Which transformation can verify congruence by sliding one triangle over another
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.
At a snack shop, Julie bought 1/3 of a pound of jelly beans for three quarters. What is the unit price of jelly beans at the snack shop?
A commuter has $245 in his commuter savings Account. This account changes by -$15 each week he buys a ticket.
A- if the account changes by -$240, for how many weeks of tickets did the commuter buy?
B- if the commuter wants to buy 20 weeks of tickets, how much must he add to his accoumt?
Someone please help!!
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.
x-1=5x+3x-8
help this confused child
Please Help...................
The calculated average of a data set best describes which of the following
A: Mean
B: Median
C:Mode
D:Mean Absolute Deviation
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."
The graph below shows a system of equations:
Draw a line labeled y equals 2x minus 5 by joining the ordered pairs 0, negative 5 and 4, 3. Draw a line labeled y equals negative x minus 2 by joining the ordered pairs negative 3,1 and 3, negative 5
The x-coordinate of the solution to the system of equations is __________.
The x-coordinate of the solution to the system of equations is 1 unit.
What is a system of equations?"A 'system' of equations is a set or collection of equations that you deal with all together at once. Linear equations (ones that graph as straight lines) are simpler than non-linear equations, and the simplest linear system is one with two equations and two variables."
"A solution for a single equation is any point that lies on the line for that equation. A solution for a system of equations is any point that lies on each line in the system."
Since, the given equation are
[tex]y = -x - 2[/tex] ----------------------- eq 1
and [tex]y = 2x - 5[/tex] -------------------eq 2
now solving them,
subtracting eq 2 from eq 1
we get,
3x = 3
x = 1 and y = -3
Hence, the x-coordinate of the solution to the system of equations is 1 and y coordinate is -3.
To know more about system of equation here
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what is an equivalent ratio
Two ratios that are equivalent means that they are equal to each other.
Find an equation in standard form for the hyperbola with vertices at (0, ±10) and asymptotes at y = ±5/6x.
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
What is twice 2 to the 30 power? Write in exponents. Explain your reasoning
find the greatest common factor of each set of numbers 24,30,42
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 .
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 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
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]
A wooden plank of length x is cut into 8 sections such that each section is at most 2 1/2 meters long. What is the length of the entire plank in meters?
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
heartbeat takes 0.8 seconds.how many seconds is this written as a fraction?
I really need help! come ASAP!!!
A sporting goods store buys a basketball for $15.00 and then adds a 75% markup to the price. How much will the basketball sell for in the store?
Is it possible for two different inputs to give you the same output? Justify your answer please.
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
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.
Gabriel drives 80 kilometers in one hour. if he drives at the same speed, how many kilometers can he drive in 3.75 hours?