Answer:
Step-by-step explanation:
A
PLEASE HELP IMMEDIATELY (WILL GIVE 30 POINTS!!!) Use your answer to problem 2 to find the measure of /LOM and /MON. (The answer to problem 2 is x = 9)
Each interior angles of a rectangle is equal to 90° so m∠MON and m∠LOM are complementary as they add up to 90°. The value of x = 9. Angles m∠MON = 72° and m∠LOM = 18°. The angle m∠POQ = 18° because m∠LOM and m∠POQ are vertical angles.
How to calculate the angles of the rectangle.The angles m∠MON and m∠LOM form one of the interior angles of a rectangle, hence they are complementary as they add up to 90°.
we shall solve for x as follows:
2x + 7x + 9 = 90
9x + 9 = 90
9x = 90 - 9 {subtract 9 from both sides}
9x = 81
x = 81/9 {divide through by 9}
x = 9
m∠MON = 7(9) + 9 = 72°
m∠LOM = 2(9) = 18°
The angles m∠LOM and m∠POQ are vertical angles formed by the two straight lines MA and LP, hence;
m∠LOM = m∠POQ = 18°
In conclusion, each interior angles of a rectangle is equal to 90° so m∠MON and m∠LOM are complementary as they add up to 90°. The value of x = 9. Angles m∠MON = 72° and m∠LOM = 18°. The angle m∠POQ = 18° because m∠LOM and m∠POQ are vertical angles.
Know more about rectangles here:https://brainly.com/question/23008020
#SPJ1
Select the correct answer. Which calculation correctly uses prime factorization to write 48 in simplest form? A. 48 = 2 ⋅ 2 ⋅ 2 ⋅ 2 ⋅ 3 = 2 12 B. 48 = 4 ⋅ 12 = 2 12 C. 48 = 2 ⋅ 2 ⋅ 2 ⋅ 2 ⋅ 3 = 4 3 D. 48 = 16 ⋅ 3
(C) 48 = V2 -2 -2 -2 - 3 = 4√3 correctly uses prime factorization to write V48 in simplest form.
What is Prime Factorization?In number theory, the breakdown of a composite number into a sum of smaller integers is known as integer factorization.
The procedure is known as prime factorization if these factors are further limited to prime numbers.
The technique of expressing all numbers as the product of primes is known as prime factorization.
So, let's take something like the number 20 as an example.
It can be divided into two components.
"Well, that's 4 times 5," we can respond.
Observe that 5 is a prime number. The number 4 is not a prime.
So, it is necessary to write 48 as the product of its prime elements:
2 * 3 * 2 * 2 * 2
Then,
√48 = √(2 * 2 * 2 * 2 * 2)
Lower radical form: √48
Hence, (C) could be the correct option.
Therefore, (C) 48 = V2 -2 -2 -2 - 3 = 4√3 correctly uses prime factorization to write V48 in simplest form.
Know more about Prime Factorization here:
https://brainly.com/question/18187355
#SPJ1
Correct question:
Which calculation correctly uses prime factorization to write V48 in simplest form?
A. 48 = V2 -2 -2 -2 - 3 = 2V12
B. 48 = 14 - 12 = 2/12
C. 48 = V2 -2 -2 -2 - 3 = 4V3
D. V48 = 16 - 3 = 4V3
In a right triangle, a and b are the lengths of the legs and c is the length of the hypotenuse. If a=2.7 yards and b=1.6 yards, what is c? If necessary, round to the nearest tenth.
Answer:
[tex]\huge\boxed{\sf c = 3.1\ yards}[/tex]
Step-by-step explanation:
Given that,a = 2.7 yards
b = 1.6 yards
c = hypotenuse
Using Pythagoran Theorem:
[tex]c^2=a^2+b^2[/tex]
Put the given data.c² = (2.7)² + (1.6)²
c² = 7.29 + 2.56
c² = 9.85
Take square root on both sidesc = √9.85
c = 3.1 yards[tex]\rule[225]{225}{2}[/tex]
Vrite a cubic equation in standard form whose graph passes thr
1, 0), (2, 0), (0, -8), and (4, 0).
