x²+√2x+3 and x²+√2x+6 are expressions that are not polynomial. (Option a and Option b)
What is polynomial expression?An expression that consists of variables, constants, and exponents that is combined using mathematical operations like addition, subtraction, multiplication, and division is referred to as a polynomial (No division operation by a variable).
A polynomial function is one that uses only non-negative integer powers or positive number coefficients of such a variables in such an expression like the quadratic function, cubic equation, and so on.
For the algebraic expression to be called a polynomial, the exponents in the algebraic expression should be non-negative integers. Also if an algebraic expression has a radical in it then it can not be called a polynomial.
a) x²+√2x+3. This expression is not a polynomial as the polynomial expression does not contain any radicals. √2 here is a radical root.
⇒ Hence, option a is not a polynomial expression.
b) x²+√2x+6.This expression is also not a polynomial expression as it has a radical √2 present in the expression.
⇒ Hence, option b is not a polynomial expression.
c) x³+3x²-3. This expression can be termed as a polynomial expression since all of the variables have positive integer exponents.
⇒ Hence, option c is a polynomial expression.
d) 6x+4. This expression is also a polynomial expression as all of the variables have positive integer exponents.
⇒ Hence option d is a polynomial expression.
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find the value of x and y. show your steps for 2 equations
The values of x and y are x= 24 and y=25
What are transversal lines ?
In geometry, a transversal is any line that intersects two straight lines at distinct points
3y and 75 are alternate interior angles that are equal
3y=75
=> y=75/3 = 25 degrees
4x+9 and 3y add up to 180 degrees
4x+9 + 3y = 180
=> 4x+9 + 3(25) = 180
=> 4x+9 +75 = 180
=> 4x+ 84 = 180
=> 4x = 180 -84 = 96
=> x= 96/4 = 24
The values of x and y are x= 24 and y=25
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Please, help me. The question is in the screenshot.
The slope of the line y = 1/2 x - 3 is equal to 1/2.
What is the slope-intercept form?Mathematically, the slope-intercept form of a line can be calculated by using this equation:
y = mx + c
Where:
m represents the slope.x and y are the data points.c represents the y-intercept.Next, we would use an online graphing calculator to plot the given equation in slope-intercept form. By critically observing the graph (see attachment), we can logically deduce that the y-intercept is equal to -3 while the slope's line is equal to 1/2.
In conclusion, the linear function does not represent a proportional relationship because the line didn't pass through the origin (0, 0).
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you buy a car for 12,000. you take out a loan for the entire amount of the car at 3.5% interest for 3 years. how much did you pay total for the car
The total amount paid for the car is $13,200.00.
What is the accrued amount paid for the car?The simple interest formula is expressed as;
A = P( 1 + rt )
Where A is accrued amount, P is principal, r is interest rate and t is time.
Given the data in the question;
Principal P = $12,000Elapsed time t = 3 yearsInterest rate r = 3.5%Accrued amount A = ?Convert the interest rate to decimal
Rate r = 3.5%
Rate r = 3.5/100
Rate r = 0.035
Plug the given values into the above formula and solve for accrued amount A.
A = P( 1 + rt )
A = $12,000( 1 + (0.035 × 3) )
A = $12,000( 1 + 0.105 )
A = $12,000( 1.105 )
A = $13,200.00
Therefore, the accrued amount is $13,200.00.
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What is the best approximation for the area of this circle?
Use 3.14 to approximate pi.
Responses
18.8 ft²
18.8 ft²
37.7 ft²
37.7 ft²
75.4 ft²
75.4 ft²
113.0 ft²
The best approximation of the area of a circle with a radius of 5 ft is 75.4 ft².
What is area?Area is a quantity that expresses the size of a two-dimensional figure or shape, or planar lamina, in the plane. It can be thought of as the amount of surface that the shape covers. Calculating the area of a shape or surface can be an important step in many mathematical problems. There are several methods for calculating area, including the use of geometric formulas and equations, as well as using tools such as a ruler or calculator.
This is calculated using the formula A=πr², where π is 3.14 and the radius is 5 ft. Thus, A=3.14 x 5² = 75.4 ft².
