The difference between the two polynomials (9x²+8x) - (2x²+3x) is:
7x² + 5x.
Polynomial:
A polynomial is a type of algebraic expression where the exponents of all variables must be integers. The exponent of each polynomial variable must be a non-negative integer. A polynomial consists of a constant and a variable, but you cannot divide a polynomial by a variable.
Example: Express the polynomial 5 + 2x + x2 in standard form.
To express the above polynomial in standard form, first check the degree of the polynomial.
The degree of the given polynomial is two. Write an expression involving the degree of the polynomial.
There is a term with variable exponent less than 2, i.e.1, then write it down.
Finally, we write a term with the variable exponent 0 as the constant term.
According to the Question:
Given polynomials is:
(9x²+8x) - (2x²+3x)
First, multiply the negative sign in the second polynomial
i.e., (9x²+8x) - (2x²+3x)
= 9x²+8x - 2x²-3x
Now, evaluate those terms who have same variables
= 9x² - 2x² +8x-3x
= 7x² + 5x
Hence, the difference between polynomials are: 7x² + 5x.
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If the radius of a circle is x cm, what is the measure of its circumference? write.
Answer:
2 pie over r
Step-by-step explanation:
Step-by-step explanation:
the circumference is given by:
[tex]2\pi(radius)[/tex]
in this case x is the radius hence the circumference would be:
[tex]2\pi(x)[/tex]
hope this helps :)
the cube root parent function is reflected and stretched by four. it is translated six to the right and five down. write an equation that represents this new function
The equation for new function is,
⇒ f (x) = ∛( 1/4x - 6) - 5
What is Function?A relation between a set of inputs having one output each is called a function.
Given that;
The parent function is,
⇒ g (x) = ∛x
Now, After reflected and stretched by 4, we get;
⇒ g (x) = f (1/4x) = ∛ 1/4x
And, After translated 6 units to the right, we get;
⇒ g (x) = f (x - 6) = ∛ 1/4x - 6
And, After 5 unit down, we get;
⇒ g (x) = h (x) - 5 = ∛( 1/4x - 6) - 5
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Which system of equations is represented by the graph?
one parabola opening upwards and one parabola opening downwards intersecting at points (3, 9) and (-3, 9)
y = x2 + 3x
y = –x2 + x + 18
y = x2
y = –x2 +18
y = x2
y = x2 + 18
y = x2
y = –x2 – x – 18
Answer:
Blue: y = x²
Red: y = -x² + 18
Step-by-step explanation:
The blue parabola opens upwards, therefore the term in x² is positive.
The red parabola opens downwards, therefore the term in x² is negative.
The x-value of the vertices of both parabolas is x = 0.
Therefore, the equations of both parabolas will not have a term in x.
The y-intercept of the blue parabola is also the y-value its vertex: y = 0.
The y-intercept of the red parabola is also the y-value its vertex: y = 18.
Therefore, the equation for each parabola is:
Blue: y = x²Red: y = -x² + 18To check, substitute x = ±3 into both equations:
Blue
[tex]x=3 \implies y=(3)^2=9[/tex]
[tex]x=-3 \implies y=(-3)^2=9[/tex]
Red
[tex]x=3 \implies y=-(3)^2+18=9[/tex]
[tex]x=-3 \implies y=-(-3)^2+18=9[/tex]
Answer:
y = x2
y = –x2 +18
Step-by-step explanation:
I got it right on the test.
please help: find TZ
find the area of the shape shown below 911 please help ASAP
Answer:
Hello! answer: 32
Hppe this helps!
If you know the answer to this question please help!! ASAP I will give brainiest! Fr
the public school enrollment of a city is 13,500. Enrollment is declining at a rate of 4.5% per year. predict the enrollment in 5 years.