The cubic equation is given by A = x³ - 7x² + 14x - 8
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
The coordinates of the points are A ( 1 , 0 ) , B ( 2 , 0 ) , C ( 0 , -8 ) , D ( 4 , 0 )
Now , the equation will be
f ( x ) = a ( x - 1 ) ( x - 2 ) ( x - 4 )
So , when x = 0 , the value of y = -8
-8 = a ( -1 ) ( -2 ) ( -4 )
-8 = a ( -8 )
8a = 8
Divide by 8 on both sides of the equation , we get
a = 1
Substitute the value of a in the equation , we get
f ( x ) = ( x - 1 ) ( x - 2 ) ( x - 4 )
f ( x ) = x³ - 7x² + 14x - 8
Hence , the equation is f ( x ) = x³ - 7x² + 14x - 8
To learn more about equations click :
https://brainly.com/question/19297665
#SPJ9
5 In a game that you are playing, your friend says that she has -6 points "give or take" 4 points. You currently have -3 points in the game. Can you say who is winning? Why or why not? Use a number line to explain.
Based on the information provided, it's not possible to say who is winning without knowing the specific game and how points are scored and awarded.
How to explain the informationThe statement "has -6 points give or take 4 points" doesn't provide a specific range of points that your friend could have, so we can't use this information to determine a winner.
Additionally, using a number line to compare two points of -3 and -6 is not helpful in determining who is winning in the game because it only shows their relative values, not the actual rules of the game and how points are scored.
It would be best to ask the friend to clarify their score and the rules of the game to determine who is winning.
Learn more about number line on:
https://brainly.com/question/24644930
#SPJ1
Chapter 4 Lesson 3 Solving System of Equations Using Elimination
The solutions for the system of equations: 7x - 4y = -12 and x - 2y = 4, x - y = 4 and 2x + y = 5, 4x - 3y = 17 and 2x - 5y = 5, 5x + 6y = -6 and 7x - 3y = -54
by elimination are respectively:
x = -4, y = -4
x = 3, y = -1
x = 5, y = 1
x = -6, y = 4
How to evaluate for the solutions of the equations by eliminationwe shall write the equations as:
7x - 4y = -12...(1)
x - 2y = 4...(2)
multiply equation (2) by 7 to get equation (3)
7x - 14y = 28...(3)
subtract equation (1) from (3) to eliminate x
7x - 14y - 7x + 4y = 28 + 12
-10y = 40
divide through by -10
y = -4
put the value -4 for y in equation (2) to get y
x - 2(-4) = 4
x + 8= 4
x = -4
x - y = 4...(1)
2x + y = 5...(2)
Add equations (1) and (2) to eliminate y
2x + y + x - y = 5 + 4
3x = 9
divide through by 3
x = 3
put the value 3 for x in equation (1) to get y
3 - y = 4
y = -1
4x - 3y = 17...(1)
2x - 5y = 5...(2)
multiply equation (2) by 2 to get equation (3)
4x - 10y = 10...(3)
subtract equation (3) from (1) to eliminate x
4x - 3y - 4x - 10y = 17 - 10
7y = 7
divide through by 7
y = 1
put the value 1 for y in equation (2) to get y
2x - 5(1) = 5
2x - 5 = 5
x = 5
5x + 6y = -6...(1)
7x - 3y = -54...(2)
multiply equation (1) by 7 to get equation (3) and equation (2) by 5 to get equation (4)
35x + 42y = -42...(3)
35x - 15y = -270...(4)
subtract equation (4) from (3) to eliminate x
35x + 42y - 35x + 15y = -42 + 270
57y = 228
divide through by 57
y = 4
put the value for y in equation (1) to get x
5x - 6(4) = -6
5x + 24 = -6
x = -6
Therefore, the solutions for the system of equations: 7x - 4y = -12 and x - 2y = 4, x - y = 4 and 2x + y = 5, 4x - 3y = 17 and 2x - 5y = 5, 5x + 6y = -6 and 7x - 3y = -54
by elimination are:
x = -4, y = -4
x = 3, y = -1
x = 5, y = 1
x = -6, y = 4
Know more about elimination here:https://brainly.com/question/28405823
#SPJ1
QUESTION 11
Which classification best represents a triangle with side lengths 48 in., 56 in., and 83 in.?
O A. acute, because 832> 48² +56²
O B. acute, because 832 < 48² +56²
OC. obtuse, because 832> 48² +56²
O D. obtuse, because 832 < 482 +56²
h
The triangle with side lengths of 48 in., 56 in., and 83 in. is obtuse, because 832> 48² +56²
What is triangle?A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted \triangle ABC. In Euclidean geometry, any three points, when non-collinear, determine a unique triangle and simultaneously, a unique plane.
here, we have,
The side lengths of the triangles are 48 in., 56 in., and 83 in
The smallest side lengths are: 48 in., 56 in
The sum of the squares of these side lengths is
48^2+ 56^2
For the triangle to be obtuse, then the following must be true
83^2> 48² +56²
Evaluate the exponents
6889> 5440
The above inequality is true.
