A polynomial function h(x) has a zero of x = 3 - 41 with a multiplicity of one. Certain values of h() are given in the following table.
x h(x)
-5 0
-2 3
-1 0
1. 2
4 0
7 6
10 O
If every real x-intercept of h() is shown in the table and each has a multiplicity of one, what is the degree of h(x)?
3
4
5
6
Answers
The degree of a polynomial is the value of the highest degree of a monomial in the polynomial
The degree of the polynomial h(x) is 5
The reason the above value is correct is as follows;
Given;
A zero of a polynomial function h(x) is the imaginary number, x = 3 - 4·i
The multiplicity of the root at x = 3 - 4·i is One
The given table showing the real roots of the polynomial is presented as follows;
[tex]\begin{array}{|c|cc|}\mathbf{x}&&\mathbf{h(x)}\\\displaystyle -5&&0\\-2&&3\\-1&&0\\1&&2\\4&&0\\7&&6\\10&&0\end{array}\right][/tex]
Required:
To find the degree of the polynomial, h(x)
Solution:
The maximum number of roots of a polynomial is given by the degree of the polynomial
The number of roots is given by the number zeros
The maximum number of roots an nth degree polynomial can have = n roots
From the given table, the number of zeros = 4 (each with multiplicity of one) = The number of real roots
Therefore, the total number of roots of the polynomial = 4 + 1 = 5 = The (minimum possible) degree of the polynomial
The degree of the polynomial = 5
Learn more about degree of a polynomial here:
https://brainly.com/question/2706981
Related Questions
the difference between a number f and 2
Answers
Answer:
f-2
Step-by-step explanation:
difference means subtractions
f-2
Monique has 12$ in her account, and she withdraws 40$ from the ATM.
Answers
Answer: -$28
Step-by-step explanation: Since Monique has $12, then she subtracts $40 from that. 12 - 40 = -28.
Hope this helps!
what is -9/14 + 2/7 as a fraction in simplest form
Answers
Answer:
-5/14 (change 2/7 to 4/14 and it’ll help)
Which of the following is a rational number? (4 points)
square root 15 square root 16, square root 21, square root 22
a
square root 15
b
square root 16
c
square root 21
d
square root 22
Answers
Answer:
B Square root of 16
Step-by-step explanation:
B Square root of 16 Is the asnwer because Square root of 16 is 4
While the other options leads to decimals answer. And only number 4 is rational
I hope this helps, dont hesitate to ask for any question.
I hope this helps, dont hesitate to ask for any question.Mark me as brainliest is appreciated.Tq!!
Which of the following is the graph of f(x) = |xl translated 2 units right, 2 units up, and dilated by a factor of 1/3?
Answers
Answer:
Its the C graph
Step-by-step explanation:
Solve:
a. 5y – 3 = – 18
b. -3x – 9 = 0
c. 4 + 3(z - 8) = -23
d. 1 – 2(y – 4) = 5
Answers
Answer:
a. y = -3
b. x = -3
c. z = - 1
d. y = -7
Step-by-step explanation:
a. 5y - 3 = - 18
5y = -18 +3
5y = -15
y = -15/5
y = - 3
b. -3x - 9 = 0
-3x = 9
x = 9/-3
x = -3
c. 4 + 3(z-8)= -23
4 + 3z-24 = -23
3z - 20 = -23
3z = -23 + 20
3z = -3
z = -3/3
z = - 1
d. 1 - 2(y-4) = 5
1 - 2y + 8 = 5
9 - 2y = 5
-2y = 14
y = 14/-2
y = -7
Hey, can someone help me with 8 math problems of numbers in their prime factored form? I have no idea how to do this and my teacher didn't really explain very well, so this would be a big help!
Answers
Prime factorization is shows you the only way a number can be factored.
Here are some examples:
6 = 2 x 3
(2 and 3 are prime numbers) If you need to, search up a prime chart of numbers. Also prime numbers is technically how small you can get a number.
Here are some more examples:
12 = 2 x 2 x 3
45 = 5 x 3 x 3
now that you see what it looks like, you may be wondering how did factor those out? Well first find a divisible number. lets use this example;
Factor out 42.
first think of your times table, what two numbers get you to 42, I know that 6 times 7 does so now write it out:
42 = 6 x 7
Is this equation done?
No it is not, 6 can still be factored.
What two numbers get you the product of 6?
they are 3 and 2.
Now the final factored out equation looks like this:
42 = 3 x 2 x 7
----------------------------
I hope this helps!
3. Which is the best description of an extraneous solution?
Answers
Answer: A solution that results in a false statement when substituted back into the original equation.
Step-by-step explanation: An extraneous solution is one that arises in a solution of equations, but which on closer inspection is not a solution to the original equation. Therefore, they imply an error in the development of the solution of the equation, so they cannot be taken as a valid solution since, when replacing the result with the missing variable, the equation does not obtain the desired result.
