The degree of the given polynomial is 2 because the highest exponent is 2 present in terms 2x^2 or 5y^2.
First, try to understand what is polynomial.
Algebraic expressions called polynomials include coefficients and variables. Indeterminates are another name for variables. For polynomial expressions, we can do mathematical operations like addition, subtraction, multiplication, and positive integer exponents but not division by variables. x^2+ 3x - 5 is an illustration of a polynomial with a single variable. There are three terms in this example: x^2, 3x, and -5.
The word "polynomial" is derived from the Greek words "poly" and "nominal," which combined translate to "many phrases."
Now let's talk about the degree of the polynomial.
The highest exponent of a monomial contained within a polynomial is referred to as the polynomial's degree. As a result, a polynomial equation with one variable having the biggest exponent is referred to as a polynomial degree.
The terms of a given polynomial is 2x^2, 3xy, 5y^2, and 2 Highest exponent is 2 in 2x^2 or 5y^2.
So the degree of the polynomial is 2.
The given Question is an incomplete complete question here.
[tex]2x^2 + 3xy + 5y^2 +2[/tex].
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Write an equation in point-slope form of a line that has a slope of 2/3 and
passes through the point (9,5).*
Answer:
y= 2/3x -1
Step-by-step explanation:
Ok so basically we want to put it in the form y=mx+b where m is 2/3 and passes through the point (9,5). So sub in the x and y of the point in brackets into the equation. 5= 2/3(9) + b and solve for b so b = -1. Therefore the equation is y=2/3x -1
Two angles are supplementary if they add up to ?
Answer:
180 degrees
Step-by-step explanation:
Answer:
Two angles are called supplementary when their measures add up to 180 degrees.
Step-by-step explanation:
Hence, any two angles can be supplementary, if their sum equal to 180°.
...
Difference between Complementary and Supplementary Angles.
Complementary Angles: Supplementary Angles:
Sum of two angles is 90° Sum of two angles is 180°
A local health club offers two membership plans. Under Plan A, you pa
flat rate of $201 a month and you get unlimited visits. Under Plan B, yo
pay only $33 per month, but must pay $8 for each visit to the club. At
what number of visits will both plans be the same?
The plans cost the same if you visit
times.
Therefore , the solution of the given problem of linear equation comes out to be the plan will be equal at 21 visits.
A linear equation is precisely what?The algebraic equation y=mx+b stands in for a linear equation. The slope is m, and B is the y-intercept. The last phrase referred to a "simple formula with two elements" where both y and x are variables. Bivariate linear equations are calculations involving two variables. Here are a few examples: The outcomes are 2x - 3 = 0; 2y = 8; m + 1 = 0; x/2 = 3; x + y = 2; and 3x - y + z = 3. If the answer to a mathematical equation is in the form y=mx+b, where m denotes the slope and b the y-intercept, the equation is said to be linear.
Here,
Given :
Case 1: flat rate of $201 a month and you get unlimited visits.
and
Case 2:pay only $33 per month, but must pay $8 for each visit to the club.
Thus,
To find at what number of visits both plan be equal is
Let x be the number of visit,
We get,
Case 1: 201
Case 2: 33 + 8x
For equlaity:
=>33+ 8x =201
=>8x =168
=> x =168/8
=> x =21
Therefore , the solution of the given problem of linear equation comes out to be the plan will be equal at 21 visits.
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enter an internet value that could be used in each of the blanks below to make the polynomial factorable
Please help
Solve the rational equation: 1/x+1 - 1/x+2 = 1/5
A. There is no solution.
B. x = −0.64, x = 1.44
C. x = −3.79, x = 0.79
D. x = −1, x = −2
The solution for the rational equation (1/(x + 1)) - (1/(x + 2)) = 1/5 is specified by the option C.
C. x = -3.79, x = 0.79
What is a rational equation?A rational equation consists of a fraction that has a polynomial numerator denominator.
