A polynomial function h(x) has a zero of x-3-4/ with a multiplicity of one. Certain values of h(x) are given in the following table.
X h(x)
-5 0
-2 3
-1 0
1 2
40
7 6
10 0
If every real x-intercept of h(X)is shown in the table and each has a multiplicity of one, what is the degree of h(X)?
A.) 3
B.) 4
C.) 5
D.) 6
Answers
The degree of the polynomial function h(x) is 4.The correct answer is B.) 4.
To determine the degree of the polynomial function h(x), we need to examine the behavior around the x-intercepts in the table.
Given that each x-intercept has a multiplicity of one, we can infer that the degree of the polynomial function will be equal to the number of distinct x-intercepts.
Looking at the table, we can identify the following x-intercepts:
x = -5, x = -1, x = 3, and x = 10.
Since there are four distinct x-intercepts in the table, the degree of the polynomial function h(x) is 4.
Therefore, the correct answer is:B.) 4
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Related Questions
which equation represents the linear function that is shown on the graph
Answers
Answer:
Y = (1/2)x - 2
Step-by-step explanation:
To compose a linear equation, always use the form
Y = Mx + C where C is the y-intercept and M is the gradient.
In this case, pick any 2 points on the graph to solve for M
e.g (8,2) and (6,1)
Gradient = (2 - 1) /(8 -6) given by (y1 - y2) / (x1 - x2) = 1 / 2
Substitute into the form, we get
Y = (1/2)x + C
Now, we use any point again on the graph,
e.g (6,1) and substitute as (x, y) into the above function.
We will get 1 = (6)(0.5) + C
C = -2
Piece them up and u get the full function.
if a is a set of real numbers which is bounded above and b is a set of real numbers which is bounded below then there is at most one real number in both a and b?
Answers
If a is a set of real numbers that is bounded above and b is a set of real numbers that is bounded below, there is at most one real number that can exist in both sets.
A real number is any number that can be expressed as a decimal or fraction and exists on the number line.
If a set of real numbers, represented by a, is bounded above, it means that there exists a real number, represented by M, such that all the numbers in the set are less than or equal to M. Similarly, if a set of real numbers, represented by b, is bounded below, it means that there exists a real number, represented by m, such that all the numbers in the set are greater than or equal to m.
Now, let's consider a real number, represented by x, that exists in both sets a and b. If x exists in a, it must be less than or equal to M and if x exists in b, it must be greater than or equal to m. Hence, x must satisfy both conditions: M >= x >= m.
From these conditions, it can be deduced that M and m must be equal to x. In other words, there can only be one real number that is simultaneously the greatest value in a and the smallest value in b.
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What are the coordinates of the endpoints of the midsegment for A RST that is parallel TS? Enter your answer by filling in the boxes. (_ , _) and (_ , _)
Answers
Answer:
2,4 3,5
Step-by-step explanation:
mations to Determine Similarity
What steps would you take to determine if these
figures are similar? Check all that apply.
Use a scale factor of 2.
Multiply the vertices of polygon ABCD by
O Translate the intermediate image 4 units down.
Perform two different dilations.
Reflect the intermediate image.
Answers
The steps which you would take to determine if these figures are similar include the following:
2. Multiply the vertices of polygon ABCD by 1/2.
5. Reflect the intermediate image.
What is a dilation?In Mathematics and Geometry, a dilation is a type of transformation which typically transforms the dimension (size) or side lengths of a geometric object, without affecting its shape.
Therefore, the dimension or side lengths of the dilated geometric object would be stretched or compressed (shrunk) depending on the scale factor that is applied.
By critically observing the graph representing polygon ABCD, we can logically deduce that a sequence of transformations that would polygon ABCD (pre-image) onto polygon A"B"C"D" (image) is a dilation by a scale factor of 1/2 and a reflection of intermediate image.
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
Find the missing number in 2,3,5,7,4,6,10,(?)
Answers
Answer:
The next number is 13.
This sequence consists of numbers which are sum of digits of 2^n.
For example: when n= 1, 2^n is 2 which is the first number of sequence.
When n=6, 2^6=64. So,6+4=10 which is sixth number of sequence.