16(4-3m)=96(-m/2+1)
Answers
Answer:
m = 4
Step-by-step explanation:
[tex]16(4 - 3m) = 96( \frac{ - m}{2 + 1} )[/tex]
[tex]64 - 48m = 96 \times \frac{ - m}{3} [/tex]
[tex]64 - 48m = - 32m[/tex]
[tex] - 48m + 32m = - 64[/tex]
[tex] - 16m = - 64[/tex]
[tex]m = 4[/tex]
What’s the midpoint between x(6,11)an y(10,10)
Answers
Answer:
Midpoint of x(6,11) and y(10,10) is (8 , 21/2)
Answer:
I HOPE IT WILL HELP YOU A LOT.
Write and solve the equation to find the
value of x.
"The quotient of negative sixty and a
number x is four."
a) -60 * x = 4; x = 15
b) -60 / x = 4; x = -15
c) -60 * x = 4; x = -15
d) -60 / x = 4; x = 15
Answers
Answer:
C) -60/x = 4; x = -15Step-by-step explanation:
-60 / x = 4-60 ÷ 4 = -15x = -15Checking:-60/x = 4-60/(-15) = 4[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]
-4a-(8a+1)= -169
Explain
Answers
[tex] - 4a - (8a + 1) = - 169 \\ \\ 4a + 8a + 1 = 169 \\ \\ 4a + 8a = 169 - 1 \\ \\ 12a = 169 - 1 \\ \\ 12a = 168 \\ \\ a = \frac{168}{12} \\ \\ a = 14 \\ \\ this \: was \: helping \: you[/tex]
Step-by-step explanation:
Okay so remember the BODMAS rule where u start with brackets right; Since we're proving that RHS =LHS ,we look at the side which is more complicated and solve it first.
RHS: -4a-(8a+1) =-169
-4a-8a-1=-169
-4a-8a= -169+1 ( N:B like terms)
-12a= -168
-12a/-12= -168/-12
a= 14
Then go back to the original equation and subtitute .
where u see a u put the value u calculated.
-4a-(8a+1)=-169
-4(14)-(8(14)+1)= -169
-169= -169 and u DONE!!
What is the answer to this questions it is worth 20 points
Answers
By observing the table we can conclude that for the number of years to travel back double the electricity is required .
i.e. for 5 years = 10 megawatts
therefore, the relationship between x and y can be depicted by the following equation :
[tex] \boxed{ \boxed{y = 2x}}[/tex]
Solve each equation 3m-3/5=2m-1/2
Answers
Answer:
m= 1/10
Step-by-step explanation:
1. Move the terms so that will be 3m - 2m=-1/2 + 3/5
2. Subtract the m values so that will be 3m - 2m= 1 or m
3. Calculate the sum.
4. So the answer will be m= 1/10. M because we subtracted 2 from 3 which make us 1 so we say it m and 1/10 by doing 1/2 + 3/5.
Answer:
Step-by-step explanation:
3m - 3/5 = 2m - 1/2
3m - 2m = 3/5 - 1/2
m = 0.1
Find the distance of diagonal PX of PWXQ.
Answers
Answer:
Step-by-step explanation:
by reading the graph that says one square is the size 1 we can see that PX starts at 0 on the x -axis, and ends at 7 on the x-axis (horizontal) so
PX = 7 units
Joan joined her school's band. She bought a viola for $72.21, and a song book
which was $7.25 with a $100 bill. How much change was Joan given?
Answers
Hello :D
To do this you need to add the cost of the violin and the song book.
$72.21 + $7.25 = $79.46
$100 - $79.46 = $20.54
The answer is $20.54. I hope this helps :)
i’ll give you brain list
Answers
Answer:
The correct choice is option A. 7^15 / 3^30
Step-by-step explanation:
(3^-6 / 7^-3) ^ 5
(3^-6)^5 = 1 / 3^30
(7^-3)^5 = 1 / 7^15
= (1 / 3^30) / (1 / 7^15)
= 7^15 / 3^30
40 x 3 x 100 ? What is the product
Answers
Answer:
12,000
Step-by-step explanation:
40*3 = 120
120*100 = 12,000
Write
3
_
6
in lowest terms.
Answers
Answer:
1/2
Step-by-step explanation:
3 is half of 6 so the smallest term would be 1/2.
2x° 4xº
Find the value of x.
Answers
6x = 90
x = 90 / 6
x = 15
the set of whole numbers and their opposites
Answers
Answer:
Integers
Step-by-step explanation:
What is the slope of the line passing through the points (2, 4) and (5, 6)?
Answers
Answer:
C. 2/3
Step-by-step explanation:
To find the slope of a line from two points, use this formula.
