The multiplicity of the function is 1 for each term after factorization.
What is polynomial?Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order.
[tex]\rm a_1x+a_2x^2+a_3x^3+a_4x^4..........a_nx^n[/tex]
We have a polynomial function:
[tex]\rm F(x)= 4x^3+19x^2-41x+9[/tex]
After factorization:
[tex]\rm F(x) = \left(4x-1\right)\left(x^2+5x-9\right)=0[/tex]
[tex]\rm F(x) =(4x-1)^1(\:x-\frac{-5+\sqrt{61}}{2})^1(\:x+\frac{-5-\sqrt{61}}{2})^1[/tex]
The multiplicity of the function is 1 for each term.
Thus, the multiplicity of the function is 1 for each term after factorization.
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Kylee is playing a game she has to receive more than 20 points average of five games to move onto the next level which inequality represents the situation is T represents the total number of points Kylee earned for five games
Answer:
25
Step-by-step explanation:
bc i guess
What is the value of x?
E
(2x)°
xº
D
Answer:
30°
Step-by-step explanation:
Since ED = FD, the ∠DEF = ∠EFD
Since ∠DEF = 2x, ∠EFD is also equal to 2x
The sum of the 3 angles of a triangle is 180°
So x + 2x + 2x = 180
6x = 180
x = 30
Okay last question, I’ll mark brainliest whoever gets it correct first
Answer:
Angle ABC = 112°
Step-by-step explanation:
THAT IS CORRECT TRUST ME
Out of 2,000 high school seniors, 191 were enrolled into Honor Society.What percentage of the entire group of 2,000 seniors were in Honor Society?PLEASE EXPLAIN
A.0.955%
B.1.91%
C.9.55%
D.19.1%
Divide number in honor society by total students:
191/2000 = 0.0955
Multiply by 100 to get percent:
0.0955 x 100 = 9.55%
Answer is C. 9.55%
Given functions f ( x ) = 1 √ x and m ( x ) = x 2 − 4 , state the domains of the following functions using interval notation.
Domain of f ( x ) /m ( x ):
Domain of f ( m ( x ) ):
Domain of m(f(x)):
The domain of a function f(x)/m(x) = 1/√x(x² - 4) is (0, ∞) - {0, 2, -2} for other function is shown in the solution.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have:
f(x) = 1/√x
m(x) = x² - 4
Domain of f(x)/m(x):
f(x)/m(x) = (1/√x)/(x² - 4)
f(x)/m(x) = 1/√x(x² - 4)
The denominator cannot be zero:
√x(x² - 4) ≠ 0
x(x - 2)(x+2) ≠ 0
x ≠ 0, 2, -2
and x > 0
Domain of f(x)/m(x) is: (0, ∞) - {0, 2, -2} or [tex]\:\left(0,\:2\right)\cup \left(2,\:\infty \:\right)[/tex]
Domain of f(m(x)):
f(m(x)) = 1/√(x² - 4)
x² - 4 > 0
Domain: [tex]\rm \left(-\infty \:,\:-2\right)\cup \left(2,\:\infty \:\right)[/tex]
Domain of m(f(x)):
= ((1/√x)² - 4)
Domain: [tex]\:\left(0,\:\infty \:\right)[/tex]
Thus, the domain of a function f(x)/m(x) = 1/√x(x² - 4) is (0, ∞) - {0, 2, -2} for other function is shown in the solution.
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Solve -6 < 2x + 4 ≤ 16
Answer:
Step-by-step explanation:
Solve -6 < 2x + 4 ≤ 16
To solve for x, we need to simplify the statement.
let's get rid of the 4 that is added to 2x.
do that by subtracting 4 on all sides (3 sides).
-6 - 4 < 2x + 4 - 4 ≤ 16-4
We get: -10 < 2x ≤ 12
Now, let's get rid of the 2 that gets multiplied to x.
do that by dividing all sides by 2.
-10 : 2 < 2x : 2 ≤ 12 : 2
We get: -5 < x ≤ 6
X = {-4,-3,-2,-1,0,1,2,3,4,5,6}
Hope I helped!
Find the value of x for which m||n
Answer:
x = 61
Step-by-step explanation:
Alternate exterior angles must be congruent for the lines to be parallel.