The specified equation can be expressed as follows;
[tex]\dfrac{1}{x + 1} - \dfrac{1}{x+2} = \dfrac{1}{5}[/tex]
Finding the common denominator for the right hand side expression, we get;
[tex]\dfrac{ (x + 2) - (x + 1)}{(x + 1) \times (x + 2)} = \dfrac{1}{5}[/tex]
[tex]\dfrac{1}{(x + 1) \times (x + 2)} = \dfrac{1}{5}[/tex]
[tex]\dfrac{1}{x^2+ 3\cdot x+ 2} = \dfrac{1}{5}[/tex]
Inverting both sides of the above equation, we get the following quadratic equation;
x² + 3·x + 2 = 5
x² + 3·x + 2 - 5 = 0
x² + 3·x - 3 = 0
The quadratic formula indicates that we get;
x = (-3 ± √(3² - 4×1×(-3))) ÷ (2 × 1)
x = (-3 + √(21)) ÷ 2 and x = (-3 - √(21)) ÷ 2
x ≈ 0.79 and x ≈ -3.79
The correct option is option C
C. x = -3.79, x = 0.79
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The data set below has 7 values. Find the mean absolute deviation for the data set. If necessary, round your answer to the nearest hundredth. 13,14,15,6,17,16,3
Given:
The data set is 13, 14, 15, 6, 17, 16, 3.
To find:
The mean absolute deviation for the data set.
Solution:
We have,
13, 14, 15, 6, 17, 16, 3
Mean of the data set is:
[tex]\text{Mean}=\dfrac{\text{Sum of all observations}}{\text{Number of observations}}[/tex]
[tex]\overline{x}=\dfrac{13+14+15+6+17+16+3}{7}[/tex]
[tex]\overline{x}=\dfrac{84}{7}[/tex]
[tex]\overline{x}=12[/tex]
The formula for mean absolute deviation is:
[tex]MAD=\dfrac{\sum_{i=1}^n|x_i-\overline{x}|}{n}[/tex]
Using this formula, the mean absolute deviation for the data set is:
[tex]MAD=\dfrac{|13-12|+|14-12|+|15-12|+|6-12|+|17-12|+|16-12|+|3-12|}{7}[/tex]
[tex]MAD=\dfrac{1+2+3+6+5+4+9}{7}[/tex]
[tex]MAD=\dfrac{30}{7}[/tex]
[tex]MAD\approx 4.29[/tex]
Therefore, the mean absolute deviation for the data set is about 4.29.
On a very cold morning, it was -8°F. As the day went on, the temperature ros
degrees each hour. Which equation shows the temperature over time?
A tunnel is cylindrical. The tunnel is 400 m long with radius 2.3 m.
What is the capacity of the tunnel? Give the answer is liters. [Hint: 1 m3 = 1000 L]
Answer:
6647.6 liters
Step-by-step explanation:
The volume of a cylinder with end area r and length (or height) h is
V = πr²h
If we substitute 2.3 m for r and 400 m for h, we get:
V = π(2.3 m)²(400 m) = 6647.6 m³ or 6647.6 liters
(PLS HELP, URGENT, IT'S DUE IN 12 MINUTES!!!!)
Kara can run 3 miles in 25.5 minutes. At this rate, how long would it take her to run 2 miles? Diana's answer: If I subtract 1 mile from 3 miles, I get 2 miles, so if I subtract 1 minute from 25.5 minutes, I get 24.5 minutes. Kara takes 24.5 minutes to run 2 miles. Is Diana's answer correct? Explain pls!
Answer:25.5 divided by 3= answer I think
Step-by-step explanation:
Plz solve number 20 for me…. I NEED ASAP HELP plz… WOULD BE GREAT
help me plsss its due tonight!!!
