Answer:
the polynomial is: 3x^2-21x+30
Step-by-step explanation:
go it right on edge
A polynomial function with rational real coefficients, a leading coefficient of 3, and roots of square root of 5 and 2 can be represented as f(x) = 3(x - 2)(x - √5).
Explanation:A polynomial function with rational real coefficients, a leading coefficient of 3, and roots of square root of 5 and 2 can be represented as:
f(x) = 3(x - 2)(x - √5)
To find the polynomial function, we use the fact that the roots of a polynomial are the values of x for which the polynomial is equal to zero. Since the leading coefficient is 3, we multiply the expression (x - 2)(x - √5) by 3 to obtain the polynomial function.
In this case, the polynomial function of lowest degree is a quadratic function.
PLEASE HELP WILL GIVE 30 POINTS
Add or subtract. Show your work for each problem
a. (x^2-4x+5)+(7x^2+2x-3) b. (7x^2+4x-6)-(2x^2-3x+1)
To solve this problem you must apply the proccedure shown below:
a) You must sum terms with same exponents, therefore, you have that the sum of these two polynomials is:
[tex] (x^{2}-4x+5)+(7x^{2}+2x-3) [/tex]
[tex] 8x^{2} -2x+2 [/tex]
b) First, you must mulitply the signs of the second polynomial by the negative sign, and them, you apply an algebraic sum. Therefore, the result is:
[tex] (7x^{2}+4x-6-2x^{2}+3x-1) \\ 5x^{2} +7x-7 [/tex]
The answers are: a)[tex] 8x^{2} -2x+2 [/tex]; b) [tex] 5x^{2} +7x-7 [/tex]
a)
x² - 4x + 5 + 7x² + 2x - 3
8x² - 2x + 2
b)
7x² + 4x - 6 - (2x² - 3x + 1)
7x² + 4x - 6 - 2x² + 3x - 1
5x² + 7x - 7
The probability that an event will occur is fraction 7 over 8. Which of these best describes the likelihood of the event occurring? a.Likely b.Certain c.Unlikely d.Impossible
Answer:
A
Step-by-step explanation:
A is the correct answer because, 7/8 is very likely. It isn't certain though. There is a 12.5 % chance that it can occur.
Tickets are priced as follows:
Adult Tickets -£12
Child Tickets -£6
Cheryl rings the booking office to buy 6 adult tickets and 3 child tickets
She is told that a 10% booking fee will be added to the ticket price
2% will then be added if she is paying by credit card
Work out the total charge that Cheryl will have to pay if she uses her credit card to pay for the tickets
Answer:
down there
Step-by-step explanation:
£72 + £18 = £90
90 x 12%= £9 + £1.80
£90 + £10.80 = £100.98
Can anyone PLEASE help me with this? Will mark brainliest
Simplify the expression.
2 1/4x+(4 1/3x-7 4/5) divided by 2 3/5
a plane is traveling due south. The wind is blowing 30° east of south at 50 miles/hour.if the plane resultant speed due to the wind is 180 miles/hour,what is the plane's actual speed. rounded to the nearest integer
The plane's actual speed is 135 miles/hour if the plane is traveling due south. The wind is blowing 30° east of south at 50 miles/hour option (C) 135 miles/hour is correct.
What is an angle?When two lines or rays converge at the same point, the measurement between them is called a "Angle."
The question in incomplete.
The complete question is:
A plane is traveling due south. The wind is blowing 30° east of south at 50 miles/hour. If the plane's resultant speed due to the wind is 180 miles/hour, what is the plane's actual speed, rounded to the nearest integer?
120 miles/hour130 miles/hour135 miles/hour140 miles/hourFrom the data given in the question:
Using Cosine Law:
c² = a² + b² - 2 ac cos C
180² = 50² + x² - (2×50)x cos 150°
32400 - 2500 - x² = 86.6x
29,900 - x² = 86.6 x
x² + 86.6x - 29900 = 0
After solving the above quadratic equation:
x = 135 miles/hour
Thus, the plane's actual speed is 135 miles/hour if the plane is traveling due south. The wind is blowing 30° east of south at 50 miles/hour option (C) 135 miles/hour is correct.
Learn more about the angle here:
brainly.com/question/7116550
#SPJ6
PLEASE HELP!
The manager of a sawmill wants to find out what percentage of the boards that the mill produced are defective.
Which sampling methods are likely to be biased?
Select each correct answer.
The manager selects 20 boards at random each day for 5 days and examines them.