3x - 43 = 2x + 18
x = 61
urgent help wanted/ needed
The equation in slope-intercept form is: y = -x + 5
The equation in point-slope form is: y - 3 = -1(x - 2)
How to Find the Equation of a Line in Point-Slope Form and Slope-intercept Form?Where (a, b) is a point on the line and m is the slope of the line, the equation in point-slope form for such line would be: y - b = m(x - a).Where b = y-intercept and m = slope, the slope-intercept form for the equation of the line is expressed as: y = mx + b.Slope (m) = rise/run = -(2/2) = -1
Y-intercept (b) = 5 (where the line intercepts the y-axis)
Using a point, (2, 3) = (a, b) and m = -1, the equation in point-slope form is:
y - 3 = -1(x - 2)
Rewrite in slope-intercept form:
y - 3 = -x + 2
y = -x + 2 + 3
y = -x + 5
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John can ride his bicycle at a rate of 14 miles per hour. Convert this rate to feet per second_
O 250.33 feet per second
Answer:
Step-by-step explanation:
Givens
r = 14 miles / hour
Problem
Convert to feet per second.
Solution
Later on, you will learn how to solve these kinds of conversion problems using a method called Unit Analysis. Since you likely have not been taught this method, will just use proportions.
1 mile = 5280 feet
14 miles = x Cross multiply
x = 14 * 5280 Simplify
x = 73920 feet
1 hour = 3600 seconds
Answer
r = 73920 feet / 3600 seconds
r = 20.533 feet / secpmd
A $1,000.00 bond at 85 1/4 % pays 6.8 % annual interest. Calculate cost of bond.
Based on the par value of the bond and the percentage it was issued at, the cost of the bond is $852.50.
What is the cost of the bond?The current cost of the bond is the present value of the bond's cashflows and its par value.
This is taken into account when the bond is issued at a certain percentage which in this case is 85 ¹/₄%.
The cost of the bond is:
= 1,000 x 85 ¹/₄%
= $852.50
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how do i work this out?
She has 45% of the original amount left
Ratio and proportionsFractions are written as a ratio of two integers
Given the following
Initial amount. = ∈4000
Amount given to her sister = 1/4 * 4000 = 1000
Amount given to her brother = 40% of 3000 = 1200
Amount left = 4000 - (1000+1200)
Amount left = ∈1800
Determine the percentage left
x * 4000 = 1800
x = 1800/4000
x = 0.45
x = 45%
Hence she has 45% of the original amount left
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Can someone help me? I’ll give brainliest to whoever gets it right first
Answer:
72 Degrees
Step-by-step explanation:
We know that its 72 because of VAT, the vertical angle theorem.
f of x is equal to 4x divided by the quantity of x minus 16 end quantity.
The zero of the equation is 0. Since degree of denominator is greater than degree of numerator, therefore, the horizontal asymptote is y=0
Asymptotes and zeros of a functionThe zero of the function is the point where the function is zero
Given the function below
f(x) = 4x/x-16
For the zeros
0 = 4x/x -16
4x = 0
x = 0
Hence the zero of the equation is 0
The vertical asymptote is the point where the denominator is zero
x - 16 = 0
x = 16
Since degree of denominator is greater than degree of numerator, therefore, the horizontal asymptote is y=0
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Which second degree polynomial function has a leading coefficient of -1 and root 4 with multiplicity 2?
f(x) = -x²-8x-16
f(x) = -x² +8x-16
f(x)=x²-8x + 16
f(x) = -x² + 8x + 16
Mark this and return
Save and Exit
Next
Subm
Answer:abc and d
Step-by-step explanation:
trust me I took the dum test
Determine the distance between two points. (9,-9) and (-6,-7)
Using a graphing calculator (or Desmos), graph the equation y = (x - 5)² + 2, describe the transformation.
Answer:
the graph has a parent function of f(x) = x²
The (x - 5)² tells us that the graph is shifted to the right 5 units.
The +2 tells us that the graph is shifted up 2 units.
y = 4/5 + square root x + 0.2 - 5x
Answer:
5
Step-by-step explanation:
4(n+3)=24 solve for n
What are the similarities and differences between these data sets in terms of their centers and their variability?
Data Set A: 14, 21, 24, 28, 28, 35
Data Set B: 18, 19, 21, 25, 29, 32
Select from the drop-down menus to correctly complete the statements.
Comparing the centers of the data sets, the median for Data Set A is
Choose...
the median for Data Set B. The mean for Data Set A is
Choose...
the mean for Data Set B.
The median for Set A is (24+28)/2 = 26
The median for Set B is (21+25)/2 = 23
The mean for set A is (14+21+24+28+28+35)/6 = 25
The mean for set B is (18+19+21+25+29+32)/6 = 24.
Thus, the mean for Data Set A is greater than the mean for Data Set B.
Which results only in a horizontal compression of Y=1/x
by a factor of 6?
