According to the Rational Root Theorem, -2/5 is a potential rational root of which function? ) = 4x4.72#*#25 O Foxo = 9x47x+10 OF) = 10x - 729 Fox) = 25x4.72
Answers
Answer:
Option (4)
Step-by-step explanation:
Option (1)
f(x) = 4x⁴- 7x²+ x + 25
Possible rational roots will be,
[tex]\frac{\pm \text{Factors of constant term '25'}}{{\pm \text{Factors of leading coefficient '4'}}}[/tex]
For the given function,
Possible rational roots = [tex]\frac{\pm 1, 5, 25}{\pm 1,2}[/tex]
= [tex]\pm 1, \pm 5, \pm 25, \pm \frac{1}{2},\pm\frac{5}{2},\pm\frac{25}{2}[/tex]
Therefore, [tex]-\frac{2}{5}[/tex] is not the possible root.
Option (2)
f(x) = 9x⁴- 7x²+ x + 10
Possible rational roots = [tex]\frac{\pm 1,\pm 2,\pm 5,\pm10}{\pm 1,\pm3,\pm9}[/tex]
Therefore, [tex]-\frac{2}{5}[/tex] is not the possible root.
Option (3)
f(x) = 10x⁴- 7x²+ x + 9
Possible rational roots = [tex]\frac{\pm1, \pm3, \pm9}{\pm 1,\pm2,\pm5,\pm10}[/tex]
Therefore, [tex]-\frac{2}{5}[/tex] is not the possible root.
Option (4)
f(x) = 25x⁴- 7x²+ x + 4
Possible rational roots = [tex]\frac{\pm 1,\pm2,\pm5}{\pm1,\pm5,\pm 25}[/tex]
= [tex]\pm1,\pm2,\pm5,\pm\frac{1}{5},\pm\frac{1}{25},\pm\frac{2}{5},\pm\frac{2}{25}[/tex]
Therefore, [tex]-\frac{2}{5}[/tex] is the possible rational root.
Option (4) will be the answer.
Related Questions
7. Mandy has a total of 150 nickels and
dimes, which amount to $12. How
many
of each coin does she have?
Answers
Answer:
100 dimes and 50 nickels
Step-by-step explanation:
5×50=2.00
10×100=10.00
plzz help............
Answers
Answer:
14. (8,9,10)
15.no(A)
this is the answer
A
2
The distance AB
rounded to the
nearest tenth = [?]
-1
0
2
2
-
Hint: Use the distance formula:
d= (x2 – x1)2 + (72- y)2
Enter
Answers
Answer:
ssueuwuwiaiwaiaiiaiw
mich inequalities are true?
√5 <2.3 < 56
√5 <2.4 < 56
74 < 5 5.5
√3 <3 <3
V8 <2.9
√A <4.5 < 5
Which sets of inequalities are true
Answers
Answer:
[tex](a)\ \sqrt5 <2.3 < 5.6[/tex]
[tex](b)\ \sqrt 5 <2.4 < 5.6[/tex]
[tex](e)\ \sqrt 8 <2.9[/tex]
[tex](f)\ \sqrt5 <4.5 < 5[/tex]
Step-by-step explanation:
Required
Which are true
[tex](a)\ \sqrt5 <2.3 < 5.6[/tex]
Take square root of 5
[tex]2.2 <2.3 < 56[/tex] --- This is true
[tex](b)\ \sqrt 5 <2.4 < 5.6[/tex]
Take square root of 5
[tex]2.2 <2.4 < 56[/tex] --- This is true
[tex](c)\ 7.4 < 5 <5.5[/tex]
This is false because [tex]7.4 > 5[/tex]
[tex](d)\ \sqrt 3 <3 <3[/tex]
This is false because [tex]3 = 3[/tex] not [tex]3 < 3[/tex]
[tex](e)\ \sqrt 8 <2.9[/tex]
Take square root of 8
[tex]2.8 <2.9[/tex] --- This is true
[tex](f)\ \sqrt5 <4.5 < 5[/tex]
Take square root of 5
[tex]2.2 <4.5 < 5[/tex] --- This is true
What is the vertex of the function f(x) = x2 + 12x?
(–6, –36)
(–6, 0)
(6, 0)
(6, –36)
Answers
Answer:
(- 6, - 36 )
Step-by-step explanation:
Given a parabola in standard form
y = ax² + bx + c ( a ≠ 0 )
Then the x- coordinate of the vertex is
x = - [tex]\frac{b}{2a}[/tex]
f(x) = x² + 12x ← is in standard form
with a = 1, b = 12, c = 0 , then
x = - [tex]\frac{12}{2}[/tex] = - 6
Substitute x = - 6 into f(x) for corresponding value of y
f(- 6) = (- 6)² + 12(- 6) = 36 - 72 = - 36
vertex = (- 6, - 36 )
Answer:
A: (-6, -36)
Step-by-step explanation:
This should be the right answer on edge,
please correct me if I'm wrong.
find the area of the Shaded sector. round to the nearest hundreds place
HELP!!! ASAP
Answers
Answer:
[tex]192.27\:\mathrm{cm^2}[/tex]
Step-by-step explanation:
The area of sector with radius [tex]r[/tex] and measure [tex]\theta[/tex] is give by [tex]A=r^2\pi\cdot \frac{\theta}{360^{\circ}}[/tex]. Since vertical angles are congruent, the two shaded sectors in the figure are congruent.
