Answer:
1. The possible roots are ±1, ±2, ±3, ±6. These are the factors of the trailing constant (6) divided by the factors of the leading coefficient (1). When the leading coefficient is 1, the possible roots are the factors of the constant
2. The polynomial is easier to evaluate when it is written in Horner form:
f(x) = ((x -4)x +1)x +6
To show that 2 is a zero, we want to find f(2):
f(2) = ((2 -4)2 +1)2 +6 = (-4 +1)2 +6 = -6 +6 = 0
f(2) = 0, so 2 is one of the zeros of this function
3. Using synthetic division (attached) or polynomial long division, we can divide the given polynomial by (x-2) to find the remaining factors. This division gives (x^2 -2x -3), which can be factored as (x -3)(x +1), so the three actual roots are ...
x = 2 (from above), x = 3, x = -1 (from our factorization)
4. In factored form, the polynomial can be written ...
f(x) = (x +1)(x -2)(x -3)
The first factor was found from the fact that 2 was given as a zero of the function. For any zero "a", a factor of the polynomial is (x-a).
The remaining factors were found by factoring the quadratic trinomial that resulted from the division of f(x) by x-2. That trinomial is x^2 -2x -3.
There are a number of methods that can be used to factor x^2 -2x -3. Again, the rational root theorem can help. It suggests that ±1 and ±3 are possible roots.
Show that (1 + 2V3)2 = 13 +4V3
Answer:
(1+2V3)^2=13+4V3
<=> 1 +4V3 +12 = 13+4V3
<=> 1 +12 = 13
<=> 13=13
sorry if i wrong :(
Does anyone know this?
Answer:
Simple as 3x + 1
help pelase i need help
Answer:
:P
Step-by-step explanation:
:P
What property of addition is illustrated in the equation below.
What is the solution to the equation?
--23 = x – 18
х
Enter your answer in the box.
Answer:
x=-5
Step-by-step explanation:
move the x to the other side. Then move the - 23. you get -x=5
you divide by -1 and you get x=-5
Step-by-step explanation:
Given equation,
-23 = x - 18
⇛-23 + 18 = x
⇛ -5 = x
⇛x = -5 Ans.
Hence, the value of "x" is -5.
Find the perimeter of this figure to the nearest hundredth
Answer:
The perimeter of given figure = 56.56 ft
Step-by-step explanation:
Step(i):-
From diagram
The length of the rectangle = 10 ft
The width of the rectangle = 8 ft
Perimeter of the rectangle
= 2 ( l+w)
= 2 ( 10 + 8)
= 2 × 18
= 36
Step(ii):-
The semi circle is included in the given diagram
Now we will find the perimeter of semicircle
We know that
perimeter of the circle
p = 2πr + d
perimeter of the semicircle
P = πr + 2 r (∵ d = 2 r)
Step(iii):-
From diagram the diameter of semicircle is equal to the width of the rectangle
d = 8
d = 2 r = 8
The radius of the circle 'r' = 4
perimeter of the semicircle
P = πr + 2 r
P = 3.14 ( 4) + 8
P= 20.56
Conclusion:-
The perimeter of given figure
= perimeter of rectangle + perimeter of semicircle
= 36 + 20.56
=56.56 ft
a
A consultant earns a flat fee of $75 plus $50 per hour for a contracted job.
The table shows the consultant's earnings for the first four hours she works.
Hours 0 1 2 3 4
Money $75 $125 $175 $225 $275
The consultant has a 36 hour contract .how much will she earn
Step-by-step explanation:
y=75+50(36 hours)=1875
give me brainliest
Let p and q Represent the following statement
Answer:
symbolic representation :negation q (~q)
plz mark me brinest
HELP I DONT WANT A 0000
Step-by-step explanation:
=(5+8)hours
=12hours.
put the boxes in the correct place given equation is first to let you know
OMG I NEED HELP BADLY RN
In which quadrant does the point (3 , 19) lie?
A.
Quadrant I
B.
Quadrant II
C.
Quadrant IV
D.
Quadrant III
Answer:
Quadrant I
Step-by-step explanation:
There are four quadrants that go like this.
Quadrant I = Top Right
Quadrant II = Top Left
Qudrant III = Bottom Left
Quadrant IV = Bottom Right
As long as you can graph an equation you just need to remember the quadrants.
fay has a lemonade stand. She spends £25 on ingredients. She sells each glass of lemonade for £1.50. If she sells 40 glasses of lemonade, what is her total profit?
How much work is done lifting a 100 Newton book onto a shelf that is 2 meters high on Earth?
We want to find the work done by lifting a book a given distance.
The answer is 200 N*m
We know that the book weighs 100 Newtons and that we lift it a distance of 2 meters.
Remember that the work needed to lift an object of mass M to a height H is:
W = M*g*H
where g is the gravitational acceleration.
Knowing that:
weight = M*g
We can replace the things we know to get the work:
W = 100N*2m = 200 N*m
If you want to learn more, you can read:
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Please he.l I got 10 min
Answer:
B
Step-by-step explanation:
the line pass through the point (2.52) and (14.78)
So k= 78-52 =26 =
4-2 =2
The location of the
circumcenter of TrIangle ABC is:
A. Point D
B. Point E
C. Point F
Answer:
it'd be F
Step-by-step explanation:
just did it on my acellus
The location of the circumcenter of triangle ABC is at ''Point D.''