Step-by-step explanation:
[tex] y = \frac{1}{x} [/tex]
In order to compress by a factor of 6, we multiply the variable x by 6. It would compress the hyperbola
[tex]y = \frac{1}{6x} [/tex]
4. Write the equation of the line that passes through the points (3, 7) and (-1, 2)
in:
a. Point-slope form
b. Slope-intercept form
whats the GCF of x^6 and x^4
Russell has been offered positions by two cable companies. The first company pays a salary of $17,000 plus a commission of $20 for each cable package sold. The second pays a salary of $14,300 plus a commission of $30 for each cable package sold. How many cable packages would need to be sold to make the total pay the same?
Russell has to sell 270 cable packages to make the total pay of both the companies as same.
Suppose that Russell sells x cable packages such that the total pay of both the companies is the same.
Then the revenue Russell would make at the first company is $17000+20x
And, the revenue Russell would make at the second company is
$14300+30x
Since, the above two values are equal
so, 17000+20x=14300+30x
⇒17000-14300=30x-20x
⇒10x=2700
⇒x=270
The above problems are called mathematical modelling.
Mathematical modelling is the process of locating such equations to explain actual occurrences.
These formulae are referred to as mathematical models together with the definitions given to the variables.
Therefore, Russell has to sell 270 cable packages to make the total pay of both the companies as same.
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what fraction is 2500 of 3600
Answer:
25/36
Step-by-step explanation:
put 2500 over 3600 and remove the 0's to simplify it
How does supply and demand affect consumers?
Supply and demand can help consumers make informed decisions about their purchases, anticipate price fluctuations, and stay up to date with market trends.
We have to give that,
To find supply and demand affect on consumers.
Supply and demand have a significant impact on consumers.
When the demand for a product or service is high and the supply is limited, it can lead to higher prices.
On the other hand, when there is high supply and low demand, prices tend to be lower.
For consumers, this means that when the demand for a product is high, they may have to pay more or face limited availability.
Conversely, when the demand is low, consumers may find discounted prices or special promotions.
Supply and demand dynamics also influence the choices available to consumers.
For example, if the demand for a particular type of product increases, companies may introduce new variations or brands to meet consumer preferences.
This can lead to a broader range of options for consumers to choose from.
In summary, understanding supply and demand can help consumers make informed decisions about their purchases, anticipate price fluctuations, and stay up to date with market trends.
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Rectangle ABCDABCDA, B, C, D is graphed in the coordinate plane. The following are the vertices of the rectangle: A(5, 5),A(5,5),A, left parenthesis, 5, comma, 5, right parenthesis, comma B(7,5)B(7,5)B, left parenthesis, 7, comma, 5, right parenthesis, C(7,-1)C(7,−1)C, left parenthesis, 7, comma, minus, 1, right parenthesis, and D(5,-1)D(5,−1)D, left parenthesis, 5, comma, minus, 1, right parenthesis.
Given these coordinates, what is the length of side BCBCB, C of this rectangle?
Answer:
The length of the side BC is 6 units.
Step-by-step explanation:
Distance formula: This works for any two points in 2D space with coordinates (x₁, y₁) for the first point and (x₂, y₂) for the second pointIt is the length of the line segment joining two pointsd = [tex]\sqrt{(x_{2} {-} x_{1})^{2} +(y_{2} {-} y_{1})^{2}}[/tex]For the given question:Rectangle ABCD
Coordinates of Point A,B,C,D
[tex]A = ( 5 , 5)B = (7, 5)C = (7 , -1)D = (5 , -1)[/tex]
As we are asked to find the length of side BC, we'll apply the Distance formula on side BC
BC = [tex]\sqrt{(7_ {-} 7)^{2} +(-1 {-} 5)^{2}}[/tex]
= [tex]\sqrt{(0)^{2} +(-6)^{2}}[/tex]
= [tex]\sqrt{ 36}[/tex]
= [tex]6[/tex]
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Which expression is equivalent to 4^-5 * 4^8
A 4^-2/4^-1
B (4^3)^-1
C 4^2/4^-1
D (4^-1)^3
Answer: C
Step-by-step explanation:
[tex]a^{b} \times a^{c}=a^{b+c}[/tex], so [tex]4^{-5} \times 4^{8}=4^{-5+8}=4^{3}[/tex].
The only option that is equal to this is C
The volume of the above solid is
Match each value on the left with the number on the right that includes that value.
The Super 20 Hotel currently contracts out its cleaning service to Great Maids cleaners who charge $50 a room. They also charge an additional $185 no matter how many rooms they clean. Which equation could be used to determine the cost C of the Great Maids cleaning n rooms?
Answer:
a computer is an electronic device,which input data/instruction,store and processes it and produces output in the desired from