What we're given:
2 sectors of equal areaEach sector has a radius of 9 cmEach sector has a measure of 136 degreesTherefore, the area of the shaded regions (two sectors) is:
[tex]A=2\cdot 9^2\pi\cdot \frac{136}{360}=192.2654704\approx \boxed{192.27\:\mathrm{cm^2}}[/tex]
While she was on holiday,Olga measured the temperature at the same time every day. Here are the results. Work out the median: The range of the temperatures
Answers
Answer:
See Explanation
Step-by-step explanation:
The question is incomplete, as the required data are not given.
I will use the following data as an illustration of how to calculate median and range.
We have:
[tex]x: 11, 13, 14, 15, 18, 20[/tex]
Calculate range
Identify the highest and the least
[tex]Highest = 20[/tex]
[tex]Least = 11[/tex]
So, the range is:
[tex]Range = Highest -Least[/tex]
[tex]Range =20-11[/tex]
[tex]Range =9[/tex]
Calculate the median
The number of data we are using is 6 (i.e. even).
So, the position of the median item is:
[tex]Median =\frac{1}{2}(n+1)[/tex]
[tex]Median =\frac{1}{2}(6+1)[/tex]
[tex]Median =\frac{1}{2}*7[/tex]
[tex]Median =3.5th[/tex]
A decimal result implies that the median is the mean of the integer values before and after the result.
In this case, the median is the mean of the item at 3rd and 4th positions.
So:
[tex]Median = \frac{14+15}{2}[/tex]
[tex]Median = \frac{29}{2}[/tex]
[tex]Median = 14.5[/tex]
4.5c=9
C=
Pls help me
Answers
Answer:
c =2
Step-by-step explanation:
4.5c/4.5=9/4.5
c =2
Dndnfncjfnffnvn n nfjfjcn n nffjcn ndndjcn ncdncn nun n job chfj
how many ways can a person toss a coin 14 times so that tge number of tails is between 7 and 12 inclusive
Answers
Answer:
8 tails I think so If the answer is correct plz mark me the brainliest
Someone help please❤️ & Thankyou!!
Answers
Answers:
300 = 12i+36si = 10Yes it's reasonablei = -11Refer to the diagram below.
The explanation for each part is below as well.
========================================================
Part 1
i = number of individual nail polish bottles
s = number of sets of 4
12i = money earned from just selling the individual bottles only
36s = money earned from just selling the sets of 4 only
12i+36s = total money earned = 300
12i+36s = 300 is the equation to set up
This is the same as 300 = 12i+36s because A = B is the same as B = A.
========================================================
Part 2
Plug in s = 5 to represent she sold 5 sets. Let's solve for i
12i+36s = 300
12i+36(5) = 300
12i+180 = 300
12i = 300-180
12i = 120
i = 120/12
i = 10
If she wants to sell $300 worth of product overall, and she already sold 5 sets so far, then she needs to sell 10 individual bottles to reach this monthly goal.
========================================================
Part 3
Yes it's reasonable to reach this goal. This is because the value of i (from part 2) was some positive whole number.
========================================================
Part 4
We'll repeat part 2 but with s = 12
12i+36s = 300
12i+36(12) = 300
12i+432 = 300
12i = 300-432
12i = -132
i = -132/12
i = -11
As the instructions state, we get a negative value. This is not reasonable because we can't sell a negative number of items. A negative number of items in general doesn't make sense.
The instructions further state that $432 was already made and that she exceeded her goal. Meaning that she doesn't have to worry about selling the individual bottles if selling the sets has her reach something over $300.
will give brainliest !!PLSS HELP fast !! and explain
Answers
Answer:
C
Step-by-step explanation:
Difference means subtraction. That makes B incorrect.
D is wrong because we have no way of knowing if g and h are squares.
A is wrong because the numerical numbers (2 and 6) are not perfect squares. Even if you take out a 2 you are not left with numbers that are prefect squares.
That leaves with C which is the correct answer. The literals are perfect squares and so are the numbers.
