is y=2x-4 but i cant see who’s equation is correct
Step-by-step explanation:
1/3 multiplied by 1 1/2
Answer:
0.5
Step-by-step explanation:
What is the value of 9.6 dived by 1.2
Answer:
8
Step-by-step explanation:
1.2 * 8 = 9.6
I am really behind and I REALLY need help... I am giving every point I have for this...
Answer:
Get ahead then
Step-by-step explanation:
Step-by-step explanation:
Shorts cost $16
T-shirts cost $10
So:
16x + 10y ≤ 100
or
y ≤ -1.6x + 10
Then graph y = -1.6x + 10 and x = 2
Part b:
Using the graph, we can infer that there are two possible solutions:
A. 3 pairs of shorts and 4 t-shirts
B. 4 pairs of shorts and 2 t-shirts
6a. X = number of apples, Y = number of oranges
So:
x + y ≤ 20
0.24x + 0.8y ≤ 12
x ≤ 20 - y
0.24(20 - y) + 0.8 ≤ 12
= 4.8 - 0.24y + 0.8y ≤ 12
= 0.56y ≤ 7.2
y = 12.9 (You can use twelve because there can't be a fraction of an orange.)
x = 7.14 (again, because of fractions, round to 7.)
Therefore, she got 12 oranges and 7 apples.
Part 2:
Question 1:
Both equations are unbounded.
Question 2:
Both equations are unbounded.
Question 3:
Both equations are unbounded.
Question 4:
Both equations are unbounded.
Give me a moment to add question four's graph.
For each value of y, determine whether it is a solution to 7= y ÷ 3.
the answer is yes, 21
Step-by-step explanation:
you would multiply 7 and 3 to get y
what are these rational numbers in order? 3/4, 2/7, 2/10, 5/8, 2/3, 8/4.
Answer:
2/10, 2/7, 5/8 ,2/3 ,3/4 ,8/4
Step-by-step explanation:
I learned when I was younger that the fractions with smaller denominators are bigger. (1/3 > 1/4). That changes when the numerators change. So 1/3 < 3/4. It is kinda hard to explain but there is an easier way were you find the greatest common multiple and make all the denominators equivalent.
Marge's plan costs .14 cents per minute plus a monthly fee of $24. Dan's plan costs .12 cents per minute plus a monthly fee of $28. How many minutes (m) are required for both plans to cost the same for the month?
Answer:
6 min for Marge's and 7 for Dan's plan
Step-by-step explanation:
0.14x6=0.84
0.12x7=0.84
determine whether the given expressions are perfect square trinomials. Write "P" if it is a perfect square trinomial and "N" if not. Write your answer on your answer sheet.
1.) a^2 - 22a + 121
2.) b^2 - 8b + 16
3.) 4d^2 + 20d - 25
4.) 100 + 50e + e^2
5.) 36r^2 - 60rt + 25t^2
thank you in Advance
the sum of 5 angles of an octagon is 840. What measures of the remaining 3 angles if they are congruent to one another?
Answer:
80⁰
Step-by-step explanation:
1080-840=240
240÷3=80
80=80=80
congruent means each angles are the same measure.
What is the answer to 12/45x5+6
Answer: 24.75
Step-by-step explanation:
First you would do 45x4=225, then you would divide that by 12 which equals 18.75, then you would add 6 to the ones place which is 24.75
Type the missing number in this sequence: -71, -73, -75, -77 what comes before -71?
Answer:
-69
Step-by-step explanation:
The numbers are decreasing by -2.
Which means -71+[-2]=-69
Which expression converts 100 inches per minute to feet per minute?
