PLEASEE HELP ME AS FAST AS POSSIBLE! According to the fundamental theorem of algebra, how many solutions does this polynomial have?
Btw sorry about the bad lighting
Answers
2, because there are 2 different factors with x in it.
x could be 0, or 4.
Hope this helps
The number of the solution of the polynomial is 2. And the solutions of the polynomial are 0 and 4.
What is polynomial?A polynomial expression is an algebraic expression with variables and coefficients. Unknown variables are what they're termed. We can use addition, subtraction, and other mathematical operations. However, a variable is not divisible.
The polynomial is given below.
y = 3x(x - 4)
The factors of the polynomial are 3x and (x - 4).
For the solution of the polynomial, put each factor equals to zero.
Then the solution of the polynomial will be
3x = 0
x = 0
x - 4 = 0
x = 4
The number of the solution of the polynomial is 2.
And the solutions of the polynomial are 0 and 4.
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Related Questions
Jacob's hourly salary is $11.00. If Jacob works more than 40 hours a week, then Jacob gets overtime pay at 1 and 1/2 times the regular hourly rate for each hour worked over 40 hours. Last week, Jacob worked 49 hours. What was the total pay last week?
Answers
Answer:
588.50
Step-by-step explanation:
11.00 x 40 = 440
16.50 x 9 = 148.5
Solve the system of equations. show your work/explain how you found your answer.
2x-4y=10
x+5=40
Answers
Answer:
Look at step-by-step explanation
Step-by-step explanation:
Work on the second equation first.
x + 5 = 40
Get all variables on one side:
x = 35
You now have the answer for the variable of x, use this on the first equation:
2x-4y=10
2(35)-4y=10
Subtract 70 from both sides:
70-4y=10
Divide both sides by neagtive 4:
-4y=-60
y=15
state which of the following sets of ordered pairs represents a function. Please pick the best option
Set A: (5, 2), (4, 3), (3, 4), (2, 5) Set B: (-1, -6), (0, 2), (1, 2), (3, 6)
Set B: (-1, -6), (0, 2), (1, 2), (3, 6)
Set C: (2, 1), (4, 2), (2, 3), (8, 4)
a. Set C
b. Set B
c. Set A
d. Set A and Set B
I would really appreciate it if you could help me out!
Answers
Answer:
set A and set B...it is the best and right option bro...option c is wrong because 2 elements of domain has relation with 1 range
make a table and graph the solutions of each equation y=3x+1
Answers
Answer:
i can't graph it but i'll give you the points to graph
Step-by-step explanation:
(-2, -5) (-1,-2) (0,1) (1,4) (2,7)
start at the point in bold
A regular pentagon (5 sides) is rotated about its center. By which angle could the pentagon be rotated so that it is mapped onto itself?
A
45 degrees
B
60 degrees
C
72 degrees
D
90 degrees
Answers
Answer: Your answer is C, 72 degrees.
Step-by-step explanation:
A pentagon is a polygon with 5 vertices. A polygon can be rotated 360 degrees in total. Since this shape has 5 vertices, it can be rotated on every vertex to get the same figure, or in other words, it being mapped onto itself. Therefore, 360 degrees divided by 5 vertices is 72 degrees.
Mr. Townsend needs to make 13 pairs of butterfly wings for costumes for a play. Each pair of wings is made with ¾ yard of fabric. The fabric costs $8 per yard. You'll apply properties of multiplication in the following steps to find the total cost of the fabric.
Answers
Answer:
Step-by-step explanation:
1 pair of wings = 3/4 yard fabric
We know that 1 yard of fabric = $8
1 pair of wings = $8 x 3/4 = $6
Therefore total cost = $6 x 13 = $78
The total cost of the fabric is $ 78
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 number of pairs of butterfly wings = 13 pairs
The amount of fabric used in 1 pair of butterfly wings = 3/4 yards
The cost of 1 yard of fabric = $ 8
Now , the equation will be
The cost of 3/4 yard of fabric = 3/4 x cost of 1 yard of fabric
= 3/4 x 8
= 3 x 2
= $ 6
Now , the equation is
The total cost of fabric for 13 pairs of butterfly wings =
13 x cost of 3/4 yard of fabric
The total cost of fabric for 13 pairs of butterfly wings = 13 x 6
= $ 78
Therefore , the cost is $ 78
Hence , The total cost of the fabric is $ 78
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How many significant figures are in the number: 9003
Answers
Answer:
4
Step-by-step explanation:
Miguel gave 5 items to the clerk at the store. Before taxes were added the total was 36.00. If each item was priced the same, what is the cost of one of the items?
