Due in 5 min pls help
Answer:
Step-by-step explanation:
12 or 3
how does (4x + 5)(3x + 10) demonstrate the closure property for polynomials?
Answer:
Step-by-step explanation:
A polynomial is a finite sum of terms in which all variables have whole number exponents and no variable appears in a denominator.
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box1
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The leading term in a polynomial is the term of highest degree.
The constant term in a polynomial is the term without a variable.
Polynomials: YES or NO
3x½
NO - exponent is not a whole number
polyd
NO - the variable is in the denominator
-3x2
YES - satisfies the polynomial definition
polyd1
NO - the square root of x can be written with a fractional exponent of x.
2x-3
NO - exponent is not a whole number.
Negative exponent places x3 in denominator.
polyrad3
YES - the exponent of x is 1 which is OK.
The coefficient being radical 3 is not a problem.
Classification by Terms
monomial
one term: 12, 4x, x2, -5xy
binomial
two terms: 2x - 1, x2 - 4
trinomial
three terms: x2 + 2x + 1
polynomial - one or more terms: polynomial means "many", but it can also be one term.
The ending of these words "nomial"
is Greek for "part".
Classification by Degree
Linear - degree of 1 or 0: 3x + 1 or 12
Quadratic - degree of 2: 2x2 - x + 7
Cubic - degree of 3: 3x3 + 4x2 + 3x + 5
definition The degree of a term with whole number exponents is the sum of the exponents of the variables, if there are variables. Non-zero constants have degree 0, and the term zero has no degree. Example: 6x2 has a degree of 2; 4x2y3 has a degree of 5 (the sum of 2 and 3).
definition
The degree of a polynomial is the highest degree of its terms.
Example: 3x2 + 4x + 1 has a degree of 2; x3 - x2 + 5x - 2 has a degree of 3
The standard form of a polynomial is when all like terms are combined and the degrees are arranged in descending order.
Polynomial: 2x + 3x5 + 4x3 - 8
Standard form: 3x5 + 4x3 + 2x - 8
3x5 + 4x3 + 2x1 - 8x0
boxdegree1
Will we ever really use the degree?
Knowing the "degree" of a polynomial function will let you determine the most number of solutions the function may have, and the most number of times the function will cross the x-axis.
FYI: The standard form of a polynomial is formally written as anxn + an - 1xn - 1 + ... + a2x2 + a1x + a0, where n is a non-negative integer, and a0, a1, a2, ..., an are real number constant coefficients with an ≠ 0.
bullet Polynomials and Closure:
Polynomials form a system similar to the system of integers, in that polynomials are closed under the operations of addition, subtraction, and multiplication.
CLOSURE: Polynomials will be closed under an operation if the operation produces another polynomial.
• Closure under Addition: (2x2 + 3x + 4) + (x2 - 5x - 3) = 3x2 - 2x + 1
When adding polynomials, the variables and their exponents do not change. Only their coefficients will possibly change. This guarantees that the sum has variables and exponents which are already classified as belonging to polynomials. Polynomials are closed under addition.
• Closure under Subtraction: (2x2 + 3x + 4) - (x2 - 5x - 3) = x2 + 8x + 7
When subtracting polynomials, the variables and their exponents do not change. Only their coefficients will possibly change. This guarantees that the difference has variables and exponents which are already classified as belonging to polynomials. Polynomials are closed under subtraction.
• Closure under Multiplication: (x + 1)(x2 + 4x + 3) = x3 + 5x2 + 7x + 3
When multiplying polynomials, the variables' exponents are added, according to the rules of exponents. Remember that the exponents in polynomials are whole numbers. The whole numbers are closed under addition, which guarantees that the new exponents will be whole numbers. Consequently, polynomials are closed under multiplication.
What about division?
Polynomials are NOT closed under division. Look at this simple counterexample:
closure1
When dividing variables with exponents, there is the possibility of creating a negative exponent. Negative exponents are not allowed in polynomials.
Which statements are true about the figure? Check all that apply.