Answer:
In five years, the enrollment would have been 10,724 students
Step-by-step explanation:
The general depreciation formula is given as;
P = I( 1 - r)^t
where P is the present population
I is the initial
r is the rate of depreciation = 4.5% = 4.5/100 = 0.045
t is 5 years
substituting these values;
P = 13,500 (1- 0.045)^5
P = 10,723.84
explain what the slope and intercept mean in each situation the amount of money y in a cash box after x tickets are purchased for carnival games. The slope of the line is 1/4 and the y intercept is 8
Answer:
The (1/4) slope is the prive per ticket. The y intercept is the money in the cash box before any tickets were sold.
Step-by-step explanation:
Let y be the money and x the numbers of tickets sold, as requested. We are told that the equation for this situation is:
y = (1/4)x + 8
Let's assume the money is in units of dollars. The slope of (1/4) would mean that each carnival game ticket cost $(1/4), or 25 cents. The y-intercept is the value of y when x=0, which means zero tickets have been sold. That means that the cash box had $8 before any sales were made. [perhaps to use for making change].
What is the slope of a line that is perpendicular to the line y = 1/5x + 2?
Step-by-step explanation:
It is in the form y=mx+c
so m1 = 1/5
Now the slope of the line perpendicular to the line Having slope m1 = 1/5 (m2)=?
when it is perpendicular, slope is given by
m1 x m2 = -1
1/5 x m2 = -1
m2 = -5
I don't know what to do, help
Describe what moves you could use to create the transformation of the original image shown below.
original
The required transformations of the original image are the first translation of 7 units to the right side, then a reflection across the x-axis.
What is a transformation?A point is transformed when it is moved from where it was originally to a new location. Translation, rotation, reflection, and dilation are examples of different transformations.
The triangle is given in the represented graph, which vertices are as follows :
(-5, -1)
(-2, -1)
(-5, -3)
The image after a translation of 7 units to the right side will be given a triangle the vertices are as follows :
(-5 + 7, -1) → (2, -1)
(-2 + 7, -1) → (5, -1)
(-5 + 7, -3) →(2, -3)
Then the image after a reflection across the x-axis will be a triangle the vertices are as follows :
(2, -1) → (2, 1)
(5, -1) → (5, 1)
(2, -3) → (2, 3)
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PLEASE HURRY 100 POINTZ PLUS BRAINLIEST
Select the true statement that describes a right triangular prism.
A right triangular prism contains curved surfaces.
A right triangular prism contains rectangular faces.
A right triangular prism contains rectangular bases.
A right triangular prism contains one apex.
Answer:
A right triangular prism contains rectangular faces.
Step-by-step explanation:
Answer:
(C) A right triangular prism contains rectangular faces.
Step-by-step explanation:
hope this helps <3
Please help I have a learning disability
Determine whether the two expressions are equivalent. If so, tell what property is applied. If not, explain why.
72 - (63 - 8) and (72 - 63) - 8
yes, it uses the Identity Property
yes, it uses the Associative Property
yes, it uses the Commutative Property
No they are not equivalent. The first expression equals 17 and the second equals 1.
Answer: yes, it uses the Associative Property
Step-by-step explanation:
What is the interquartile range?
Answer:
40
Step-by-step explanation:
subtract q3 - q1
Are infinite languages undecidable?
Therefore ,A language being infinitive is consequently required but not sufficient for undecidability, according to the solution to the provided problem of infinite.
Define infinitive.The ideas of zero and infinity are related, although evidently, zero is not the same as infinity. Instead, if N/Z set exists, and N is any positive number, the quotient grows indefinitely as Z approaches 0. Therefore, it is obvious that N / 0 is limit- less.
Here,
Regular languages are all finite languages. Some of the infinite languages are common. Only infinite languages have an undecidability limit.
There must be specific language strings that cause the TM to fail for the language to be undecidable. In fact, such strings must exist indefinitely (otherwise, the poorly behaved ones could be handled by special-case logic).
Thus, undecidability requires an is infinite language but does not prove it.
Therefore ,A language being infinitive is consequently required but not sufficient for undecidability, according to the solution to the provided problem of infinite.
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Write an equation of the line that passes through (3,-4) and is perpendicular to y=1/2x+7.
Which table of values represents a linear function?