Answers
Answer:
$7.20
Step-by-step explanation:
$36.00 for 5 items.
Divide $36.00 by 5 to find the price of 1 item.
$36/5 = $7.20
Brian May, guitarist for Queen, does not know how to price his signature Antique Cherry Special that cost him £340 to make. He knows he wants 80% markup on cost. What price should Brian May ask for the guitar?
Answers
9514 1404 393
Answer:
£612
Step-by-step explanation:
If Brian wants to add 80% of the cost to the cost, the selling price will be ...
£340(100% +80%) = £340·1.80 = £612
Brian May should ask £612 for the guitar.
D is the midpoint of CE and EC = 18. Find the length of DE
Answers
Answer:9
Step-by-step explanation:
PLEASE HELP URGENT !! (What is the slope of the line on the graph?)
What is the slope of the line on the graph?
Answers
Answer:
2/6
1/3 simplified
Rise over run
choose any two points on the graph and do rise over run
The equation for a parabola has the form y = ax2 + bx + c, where a, b, and c are constants and a ≠ 0. Find an equation for the parabola that passes through the points (−1, −11), (1, −5), and (2, −8).
Answers
Putting (-1, -11) in given equation, we get :
-11 = a + -b + c ....1)
Similarly putting (1, −5) and (2, −8) we get :
-5 = a + b + c ....2)
-8 = 4a + 2b + c ....3)Adding equation of 1) and 2) we get :
2( a + c ) = -6
a + c = -3
Solving equation 1 , 2 and 3 ,we get :
a = -2 , b = 3 , c = -6
Therefore, equation of parabola is :
y = -2x² + 3x -6
Hence, this is the required solution.
Which phrase matches the algebraic expression below? (1 point)
3(x + 7) + 10
Answers
Answer:
Add 10 to three times the value of x minus 7.
Step-by-step explanation:
Answer:
Three times the difference of X and seven plus ten
Step-by-step explanation:
Suppose set A contains 336 elements and the total number elements in either set A or set B is 642. If the sets A and B have 78 elements in common, how many elements are contained in set B?
Answers
Answer:
math
Step-by-step explanation:
Cuál es el 30% de 100.000?
Porfaaaaaa ayudenmeeeeeee
Answers
Answer:
30
Step-by-step explanation:
PLEASE HELP AS FAST AS YOU CAN ASAP DUE IN 30 MINUTES!!!!
the prism is made up of unit cubes. the side length of the unit cube is 1/4 inch
what us the volume of the prism
A. 3/8
B. 8
C. 24
D. 1/64
please explain as well
Answers
Answer:
C
<$&#&#;#;#;#;#
Step-by-step explanation:
1/4= 4x6=24
Answer:
C
Step-by-step explanation:
Change the given equation into slope-intercept form:
1. - 2 + y = -x
Answers
rearrange the equation, so it would be y = -x+2
you want to give it into a y=mx+b form
How long is the blue ribbon if the red ribbon is 12 inches
Answers
Answer:
can I have more info plz
Which equation is equivalent to the given equation?
–8(x + 13) = 2(x - 7) + 4x
Answers
Answer: Is C
-8x-104=6x-14
Step-by-step explanation: I got the question right
Answer: -8x - 104= 6x - 14
Step-by-step explanation:
-8(x+13) =2(x-7) + 4x
-8x - 104 = 2X - 14 + 4x
-8x - 104 = 6x - 14
Mid point between (0,0) (11,9)
Answers
9514 1404 393
Answer:
(5.5, 4.5)
Step-by-step explanation:
The midpoint coordinates are the average of the end point coordinates.