1. The figure is a triangular prism.
2. The figure is a rectangular pyramid.
3. The figure has 6 vertices.
4. The figure has 6 faces.
5. The figure has 9 edges.
Answer:
1,3,5
Step-by-step explanation:
Answer:
1,3,5
Step-by-step explanation:
1: The figure has triangles at both bases.
3: The figure has six ends/corners with more than three connecting.
5: The figure has 9 edges.
When Grayson moved into a new house, he planted two trees in his backyard. At the time of planting, Tree A was 29 inches tall and Tree B was 14 inches tall. Each year thereafter, Tree A grew by 2 inches per year and Tree B grew by 5 inches per year. Let A A represent the height of Tree A t t years after being planted and let B B represent the height of Tree B t t years after being planted. Write an equation for each situation, in terms of t , t, and determine the height of both trees at the time when they have an equal height.
Michael is a real estate agent who sells a house. He received $5,250 for a 3% commission on the house. How much did the house sell for?
Answer: $157.50
Step-by-step explanation:
$5250÷100=$52.50
52.50×3=$157.50
I need help please this due in 6 minutes
Answer:
First one
Step-by-step explanation:
Take Square root of 64/9 which is 8/3.
8/3 is greater than 7/3
Hence,
Square root 64/9 > 7/3
help me plz no links
Which statement below is the correct definition for denoting similar objects?
Similar objects have proportional angles and proportional sides.
Similar objects have proportional angles and congruent sides.
Similar objects have congruent angles and proportional sides.
Similar objects have congruent angles and congruent sides.
Answer:
i guess. Similar objects have congruent angles and proportional sides.
Answer:
Similar objects have congruent angles and proportional sides.
Step-by-step explanation:
help me with this please
giving away brainly
Answer:
Just take a screenshot of it and submit it
Step-by-step explanation:
https://pdf.ac/A3CSF
What percent of students selected Winter?
Answer:
10%
Step-by-step explanation:
10% of the students selected winter.
Brainliest? Please?
Answer:
10%
Step-by-step explanation:
16+29+67+48=160160/16=10 10% i really hope this is correct i went by what i know and what i have learned about how to get percentages:) let me know if it correct plzThe sum of a number and 40 is 5 less than the product of the number and 6. What is the number?
Answer:
9
Step-by-step explanation:
40+9 = 49
6x9 = 54
49+5=54
The perimeter of a rectangle is 20 centimeters. Its length is 6 centimeters. What is its width?
Answer:
4 centimeters
Step-by-step explanation:
6+6=12
20-12=8
8/2=4
PLSS HELP, WILL GIVE OUT BRAINLIEST ANSWER
Shivani was hoping to practice for her game but discovered that her basketball needed air. When fully inflated, the basketball’s diameter is 10 inches. If there are approximately 261 cubic inches of air in the basketball, which of the following statements is true?
1/2 of the basketball is filled with air.
1/4 of the basketball is filled with air.
4/3 of the basketball is filled with air.
3/5 of the basketball is filled with air.
Answer:
4/3 of the basketball is filled with air.
Step-by-step explanation:
Answer:
4/3
Step-by-step explanation:
What is the Independent variable and the Dependent variable?
Answer:
The independent variable is the number of rides, and the dependent variable is the amount of money spent.
Step-by-step explanation:
I need help and this is due tonight (lots of questions incoming)
Answer: it is a
Step-by-step explanation:
Figure ABCD below is transformed to obtain figure A′B′C′D′:
A coordinate grid is shown from negative 6 to 6 on both axes at increments of 1. Figure ABCD has A at ordered pair negative 4, 4, B at negative 2, 2, C at negative 2, negative 1, D at negative 4, 1. Figure A prime B prime C prime D prime has A prime at ordered pair 4, 0, B prime at 2, negative 2, C prime at 2, negative 5, D prime at 4, negative 3.