What is (f + g)(x)?
f(x) = -3x² + 3
g(x) = −3x
Answer:
Step-by-step explanation:
(f.g)(x)=[tex]-3*(-3x)^{2}+3=-27x^{2}+3[/tex]
HELLPPP PLSSS
100÷10+3-100+ (6+ 19)+ 3 × -5 -19+100
Answer:
4
Step-by-step explanation:
I used a Calculater
Swaggerty
1. Rose and Andrew are financing $128,000 to purchase a condominium. They obtained a 15-year, fixed-rate loan with a rate of 5. 5%. They have been given the option of purchasing up to four
points to lower their rate to 4. 81%. How much will the four points cost them?
For the given principal and two different rate of interest for the 15 years of time period the cost of four points is given by $26786.2.
As given in the question,
Principal amount 'P' = $128,000
Time 't' = 15 years
Rate of interest 'r' = 5.5%
= 0.055
Total amount 'A' received is given by the formula :
A = P ( 1 + r/100 )^n
= 128,000 ( 1 + 5.5 / 100 )^15
= $285756.99
Now when the rate of interest is changed to
Rate of interest 'r' = 4.81%
= 0.0481
Total amount 'A' received is given by the formula :
A = P ( 1 + r/100 )^n
= 128,000 ( 1 + 4.81 / 100 )^15
= $258970.79
Now, the cost of four points is given by:
= $( 285756.99 - 258970.79 )
= $ 26786.2
Therefore, for the given principal amount with two different rate of interest for the time period of 15 years the cost of four points is equal to $26786.2.
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Nathan sells 10 cups of lemonade for $1.00 each. It cost him $0.25 to make
each cup. Which expression represents Nathan's profit?
Answer:
Maybe 2500 i dont know i forgot
Step-by-step explanation:
Please help asap thank you
Find the probability that a point choseb at randon the figure will lie in the shaded region. Write your anser as a percentage rounding to the nearest hundreth in percentage form
=======================================================
Explanation:
Let's find the area of one of the circles
A = pi*r^2
A = pi*10^2
A = 100pi
One circle is exactly 100pi square meters in area.
Four of the circles then combine to a total area of 4*100pi = 400pi square meters.
The distance along the bottom of the square is equal to two diameters, each diameter being 2r = 2*10 = 20 meters. So the distance along the bottom of the square is 2*20 = 40 meters. The square has an area of 40^2 = 1600 square meters.
The shaded region would therefore have an exact area of 1600-400pi square meters.
This approximates to 1600-400pi = 343.362938564082
Divide this over the area of the square to get the probability we want to find:
343.362938564082/1600 = 0.21460183660256
That's roughly 0.2146, which converts to 21.46%
Answer:
21.5%
Step-by-step explanation:
Find the area of the square, which is 40² or 1600 sq m
Find the area of one circle, multiply it by 4, then subtract that from 1600
A = 100(3.14) = 314
314 x 4 = 1256
1600 - 1256 = 344
Probability of landing in the shaded region is 344/1600 = 21.5%
what is the next term in this sequence of cube numbers?
1,8,27,64...
Answer: 125
Step-by-step explanation:
The first term is 1³. The second term is 2³. The third term is 3³. And the Fourth term is 4³.
So the pattern is n term = n³
plug in 5
= 5³
= 125
PLease help I have to finish by 4:00
Answer:
You mean 4/5?
Step-by-step explanation:
(2x+5y)(3x-7y)-2xy simplify only
Answer:
6x^2+xy-35y^2-2x
Step-by-step explanation:
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Problema de capacidades Una empresa aceitera ha envasado 3000 litros de aceite en 1200 botellas de dos y de cinco litros. ¿Cuántas botellas de cada clase se han utilizado?
Answer:
Hay 200 botellas de 5 litros y 1000 botellas de 2 litros.
Step-by-step explanation:
Un sistema de ecuaciones lineales es un conjunto de dos o más ecuaciones de primer grado, en el cual se relacionan dos o más incógnitas.
Resolver un sistema de ecuaciones consiste en encontrar el valor de cada incógnita para que se cumplan todas las ecuaciones del sistema.