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estimate the value of the limit to five decimal places. lim_(x->0) (1+x)^(1\/x)
Answer:
[tex]e\approx2.71828[/tex]
Step-by-step explanation:
I assume you mean [tex]\lim_{x \to 0} (1+x)^{\frac{1}{x}}[/tex], which is just the definition of the constant [tex]e[/tex], also known as Euler's Number.
The ratio of paper bags to hard bags is 6 to 2 if there are 192 bucks how many are paper bags
Answer:
The ratio of paper bags to hard bags is 6:2, which can also be written as 6/2 = 3/1. This means that for every 3 units of paper bags, there is 1 unit of hand bags.
If there are 192 bags in total, and the ratio of paper bags to hard bags is 3:1, then there must be 3 + 1 = 4 parts in total. We can find the number of bags in each part by dividing the total number of bags by the number of parts: 192 bags / 4 parts = 48 bags/part.
Since there are 3 parts of paper bags for every 1 part of hard bags, there must be 3 * 48 bags/part = 144 paper bags. Answer: {144}.
Step-by-step explanation:
1 Estimate the sum or difference by rounding each number to the nearest tens.
(a) 426+926
(B) 739-437
Using the concept of rounding off and with the numerical values provided, The answer is 1350 and 300 rounding to nearest tens.
What do you mean by rounding off?Rounding off refers to the process of approximating a number to a nearby value that has a certain number of significant digits or decimal places. For example, rounding the number 3.14159 to two decimal places would give 3.14, and rounding the number 12345 to the nearest thousand would give 12000. Rounding is often used in situations where precise measurements are not necessary or when the precision of a calculation is limited by the available resources.
What is a real number?A real number is a value that can represent a quantity along a continuous number line, such as integers and fractions. Real numbers include both rational numbers, which can be expressed as the ratio of two integers (such as 3/4), and irrational numbers, which cannot be expressed as the ratio of two integers (such as the square root of 2). Real numbers can be positive or negative, and they can be expressed in decimal form or in fractional form.
426+926 = 1352
round to nearest tens, 1350
739-437 = 302
round to nearest tens, 300
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Solve by substitution
X=y
3x+y=-32
To determine the value of an expression, substitution entails substituting numbers for letters.
Why does substitution means?In an algebraic statement, substitution refers to substituting the variables' (variables') letters with their numerical values. After that, we may calculate the expression's overall value.
To determine the value of an expression, substitution entails substituting numbers for letters.
Steps for the Replacement Method
By extending the parenthesis, make the above equation simpler.X or Y must be accounted for in one of the equations.The other equation should be changed to reflect the step 2 solution.Utilizing simple arithmetic processes, solve the new equation that was obtained.x plus 3x equal to 32
4x equal to 32
xequal to 8
Therefore, the answer is -8.
The complete question is:
System of equations using substitution.
y=3x
x+y=-32
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The required solution of the given equation is x = y = -8.
What is substitution method?The replacement strategy is the arithmetical technique to tackle synchronous straight conditions. As the word says, in this strategy, the worth of one variable from one condition is subbed in the other condition.
According to question:We have,
x = y
And 3x + y = -32
Then
3x + x = -32
4x = -32x
x = -8 = y
Thus, solution of equation x = y = -8.
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Which function forms an arithmetic sequence when x = 1, 2, 3,. ? f (x) = 16 minus 4 x f (x) = 8 (2) superscript x f (x) = startfraction x squared over 5 endfraction f (x) = startfraction 4 over x endfraction minus 2.
Answer:
The function f(x)= 16-4x forms an arithmetic sequence when x=1,2,3,...
Step-by-step explanation:
An arithmetic sequence is a sequence of numbers such that the difference between any two consecutive terms is always the same.
The function f(x) = 16 - 4x forms an arithmetic sequence when x = 1, 2, 3, ...
When x = 1, f(x) = 16 - 4(1) = 12
when x = 2, f(x) = 16 - 4(2) = 8
when x = 3, f(x) = 16 - 4(3) = 4
As you can see, the difference between any two consecutive terms is 4, which is the same for all terms, therefore the function f(x) = 16 - 4x forms an arithmetic sequence when x = 1, 2, 3, ...