Hence, the triangle is obtuse, because 83^2> 48² +56²
Read more about triangles here;
brainly.com/question/17972372
#SPJ9
36
30
60
33°
(3x-3)
60
Answer:
please give the complete question..
Step-by-step explanation:
please give the complete question..
Solve the given differential equation by using an appropriate substitution. The de is a bernoulli equation. X dy dx + y = 1 y2.
The Bernoulli equation of given differential equation Xdydx + y = 1y² is ln (1 - x/y - x) = c
Any equation with one or more derivates and one or more terms of the dependent variable with respect to the independent variable is referred to as a differential equation (i.e., independent variable) dy/dx = f(x) (x)
-1/y = u
y¹/y² = u¹
xy¹ - (1 + x)y = xy²
now take the y² on other side,
xy¹/y² - (1 + x)/y = c
now replace the values by u¹,
xu¹ + (1 + x)u = x
xu¹ + u + ux = x
xu = s ....[1]
Substitute the value of xu as s
u + xu¹ = s¹
s¹ + s = v
s - x = t
s¹ - 1 = t¹
t¹ + 1 + t = 0
Now take the integration of both the sides,
dt/dx = - ( 1 + t)
-∫ dt/1+t = ∫dx
-ln ( 1+ t ) = x + c
now ,put the value of t,
-in ( 1 + s - x ) = x + c
now put the value of s,
-ln ( 1 + xu - x ) = x + c
-ln ( 1 - x/y - x) = c.
Learn more about bernoulli equation here :-
https://brainly.com/question/9506577
#SPJ4
i need help on this i would appreciate you soo much!!
Answer:
2(-3x+2)^2 -1
Step-by-step explanation:
so first you would find that f(g(x)) = f(-3x+2)
next plug in
f(-3x+2) = 2x^2-1
to every x
f(-3x+2) = 2(-3x+2)^2-1
Lee biked 11 1/4 miles in 3/4 of an hour. What is Lees biking speed?
Answer: First find your given information:
D=6 miles (3 miles there + 3 miles back)
T=1 hour
Vwind= 3 mph
We're going to assume that the wind's velocity is always in opposite direction to Mr. Lee so:
VFinal = VMr. Lee - Vwind
We also know that VFinal=D/T
So D/T = VMr. Lee - Vwind
Rearrange to get VMr. Lee = D/T + Vwind
Plug in your given info to get VMr. Lee = (6 miles)/(1 hours) + 4 mph or 10 mph
Tno wind= D/VMr. Lee or (6 miles/10 mph)
Tno wind=0.6 hours
Step-by-step explanation:
Answer:
15 mphStep-by-step explanation:
3 3/4 + 11 1/4 = 15
1/3 of 11 1/4 is 3.75 or 3 3/4. I added 3 3/4 to 11 1/4, and checked my answer, which was 15, by dividing it by four.
I know its confusing sorry, I hope you understand ^^
What is the value of 1 gallon in litre?
One gallon is a unit of volume that is equivalent to 3.785 liters. This means that one gallon is equal to 3.785 liters.
The gallon is an imperial unit of measurement, which means that it is not used in most countries outside of the United States and the United Kingdom. In the US customary system, the gallon is divided into four quarts, each of which is equal to two pints. One US gallon is equivalent to approximately 0.83 imperial gallons, which are used in the UK.The gallon originated in medieval England as a measure for ale and other alcoholic beverages. It was adopted by the Romans during their invasion of Britain, and the term "gallon" is derived from the Latin term "galleta," which means "a pailful." The gallon was standardized in the 18th century by the British Imperial System.In the United States, the gallon is used in both the customary and imperial systems. In the customary system, the gallon is equal to 128 fluid ounces, while in the imperial system, it is equal to 160 fluid ounces. The US liquid gallon is divided into four quarts, which is equivalent to eight pints. One US dry gallon is equal to 4.4 liters.
Learn more about gallon here:
https://brainly.com/question/20292522
#SPJ4
Angie is working on solving the exponential equation 23x = 6; however, she is not quite sure where to start. Using complete sentences, describe to angie how to solve this equation.
To solve the exponential equation 23^x = 6, take the logarithm base 23 of both sides to get x = log base 23 of 6.