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
We have to given that;
The triangle ABC is shown in figure.
Now,
We know that;
The circumcenter of the triangle is the point at which the distance between the vertices with the circumcenter is equal to each other.
In figure ABC;
⇒ AD = BD = CD
So, The circumcenter of triangle ABC is at point D.
Learn more about the triangle visit:
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use the numbers -4,-1,3/2 or 2/3 to write an expression brainly
Answer:
4x1 divide 2 minus 3 plus 2
Step-by-step explanation:
I think
A well-defined collection of elements is a(n)
Answer:
A well-defined collection of elements is a set.
HELP MME WITH THIS PLEASE
Answer:
0.84
Step-by-step explanation:
21/25 is equal to 0.84.
Hopefully this helps!
Brainliest please?
Find YZ and XY so I can put em in the boxes :)
Answer:
........................
Sophia wants to buy a new bike that cost $214.Sophia helps her grandmother with chores each week for $18.estimate to find which layaway plan Sophia should choose and why
Answer:
Im not sure what your asking but I think it's How many weeks it will take for her to be able to buy the bike It will take 12 weeks 18 x 12 = 216 which means she will have 2 dollars left over when shes buys it aswell.
Answer:$394
Step-by-step explanation:
In a stationery design, the number of ovals is proportional to the number of squares. How many squares will there be when there are 75 ovals?
When there are 75 ovals, there are
?/?
Answer:
75 squares
Step-by-step explanation:
ovals is proportional to the number of squares
75 ovals = 75 squares * constant of proportionality ( this could be any number)
so for 75 ovals we can have
75 squares ,
or 2*75 = 150 squares ,
or we could have .6 *75 = 45 squares
Answer:
75 squares
Step-by-step explanation:
ovals is proportional to the number of squares
75 ovals = 75 squares * constant of proportionality ( this could be any number)
so for 75 ovals we can have
75 squares ,
or 2*75 = 150 squares ,
or we could have .6 *75 = 45 squares
If your starting salary is 40,000 and you receive a 3% increase at the end of every year, what is the total amount, in dollars, you will earn over the first 16 years that you work?
Answer:
$64188.26
Step-by-step explanation:
→ Calculate the increase in decimal multiplier
( 100 + 3 ) ÷ 100 = 1.03
→ Multiply this by the salary raised to the power of 16
40000 × ( 1.03 )¹⁶
→ Solve
$64188.26
Answer:
$806275
Step-by-step explanation:
type it exactly like that, ap*x
Which will have a higher effective interest rate - a payday loan for $1500 that
is due in 12 days with a fee of $90, or a payday loan for $1500 that is due in
10 days with a fee of $90?
а
a
O A. A payday loan for $1500 that is due in 12 days with a fee of $90,
since it has the longer period
O B. A payday loan for $1500 that is due in 12 days with a fee of $90,
since it has the shorter period
о
C. A payday loan for $1500 that is due in 10 days with a fee of $90,
since it has the longer period
D. A payday loan for $1500 that is due in 10 days with a fee of $90,
since it has the shorter period
The higher effective interest rate is for A payday loan for $1500 that is due in 10 days with a fee of $90, since it has the shorter period, the correct option is B.
What is Interest Rate?An Interest Rate is the rate at which a person either takes a loan, or a person lends money to somebody.
The interest rate is different for different types of loans, some interests are simply calculated on the principal, called as Simple Interest while some are calculated on both the principal and the interest, called as Compound Interest.
A payday loan has principal of $1500
It is due in 12 days, so time period is 12 days.
The interest amount is $90
I = P * R *T / 100
90 = 1500 *12 *R /100
R = 0.5 %
A payday loan has principal of $1500
It is due in 10 days, so time period is 10 days.
The interest amount is $90
90 = 1500 *10 *R /100
R = 0.6 %
The rate of interest is more for a payday loan for $1500 that is due in
10 days with a fee of $90.
Hence, the correct answer is A payday loan for $1500 that is due in 10 days with a fee of $90, since it has the shorter period, the correct option is B.
To know more about Interest Rate
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3,047.092 in expanded form.
Answer:
it would be-3,000.000+40.000+7.00+0.09+0.002
Step-by-step explanation:
please help will give brainliest
options are
w=v/lh
w=lh/v
w=vl/h
w=vm/l
Answer:
B
Step-by-step explanation:
Answer
BBBBBBBBBBBBBBB
Step-by-step explanation:
1/2 to the power of 4
Answer: 1/16 because 1 to the power of anything is the same. 2 to the power of 4 is 16 so 1/16
Answer:
⅛...yo pienso pq creo va de 4 en cuatro
there are 270 sixth grade students and 45 chaperones going on a field trip. how many students will be with each chaperone if the groups are divided equally.
Answer:
6
Step-by-step explanation:
270 divided by 45
=6
Suppose a car travels at a rate of 60 miles per hour for 3 hours. How many miles does the car travel?
UPDATE IM DUM IT 180
Answer:
thanks
Step-by-step explanation:
Graph and find the area of the figure with vertices (−3, −2), (−2, 1), (1, 1), (0, −2).
Answer:
9 unit²Step-by-step explanation:
The points are plotted and the figure is a parallelogram with base and height both of 3 units long.
The area is:
A = 3*3 = 9 unit²MATH PLEASE HELP!!!!!!!!