Answer:
C
Step-by-step explanation:
list the integers satisfy the inequality -1 less than 2x - 5 less or equal to 5
Answers
Answer:
integers are { 3 , 4 , 5 }
Step-by-step explanation:
- 1 < 2x - 5 ≤ 5
- 1 + 5 < 2x - 5 + 5 ≤ 5 + 5 [ adding by 5 ]
4 < 2x + 0 ≤ 10
4 < 2x ≤ 10
2 < x ≤ 5 { divide by 2 ]
Therefore, integers are { 3 , 4 , 5 }
Solve for x. -16 = x/4 + 2
72
0 -32
O -72
O 32
Answers
Answer:
x = - 72
Step-by-step explanation:
Given
- 16 = [tex]\frac{x}{4}[/tex] + 2 ( subtract 2 from both sides )
- 18 = [tex]\frac{x}{4}[/tex] ( multiply both sides by 4 to clear the fraction )
- 72 = x
Answer is = - 72
It's a Right answer....
Mark me as brainliest....
Find the equation of a line that is parallel to y = x + 1 and passes through the point (3,-4).
Give your answer in the form y = mx + b.
Answers
Given:
The equation of a line is:
[tex]y=x+1[/tex]
A line is parallel to the given line and passes through the point (3,-4).
To find:
The equation of the line in the slope intercept form.
Solution:
The slope intercept form of a line is:
[tex]y=mx+b[/tex] ...(i)
Where, m is the slope and b is the y-intercept of the line.
We have,
[tex]y=x+1[/tex] ...(ii)
On comparing (i) and (ii), we get
[tex]m=1[/tex]
Slope of the given line is 1.
We know that the slopes of parallel lines are equal. So, the slope of the required line is 1.
The required line passes through the point (3,-4) with slope 1. So, the equation of the required line is:
[tex]y-y_1=m(x-x_1)[/tex]
[tex]y-(-4)=1(x-3)[/tex]
[tex]y+4=x-3[/tex]
Subtracting 4 from both sides, we get
[tex]y=x-3-4[/tex]
[tex]y=x-7[/tex]
Therefore, the equation of the required line is [tex]y=x-7[/tex].
What is the image point of (0,1) after the transformation D4 R90?
Please and thank you
Answers
Answer:
Image point → (-4, 0)
Step-by-step explanation:
Coordinate of a point → (0, 1)
Rule for the transformation has been given as,
D₄ o R₉₀
First use R₉₀ → Rotation of the point by 90° counterclockwise
Rule for the rotation of a point (x, y) by 90° counterclockwise about the origin,
(x, y) → (-y, x)
(0, 1) → (-1, 0)
Further use D₄ → Dilation of the point by a scale factor of 4 about the origin
If a point (x, y) is dilated by a scale factor 'k' about the origin rule for the dilation is,
(x, y) → (kx, ky)
By applying this rule,
(-1, 0) → (-4, 0)
Therefore, image point will be → (-4, 0)
Complete the equation of the line through (4,-8)(4,−8)left parenthesis, 4, comma, minus, 8, right parenthesis and (8,5)(8,5)left parenthesis, 8, comma, 5, right parenthesis. Use exact numbers. y=y=y, equals
Answers
Answer:
y=13/4 x -21
or in khan 13/4x - 21
GIMMIE BRAINLIEST OR SOMETHING
Work:
Slope = 5-(-8)/(8-4)
=13/4
So the equation is y=13/4x + b
plug it in and the equation is
y=13/4 x -21
Answer:
13/4 x-21
Step-by-step explanation:
:D
With a line 7 cm long. Use a set square and a ruler and draw perpendicular lines at both ends
Answers
Answer:
See Explanation
Step-by-step explanation:
According to the Question,
Steps of construction:
Step I - Draw a line segment AB = 7 cm with the help ruler. Step II - with vertex A, by using compass take more than half of AB and draw arcs, one on each side of AB. Step III - with vertex B, by using a compass with the same length, cut the previous arcs at X and Y respectively. Step IV - with help of the ruler join the points X and Y Thus XY is the perpendicular bisector of line AB.(For Diagram please find in attachment)
A cylinder-shaped sculpture is 24 meters high with a diameter of 6.8 meters. An artist plans to paint the entire surface blue. If one can of paint covers 50 square meters, how many cans does the artist need to paint the sculpture
Answers
Answer:
11.70cans ≈ 12cans
Step-by-step explanation:
According to question,
Given,A cylinder-shaped sculpture is 24 meters high with a diameter of 6.8 meters . thus Radius is 6.8/2 = 3.4 meters .And, An artist plans to paint the entire surface blue. & one can of paint covers 50 square meters.Now,First we have to find the total surface area of cylinder
total surface area of cylinder=2×π×r² + 2×π×r×h
Put values,we get
⇒2×3.14×3.4² + 2×3.14×3.4×24
⇒585.0448 square meters
Now,one can of paint covers 50 square meters.