Angie, to solve the exponential equation 23^x = 6, you need to find the value of x such that when you raise 23 to the power of x, you get 6. To do this, you can use logarithms.
In particular, you can use the logarithmic function log_23. The log_23 of a number y is the exponent x such that 23^x = y. So, to solve the equation 23^x = 6, you can take the log_23 of both sides:
log_23(23^x) = log_23(6)
x = log_23(6)
The right side of this equation can be evaluated using a calculator or logarithmic tables. Once you have the value of x, you will have solved the exponential equation.
To know more on exponential equation
https://brainly.com/question/29506679
#SPJ4
Determine if the expression − � + 3 � 5 − � 2 −a+3a 5 −a 2 is a polynomial or not. If it is a polynomial, state the type and degree of the polynomial.
No, the expression − + 3 × 5 − 2 −a+3a 5 −a 2 is not a polynomial.
What is expression?In mathematics, an expression is a combination of numbers, symbols and operations such as addition, subtraction, multiplication and division that may be evaluated to produce a single number, a variable or a set of numbers. Expressions can be complex, and often appear in the form of equations or formulas. Examples of expressions include equations, polynomials, functions, matrices and more.
A polynomial is an expression that is a sum of one or more terms, each of which is the product of a constant and a non-negative integer power of a variable. In the expression given, the exponent of the variable a is negative, which does not meet the criteria to be considered a polynomial.
To know more about expression click-
https://brainly.com/question/1859113
#SPJ1
What is the difference between AIC and BIC penalty?
The difference between AIC and BIC penalty lies in their approach to model selection.
AIC (Akaike Information Criterion) is a measure of the goodness of fit of a statistical model. It is used to compare different models and select the one that fits the data best. AIC is based on the principle of maximum likelihood, which means it is more focused on finding the model that fits the data best.
On the other hand, BIC (Bayesian Information Criterion) is a criterion for model selection based on the Bayesian approach. It is also used to compare different models, but it takes into account the complexity of the model. BIC tends to favor simpler models, and it is more focused on finding the model that is most likely to be true given the data.
In summary, AIC is more focused on finding the model that fits the data best, while BIC is more focused on finding the model that is most likely to be true given the data.
To know more about Akaike Information Criterion click on below link:
https://brainly.com/question/22238859#
#SPJ11
Why Eulerian path can be implemented in linear time, but not Hamiltonian path?
Eulerian path can be implemented in linear time because it follows a specific rule: a connected graph can have an Eulerian path if and only if it has either zero or two vertices of odd degree.
This means that the algorithm can quickly determine whether or not a graph has an Eulerian path by simply counting the number of odd degree vertices. This can be done in linear time, making the implementation of Eulerian path efficient and fast.
On the other hand, Hamiltonian path does not follow a specific rule, and there is no known efficient algorithm to determine whether or not a graph has a Hamiltonian path.
This means that the implementation of Hamiltonian path requires checking all possible paths in the graph, which can take a long time and is not efficient. Therefore, Hamiltonian path cannot be implemented in linear time like Eulerian path can.
To know more about Eulerian path click on below link:
https://brainly.com/question/27979322#
#SPJ11
If Nathan distributes all of the hot sauce equally among the 7 bottles, how much will be in each bottle?
The required amount of sauce in each bottle is given by fraction 5/7. Option B is correct.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
Sum the total amount of sauce in the 7 bottles present at each booth,
Total sauce = 0 × 2 + 1/2×1 + 1×3 + 1 1/2 × 1
= 1/2 + 3 + 3/2
= 2 + 3 = 5
Now, the ratio of the total sauce to the total number of bottles will give the amount of sauce in each bottle.
So,
= 5/7
Thus, the required amount of sauce in each bottle is given by fraction 5/7.
Learn more about simplification here:
https://brainly.com/question/12501526
#SPJ1
The sides of a triangle are 60, 68, and 32. Use the Pythagorean Theorem to determine if the triangle is right, acute, or obtuse.
What is the value of 36celsius in fahrenheit?
The temperature conversion from Celsius to Fahrenheit is calculated using the following formula: Fahrenheit = (Celsius x 1.8) + 32. Increasing the Celsius temperature by 1 degree will result in an increase of 1.8 degrees Fahrenheit.