Every 40th board produced over the course of 1 week is selected and examined.
On 1 day, an hour after the sawmill begins production, 30 boards in a row are selected and examined.
The manager sends an email to 20 customers who buy lumber from the mill, asking each how many of the boards they bought the past week were defective. Results from the first 5 customers to respond are tallied
The third and fourth methods described are more likely to yield unbiased results, whereas the first and second methods are prone to bias.
The manager of a sawmill wants to find out what percentage of the boards that the mill produced are defective. To determine this accurately, the manager must use unbiased sampling methods.
Biased Sampling Methods
On 1 day, an hour after the sawmill begins production, 30 boards in a row are selected and examined: This method is likely to be biased because it only considers boards produced during a specific timeframe, which might not represent the entire production cycle.
The manager sends an email to 20 customers who buy lumber from the mill, asking each how many of the boards they bought the past week were defective. Results from the first 5 customers to respond are tallied: This method is biased due to its reliance on customer self-reporting and the fact that only the first few respondents are considered, which might not be representative.
Possibly Unbiased Sampling Methods
The manager selects 20 boards at random each day for 5 days and examines them: This sampling method is likely to be unbiased as it involves random selection across multiple days, covering a broader production span.
Every 40th board produced over the course of 1 week is selected and examined: This method is less likely to be biased as it systematically covers the production over a week, though it might miss defects that occur in clusters shorter than 40 boards.
In summary, the third and fourth methods described are more likely to yield unbiased results, whereas the first and second methods are prone to bias.
The sides of a right triangle have a relationship as depicted below, where x is the length of the longer leg in inches.
The area of this triangle, A, is equal to the perimeter of this triangle.
Create a system of equations to model this situation. Determine if there are any solutions, and, if possible, whether or not they are viable.
How many total possible solutions are there to this system?
Of any possible solutions, how many are viable solutions for this situation?
Answer:
two possible and one viable
Step-by-step explanation:
hope this helps!
What is Eleven less than two times a number is equal to 27
11 less implies: -11
two times a number (x) implies: 2x
equal to 27 implies: = 27
Set the equation together.
2x - 11 = 27 is your equation.
Solve for x. Note the equal sign. What you do to one side you do to the other. Add 11 to both sides
2x - 11 (+11) = 27 (+11)
2x = 38
Isolate the x. Divide 2 from both sides.
2x/2 = 38/2
x = 19
hope this helps
A right circular cylinder has a volume of 1296 cubic inches. If you divide the radius of the cylinder by 12, what would be the volume of the smaller cylinder?
Use the formula V = s³, where V is the volume and s is the edge length of the cube, to solve this problem. A cube-shaped bin has an edge length of 34 yard. What is the volume of the container? Enter your answer, as a fraction in simplest form, in the box.
HOW DO u do this?? Plz help!!!! Question 2
Is a product of a rational and irrational number, rational or irrational? Give an example
Find the first term of the arithmetic sequence in which t22=1008 and d= -8
HEEEEEEEEEEEEEEEEELP
Which of the following represents “the sum of the abscissa and the ordinate is negative four”?
A. x + y = -4
B. xy = 4
C. 4x + 4y = 0
Pedro was simplifying four over seven divided by five over eight. and his work is shown below. Identify where he made his error. Original problem: four over seven divided by five over eight. Step 1: four over seven multiplied by eight over five . Step 2: four times five over seven times eight. Step 3: twenty over fifty-six. Step 4: five over fourteen.
Answer: it's the 2nd step
Pedro made an error in step 2, he crossed multiplied instead of multiplying.
What is a fraction?Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
We have:
Pedro was simplifying four over seven divided by five over eight.
= (4/7)/(5/8)
= (4/7)x(8/5)
= 32/35
In Step 2 Pedro made mistake, he crossed multiplied instead of multiplying the numerators, and then the denominators.
Thus, Pedro made an error in step 2, he crossed multiplied instead of multiplying.
Learn more about the fraction here:
brainly.com/question/1301963
#SPJ2
At a concession stand, three hot dogs and two hamburgers cost $7.75;two hot dogs and three hamburgers cost $8.50. Find the cost of one hot dog and the cost of one hamburger
What is the equation in point-slope form of the line passing through (2,2) and (4,8)
A popular brand of running shoes costs a local store $68 for each pair. If the store sells the shoes for $119, what is the percent of increase in the price?
When translating a figure using a combination of two translations, is the resulting figure congruent to the original figure?
When translating a figure using two translations, the end result is a figure that is congruent to the original. This is due to the fact that translations move the shape without altering its size or orientation.