[tex]m=\frac{y^2-y^1}{x^2-x^1}[/tex]
The variable 'm' means slope in algebra.
y² means the second y-coordinate and y^1 means the first y-coordinate.
Based on the previous definition, it should be easy to figure out what x² and x^1 mean.
[tex](2,4),(5,6)[/tex]
[tex]m=\frac{6-4}{5-2} =\frac{2}{3}[/tex]
Therefore, the slope of the line passing through the points (2,4) and (5,6) is 2/3.
Let me know if you have any questions.
which angles of the triangles measure to a 90 degree
Answers
Answer:
A right angle has a value of 90 degrees (90∘). A right triangle is a triangle in which one angle is a right angle. The relation between the sides and angles of a right triangle is the basis for trigonometry.
The side opposite the right angle is called the hypotenuse (side c in the figure). The sides adjacent to the right angle are called legs (sides a and b). Side a may be identified as the side adjacent to angle B and opposed to (or opposite) angle A. Side b is the side adjacent to angle A and opposed to angle
2p−4<
\,\,-3p-7
−3p−7
Answers
Answer:
Algebra 2p-4<-3p-7 Solver Shows Steps Quadratic Equations, Exponents, Polynomials ... ... 2 p −4<−3 p −7. Enter an equation or problem. Calculator Icon
Help pleaseeeeeeeeeee
Answers
Answer:
3(x+5)
hope it helps you
in the figure below the measure of <1=5x°, the measure of <2=y°, and the measure of <3=85°. Find the value of each variable.
(for the first one <1=5x° I found out x=17 so I just need the rest if you can)
Answers
Answer:
y=95
Step-by-step explanation:
17x5=85
180-85=95
y=95
Each of the pairs of opposite angles made by two intersecting lines is called a pair of vertical angles. The value of x and y is 17 and 95, respectively.
What are vertical angles?Each of the pairs of opposite angles made by two intersecting lines is called a pair of vertical angles.
The measure of ∠1 and ∠3 will be equal since the two angles are vertical angles. Therefore, we can write.
∠1 = ∠3
5x° = 85°
x = 85° / 5
x = 17°
Also, the sum of measures ∠1 and ∠2 will be equal to 180°, this is because the two angles form a pair of linear angles. Therefore, we can write,
∠1 + ∠2 = 180°
5x + y = 180°
Substitute the value of x,
5(17°) + y = 180°
85° + y = 180°
y = 180° - 85°
y = 95°
Hence, the value of x and y is 17 and 95, respectively.
The complete question is mentioned below.
Learn more about Vertical Angles here:
https://brainly.com/question/24460838
#SPJ2
D. Wade's iPhone is 4 12/8 inches long. LeBron's iPhone is 5 3/8 inches long. Whose phone is longer, D. Wade or Lebron? Or are the phones the same length? Explain how you know.
Answers
Answer: Wade's iPhone is longer.
Step-by-step explanation: 4 12/8 = 5 4/8 > 5 3/8 Brainliest please?
The parallel boxplots below display the number of bite-size snacks that students could grab with one hand for two
statistics classes.
Answers
Answer: ( A ) The distribution for class 1 appears to be skewed right and the distribution for class 2 appears to be symmetric.
Step-by-step explanation:
Question:
The parallel boxplots below display the number of bite-size snacks that students could grab with one hand for two statistics classes.
Which statement best compares the shapes of the distributions of the number of bite-sized snacks for the two classes?
A) The distribution for class 1 and the distribution for class 2 both appear to be fairly symmetric.
B) The distribution for class 1 appears to be skewed left and the distribution for class 2 appears to be symmetric.
C) The distribution for class 1 appears to be skewed right and the distribution for class 2 appears to be symmetric.
D) The distribution for class 1 appears to be skewed right and the distribution for class 2 appears to be slightly skewed left.
Answer:
C) The distribution for class 1 appears to be skewed right and the distribution for class 2 appears to be symmetric.
Step-by-step explanation:
edge 2023
Robert,Susan,and Todd are standing in a line. How many ways can they be arranged.
Answers
Answer:
They can be arranged 6 times
Step-by-step explanation:
Robert, Susan, Tod... Tod, Susan, Robert... Susan, Robert, Tod... Tod, Robert, Susan... Susan, Tod, Robert... Robert, Tod, Susan.
PLEASE HELP THIS IS DUE TODAY :((
The picture is attached below
The question is
Given the piecewise function shown below select all of the statements that are true
Answers
A is true: 1 > 0, and f (1) = 1² - 1 = 0.
B is false: -2 < 0, so f (-2) = -(-2) + 1 = 3.
C is false: 4 > 0, and f (4) = 4² - 1 = 15.
D is true: -1 < 0, so f (-1) = -(-1) + 1 = 2.