Part A: Write the sequence of transformations that changes figure ABCD to figure A′B′C′D′. Explain your answer and write the coordinates of the figure obtained after each transformation. (6 points)
Part B: Are the two figures congruent? Explain your answer. (4 points)
Figure ABCD was reflected over the y axis to get A'(4, 4), B'(2, 2), C'(2, -1) and D'(4, 1). It was then translated 4 units down to form A''(4, 0), B''(2, -2), C''(2, -5) and D''(4, -3)
What is transformation?Transformation is the movement of a point from its initial location to a new location. Types of transformation are translation, reflection, rotation and translation.
Figure ABCD was reflected over the y axis to get A'(4, 4), B'(2, 2), C'(2, -1) and D'(4, 1). It was then translated 4 units down to form A''(4, 0), B''(2, -2), C''(2, -5) and D''(4, -3)
Find out more on transformation at: https://brainly.com/question/4289712
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Please help! Only have a few minutes left to answer before it's waaay too late! It's the final extension!
Answer:
4.63 x 3 = 13.89 (3 hotdogs and 6 bags of chips)
18.39 - 13.89 = 4.5 (2 hotdogs)
4.5 divide by 2 = $2.25
the answer is for one hot dog it is x= $2.25
Step-by-step explanation:
study hard and dont give up on anything, i hope you have a amazing day ❤️
A game at a carnival has 4 colors on a wheel, as seen in the diagram. Each section of the wheel is the same size.
Answer:
The number of ways in which the digits can be assigned in the color wheel can be determined by the permutation of 8 taken 4 since it is in circular formation and whichever comes first is not important.
number of ways = 9P4 = 3024 ways
Step-by-step explanation:
one
PART 5: FOOD (COMPOUND PROBABILITY)
At of
your restaurants, a variety of desserts are placed on the counter for people to
buy at the end of their meals. Some of your best sellers include cheesecake, cookies, and
apple pie. Label the plates below with the three desserts. The first few have been done for
you.
cookies
cheesecak
apple pig
ОС
Oood
USE THE ABOVE INFORMATION TO ANSWER THE QUESTIONS BELOW:
What is the probability of a person randomly selecting a cheesecake, putting it back, and
then selecting a cookie? Express your answer as a fraction, decimal, and percent.
Someone can steal the food lol
The probability of a person randomly selecting a cheesecake, putting it back, and then selecting a cookie is 1/100, 0.01, or 1%.
We have,
To find the probability of selecting a cheesecake, putting it back, and then selecting a cookie, we need to determine the individual probabilities of each event and multiply them together.
The probability of selecting a cheesecake is 1 out of 10, since there is one cheesecake out of 10 options.
Therefore, the probability of selecting a cheesecake is 1/10.
After putting the cheesecake back, the total number of options remains the same, so the probability of selecting a cookie is also 1 out of 10, which is 1/10.
To find the probability of both events happening, we multiply the individual probabilities:
Probability of selecting a cheesecake and then a cookie
= (1/10) * (1/10)
= 1/100
Expressed as a decimal, the probability is 0.01.
To express it as a percentage, we multiply the decimal by 100:
Probability = 0.01 * 100 = 1%
Therefore,
The probability of a person randomly selecting a cheesecake, putting it back, and then selecting a cookie is 1/100, 0.01, or 1%.
Learn more about probability here:
https://brainly.com/question/14099682
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please help me with these
Quincy is having a sale at his store. He is selling a table for $450. If the sales tax is 8.5%, then how much will a customer need to pay in taxes if they buy the table? *
answer choices
$14.50
$22.75
$38.25
$45.50
if you deposit $2500 into a savings account that earns 2% simple interest, how much will be your account in all after 4 years?
answer choices
$200
$250
$2700
$3750
You have saved up enough money to buy some awesome jeans. Store A is offering the jeans for 15% off. Store B is offering the jeans for $10 off. If the jeans cost $45 before the discounts, which store is offering the jeans at a lower cost? *
answer choices
Store A
Store B
They both end up costing the same amount
Answer:
1) 450(0.085) =
$38.25
2) $200
Trish is sorting bolts for her home repair business. She has an 8-pound bag of bolts. If each kitchen her team repairs requires 1/5 pound of bolts, how many kitchen can she repair? Joshua solves the problem by finding 8÷1/5=40. Melanie solves the problem by finding 8×5=40
. Use the drop-down menus to explain why Joshua and Melanie are both correct.
a whole number by a unit fraction is the same as multiplying a whole number by the of the unit fraction.