Answer: A
Step-by-step explanation:
This is because the scale factor is 1.25 so this means that any number you do ex 12 then multiply that by 1.25 it equals the next number in the table, in this case 15. So A is the table that represents a linear function.
Find FL - will mark brainliest
Answer:
7
Step-by-step explanation:
Answer:
FL = 8.4
Step-by-step explanation:
To solve this question you need to use proportions.
6/10 = x/14
Cross multiply:
6*14 = 84
84/10 = 8.4
I DONT WANT TO GO TO SUMMER SHCOOL
PLEASE IF YOU HAVE ANY KNOWLEDGE OF THIS TEACH ME BC MY TEACHER DIDN'T TEACH ME ANYTHING
Answer:
Yes, both are radii.
Step-by-step explanation:
Assume S lies in the center of the circle. If so, when drawing a line from S to Y, it can be counted as half a diameter, or a radii. Same goes for line ST.
Jump to level 1
Housing prices in a small town are normally distributed with a mean of
$142,000 and a standard deviation of $7. 0. Use the empirical rule to
complete the following statement.
Approximately 95% of housing prices are between a low price of
$ Ex: 5000 and a high price of $
Modul Three Assignment Gui.
4. 2. Normal distribution - Goog.
By standard deviation, 68% housing price are between a low price of $135000 and a high price of $149000.
What is standard deviation in math?
The variability in your dataset is measured by its standard deviation. It reveals the average deviation between each result and the mean.
A low standard deviation denotes that values are grouped close to the mean, whereas a large standard deviation shows that values are often far from the mean.
Given,
mean (μ) = 142000
standard deviation (σ ) = 7000
By using empirial rule,
P( μ - σ ≤ X ≤ μ + σ ) ≈ 68%
Then,
P(142000 - 7000 ≤ x ≤ 142000 + 7000 ) ≅ 68%
P( 135000 ≤ x ≤ 149000 ) ≅ 68%
68% housing price are between a low price of $135000 and a high price of $149000.
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PRETTY PLZZZZZZZZZZZZZZZZZZZZZZZZZZ
Answer:
The third one in.
Step-by-step explanation:
its going to end up being 54 ≤ x
and since 54 is included, you want a filled in circle to show that.
Answer:
C. less than or equal too if it's a closed circle
hope this helps
have a good day :)
Step-by-step explanation:
If B=3x-1 and C=2x^2+x+9, find an expression that equals 2B+2C in standard form.
Answer:
[tex]4x^2 +8x + 16[/tex]
Step-by-step explanation:
2 (3x - 1) + 2 (2x^2 + x + 9)
6x - 2 + 4x^2 +2x + 18
4x^2 + 8x +16
The value of the equation is A = 2B + 2C = 4x² + 8x + 16
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 B is
B = 3x - 1 be equation (1)
And , the value of C is
C = 2x² + x + 9 be equation (2)
The value of 2B = 2 ( 3x - 1 )
2B = 6x - 2 be equation (3)
The value of 2C = 2 ( 2x² + x + 9 )
2C = 4x² + 2x + 18
Now , the equation will be
A = 2B + 2C
A = 6x - 2 + 4x² + 2x + 18
On simplifying the equation , we get
A = 4x² + 8x + 16
Therefore , the value of A is 4x² + 8x + 16
Hence , the equation is A = 4x² + 8x + 16
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Kate loves to read. She wants to read all 70 books in her bookcase and has already finished 2. Write an equation to represent the time it will take for Kate to read all 70 books if she can read 3 books per month.
Answer:
simply do 70 divided by 12, then that divided by 3, in total it should take 1, 2, or 3 hours to read 3 books a month
Step-by-step explanation:
what is the equation of a line passing through the origin and (3a, 5g)
The equation of line passes through the points (0, 0) and (3a, 5g) will be;
⇒ y = (5g/3a) x
What is Equation of line?The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
Two points on the line are (0, 0) and (3a, 5g).
Now,
Since, The equation of line passes through the points (0, 0) and (3a, 5g).
So, We need to find the slope of the line.