En este caso, las variables a calcular son:
x= cantidad de botellas de 2 litros.y= cantidad de botellas de 5 litros.Una empresa aceitera ha envasado 3000 litros de aceite en 1200 botellas de dos y de cinco litros. Entonces es posible plantear el siguiente sistema de ecuaciones:
[tex]\left \{ {{2*x+5*y=3000} \atop {x+y=1200}} \right.[/tex]
Existen varios métodos para resolver un sistema de ecuaciones. Resolviendo por el método de sustitución, que consiste en despejar o aislar una de las incógnitas y sustituir su expresión en la otra ecuación, despejas x de la segunda ecuación:
x= 1200 - y
Sustituyendo la expresión en la primer ecuación:
2*(1200 - y) + 5*y=3000
Resolviendo se obtiene:
2*1200 - 2*y + 5*y= 3000
2400 +3*y= 3000
3*y= 3000 - 2400
3*y= 600
y= 600÷3
y= 200
Reemplazando en la expresión x= 1200 - y:
x= 1200 - y
x=1200 -200
x= 1000
Hay 200 botellas de 5 litros y 1000 botellas de 2 litros.
Please help me in these
Answer:
11) 20%
12)40
13)19
14)216
15)25%
16) 50
17) 986
18)220%
19)40
20)100%
Step-by-step explanation:
with percentages it is part divided by the whole times 100 so an example would be 73 divided by 365 times 100
Answer:
11) 20%
12) 40
13) 19
14) 216
15) 25%
16) 50
17) 986
18) 220%
19) 40
20) 100%
Here's a fat rat in a hat
What number multiple by 7/9 has the product of 1?
Answer: In mathematics, the reciprocal of a number is 1 divided by that number. So the reciprocal of 7/9 is 1/(7/9) which can be simplified to 9/7.
Therefore, 9/7 is the number that when multiplied by 7/9 will result in the product of 1.
Another way of arriving at the same solution is to remember that the product of a number and its reciprocal is always 1. In this case, the number is 7/9, and its reciprocal is 9/7.
Step-by-step explanation:
Evaluate x^2 +xyz if x=3, y=5, and z=4
Answer:
6 + 354 I THINK
Step-by-step explanation:
Answer:
9+354 = 363
Step-by-step explanation:
x = 3 so 3 to the power of 2 = 9 and (xyz = 354) so 9 + 354 = 363
0.7 times square root of 300
The value of the expression 0.7 x √300 is 12.124.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
0.7 x √300
This can be written as,
= 0.7 x √3 x √100
= 0.7 x 1.732 x 10
= 12.124
Thus,
The value is 12.124.
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The area of a circle is 100 pie. What is the radius?
A 25
B) 10
C 50
D) 5
Answer:
50 (hope this helps, have a good day)
Step-by-step explanation:
just divide The area divided by 2
The ages of four children are 14, 12, 15, and 17
Work out the range of the ages of the four
children.
Step-by-step explanation: 12 - 14 is 2 years
14 - 15 is 1 year
15 - 17 is 3 years
I would say the rang is 1 -3 years apart
Hope this helps any
Solve for X please and thank you :)
x<-3
Hope this helped! :T
HELP DUE IN 15 MINS!
The diagonals of a rectangle are perpendicular.
True
False
trust me the answer is false :)
Answer:
No they are not, false
Step-by-step explanation:
We know that if the diagonals are perpendicular then they cut at 90 degrees but in rectangles, the diagonals dont cut at 90 degrees. Hence the statement is false.
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One bottle holds 67.34 onces and another bottle holds 48.5 onces combined how much do they hold?
After combine they hold 115.84 ounces.
What is Addition?A process of combining or adding two or more numbers is called addition.
We have to given that;
One bottle holds 67.34 ounces and another bottle holds 48.5 ounces.
So, After combine, we get;
Both bottle hold = 67.34 ounces + 48.5 ounces
= 115.84 ounces
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