Answer:
A whole number divided by a unit fraction is the same as multiplying a whole number by the inverse of the unit fraction.
Step-by-step explanation:
Given
[tex]8 \div \frac{1}{5} = 40[/tex]
[tex]8 * 5 = 40[/tex]
Required
Explain why both expressions are correct
No dropdown to select from. So, I will provide a general solution.
When a number is divided by a fraction.
Take for instance:
[tex]8 \div \frac{1}{5}[/tex]
The above can be expressed as the product of the number and the inverse of the fraction.
The inverse of 1/5 is 5.
So, we have:
[tex]8 \div \frac{1}{5} = 8 * 5[/tex]
The result of the above expression is:
[tex]8 \div \frac{1}{5} = 8 * 5 = 40[/tex]
A bank determines the amount a borrower owes using the formula A = P(1 + n)',where A is the total amount owed, p is the amount borrowed, r is the percent interest rate expressed as a decimal, and t is the number of years. To the nearest dollar, what is the total amount of money that would be owed if $150,000 were borrowed at 6% for 15 years?
A. $240,000
B. $285,000
C. $346,959
D. $359,484
Answer:
A
Step-by-step explanation:
P=150,000(1+.06)
P=150,000(1.06)
P=240000
PLEASE help me ; - ; (USAtest prep)
Can u plz put this into an improper fraction?
4 2/3
Answer:
14/3
Step-by-step explanation:
Answer:
14/3
Step-by-step explanation:
hope this helps
have a great day
pls, help me!
There are 10 pieces of paper numbered 1 through 10. How many of the pieces of paper have numbers that are at least 8?
Answer:
3 pieces of paper
Step-by-step explanation:
The questions asks you to state the number of paper pieces that have a number 8 or greater written on it. In numbers 1-10, there are three numbers 8 and greater- 8, 9, and 10.
Which list could represent the four angle measures of a quadrilateral if one angle measures 125°?
A. 10°, 10°, 125°, 125°
B. 15°, 15°, 25°, 125°
C. 15°, 15°, 115, 125°
D. 55°, 55°, 125°, 125°
Answer: D
Step-by-step explanation:
The sum of the interior angles of a quadrilateral is 360°.
55+55+125+125=360
Answer:
D. 55, 55, 125, 125
Step-by-step explanation:
To solve this problem we first need to know what the total degrees of a 4 angle quadrilateral is. The answer to this is 360°. Knowing this, we need to figure out which combination of numbers adds up to 360. To do this, I go through the list and check all of the options.
A.) 10+10+125+125=270
B.) 15+15+25+125=180
C.) 15+15+115+125=270
D.) 55+55+125+125=360
Which letter labels a vertex?
A. A only
B. B
C. C
D. A and D
Answer:
l think it is c
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
In geometry, a vertex, often denoted by letters such as P, Q, R, S, is a point where two or more curves, lines, or edges meet. As a consequence of this definition, the point where two lines meet to form an angle and the corners of polygons and polyhedra are vertices.
Pls help due in 5 mins
Answer:
60 cm
Step-by-step explanation:
please help me i am struggling with math
Answer:
1 hour and 45 minutes
Step-by-step explanation:
3 goes into 1/2 6 times.
multiply 9 and 6 to get the distance she needs to travel.
distance is 54 miles in total.
then i used a distance and speed calculator to determine 30 mph to travel 54 miles. that got the answer 1 hour and 45 minutes.
fake answers will be reported
Answer:
114,2
Step-by-step explanation:
the square = 8×8 = 64
the quarter circle=
[tex] \frac{1}{4} \times ( {8}^{2} \times 3.14) = 16 \times 3.14 = 50.24[/tex]
64+50,24=114,24