On the other hand, the function f(x) = 8 (2)^x increases exponentially, so the values obtained would be not part of an arithmetic sequence. The function f(x) = x^2/5 has no common difference between the consecutive terms, so it is not an arithmetic sequence. The function f(x) = 4/x -2 is not an arithmetic sequence either, due to the division of 4 by x and the subtraction of 2.
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In a lab experiment, the decay of a radioactive isotope is being observed. At the beginning of the first day of the experiment the mass of the substance was 1200 grams and mass was decreasing by 10% per day. Determine the mass of the radioactive sample at the beginning of the 19th day of the experiment. Round to the nearest tenth (if necessary).
Answer:
180.1 g
Step-by-step explanation:
You want to know the mass of a radioactive isotope on the 19th day if it was 1200 g on the first day and decreased 10% per day.
Exponential decayThe form of the equation for exponential decay is ...
m(t) = a·b^(t-n)
where m is the remaining mass, 'a' is the amount on day n, and 'b' is the growth factor, equal to 1 plus the growth rate.
ApplicationHere, we have a=1200 g on day n=1, and the growth rate is -10%, so ...
b = 1 -0.10 = 0.90
That means ...
m(t) = 1200·(0.90^(t -1))
On day 19, the beginning amount is ...
m(19) = 1200·0.90^18 ≈ 180.1 . . . . grams
The mass of the sample at the beginning of day 19 is 180.1 grams.
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Which method is used to find complex roots of polynomial?
The most common method for finding complex roots of polynomials is the use of the Durand-Kerner Method. This method is based on the Newton-Raphson Method and takes advantage of the fact that complex numbers can be represented by a pair of real numbers.
1. Initialize a set of initial guesses for the roots of the polynomial.
2. Calculate the value of the polynomial at each of the initial guesses.
3. Calculate the derivative of the polynomial at each of the initial guesses.4. Calculate the new root value by subtracting the value of the polynomial at the current guess divided by the derivative of the polynomial at the current guess.
5. Repeat steps 3 and 4 until the values of the roots converge.
6. The final set of roots is the answer.
The most common method for finding complex roots of polynomials is the use of the Durand-Kerner Method. This method is based on the Newton-Raphson Method and takes advantage of the fact that complex numbers can be represented by a pair of real numbers.
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Simplify the following expression
3 x squared plus 2 y squared minus x squared plus 4 x minus 5 y squared minus 4 y
This is the simplified form of the expression.
2x^2 + 4x - 9y^2 - 4y
Simplifying:
3x^2 + 2y^2 - x^2 + 4x - 5y^2 - 4y
The process of simplifying an expression involves combining like terms and eliminating any unnecessary terms. In the given expression, we have multiple terms that have the same variable and exponent, these are called like terms. Like terms can be combined by adding or subtracting their coefficients.
In this case, we have 3x^2 and -x^2, the x^2 terms have the same exponent and variable so they can be added together by combining their coefficients (3-1) = 2x^2.
3x^2 - x^2 + 4x - 5y^2 - 4y + 2y^2
Similarly, we have -5y^2 and 2y^2, the y^2 terms have the same exponent and variable so they can be added together by combining their coefficients (-5+2) = -3y^2.
The x terms and y terms are separated and not interacting with each other, so we can't combine them. Finally, we have -4y and 4x, they are not like terms and can't be combined.
So, we have 2x^2 + 4x - 3y^2 - 4y as the simplified form of the expression.
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Express the perimeter of an equalateral triangle with sides 11x-2 in terms of x: show work pls
Perimeter in terms of x:_________
The perimeter of an equilateral triangle with sides (11x - 2) will be;
⇒ (33x - 6)
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
The side of equilateral triangle = (11x - 2)
Now,
Since, The side of equilateral triangle = (11x - 2)
We know that,
⇒ The perimeter of equilateral triangle = 3 × Side
Thus, We get;
⇒ The perimeter of equilateral triangle = 3 × Side
= 3 × (11x - 2)
= (33x - 6)
Thus, The perimeter of equilateral triangle = (33x - 6)
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Which of the following is a factor of x 2 − 6 x − 16?
A. X-2
B. X-8
C. X+8
D. X-6
Therefore , the solution of quadratic equation comes out to be the provided expression's factor is x-8.