So,To paint 585.0448 m² Area We need 585.0448 / 50 = 11.70Cans
Total Cans needed is 11.70cans ≈ 12cans .
if one side of a triangle measures 37 degrees and the other side measures 56 degrees, what is the angle of the third side?
Answers
15
9
determine the value
coso
Answers
Answer:
36.87°
Step-by-step explanation:
Given the right angle triangle :
To obtain the value of Cosθ ; we use the trigonometric relation :
Cosθ = Adjacent / Hypotenus
The adjacent angle isn't given :
Opposite = 9 ; hypotenus = 15
Adjacent = √(hypotenus ² + opposite ²)
Adjacent = √(15² - 9²)
Adjacent = √(225 -81)
Adjacent = √144 = 12
Hence,
Cos θ = 12/15
θ = Cos^-1(12/15)
θ = 36.87°
What is the slope of the line containing (-2,5) and (4, -4)?
O A. -2
O B.
3
2
O c. 2
O D.
3
2
Answers
Answer: slope is -3/2
Step-by-step explanation:
(-2,5) (4,-4)
Use the slope formula y2-y1/x2-x1
5-(-4)/-2-4 = -3/2
Answer:
The slope of the line containing (-2,5) and (4,-4) is [tex]-\frac{3}{2}[/tex]
Step-by-step explanation:
if the time is 7:32 what time will it be in 9 hours and 25 minutes?
Answers
Answer:
The time would be 4:59
Step-by-step explanation:
Find the slope of a line thrcfugh the points (3, 2) and (11, 7). Round your
answer to 1 decimal place.
slope
Y2M
32-1
Answers
Work Shown:
m = (y2-y1)/(x2-x1)
m = (7-2)/(11-3)
m = 5/8
m = 0.625
m = 0.6
Which of the following is a polynomial?
Answers
PLS HELP. ITS FOR AN ASSIGNMENT DUE SOON!!! IF YOU DONT KNOW THE ANSWER PLEASE DONT SAY ANYTHING.
the sum of three out of four numbers( omitting each of the four numbers in turn) are 20, 22, 24 and 27, respectively. What is the sum of the four numbers?
Answers
The numbers are 9, 7, 4, 11
Bruce wants to make 50 ml of an alcohol solution with a 12% concentration. He has a 10% alcohol solution and a
15% alcohol solution. The equation 0.10x + 0.15(50 -x) = 0.12(50) can be used to find the amount of 10% alcohol
solution Bruce should use.
How much of the 10% alcohol solution should Bruce use?
40
mL
How much of the 15% alcohol solution should Bruce use?
mL aASAP
Answers
Answer:
x = 30 ml of 10%
50 - x = 20 ml of 15%
Step-by-step explanation:
0.10x + 0.15(50 - x) = 0.12(50)
distribute
0.10x + (7.5 - 0.15x) = 6
Combine like terms
-0.05x = -1.5
Divide both sides by -0.05
x = 30 ml of 10%
50 - x = 20 ml of 15%
Determine the mean, median, and mode of the data set.
37, 12, 32, 23, 12, 40, 11, 12, 10, 23, 27
a.
C.
mean=22
median=40
mode=23
mean=21.7
median=23
mode=12
b. mean=20
d. mean=22
median=20
median=12
mode=12
mode=23
Answers
Answer:
mean=21.7
median=23
mode=12
Step-by-step explanation:
Mean=37+12+32+23+12+40+11+12+10+23+27/11
=21.7(3 s.f)
Median: 10,11,12,12,12,23,23,27,32,37,40
Median=23
Mode=12
The ordered triple for U is (-1,5,0). To graph this point in three- dimensional coordinate space, do the following.
From the origin, move back 1 units, right_ units, and down 0 units
A. 0
B. 5
C. 1
Answers
Answer:
the answer is B
Step-by-step explanation:
What is the value of k?
Answers
Answer:
10
Step-by-step explanation:
Top angle of tri:
180 - 115 =
65
So:
65+4K+5+6k+10 = 180 (angles in tri add to 180)
Solve:
80+10k = 180
10k = 100
K = 10
Answer:
10
Step-by-step explanation:
y = 180 - 115
y = 65
Total of angles in a triangle is 180
(4k + 5) + (6k + 10) + 65 = 180
combine like terms
10k + 80 = 180
Subtract 80 from both sides
10k = 100
Divide both sides by 10
k = 10
Please help me figure out this problem
Answers
Answer:
There was no van stated in the question, but if the van was the truck, the answer would be $50.
Step-by-step explanation:
We can split the problem into 2 parts. First, there is a flat fee of $30 to rent the truck.
Now, we can calculate the cost to rent the truck for 80 miles excluding the flat fee by multiplying the values together.
$0.25/mile * 80 miles = $20
Now, we can add the values up.
This will give us: $30 + $20 = $50