To convert a temperature of 36 degrees Celsius to Fahrenheit, we first multiply 36 by 1.8 to get 64.8, then add 32 to that result to get 96.8 degrees Fahrenheit. In other words, 36 degrees Celsius is equal to 96.8 degrees Fahrenheit. To better understand this conversion, it helps to remember that 0 degrees Celsius is equivalent to 32 degrees Fahrenheit. The two scales are offset by 32 degrees, meaning that for every degree Celsius, the equivalent Fahrenheit temperature is 1.8 degrees higher. For example, 10 degrees Celsius is equivalent to 50 degrees Fahrenheit (10 x 1.8 = 18 + 32 = 50). Thus, increasing the Celsius temperature by 1 degree will result in an increase of 1.8 degrees Fahrenheit.
Learn more about degrees here:
https://brainly.com/question/28162756
#SPJ4
13. Taxpayers with an office in their home may deduct a percentage of their home-related expenses. This percentage is based on the ratio of the office's area to the area of the home. A taxpayer with a 2400 square-foot home maintains a 20-foot by 19 foot office If the yearly electricity bills for the home come to $4800 how much of this is deductible?
How much money is deductible from the bill? (simplfy your answer)
Based on the ratio of the office's area to the area of the home, the deductible amount is $760.
What is the ratio?The ratio refers to the relative quantity of one value contained in another.
Generally, ratios are depicted as fractions, decimals, or percentages.
Total home area = 2400 ft²
Office area =380 ft² (20 x 19)
The ratio of office to home area = 380/2400
The percentage of office use of the home-related expense = 15.83% (380/2400 x 100)
The Electricity bill for the year = $4,800
The deductible amount for office use = $760 ($4,800 x 380/2400) or ($4,800 x 15.83%)
Learn more about ratios at https://brainly.com/question/12024093.
#SPJ1
A hot-air balloon has a 14
-foot diameter that is being deflated at a rate of 0.25
feet per minute.
How many minutes, x
, will it take before the balloon has shrunk to a diameter of 8
feet?
Answer:
Step-by-step explanation:
The rate of deflation of the hot-air balloon is 0.25 feet per minute. Let's represent the diameter of the balloon at any time t in minutes as D(t).
We know that D(0) = 14 feet (initial diameter) and we want to find x when D(x) = 8 feet.
Using the fact that the rate of change of D with respect to time is -0.25 (negative because the diameter is decreasing), we can set up a differential equation:
dD/dt = -0.25
Separating variables and integrating, we get:
∫(1/D) dD = ∫(-0.25) dt
ln|D| = -0.25t + C
where C is the constant of integration.
Using the initial condition D(0) = 14, we get:
ln|14| = C
C = ln(14)
Substituting this value of C into the equation, we get:
ln|D| = -0.25t + ln(14)
Taking the exponential of both sides, we get:
|D| = e^(-0.25t + ln(14)) = e^ln(14) e^(-0.25t) = 14 e^(-0.25t)
Since we are only interested in the positive value of D, we can drop the absolute value sign:
D = 14 e^(-0.25t)
Now we can solve for x by setting D = 8:
8 = 14 e^(-0.25x)
Dividing both sides by 14, we get:
e^(-0.25x) = 8/14 = 4/7
Taking the natural logarithm of both sides, we get:
ln(e^(-0.25x)) = ln(4/7)
-0.25x = ln(4/7)
x = -4 ln(4/7) / 0.25
x ≈ 6.21
Therefore, it will take about 6.21 minutes for the balloon to shrink to a diameter of 8 feet.
The figure is cut into 6 equal pieces. Shade 2/3 of the figure.
Solving Right Triangles:
Find the side indicated by the variable. Round to the nearest tenth.
Answer:
Step-by-step explanation
It seems like you are to use trig functions to find the missing sides.
soh - cah - toa
Sin(what degree angle you have) = opposite of the angle over the hypotenuse
cosine (what degree angle you have) = adjacent (side that is next to angle that isn't hypotenuse) over hypotenuse
tangent (what degree angle you have) = opposite side from angle over adjacent side to angle
for number 1:
sine59 = d/ 37
cross multiply
sin59 multiplied by 37 which equals 31.7
so this means d is 31.7
use the trig functions to find the rest. it is just a pattern and SOH-CAH-TOA will help.
lmk if you have questions
Use decomposition to find the area of the figure.
A drawing of a right-angled trapezoid with length of two parallel sides measuring 10 yards and 13 yards. The height of the trapezoid is 8 yards.
The area is
square yards.6th grade
The area of given trapezoid is 92 square yards.