StartFraction 100 inches Over 1 minute EndFraction × StartFraction 60 minutes Over 1 hour EndFraction
StartFraction 100 inches Over 1 minute EndFraction × StartFraction 1 hour Over 60 minutes EndFraction
100 inches Over 1 minute times × StartFraction 1 foot Over 12 inches EndFraction
100 inches Over 1 minute times × StartFraction 12 inches Over 1 foot EndFraction
Answer:
100 inches Over 1 minute times × 1 foot Over 12 inches
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
Given the replacement set {0, 1, 2, 3, 4}, solve 5x - 4 = 16.
x = 0
x=2
X = 2
x=3
X = 3
x = 4
Answer:
the answer is x=4
Step-by-step explanation:
5x-4=19
5x=16-4
5x=20
x=4. (dividing both sides by 5)
Write what the equation will look like on the next line...
after you combine like terms.
3x + 5 + 7 = 9
Answer:
3x+12=9
Step-by-step explanation:
5 and 7 are like terms so you add them.
The measure of an angle is 8 more than the measure of the other angle. If the two angles are complementary angles, find the measure of each angle
Answer:
yd wyyhvbfhu vuhcvb u sbhn j sbjhdghdgfh jbvdfhj gbhvdfhv hvg h jhs vh gh
Step-by-step explanation:
When electrons flow with little resistance through a conductor it is called a
Answer:
The answer is free electrons
Step-by-step explanation:
When electrons flow with little resistance through a conductor, then it is called a Electricity.
What are electrons?"The electron is a subatomic particle whose electric charge is negative one elementary charge."
What is resistance?"Resistance is a measure of the opposition to current flow in an electrical circuit."
What is conductor?"A conductor, or electrical conductor, is a substance or material that allows electricity to flow through it. "
What is Electricity?The steady flow of electrons through a conductor is called electricity
Hence , if electrons are flowing that means they conducts electricity.
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jennifer bikes 7 miles south and then turns to bike 13 miles east how far away is she from where she started?
Answer:
She is about 14.765 miles ([tex]\sqrt{218}[/tex] miles) from where she started
Step-by-step explanation:
There is a relation between the three sides of the right triangle
The side opposite to the right angle is called hypotenuse and it is the longest sideThe other two sides called legs of the right angleThe relation between them is: (hypotenuse)² = (leg1)² + (leg2)²∵ Jennifer bikes 7 miles south
∵ She turns to bike 13 miles east
∵ South and East are perpendicular
→ That means the distance from her start point to end point represents
a hypotenuse of a right triangle, whose legs are 7 and 13
∴ (hypotenuse)² = (leg1)² + (leg2)², where
hypotenuse is the distance between her start and end pointsleg1 is her distance in south directionleg2 is her distance in east direction∵ Leg1 = 7 miles
∵ leg 2 = 13 miles
∴ (hypotenuse)² = (7)² + (13)²
∴ (hypotenuse)² = 49 + 169
∴ (hypotenuse)² = 218
→ Take √ for both sides
∴ hypotenuse = [tex]\sqrt{218}[/tex]
∴ hypotenuse ≅ 14.76482306
∴ She is about 14.765 miles ([tex]\sqrt{218}[/tex] miles) from where she started.
Mr. Swanson bought a package of 10 disposable razors for $6.30.He found that each razor lasted for 1 week. What was the cost per day?
Answer:
don't even know hope u get it tho
You start at (-2, 2). You move up 1 unit and left 3 units. Where do you end?
Answer:
(-5, 3)
Step-by-step explanation:
Moving up one will give you (-2, 3) and moving left three brings you to (-5, 3).
RiDdLE oF ThE DaY: PaRt 2- Mr.White had been missing and the only evidence he left behind was a paper that said "The first of July, the fourth of January, the first of December and the eighth of February" the police questioned the people that were in the house at that time. Judy said she was at her parents house, Logan was Mr.Whites secretary said he was working on a report for his boss and haven't left his room and Rose, Mr. Whites daughter said she was having guest and never left the living room. Can you crack the case?
Answer:
Step-by-step explanation:
1st of July: J
4th of January: U
1st of December: D
8th of February: Y
Answer: JUDY!
