As per the rational root theorem, the actual root of the polynomial is - 5/2
The term polynomial refers the algebraic expression in which the exponents of all variables should be a whole number
Here we have given that f(x) = 6x⁴ + 5x³ – 33x² – 12x + 20. and we need to find which is an actual root of f(x).
In order to find the root for the polynomial we have to apply each value as the replacement of x in the polynomial.
And then we have to find in which one makes the polynomial result as zero.
First we have to take the value of x as -5/2, then the polynomial equation be like,
Here we have to substitute x=-5/2, then we get
=> f(-5/2) = 6(-5/2)⁴ + 5(-5/2)³ - 33(-5/2)² - 12(-5/2) + 20
=> f(-5/2) = 6(625/16)-5(125/8)-33(25/4)+30+20
when we simplify this one then we get,
=> f(-5/2)=(1,875-625-1,650+400)/8
=> f(-5/2)=0/8
Here we know that if we zero by any number we get the result as zero.
Therefore, f(-5/2)=0 then x=-5/2 is a root of f(x)
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Answer:
its A
Step-by-step explanation:
Just took the test
What is the slope of the line containing the points (-4,-6) and (3,-4)
Answer:
got you right now
Step-by-step explanation:
the slope is -2\3
21) Which expression is equivalent to 6(7x − 4)? A) 13x − 10 B) 13x − 24 C) 42x − 10 D) 42x − 24
Answer:
Answer is D) 42x − 24
Step-by-step explanation:
Opening the expression given in question
6(7x − 4)
6 will be multiplied by both items present inside parenthesis.
it can be written as
={(6 * 7x) - (6*4)}
=42x-24
Hope that clears the question.
Almost 9 over 11 of the total electricity supplied to a town is used in farms and houses. Determine the decimal equivalent of 9 over 11. I know the answer is 81 I just need to know why it is a repeating decimal?
Answer:
Cuz the number after the decimal repeats
Step-by-step explanation:
A student is 90 cm tall and growing at a rate of 3 cm per month. At this rate, in how many months will the student grow to a height of 132 cm?
Answer:
14 months
Step-by-step explanation:
14x3=42
42+90= 132
Can someone help me with this equation?
Answer:
so far i think 9 but that's all I know for how
Step-by-step explanation:
image them turning into triangles
What is the area of the parallelogram shown below?
Answer:
135 units square
Step-by-step explanation:
The area of a parallelogram is calculated by multplying height and base
The height of the given shape is 15 units and the base is 9 units
15 × 9 = 135 units square.
Find the slope of each line.
Answer:
C) 1
Step-by-step explanation:
Slope = change in y over change in x
In the graph shown as y goes up 1 x goes up 1
so slope = 1/1 or 1
The slope equation is y=mx+b.
b is where the line crosses on the y axis, also known as the y-intercept.
m is the slope, which you are trying to find.
y and x are the points on the graph.
The slope is 3/3, which can be turned into 1, so the answer is c.
Write an equation of the parabola with focus (0, -3) and vertex at the origin. Use z for the independent variable.
Answer:
z^2 = -12y
or y = -(z^2/12)
Step-by-step explanation:
Answer:
z^2 = -12y
Step-by-step explanation:
Given the vertex at origin;
This is same as (0,0)
The focus (0,-3)
The general form is;
(z-h)^2 = 4p(y-k)
(h,k) is the vertex (0,0); so h = 0 and k = 0
The focus is given as;
(h,k + p)
so ;
k + p = -3
but k =0
so p = -3
Thus, the equation of the parabola is;
(z-0)^2 = 4(-3)(y-0)
z^2 = -12y
Hellllppp “Jason states that ^ABC = ^RST. Kelley states that ^ABC = ^TSR. Which best describes the accuracy of the congruency statements?
Answer:
the answer is C
Step-by-step explanation:
i just took the test
Answer:
C. Both statements could be correct. RST could be the result of two translations of ABC. TSR could be the result of a reflection and a translation of ABC.
Step-by-step explanation:
Right on ED2021
Write and solve the equation for t to find when
there is 200 gallons of water in the tub.
Answer:
t = 10 minutes
Step-by-step explanation:
200 = 600 - 40t
-400 = -40t
t = 10
The table shows some ordered pairs that belong to a quadratic function.
Answer:
A. Y ≤ 4.
Step-by-step explanation:
This opens downwards and has a maximum at f(x) = 4.
Angles in circle solve for each variable
Answer:
x degree = 112 degree
Step-by-step explanation:
let the intersecting point of two cords be O.
then arc QR = angle QOR
which means ; 68 degree = angle QOR
Now,
angle QOR + angle POQ = 180 degree ( linear pair )
or, 68 degree + angle POQ = 180 degree
hence, angle POQ = 112 degree,.