So, when n=8, 2^8=256,So, 2+5+6=13 which will be the eighth number of sequence.
Hope this helps :)
Step-by-step explanation:
20 + 60 ÷ 5 + (9 - 4)2
Answers
Answer:
42
Step-by-step explanation:
20 + 60 ÷ 5 + (9-4)2
Use PEMDAS to solve this equation, so first solve what is in the parentheses
20 + 60 ÷ 5 + (5)2
Since there are no exponents, next solve the multiplication
20 + 60 ÷ 5 + 10
Next is division
20 + 12 + 10
Finally, addition
42
6x + 45 is less than or equal to 240
Answers
Answer: neither
Step-by-step explanation:
To get rid of the fractions, we pick a useful number and multiply both sides of the equation by that number. The number is useful if multiplying eliminates all fractions.
pls help
heather had some candy to give to her five children. she first took eight pieces for herself and then evenly divided the rest amount her children. each child received four pieces. with how many pieces did she start?
Answers
Answer: She started with 28 pieces of candy.
Step-by-step explanation: In the beginning of the question it says that heather took 8 pieces. Then she divided the rest evenly amongst her 5 kids. Each received 4, so that make the equation 8+(5x4) which gives us 8+(20). Or 8+20 which is 28.
Answer:
She started with 28 candies.
Explanation:
Let the total amount of candies be c
Build equation:
heather took out 8 candies for herself→ remaining: c - 8
then divided the remaining candies to her five children→ each gets: (c - 8)/5
Here given each gets 4 candies
So,
(c - 8)/5 = 4
c - 8 = 5(4)
c - 8 = 20
c = 20 + 8
c = 28
Javier is going to a water park with his little brother, Caden. Since Caden is only 4 feet tall, they check to see if he is tall enough to ride the Super Slide. Sadly, the park's website says that he needs to be at least 52 inches tall. How many more inches does Caden need to grow before he is tall enough to ride the Super Slide?
Answers
Caden needs to grow 4 inches tall enough to ride the Super Slide.
What is unit conversion?Multiplication or division by a numerical factor, selection of the correct number of significant figures, and unit conversion are all steps in a multi-step procedure.
Given that:-
Javier is going to a water park with his little brother, Caden. Since Caden is only 4 feet tall, they check to see if he is tall enough to ride the Super Slide. Sadly, the park's website says that he needs to be at least 52 inches tall.Caden's height = 4 feet
Min height to ride the Super slide is = 52 inches
Caden's height in inches will be:-
1 feet = 12 inches
4 feet = 12 x 4 = 48 inches.
The difference between the height will be given as:-
D = 50 - 48 = 4 inches
So Caden should grow his height by 4 inches to ride the super slide.
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I really need help answering this question, the question is the attachment below.
Answers
Answer:
49.6
Step-by-step explanation:
Answer:
Please mark as brainliest;)
Wally counted 200 pennies from his piggy bank. He kept 80% of them. How many pennies did Wally keep?
Select one:
160
60
80
120
Answers
Find mzC.
B
(2x – 12)
(9x – 26)
(4x + 43)
Answers
Answer:
m<C = 119°
Step-by-step explanation:
Create an equation to find the value of x.
(9x - 26)° = (2x - 12)° + (4x + 43)° (exterior angle theorem of a ∆)
Solve for x
9x - 26 = 2x - 12 + 4x + 43
Add like terms
9x - 26 = 6x + 31
9x - 6x = 26 + 31
3x = 57
Divide both sides by 3
x = 19
✔️m<C = 4x + 43
Plug in the value of x
m<C = 4(19) + 43
m<C = 76 + 43
m<C = 119°
A golf retailer purchases its clubs from a wholesaler at $39 per club. It sells the same clubs to golfers at $76 per club. What is the markup on each club, as a percentage of the wholesale price?
Answers
Find the amount of the markup by subtracting:
76-39 = $37
Divide the amount of the mark up by the purchase price:
37/39 = 0.948 x 100 = 94.8%
Answer: 94.8 %. Round the answer as needed.
Susan and Judy shared the driving on a trip. Of the 810 miles they drove, Susan drove twice as far as Judy. How many miles did Susan drive
Answers
Answer:
Given: total of 810 miles
Judy's miles = x
Susan's miles = 2x
Solution:
Solve for Judy's miles
2x + x = 810 miles
3x = 810 miles
(transpose) x= 810 miles / 3
x = 270 (Judy drove 270 miles)
Solve for Susan's miles
2x = Susan's miles
2(270 miles) = 540 miles
Answer: Susan drove for 540 miles
Answer:
Given: total of 810 miles
Judy's miles = x
Susan's miles = 2x
Answer: Susan drove for 540 miles
Step-by-step explanation:
Solution:
Solve for Judy's miles
2x + x = 810 miles
3x = 810 miles
(transpose) x= 810 miles / 3
x = 270 (Judy drove 270 miles)
Solve for Susan's miles
2x = Susan's miles
2(270 miles) = 540 miles
2 YES/NO QUESTION SURVEY FOR MATH CLASS (BASICALLY FREE POINT)
1) Do you like cats(yes/no)
2) Do you like dogs(yes/no)
Answers
2. Yes, I love dogs
Both ;) Cat because i like Beluga ;)))
Dog because I like doge ;)
Find the value of x if x/3-2=6
Answers
Step-by-step explanation:
hope it is helpful to you
stay safe happy and healthy
\(\huge\textsf{Hey there!}\)
\(\mathsf{\dfrac{x}{3}-2=6}\)
\(\mathsf{= \dfrac{1}{3}x - 2 = 6}\)
\(\textsf{ADD 2 BOTH SIDES}\)
\(\mathsf{\dfrac{1}{3}x - 2 + 2 = 6 + 2}\)
\(\textsf{CANCEL out: -2 + 2 because that gives you 1}\)
\(\textsf{KEEP: 6 + 2 because that helps solve for x}\)
\(\mathsf{6 + 2 = \boxed{\bf 8}}\)
\(\mathsf{NEW \ EQUATION: \dfrac{1}{3}x = 8}\)
\(\textsf{MULTIPLY 8 to BOTH SIDES}\)
\(\mathsf{3\times\dfrac{1}{3}x=3\times8}\)
\(\mathsf{CANCEL\ out: \ 3 \times \dfrac{1}{3} \ because \ that \ gives \ you \ 1}\)
\(\mathsf{KEEP: \ 3 \times 8 \ because \ that\ gives \ you \ the \ value \ of \ x}\)
\(\mathsf{\boxed{\bf x}= 3\times8}\)
\(\mathsf{3\times8 = \boxed{\bf x}}\)
\(\boxed{\boxed{\large\textsf{Answer: \huge \bf x = 24}}}\huge\checkmark\)
\(\large\textsf{Good luck on your assignment and enjoy your day!}\)
~\(\frak{Amphitrite1040:)}\)
The owner of a deli recorded the number of customers who ordered each of four sandwiches available if the deli has 50 customers the first hour it is open predict how many customers will order turkey sandwiches
Answers
The first hour there will be 18 costumers that will order Turkey sandwiches
Probability
First, we want to find the probability of having a costumer who choose Turkey sandwich.
In order to find it, we calculate the ratio of turkey sandwiches over the total number of orders.
Turkey sandwiches: 180
Total number of orders: 160 + 100 + 180 + 60 = 500
Ratio = turkey / total
Ratio = 180 / 500 = 0.36
Then, the probability of having a costumer who choose Turkey sanwich is
P(T) = 0.36 = 36%
Secondly, in order to find the 36% of 50, we just multiply 0.36 by 50:
Hence , the first hour there will be 18 costumers that will order Turkey sandwiches
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List all the 4-tuples in the relation {(a,b,c,d) | a,b,c,d∈!+ , a+b+c+d = 6}
Answers
We have a total of seven 4-tuples that satisfy the given relation.The given relation is {(a,b,c,d) | a,b,c,d∈!+ , a+b+c+d = 6}. It can be understood as the set of 4-tuples (a, b, c, d) such that a, b, c, and d are positive integers and their sum is equal to 6.
Let's now list all the possible 4-tuples that satisfy the given relation. The possible combinations are as follows: (1, 1, 1, 3), (1, 1, 2, 2), (1, 2, 1, 2), (2, 1, 1, 2), (1, 2, 2, 1), (2, 1, 2, 1), and (2, 2, 1, 1).
Here's a brief explanation on how these 4-tuples were obtained. Let a, b, c, and d be positive integers such that a+b+c+d = 6. The least possible value that each variable can take is 1.
So, we start with a=1 and find all possible values of (b, c, d) that satisfy the given equation. Then, we move to a=2 and repeat the process. Finally, we list all the possible 4-tuples that we obtained.
Thus, we have a total of seven 4-tuples that satisfy the given relation.
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The Cardiovascular Risk in Young Finns Study showed average baseline triglyceride levels among 920 people of 0.926 mmol/L associated with a total sum of squared deviations of approximately 160 mmol/L. If a linear regression analysis of baseline triglyceride levels on physical activity levels had an R-squared of 0.30, what are the sum of squared deviations explained by the regression model?
a. 112 mmol/L
b. Not enough information
c. 48 mmol/L
Answers
Answer:
The sum of the squared deviations explained by the regression model is:
c. 48 mmol/L
Step-by-step explanation:
Average baseline triglyceride levels among 920 people = 0.926 mmol/L
Total sum of squared deviations, approximately = 160 mmol/L
Linear regression analysis of baseline triglyceride levels on physical activity levels had an R-squared = 0.30
Therefore, the sum of the squared deviations explained by the regression model = 160 * 0.30 = 48 mmol/L
The temperature during a winter day was less than 8 degrees Fahrenheit. Digby wants to write an inequality for the temperature during the winter day. What constant should Digby use in the inequality?
Answers
The constant that will be used in Digby's linear inequality will be 8.
What are linear inequalities, exactly?
Inequality is a mathematical statement that states that neither side is equal. When a link causes a non-equal comparison between two expressions, an inequality develops. The inequality symbols, such as greater than symbol (>), less than symbol (<), greater than or equal to symbol (≥), less than or equal to symbol (≤), or not equal to symbol (≠), replace the equal sign "=" in the sentence. In mathematics, inequalities are classified into three types: polynomial inequalities, rational inequalities, and absolute value inequalities.
The characters '<' and '>' denote severe inequalities, whereas " ≤ and ≥ " denote slack inequalities.
Now,
Given that The temperature during a winter day was less than 8 degrees Fahrenheit.
let x be the temperature in degree Fahrenheit
then the linear inequality to show the statement will be
x<8 where 8 is a constant
Hence,
The constant that will be used in Digby's linear inequality will be 8.
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Answer:
The awnser is 8.
Step-by-step explanation:
i just know<33
p\13 less than equal to 30
Answers
qwerty????????????????
Determine the equation of the circle graphed below
Answers
Answer:
(x-2)^2 + (y+3)^2 = 5.1^2
Step-by-step explanation:
The equation of a circle is (x-h)^2 + (y-k)^2 = r^2, where h and k are the x and y values of the center of the circle respectively and r stands for the radius.
The center is given to us, at (2, -3) so we can plug that in:
(x-(2))^2 + (y- (-3))^2 = r^2
Simplify:
(x-2)^2 + (y+3)^2 = r^2
We can also solve for the radius by getting another point given to us: (3,2).
Using the pythagorean theorem, we can find how far the two points are away from each other:
a^2 + b^2 = c^2
1^2 + 5^2 = c^2
1 + 25 = c^2
26 = c^2
c ~ 5.1
Plug the radius we solved for in for r:
(x-2)^2 + (y+3)^2 = 5.1^2
Zach is repainting his bedroom. The area of one wall is 96 square feet. The length of his wall is 12 feet. What is the height of Zach’s bedroom wall?
Answers
Answer:
8 feet
Step-by-step explanation:
Let's start by remembering what we know about rectangles. The area of a rectangle is equal to the length multiplied by the height:
A = l x h
To find the height of the wall, we will divide the area by the length to isolate the unknown variable on one side of this equation:
h = 96/12 = 8 feet
Hope this helped!
What is the proportional relationship between a and bA B8. 324 940 15 Write a equation describing the relationship between a and b
Answers
Explanation:
A proportional relationship means that the two variables are related by a constant called constant of proportionality:
\(a=kb\)k is the constant of proportionality.
To find k we have to use the values of a and b from the table:
\(\begin{gathered} k=\frac{a}{b} \\ k=\frac{8}{3} \\ k=\frac{24}{9}=\frac{8}{3} \\ k=\frac{40}{15}=\frac{8}{3} \end{gathered}\)Answers:
• equation: ,a = 8/3 b
,• constant of proportionality:, 8/3
Combining like terms. Solve for b.
15b + 10b = 50
Answers
Answer:
b=2
Step-by-step explanation:
15b+10b=50
25b=50
b=2
Answer:
B is 2 because 10x2=20 and 15x2=30
add those 2 up and get 50
Step-by-step explanation:
Give brainly pls(the crown)
Let $\overline{AB}$ and $\overline{CD}$ be chords of a circle, that meet at point $Q$ inside the circle. If $AQ = 6,$ $BQ = 12$, and $CD = 38$, then find the minimum length of $CQ$.
Answers
9514 1404 393
Answer:
2
Step-by-step explanation:
The products of chord lengths are the same for the intersecting chords:
AQ×BQ = CQ×DQ
6×12 = CQ×(38 -CQ)
This gives a quadratic in CQ:
CQ² -38CQ +72 = 0 . . . . . write in standard form
(CQ -2)(CQ -36) = 0 . . . . . factor the quadratic
CQ = 2 or 36 . . . . . . . values of CQ that make the factors zero
The minimum length of CQ is 2 units. (DQ will be 36.)
A scientist poured 2/3 of a liter of water into a cup and 3/10 of a liter of water into a jar. Which comparisons are true about the amounts of water the scientist poured?
Answers
The inequality comparison is 2/3 > 9/30
How to determine the inequality comparisonTo compare the amounts of water poured into the cup and the jar, we can convert both fractions to a common denominator.
The least common multiple of 3 and 10 is 30, so we can rewrite the amounts of water poured as:
2/3 of a liter = 20/30 of a liter3/10 of a liter = 9/30 of a literNow we can compare these fractions using inequality symbols:
20/30 is greater than 9/30
20/30 > 9/30 : This is true because 20/30 (or 2/3) is greater than 9/30 (or 3/10).
This means that
2/3 > 9/30
Hence, the true inequality comparisons is 2/3 > 9/30
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how do you put 300,000+10,000+6,000+20+9
Answers
Answer:
three hundred thousand plus ten thousand plus six thousand plus twenty plus nine
Step-by-step explanation:
300,000 → three hundred thousand
10,000 → ten thousand
6,000 → six thousand
20 → twenty
9 → nine
+ → plus
Now put everything together.
Best of Luck!
Type < or > to make this statement true -a___-b
Answers
The comparisons that are true are 11. -5 < 0 12. 9 > -8 14. 55 > -75 15. -32 < -24 16. 89 > 73 17. -58 < -51 19. 17 < 23 20. 18 > -36 and that is not true are 13. -7 = -7 (not true) 18. -32 > 4 (not true)
To make each statement true, write < or >. We need to compare two values for each statement to determine whether it is true or false.
To indicate that the first value is less than the second value, write <.
Alternatively, to indicate that the first value is greater than the second value, write >.
Below are the comparisons: 11. -5 < 0 12. 9 > -8 13. -7 > -7 14. 55 > -75 15. -32 < -24 16. 89 > 73 17. -58 < -51 18. -32 > 4 19. 17 > 23 20. 18 > -36
To determine the direction of inequality, we need to compare the values.
We used inequality signs such as > (greater than) or < (less than) to indicate which value is larger or smaller than the other.
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The correct question would be as
Write > or < to make each statement true.
11. -5 0
12. 9 -8
13. -7 7
14. 55 -75
15. -32 -24
16. 89 73
17. -58 -51
18. -32 4
19. 17 23
20. 18 -36
Simplify the expression 3x + 14x + 35 + 2
Answers
Answer:
17x + 37
Step-by-step explanation:
looked it up