((0, 0) +(11, 9))/2 = (11, 9)/2 = (5.5, 4.5) . . . midpoint
what is the slope of the line
Answers
Answer:
M=[tex]-\frac{3}{4}[/tex]
Step-by-step explanation:
M=[tex]\frac{rise}{run}[/tex]
From left to right, the line goes down. Therefore, it is a negative slope.
[tex]-\frac{3}{4}[/tex]
What is 18 x 2 x (3 + 4) x 3 + 6
Answers
Answer:
762Step-by-step explanation:
[tex]18 \times 2 \times (3 + 4) \times 3 + 6[/tex]
Follow PEMDAS order of operation
[tex]3 + 4 = 7 \\ 18 \times 2 \times 7 \times 3 + 6 \\ 18 \times 2 \times 7 \times 3 = 756 \\ 756 + 6 = 762[/tex]
Answer:
762
Step-by-step explanation:
We need to use BODMAS method
B - Brackets
O - Power
D - Division
M - Multiplication
A - Addition
S - Subtraction
__________________
Workout
First Brackets
- (3 + 4) = 7
Then multiplication
18 x 2 = 36
36 x (3 + 4) = 36 x 7 = 252
252 x 3 = 756
Lastly Adding
756 + 6 = 762
Answer = 762
___________________
Hope you understand
:-)
Question 6 (5 points)
TD
What is the distance between point C and point D?
A) 185 units
O
B) 12 units
C) 17 units
D) 13 units
Answers
Answer:
C
Step-by-step explanation:
Answer:13
Step-by-step explanation:
Karen scored a 76 on an exam meaning is 74 and one standard deviation of eight. Find her Z score.
Answers
Answer:
0.25
Step-by-step explanation:
(76-74)/8
=2/8
=1/4
=0.25
A contestant in a game show has 9,000 points. The contestant answers the next question incorrectly and loses 750 points. What integer represents a
loss of 750 points?
Answers
An integer is a whole number that can be positive, negative, or zero and is not a fraction. The integer that represents a loss of 750 points is -750.
What is an integer?An integer is a whole number that can be positive, negative, or zero and is not a fraction. Integer examples include: -5, 1, 5, 8, 97, and 3,043. The following numbers are examples of non-integer numbers: -1.43, 1 3/4, 3.14,.09, and 5,643.1.
Given that a contestant in a game show has 9,000 points. Further, The contestant answers the next question incorrectly and loses 750 points.
Now, since the 750 points are a loss and will be deducted from the total points, therefore, these 750 points can be represented by -750.
Hence, the integer that represents a loss of 750 points is -750.
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Find a polynomial function of degree 3 with real coefficients and the numbers 6, 3i as some of its zeros.
Answers
Answer:
A polynomial function of degree 3 with real coefficients and the numbers 6 and i 3 as some of its zeroes is [tex]p_{3}(x) = x^{3}-6\cdot x^{2}+9\cdot x -54[/tex].
Step-by-step explanation:
A third-order polynomial in standard form is a sum of monomials with natural exponentials such that greatest degree of monomials is 3. This kind of polynomials is described by this definition:
[tex]p_{3}(x) =\Sigma\limits_{i=0}^{3} c_{i} \cdot x^{i}[/tex] (Eq. 1)
Where:
[tex]i[/tex] - Index of a sum component, dimensionless.
[tex]c_{i}[/tex] - i-th coefficient, dimensionless.
Where the highest value of [tex]i[/tex] is the degree of the polynomial.
In addition, the Fundamental Theorem establishes that all polynomials with real coefficients and degree higher than zero have a number of complex roots, an extension of the real set, equivalent to the degree of the polynomial itself.
In our case, we guarantee the existence of three complex roots, of which we know two of them: [tex]r_{1} = 6[/tex] and [tex]r_{2} = i\,3[/tex]. The polynomial can be represented as a product of three binomials:
[tex]p_{3}(x) = (x-r_{1})\cdot (x-r_{2})\cdot (x-r_{3})[/tex] (Eq. 2)
Where [tex]r_{1}[/tex], [tex]r_{2}[/tex] and [tex]r_{3}[/tex] are the roots of the third order polynomial.