What is area of the trapezoid?The area of a trapezoid can be calculated if the length of its parallel sides and the distance (height) between them is given. The formula for the area of a trapezoid is expressed as, A = ½ (a+b)×h.
where (A) is the area of a trapezoid, 'a' and 'b' are the bases (parallel sides), and 'h' is the height (the perpendicular distance between a and b).
Given that, a right-angled trapezoid with length of two parallel sides measuring 10 yards and 13 yards.
The height of the trapezoid is 8 yards.
Here, area = 1/2 (10+13)×8
= 23×4
= 92
Therefore, the area is 92 square yards.
Learn more about the area of trapezoid here:
https://brainly.com/question/12221769.
#SPJ9
Please hurry, I need an answer asap, I will give brainiest
Solve the following system of equations using elimination. Show all of your work and explain your steps. 3x - y = 6 x + 4y = 6
The solution to the system of equations is given as follows:
x = 2.31, y = 0.93.
How to solve the system of equations?The system of equations for this problem is defined as follows:
3x - y = 6.x + 4y = 6.To solve by elimination, we first multiply the first equation by 4, and then add the first equation with the second, hence:
12x - 4y = 24.x + 4y = 6.Hence the solution for x is given as follows:
13x = 30
x = 30/13
x = 2.31.
Then the solution for y is of:
y = 3x - 6
y = 3(2.31) - 6
y = 0.93.
More can be learned about a system of equations at https://brainly.com/question/30862958
#SPJ1
Use the expression you wrote in problem 5 to find the
number of centimeters in 9 meters.
The number of centimeters in 9 meters is 900.
What is metric conversion?Metric Conversion refers to the conversion of the given units to desired units for any quantity to be measured.
Given that, the measure is 9 meters.
We know that, 1 meter = 100 centimeters
Now, 9 meters
= 9×100
= 900 centimeters
Therefore, the number of centimeters in 9 meters is 900.
To learn more about the metric conversion visit:
brainly.com/question/21244256.
#SPJ9
What is the value of the next term in the following sequence
1, 5, 25, 125, 625 . . .
What is the median of these numbers?
56, 65, 77, 81, 92
If needed, round your answer to the nearest tenth.
Answer:
74.2
Step-by-step explanation:
Median is another word for average amount.
So if you add the numbers 56, 65, 77, 81, and 92 you would end up with 371.
To get an average, or the median, you take the numbers, add them together, then divide the answer by how ever many numbers you had.
In this case, you had 5, so
56+65+77+81+92=371
then divide by 5 so
371/5=74.2
How do you find the end behavior of a polynomial?
The end behavior of this the end behavior of this polynomial is positive, meaning that as x approaches positive and negative infinity, the y values approach positive infinity.
The end behavior of a polynomial can be determined by looking at the degree (highest exponent) and the leading coefficient (coefficient of the highest degree term). If the degree is even and the leading coefficient is positive, the end behavior of the polynomial is positive, meaning that as x approaches positive and negative infinity, the y values approach positive infinity. Similarly, if the degree is even and the leading coefficient is negative, the end behavior of the polynomial is negative, meaning that as x approaches positive and negative infinity, the y values approach negative infinity. If the degree is odd and the leading coefficient is positive, the end behavior of the polynomial is positive, and if the degree is odd and the leading coefficient is negative, the end behavior of the polynomial is negative.For example, consider a polynomial of degree 5, f(x) = 3x5 + 2x4 - 3x2 + 4. The leading coefficient is 3, which is positive, and the degree is 5, which is odd. Therefore, the end behavior of this polynomial is positive, meaning that as x approaches positive and negative infinity, the y values approach positive infinity. This can be verified by using the formula: End Behavior = Leading Coefficient x ∞limitx→±∞ End Behavior = 3 x ∞limitx→±∞ End Behavior = +∞.
Learn more about polynomial here:
https://brainly.com/question/28936357
#SPJ4
a quarter pound hamburger counts as how many servings
A quarter pound hamburger is counted as one servings which is four ounces.
A pound is usually a unit which is used to measure the weight of a body. It is known as one pound is approximately equal to 454 grams. One kilogram is roughly the same as equal to 2.2 lbs. There are 16 ounces in one pound which is mentioned.
This question can be solved due to the rule of proportions.
A pound is an imperial unit of mass or weight measure, it is abbreviated as lb, lbm and one pound is considered to be equal to 0.4535 kilograms.
Learn more about rule of ounces:
brainly.com/question/3428511
#SPJ4