Quadratic equations defination.Regression modeling for one-variable equations uses the polynomial result x = ax2 + b + c=0. Given that this polynomial has a second order, the First Thesis of Algebra states that there is only one solution. It is possible to find both simple and sophisticated solutions. Four variables make up a "quadratic formula," as the name suggests. This implies that there may only be one squared word. In the equation "ax2 + bx + c = 0," which is widely employed to solve arithmetic problems, the three mathematical variables a, b, and c are frequently used to depict the unknown variable "X."
Here,
x²+6x+16 is the algebraic expression provided.
The following identity can be used to factorize this:
(x+a)(x+b)=x²+(a+b)x+ab
We must therefore first identify the elements of 16.
8×2=4×4=16
That is obvious as 8-2=6.
So, as indicated, we divided the statement.
=>x²+2x−8x−16
=>x(x+2)−8(x+2)
=>(x+2)(x−8)
In light of this, the provided expression's factor is x-8.
Therefore , the solution of quadratic equation comes out to be the provided expression's factor is x-8.
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A bag contains 3 red marbles, 7 blue marbles and 4 green marbles. If
three marbles are drawn out of the bag, what is the probability, to the
nearest 10th of a percent, that all three marbles drawn will be blue?
Answer:
Submit Answer
PERSP
DIDY
attempt 2 out of 2
Answer:
15%
Step-by-step explanation:
The chance to get a blue marble at the start is 7/14 which is 50%
If you take out a blue marble, it becomes 6/14, then 5/14
5x6x7÷14=15 15%
Dwayne and Mark ordered a pepperoni pizza that was cut into 12 slices. Dwayne ate half of
the pizza and Mark ate of the pizza. How many slices of pizza were left after they were
done eating?
Answer:
0 slice of pizza
Step-by-step explanation:
Total no of slice is 12
Dwayne ate half (6 slice) and
Mark ate half (6 slice)
12 -6 -6 = 0
Given that there were 12 slices of pizza, if Dwayne ate half (6 slices) and Mark ate a quarter (3 slices) for example, there would be 3 slices left. However, the question doesn't specify how much pizza Mark ate.
Explanation:This question involves a concept in Mathematics known as fractions. Dwayne and Mark ordered a pepperoni pizza that was cut into 12 slices. If Dwayne ate half of the pizza, he ate 12/2 slices, which equals 6 slices. Since the question does not specify how much pizza Mark ate, we cannot provide the exact number of slices left. However, if for example, Mark ate 1/4 of the pizza, he would have eaten 12/4 slices, which equals 3 slices. Therefore, the number of slices that were left after both of them finished eating, in this example, would be 12 - (6+3) = 3 slices remaining.
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there are 30 students in a class. A hexagonal table can seat 6 kids. How many hexagonal tables do we need to seat all students?
Answer: 5 tables
Step-by-step explanation:30/6=5
You would need 5 hexagonal tables
HELP ASAP!!!!
A sequence is shown below.
8.0, 6.5, 5.0, 3.5, . . .
In the recursive formula for the sequence, if an=−4.0 , what is the value of an+1 ?
The value of the sequence aₙ₊₁ is -5.5
How to determine the value of the sequenceThe definition of the sequence is given as
8.0, 6.5, 5.0, 3.5, . . .
The above definitions imply that we simply subtract 1.5 from the previous term to get the current term
Using the above as a guide,
So, we have the following representation
aₙ₊₁ = aₙ - 1.5
From the question, we have
aₙ = -4.0
Substitute the known values in the above equation, so, we have the following representation
aₙ₊₁ = -4.0 - 1.5
Evaluate
aₙ₊₁ = -5.5
Hence, the value of aₙ₊₁ is -5.5
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Select the correct answer.
What is this expression in simplest form?
Answer: D. x+2/x^3+2
Step-by-step explanation:
x2+x−2/x3−x2+2x−2
x2+x−2/x3−x2+2x−2
(x−1)(x+2)/(x−1)(x2+2)
x+2/x2+2
Please help!! 10 points!!
The unknown value of the given expression is 750.
What is an expression?One mathematical expression makes up a term. It might be a single variable (a letter), a single number (positive or negative), or a number of variables multiplied but never added or subtracted. Variables in certain words have a number in front of them. A coefficient is the number used before a phrase.