If we know that [tex]r_{1} = 6[/tex] and [tex]r_{2} = i\,3[/tex] and assume that [tex]r_{3} = -i\,3[/tex], the resulting polynomial is:
[tex]p_{3} (x) = (x-6)\cdot (x+i\,3)\cdot (x-i\,3)[/tex]
And by Algebra of real numbers we obtain the polynomial in its standard form:
[tex]p_{3}(x) = (x-6)\cdot (x^{2}+9)[/tex]
[tex]p_{3}(x) = x\cdot (x^{2}+9)-6\cdot (x^{2}+9)[/tex]
[tex]p_{3}(x) = x^{3}+9\cdot x -6\cdot x^{2}-54[/tex]
[tex]p_{3}(x) = x^{3}-6\cdot x^{2}+9\cdot x -54[/tex]
A polynomial function of degree 3 with real coefficients and the numbers 6 and i 3 as some of its zeroes is [tex]p_{3}(x) = x^{3}-6\cdot x^{2}+9\cdot x -54[/tex].
Choose a true statement.
g(x) is not a function because f(x) is not a
function.
O g(x) is not a function because f(x) is not one-
to-one.
O g(x) is a function because f(x) is one-to-one.
O g(x) is a function because f(x) is not one-to-
one.
Answers
Answer: c
Step-by-step explanation:
The correct statement is that g(x) is a function because f(x) is one-to-one.
What is an inverse function?First to be an inverse function that function needs to one to one function, meaning every different preimage must correspond to a different image.
We can obtain the inverse of a function by switching the variables x and y with their respective positions and solving for y in terms of x.
We know a function f(x) has its inverse g(x) if and only if f(x) is a one-to-one function.
From the given statements the only true statement is, g(x) is a function because f(x) is one-to-one.
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Task: Use the following situation to answer Parts A and B Instructions At noon, a tank contains 100 gallons of water. The table shows the input and output of water from pipes A, B, and C. The pipes begin operating simultaneously at noon. A B C Pipe Flow IN (gallons per minute) a (2) = 172 6(2) = 80 Flow OUT (gallons per minute) c (2)=30r Complete each of the 2 activities for this Task. Activity 1 of 2 Let T (2) represent the amount of water in the tank x minutes after all of the pipes A, B, and C are opened. Which of the following functions represents T (x)? O A T (2) = 100 + a(z) +b(2) - c(x) OCT (x) = 100 + a (x) +b(2) + c(2) OBT () = a (x) + b() +(2) ODT (2) = a (x) +b(x) - c(:) Activity 2 of 2 Using the equation, after how many minutes will the tank be empty?
Answers
Answer:
See referenced question
Step-by-step explanation:
Refer to this answer:
https://brainly.com/question/18638278Attached is the question in original form
Simplify -51/4-(-71/2). Which of the following is correct
Answers
Answer:
91/4 as a fraction, 22.75 as a decimal
Step-by-step explanation:
(-51/4) - (-71/2)
=
(-51/4) + (71/2)
=
(-51/4) + (142/4)
=
(-51+142/4)
=91/4
Your answer is 91/4. The decimal version is 22.75. Hope this helps :)
The manufacturer of a soccer ball claims that only 3% of the soccer balls produced are faulty. An employee of this company examines the long-run relative frequency of faulty soccer balls produced as shown in the graph.
A graph titled Faulty Soccer Balls has frequency on the x-axis, and probability on the y-axis. The graph levels out around y = 0.06.
Which conclusion can be drawn from this graph?
The company’s claim seems to be true because the graph shows that when 50 soccer balls were tested, only about 3% of them were faulty.
We should not believe the company’s claim that only 3% of their soccer balls are faulty because this graph shows a continuous increase in probability.
Because the graph shows that the probability of producing a faulty soccer ball is 0.03, we can believe the company’s claim that only 3% of the produced soccer balls are faulty
The graph shows that the probability of producing a faulty soccer ball is about 0.06; therefore, we should not believe the company’s claim that only 3% of the produced soccer balls are faulty.
Answers
Answer:
The answer is D
Step-by-step explanation:
Answer:
D. The graph shows that the probability of producing a faulty soccer ball is about 0.06; therefore, we should not believe the company’s claim that only 3% of the produced soccer balls are faulty.
Step-by-step explanation: