Using synthetic division, how do you know if a given value is a root of a polynomial function?
Final answer:
A given value is a root of a polynomial function if, after using synthetic division, the remainder is zero. The remainder is found in the last position of the bottom row after performing synthetic division with the given value.
Explanation:
To determine if a given value is a root of a polynomial using synthetic division, follow these steps:
Write down the coefficient of the polynomial.
Place the value you want to test for being a root (let's call it 'c') to the left of the coefficients.
Bring down the leading coefficient to the bottom row.
Multiply 'c' by the value you just brought down and write the result underneath the second coefficient.
Add the second coefficient to the product you just wrote down and write the sum in the bottom row.
Repeat the multiplication and addition process until you reach the end of the row.
If the last number in the bottom row, which represents the remainder, is zero, then 'c' is a root of the polynomial. If the remainder is not zero, 'c' is not a root.
Understanding how to perform such operations is essential, especially when dealing with complex equilibrium problems where square roots, cube roots, or higher roots come into play. If unsure about carrying out these operations, particularly on a calculator, it is advisable to seek assistance from your instructor.
Someone please help!!
Of 480 students in a high school, 180 were in ninth year. What percent of the students in the school were in the ninth year
180/480 =0.375
0.375 = 37.5%
so 37.5% of kids are in 9th grade
Which equation represents a linear function that has a slope of 4/5 and a y-intercept of –6?
Answer:
y = 4/5x-6
Step-by-step explanation:
Edge 2020
What is 3 divided by 363
The calculated average of a data set best describes which of the following
A: Mean
B: Median
C:Mode
D:Mean Absolute Deviation
What is 64,005,874 in word and expanded form and 30,679,100
Which scenario best matches the linear relationship expressed in the equation y = 32x + 80? (4 points)
a. Joseph has $80 in his bank account and spends $32 each day.
b. Joseph has $80 in his bank account and earns $32 each day.
c. Joseph had $32 in his bank account and deposited another $80.
d. Joseph has $32 in his bank account and earns $80 each day.
what is an equivalent ratio
Two ratios that are equivalent means that they are equal to each other.
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heartbeat takes 0.8 seconds.how many seconds is this written as a fraction?
what is the circumference of a circle
the circumference is the distance around the outside of a circle.
If you know the radius you can use the formula
circumference = 2 x PI x radius
The table shows the price of bagels at two different stores: Store Price Bagels Bagel Stop $6.00 15 bagels Yummy Bagels $14.00 35 bagels' Yummy Bagels sells bagels at a lower unit price than Bagel Stop. True False
Find an equation in standard form for the hyperbola with vertices at (0, ±10) and asymptotes at y = ±5/6x.
Is it possible for two different inputs to give you the same output? Justify your answer please.
Gabriel drives 80 kilometers in one hour. if he drives at the same speed, how many kilometers can he drive in 3.75 hours?
What is twice 2 to the 30 power? Write in exponents. Explain your reasoning
Show work please. If you need to
dishwasher:
1200*0.15 = 180
1200-180 =$1,020
area:
middle section 6x6 = 36
left triangle 6*6*0.5 = 18
right triangle Area=base x height/2 = 6x6/2 = 18
36 +18 +18 =
72 in^2
I REALY NEED HELP!
A kite’s diagonals WY and ZX intersect at point V. Which of the following are true? Select all that apply.
1.)∠WVX = 90°
2.)∠ZVY = 90°
3.)WY is parallel to ZX
4.)WY is perpendicular to ZX
5.)WY = ZX
Answer: The correct options are
(1)∠WVX = 90°,
(2) ∠ZVY = 90°
and
(4) WY is perpendicular to ZX .
Step-by-step explanation: Given that WY and ZX are the diagonals of a kite that intersect at the point V.
We are to select the correct statements from the given options.
KITE: A quadrilateral having adjacent sides congruent and the diagonals bisect each other perpendicularly.
As shown in the attached figure, WY and ZX are the diagonals of the kite WZYX.
Since WY and ZX intersect at the point V, so they will bisect each other perpendicularly.
That is, WY is perpendicular to ZX. And, also
∠WVZ = ∠WVX = ∠ZVY = ∠XVY = 90°.
Since WZ is perpendicular to ZX, so they cannot be parallel.
Also, since the diagonals of a kite may not be equal, so WY ≠ ZX.
So, options (3) and (5) are incorrect.
Thus, the correct options are
(1)∠WVX = 90°,
(2) ∠ZVY = 90°
and
(4) WY is perpendicular to ZX .
Please Help...................
Find the percent of discount. Round to the nearest tenth. original price $24,365; selling price $16,820
Answer:
The percentage of discount is 31.0 % ( approx )
Step-by-step explanation:
Given,
The original price = $ 24,365
Selling price = $ 16,820
Thus,
[tex]\text{The percentage of discount}=\frac{\text{Original-Selling price}}{\text{Original price}}\times 100[/tex]
[tex]=\frac{24365-16820}{24365}\times 100[/tex]
[tex]==\frac{7545}{24365}\times 100[/tex]
[tex]=\frac{754500}{24365}[/tex]
[tex]=30.9665503796\%[/tex]
[tex]\approx 31.0\%[/tex]
The table below shows the radius y, in inches, created by growing algae in x days: Time (x) (days) 5 10 15 20 Radius (y) (inches) 1 3 9 22 Part A: What is the most likely value of the correlation coefficient of the data in the table? Based on the correlation coefficient, describe the relationship between time and radius of the algae. [Choose the value of the correlation coefficient from 1, 0.94, 0.5, 0.02.] (4 points) Part B: What is the value of the slope of the graph of radius versus time between 5 and 10 days, and what does the slope represent? (3 points) Part C: Does the data in the table represent correlation or causation? Explain your answer. (3 points)
The
6
students in Mrs. Flores' class were asked how many minutes it takes them to get to school in the morning. Here is what they answered:
7, 10, 16, 8, 5, 13
Find the mean and median travel times for these students.
If necessary, round your answers to the nearest tenth.
What is the relationship between the 6's in the number 6647
Triangle ABC is a right triangle
The length of BC is 5 units.
The area of ABC is ____ square units.
Answer:
50 square units.
Step-by-step explanation:
Given in the picture is a right angled triangle
The coordinates of A are (-9,10) and B are (7,-2) and C is (4,-6)
Given that BC = 5 units
AB = distance between A and B
=distance between two points (-9,10) and (7,-2)
=[tex]\sqrt{(-9-7)^2+(10+2)^2} =\sqrt{256+144} \\=20[/tex]
Thus if we consider BC as base then AB is the height
Area of triangle = 1/2 bh = 1/2 (5)(20)
= 50 square units
The area of the triangle is: 50 square units.
What is the Area of a Triangle?Area of a triangle = 1/2(base × height).
Given right triangle ABC:
Base = BC = 5 units
Height = AB = ?
Using the distance formula, [tex]d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex] to find AB:
Let,
A(-9, 10) = (x1, y1)
B(7, -2) = (x2, y2)
Thus:
[tex]AB = \sqrt{(7 -(-9))^2 + (-2 - 10)^2}\\\\AB = 20 $ units[/tex]
Area of triangle = 1/2(5 × 20) = 50 square units.
Learn more about the area of triangle on:
https://brainly.com/question/21735282
Help!
Which of the following is not a condition for a tessellation?
The shape or shapes must be repeated.
The shapes must not overlap.
There can be no gaps.
The shapes must be polygons.
Answer:
The shapes must be polygons.
Answer:
The shapes must be polygon
Step-by-step explanation:
did a test that was the answer, also if ur looking up answers for a test look them all up cuz im not big brain and a got a 72 thinking i was smart and knew how to do the questions
John and Jim painted a
fence John painted 1/4 of the fence and Jim painted 5/12 of the fence how much of the offense did they paint total
find the greatest common factor of each set of numbers 24,30,42
7,005.9 rounded to the nearest one
HELP PLEASEEE I WILL GIVE BRAINLIEST ANSWER!!!!!!!!!!
The dot plot shows how many attempts it took for each student to complete a puzzle:
Is the median or the mean a better measure of center for these data and why?
Mean, because the data are skewed and there are outliers
Mean, because the data are symmetric and there are no outliers
Median, because the data are skewed and there are outliers
Median, because the data are symmetric and there are no outliers
Answer: Mean, because the data are symmetric and there are no outliers.
Step-by-step explanation:
The given dot plot shows how many attempts it took for each student to complete a puzzle.
From the given dot plot, we observe that it has no outlier and the data is symmetric.
Therefore , the mean is a better measure of center for these data because mean the data are symmetric and there are no outliers .
"If a data is skewed or has outliers, then we choose median to measure the center of data over mean."