Hence, Slope of the line is,
m = (y₂ - y₁) / (x₂ - x₁)
m = (5g - 0) / (3a - 0)
m = 5g / 3a
Thus, The equation of line with slope 5g/3a is,
⇒ y - 0 = 5g/3a (x - 0)
⇒ y = (5g/3a) x
Therefore, The equation of line passes through the points (0, 0) and
(3a, 5g) will be;
⇒ y = (5g/3a) x
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Solving inequalities
3/5 * p ≤ 6
Answer:
p ≤ 10
Step-by-step explanation:
3/5 * p ≤ 6
Multiply each side by 5/3
5/3 *3/5 * p ≤ 6* 5/3
p ≤ 10
Answer:
p< 10
Step-by-step explanation:
See the image below:)
At a certain zoo, the average mass of one cow is measured to be 410410 kilograms. Use scientific notation to express the mass of 6060 cows
The scientific notation to express the mass of 60 cows is 2.46 × 10⁴ kg. It is determined after multiplying the mass of one cow by the number of cows.
What is scientific notation?Scientific notation is a way of expressing very small or very large numbers in a simpler form.
In scientific notation, the number is written as
a.b × 10ⁿ
Where
1 ≤ a < 10n is an integerIf the mass of one cow is 410 kg, find the mass of 60 cows in scientific notation!
The mass of 60 cows would be
= number of cows × mass of one cow
= 60 × 410 kg
= 24,600 kg
In scientific notation, it is
24,600 kg = 2.46 × 10,000
24,600 kg = 2.46 × 10⁴ kg
Hence, the mass of 60 cows in scientific notation is 2.46 × 10⁴ kg.
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Find the measure of the missing angles.
Answer:
a = 33 degrees
Step-by-step explanation:
Note that 57 degrees and Angle a are complementary: they add up to 90 degrees.
Thus, a = 90 degrees less 57 degrees = 33 degrees
What is the x-intercept of the graph of y x2 − 4x 4?
The x-intercept for the graph of y is found to be at x = 2.
Define the term x-intercept?The points where such a line crosses an axis are known as the x-intercept and the y-intercept, respectively.The graph's intersection with the x-axis is known as the x-intercept.Therefore, the y coordinate would be zero at that time.The quadratic equation given is
y = x² - 4x + 4
Put y = 0
0 = x² - 4x + 4
It becomes perfect square for (x - 2).
It can be written as;
(x - 2)² = 0
Take square root on the both sides
x - 2 = 0
x = 2
Thus, the x-intercept for the graph of y is found to be at x = 2.
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The correct question is-
What is the x-intercept of the graph of y = x² - 4x + 4?
What are the coefficients of the equation 3x 6y 13 *?
In the equation [tex]3x-6y=-13[/tex] , the coefficient of equation are , coefficient of [tex]x[/tex] is [tex]3[/tex] and the coefficient of [tex]y[/tex] is [tex]-6[/tex] .
What are Coefficients ?
The Coefficients are defined as a number that is placed with a variable. It is a integer that is multiplied by the variable and written next to it.
In simpler words, we can say that ; a coefficient is a multiplicative factor in the terms of a polynomial, a series, or any expression.
The variables that do not have a number written with them are assumed to have 1 as their coefficient.
For example, in the expression [tex]3x[/tex] , the coefficient of [tex]x[/tex] is [tex]3[/tex] , but in the expression [tex]x^{2} +3[/tex], [tex]1[/tex] is the coefficient of [tex]x^{2}[/tex].
The equation to find the coefficient is given as [tex]3x-6y=-13[/tex] ,
we see that , the numerical part with [tex]x[/tex] is [tex]3[/tex] and with [tex]y[/tex] is [tex]-6[/tex] ;
Therefore , the coefficient of [tex]x[/tex] is [tex]3[/tex] and [tex]y[/tex] is [tex]-6[/tex] .
The given question is incomplete , the complete question is
What are the coefficients of the equation 3x -6y = - 13 ?
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....................
Answer:
=98m^2
Step-by-step explanation:
11×4=44
9×6=54
44+54=98
=98m^2
Whiw do you graph y=3x-2