Given:
Let x represents the square.
And y and z represent the triangle and star, respectively.
So, from the diagram we have,
x + 3y + z = 51 ....(1)
12x + 5z = 234 .....(2)
8x -6x + 3x = 60
That means,
x = 12
So, from the equation (2),
144 + 5z = 234
z = 18
Then y = 7.
Now, the required diagram in the equation form,
z(y+z-x) + x(y + z + z) = n
Substituting, the value of x, y and z,
n = 234 + 516
n = 750
Therefore, the unknown value is 750.
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solve this following equation
Answer:
D. x > -2 and x ≤ 1
Step-by-step explanation:
-5 < 4x + 3 ≤ 7
-8 < 4x ≤ 4
-2 < x ≤ 1
x > -2 and x ≤ 1
a train travels 380 miles in 5 hours 15 minutes. fine it’s average speed
Answer:
speed=distance/time
v= m/s
we will convert the hours to seconds
1 hour= 3600 secs
5hours =x secs
we cross multiply ❌
5 × 3600 = 18,000
converting minutes to seconds
60 minutes make one hour
so 60 × 15 = 900
18000+900= 18,900
380/18900= 0.02 ans
a carpenter has an AB wooden plank lengthening 252cm. He divides it into four parts by inserting the points C, D and E in such a way that: CD=3*AC, DE=2*CD, EB=4*AC. Calculate the measure of each of the four parts of the axis
The value of each part is AC = 18 cm, CD = 54 cm, DE = 108 cm, and
EB = 72 cm. This can be solved using the concept of mathematical operators.
What are mathematical operators?A collection of numbers and operations is an expression in mathematics. The following are the parts of a math expression that do a math operation:
Operands: Operands are the numbers that an operation uses. The terms that are given to the operands vary according to the kind of operation.
Operator: An operator is the symbol that denotes a math operation, such as: division, addition, subtraction, and multiplication.
Given that,
length of wooden plank AB is 252 cm
divides it into four parts by inserting the points C, D and E
parts of plank are AC, CD, DE, EB
CD = 3AC,
DE = 2CD, and
DE = 2(3AC)
DE = 6AC
EB = 4AC
AB = AC + CD + DE + EB
substitute the values we get,
AB = AC + 3AC + 6AC + 4AC
252 = 14AC
AC = 252/14 = 18cm
CD = 3AC = 3(18) = 54 cm
DE = 6AC = 6(18) = 108 cm
EB = 4AC = 4(18) = 72 cm
Hence length of each part is AC = 18 cm, CD = 54 cm, DE = 108 cm, and
EB = 72 cm.
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HELP ASAP please
50 points!!!!
14. The value of 15 - 3.2 + 2(0.5) is 12.8
15. The value of -3/4 + (3/4 - 4/5) is - 4/5.
16. The value of -2(2 3/4) + (-2)(-1/4) is -5.
17. The value of -2(4.6 - 3.5) is -2.2
How to explain the expression?An expression is simply used to show the relationship between the variables that are provided or the data given regarding an information. in this case, it is vital to note that they have at least two terms which have to be related by through an operator
The value of 15 - 3.2 + 2(0.5) is:
= 15 - 3.2 + 1
= 12.8
The value of -3/4 + (3/4 - 4/5) is:
= -3/4 + 4 - 4/5
= - 4/5.
1The value of -2(2 3/4) + (-2)(-1/4) is:
= -5 1/2 + 1/2
= -5.
The value of -2(4.6 - 3.5) is:
= -2(1.1)
= -2.2
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hellpppp. meeeee plesse
The measures of the missing angles for m<1, m<2, m<3, m<4, and m<5 are 35°, 145°, 55°, 125°, and 55°, respectively.
How do you find the measure of missing angles?[tex]$m \angle 1=$[/tex] 35°
[tex]$m \angle 2=$[/tex] 180° - 35° = 145°
[tex]$m \angle 3=$[/tex] 90° - 35° = 55°
[tex]$m \angle 4=$[/tex]180° - ∠5 = 180° - ∠3 = 180° - 55° = 125°
[tex]$m \angle 5=$[/tex]∠3 = 55°
When we have two sides and the angle between them, we have "SAS." Calculate the unknown side using the Law of Cosines, then find the lesser of the other two angles using the Law of Sines, and finally find the final angle by adding the three angles together to make 180 degrees.