NEED HELP QUICK!!!!! A set of data includes the point (17,3.8) and has the regression equation y=-25x+436. What is the residual for this point
Given:
The regression equation is:
[tex]y=-25x+436[/tex]
The given point is (17,3.8).
To find:
The residual for the given point.
Solution:
We have,
[tex]y=-25x+436[/tex]
Substituting [tex]x=17[/tex], we get
[tex]y=-25(17)+436[/tex]
[tex]y=-425+436[/tex]
[tex]y=11[/tex]
The predicted value at [tex]x=17[/tex] is 11.
The given point is (17,3.8). It means the observed value at [tex]x=17[/tex] is 3.8.
Formula for residual:
Residual = Observed value - Predicted value
Residual = [tex]3.8-11[/tex]
Residual = [tex]-7.2[/tex]
Therefore, the residual for the given point is -7.2.
e) What does the value of the mean absolute deviation tell you about the spread of the data? (2 points)
Answer:
The mean absolute deviation of a dataset is the average distance between each data point and the mean. It gives us an idea about the variability in a dataset. ... Step 2: Calculate how far away each data point is from the mean using positive distances.
Mean deviation is defined as how much is each element of the data is far away from the mean of the data.
What is mean in statistics?We can define the mean of the given data set as the average of all the numbers. Mathematically, we can write mean as -
M = ∑x{i}/n
Given is to discuss what does the value of mean absolute deviation tell about the spread of the data.
Mean deviation is defined as how much is each element of the data is far away from the mean of the data. Mathematically, we can write mean deviation as -
[tex]$\frac {1}{n} \sum \limits_{i=1}^n |x_i-m(X)|[/tex]
where -
m(X) = average or mean value(n) = number of data elements in the data setx(i) = data valuesTherefore, Mean deviation is defined as how much is each element of the data is far away from the mean of the data.
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Each table represents a proportional relationship.
I NEED HELPPP
Solve the equation.
- 9/4v + 4/5 =7/8
Answer:
-1/30
Step-by-step explanation:
Please help if you would like brianleist!!!
need help today!!!! plzs
Answer:
x=29
Step-by-step explanation:
cuz it's a 90 degree angle so 90-32 is 58 and divide it by 2 is 29 which would be x=29
can someone please help me on numbers 5-10 and please show and explain your work HELP THIS IS DUE SOON thxs uwu
Answer:
hi bri
Step-by-step explanation:
can someone please help me on this problem.
1. Value-Mart is advertising a Back-to-School sale on pencils. A pack of 24 sells
for $4.99, whereas a pack of 12 sells for $3.23. Which is the better buy? How do
you know?
Answer:
24 because you get more pencils to use in case one breaks.
I dont know how to do any of this help me pls
Get 180, then subtract every angle you see in the diagram and you'll get your answer.
The difference of the two numbers is 3 their sum is 13 find the numbers please help
Answer:
2x-3=13
2x=13+3
2x=16
2x/2=16/2
x=8
Answer:
first number is 8
second number is 5
Step-by-step explanation:
An company charges an initial fee of $350, plus $50 for each additional service added.
Which function can be used to find y, the total amount a customer would pay after n services were added.
Answer:
Y=250+50n
Step-by-step explanation:
Well since y in this case is total cost that is basically (f) the function range.
The domain in this case is the 250 one time fee and the 50 buks per services.
Tom earns $16 a week mowing lawns. He spends 1 4 of his earnings on lunch and 1 2 of his earnings on music. He saves the rest. How many dollars does Tom save? Tell how you found the answer
Answer:
32 dollars
Step-by-step explanation:
I think the answer is $32 because 14-12 is 2 and if you multiply 16 times 2 that's how I got the answer. I could be wrong I am sorry if I am.
What is the commission rate for a car salesman who earned $1500 in commission on a 25,000 car?
Answer:
6%.
Step-by-step explanation:
Find the value for a.
Answer:
a = 25
Step-by-step explanation:
The exterior angles of a polygon sum to 360°
Sum the exterior angles and equate to 360
a + a + 40 + 51 + 55 + 54 + 2a + 60 = 360, that is
4a + 260 = 360 ( subtract 260 from both sides )
4a = 100 ( divide both sides by 4 )
a = 25
please dont put any links
can someone help me please ?
Answer:
-5/-3
Step-by-step explanation:
first y intercept=
-5/-3
Find the area of the shape.
Answer:
27π
Step-by-step explanation:
A = πr²
= π(6)²
=36π
You want 3/4 of the circle
(3/4) 36π = 27π