Explanation:Yes, when translating a figure using a combination of two translations, the resulting figure is congruent to the original figure. When a figure is translated, it is moved without being turned or flipped, the size and shape remains the same, hence making it congruent. For example, consider a parallelogram. If two different vectors A and B are chosen to translate it, following the rules of vector summation, the figure moved, known as the resultant vector retains the dimensions and angles of the original parallelogram, albeit in a different location.
Learn more about Congruence through Translations here:https://brainly.com/question/29792559
#SPJ12
29 plus j is equal to the quotient of 77 and j
Write as an equation
What is 3/4 of a year ? Write in months.
PLEASE HELP ME I BEG YOU PLEASE PLEA PLEASE
Solve 2x + y + z = 5
4x – 2y – z = 0
3x – y + 2z = 6
(1, 1, 2)
(-1, -1, -2)
(5, 0, 6)
(1, 1, -2)
Solve 3x + 6y – 6z = 9
2x – 5y + 4z = 6
-x +16y + 14z = -3
(5, 0, 1)
(9, 6, -3)
(0, 3, 0)
(3, 0, 0)
Solve –x + y + 2z = 2
2x – y + z = 5
-4x – y + 3z = 3
(2, 5, 3)
(0, 4, -1)
(1, -1, 2)
(-1, 1, -2)
Solve –x + 3y + z = 9
2x + 5y = 27
3x + y – 2z = -18
(1, 3, -2)
(21, -3, 39)
(1, 2, -4)
(22, -1, 26)
Solve x – 2y – 3z = 3
3x + y + z = 12
3x – 2y – 4z = 15
(0, 0, -1)
(3, 12, 15)
(3, 9, -6)
(-3, -9, 6)
Solve x + 3y + z = 1
2x – y – z = 6
5x + y + z = 1
(1, 6, 1)
(1, 2, -6)
(2, 1, -4)
(-1, -2, 6)
Answer:
The first one is (1, 1, 2)
The second one is (3, 0, 0)
The third one is (1, -1, 2)
The fourth one is (21, -3, 39)
The fifth one is (3, 9, -6)
The sixth one is (1, 2, -6)
which questions are good examples of a statistical question? check all that apply
a. How many pets do you have
b. do you think a pet is a lot of work?
c. do you like having a pet?
d. how many times a day do you feed your pet?
e. do you feed your pet at night?
Answer:
A and d are pretty good questions
last month you swim the 50m freestyle in 28.38 seconds. Today you swim it in 27.33 seconds what is your percent of change round to the nearest tenth of a percent if necessary
How can you estimate to find the percent of a number? Please give a full explanation.
(do not use an example to demonstrate)
Tennis balls are sold in tubes that hold 3 tennis balls each. A store stacks 2 rows of tennis ball tubes on its shelf. Each row has 7 tubes in it. How many tennis balls are there in all?
There are a total of 42 tennis balls on the shelf.
To determine the total number of tennis balls on the shelf, we first need to find out how many tennis ball tubes are there. Each row has 7 tubes and there are 2 rows:
Number of tubes per row = 7
Number of rows = 2
Total number of tubes = 7 tubes/row × 2 rows = 14 tubes
Since each tube contains 3 tennis balls, we multiply the total number of tubes by the number of tennis balls per tube:
Number of tennis balls per tube = 3
Total number of tennis balls = 14 tubes × 3 tennis balls/tube = 42 tennis balls
Therefore, the store has a total of 42 tennis balls on the shelf.
how many square feet of outdoor carpet will we need for this hole
Answer: 36 sq
Step-by-step explanation: you add 24 to 12 and get 36
Answer:
[tex]36\text{ inch}^2[/tex]
Step-by-step explanation:
We have been given an image of outdoor carpet needed for a hole. We are asked to find the area of outdoor carpet needed for this hole.
We can see that there are two pieces needed to cover the given hole.
One pieces equal 24 square inches and another pieces equal 12 square inches.
[tex]\text{Area of carpet needed to cover the hole}=24\text{ inch}^2+12\text{ inch}^2[/tex]
[tex]\text{Area of carpet needed to cover the hole}=36\text{ inch}^2[/tex]
Therefore, [tex]36\text{ inch}^2[/tex] of carpet is needed to cover the given hole.
if a + 8 = 11 what is the value of 8a
Ari bought a DVD that originally cost $15 on sale for 20% off. The sales tax is 5%. How much did Ari pay for the DVD, including tax.