The law of sines states that the ratio of a triangle's side length to the sine of its opposing angle is constant. Given enough data, it is possible to use the law of sines to determine the unknown angles and sides of a triangle. The law of sines states that the ratio of a triangle's side length to the sine of its opposing angle is constant.
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How many times does 5 go into 2.5
Answer:
.5
Step-by-step explanation:
2.5/5
Answer:1/2 of a time
Step-by-step explanation:
Find the value of x that makes A | | B.
42 = 2x + 10 and 24 = 4x + 80
X = [ ? ]
By solving a linear equation, we will see that lines are parallel only if x = 15.
What is the value of x that makes the lines parallel?
Ok, so we know that:
∠2 = 2x + 10∠4 = 4x + 80Notice that angle 2 is on the third quadrant of the intersection at the top, and angle 4 is on the second quadrant of the intersection below.
The two lines will be parallel only if these two angles are supplementary, this means that the measures add up to 180°.
Then we need to solve this linear equation:
2x + 10 + 4x + 80 = 180
Now we can solve that for x.
2x + 4x + 10 + 80 = 180
6x + 90 = 180
6x = 180 - 90
6x = 90
x = 90/6 = 15
So the lines A and B are parallel if and only if x = 15.
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Determine which three out of the six points shown below are a solution to the equation 2x+y=6. Plot the three points that are in the solution set, draw a line through the three points and then answer the questions below.
Three out of the six points shown that is a solution to the equation 2x+y=6 is (1,-6), (-1,8), and (5, -4).
Define graph.In mathematics, a graph is a visual representation or diagram that shows facts or values in an ordered way. The graph's points often show the relationship between two or more things.
Define plotting.By employing X and Y coordinates, a point is plotted on a coordinate plane.
If the equation 2x+y=6 is plotted on a graph along with the points (1,-6), (7,-3), (3,-5), (-1,8), (3,0), and (5,-4), the equation will be solved. Afterward, it can be seen that the line's connecting points are (1,-6), (-1,8), and (5, -4).
As a result, the graph's points are (1,-6), (-1,8), and (5, -4).
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Is buffy or Bonnie correct?
Reason:
The equation is t = 1.5p
The input p leads to the output t.
p = number of penst = total costThe domain only cares about the input. It's the set of allowed inputs. Since p refers to a number of something, we can only work with whole numbers {0,1,2,3,4,...} which is why Bonnie is correct.
Unfortunately Buffy is incorrect because something like p = 2.7 isn't allowed in the domain. It's a real number, but not a whole number. It doesn't make sense to have a fractional or decimal amount of pens.
PLEASE ANSWER QUICKLY !!
Jake says that there should be a decimal point in the quotient 142.45 ÷ 7.4 = 1,925 after the 2.
Part A
Which equation shows the best estimate for the quotient?
150 ÷ 10 = 15
150 ÷ 5 = 30
140 ÷ 10 = 14
140 ÷ 7 = 20
Part B
Explain whether Jake is correct.
Enter 1, 2, 5, 9, is, or is not in the lines below. Answer choices can be used once, more than once, or not at all.
Jake ____ correct because 192.5 ____ close to the estimate. The decimal point belongs after the _____ .
An equation that shows the best estimate for the quotient include the following: D. 140 ÷ 7 = 20.
Jake is not correct because 192.5 is not close to the estimate. The decimal point belongs after the 9.
What is a quotient?In Mathematics, a quotient simply refers to a mathematical expression that is typically used for the representation of the division of a number by another number.
Based on Jake's calculations, we can logically deduce that he forgot to place the decimal point in the following expression;
142.45 ÷ 7.4 = 1,925
Next, we would determine the maximum value of this quotient;
142.45 ÷ 7.4 = 140/7
142.45 ÷ 7.4 = 20
Therefore, the whole number part for the given decimal number would be nineteen (19) and as such, the decimal point must be placed immediately after 9 as follows;
142.45 ÷ 7.4 = 19.25
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