Answer:
Child this has to be one the most hard riddles I ever did
Step-by-step explanation:
A family travels to Bryce Canyon for three days. On the first day, they drove 140
miles. On the second day, they drove 200 miles. What is the least number of miles
they drove on the third day if their average number of miles per day was at least
180?
A family travels to Bryce Canyon for three days. On the first day, they drove 140 miles. On the second day, they drove 200 miles. What is the least number of miles they drove on the third day if their average number of miles per day was at least 180?
A:To find the average number of something, you would take all of the numbers you want to find the average of, add them together, and divide by the total number of items you added up.
For example: in this question, you have 140 miles, 200 miles, and x miles (the amount of miles they drove on the third day).
You would add all of these miles together and divide by 3, since you added 3 numbers together. This would equal the average.
Finding the average:
Create an equation where all of the miles they drove are added together, divide this expression by 3, and set this greater than or equal to 180 (since they drove at least 180 miles on average).
(140 + 200 + x)/3 ≥ 180Solve for x to find the least number of miles they drove on the third day. Multiply both sides by 3.
140 + 200 + x ≥ 540Combine like terms on the left side of the equation.
340 + x ≥ 540Subtract 340 from both sides of the equation.
x ≥ 200The least number of miles the family drove on the third day was 200 miles, since x can't be anything less than 200.
Answer: x = 200 milesOne taxi company charges $12.50 plus $0.15 per mile for a fare to the airport. Another taxi
company charges $6.50 plus $0.35 per mile for the same fare. For how many miles will the two
companies charge the same amount?
HELP ME PLEASE ‼️‼️‼️
Answer:
Step-by-step e I can use inequalities to solve word problems with one or more ... Money: The coupon is good for any item that costs less than $10. ... than or equal to ban ... Yellow Cab Taxi charges a $1.75 flat rate in addition to $0.65 per mile. ... has a cell phone plan that charges $0.07 per minute plus a monthly fee of $19.00.xplanation:
which figure shows that M is a midpoint ? select all apply
Answer:
I don't see the figures.
Step-by-step explanation:
A hairstylist schedules 1/4 our trim a customer's hair and 1/6 hour to style the customers hair hairstyles plans to work 3 1/3 hours each day for five days a week how many appointments can hairstylist schedule each week if the customer must be trimmed and styled A hairstylist schedules 1/4 hour trim a customers hair and 16 away to style the customers here he said his plans to work 3 1/3 hours each day for five days a week how many appointments can hairstylist schedule each week if the customer must be trained in styl
Answer:
40 appointments
Step-by-step explanation:
From the question, we have the following information
Amount of time to trim a customer's hair = 1/4 hour
Amount of time to style a customer's hair = 1/6 hour.
Total time spent on a customer
= (1/4 + 1/6)hour
L.C.M = 12
= (3 + 2/12) = 5/12 hour spent on a customer for trimming and styling
She plans to work for 3 1/3 hours per day for 5 days a week.
The total number of hours in a week that she works is calculated as:
3 1/3 × 5
= 10/3 × 5 = 50/3 hours = 23 1/3 hours
1 customer = 1 appointment = 5/12 hour
Therefore, the number of appointments she can schedule for 5 days a week if the customer must trim and style is calculated as:
5/6 hour = 1 appointment
50/3 hours = x appointments
Cross Multiply
5/6 hour × x = 50/3 hour × 1 appointment
x = 50/3 ÷ 5/12
x = 50/3 × 12/5
= 40 appointments.
The number of appointments she can schedule for 5 days a week if the customer must trim and style is 40 appointments.
Which line is perpendicular to a line that has a slope of One-half?
line AB
line CD
line FG
line HJ
Answer:
D
Step-by-step explanation:
Answer:
HJ
Step-by-step explanation:
6 Ms. Flynn's class is painting a circular canvas. Its diameter is 5 feet. What is
the area of the canvas to the nearest whole number? Use 3.14 for .