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
Please help I’ll give brainliest
Answers
Answer:
Option A
Step-by-step explanation:
Please Mark me brainliest
points E, F and D are located on the circle C. The measure of arc ED is 108.
What is the measure of angle ECD ?
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Ranu has 200 stamps and Cathy has 132 stamps. How many stamps must Ranu give Cathy so that they will have the same number of stamps?
Answers
Answer:
34
Step-by-step explanation:
let x = number of stamps ranu gives out and the number of stamps cathy receives
200 - x = 132 + x
combine like term s
200 - 132 = 2x
68 = 2x
x = 34
Given that y is directly proportional to x. If y = 30 and x= 5, write an equation that connects y with x.
Answers
Given:
y is directly proportional to x.
[tex]y=30[/tex] when [tex]x=5[/tex]
To find:
The equation that connects y with x.
Solution:
It is given that, y is directly proportional to x. So,
[tex]y\propto x[/tex]
[tex]y=kx[/tex] ...(i)
Where, k is the constant of proportionality.
We have, [tex]y=30[/tex] when [tex]x=5[/tex]. Substituting these values in (i), we get
[tex]30=k(5)[/tex]
Divide both sides by 5.
[tex]\dfrac{30}{5}=k[/tex]
[tex]6=k[/tex]
Substituting [tex]k=6[/tex] in (i), we get
[tex]y=6x[/tex]
Therefore, the required equation is [tex]y=6x[/tex].
hi, last thing !! awarding 30 points here !! answer asap thank you so much !!
Answers
Answer:[tex]\color{yellow}{}[/tex]
[tex]\color{iron}{{-1, 0, 4}}[/tex]
[tex]\color{iron}{{-3, 1, 2}}[/tex]
Domain is 5 and the range is 4 so the Function is 1.25
Does anyone know this? Options: 5,6,or 10
Answers
Answer:
x = 6
Step-by-step explanation:
a • b = c • d where a and b are the segments lengths on one chord and c and d are the segments lengths on the other chord
2*x = 3*4
2x = 12
Divide by 2
2x/2 = 12/2
x = 6
PLEASE HELP. (Will Mark Brainliest)
Answers
Answer:
Step-by-step explanation:
17/60 = 0.2833333333..... 3 repeating
25/60 = .025 terminating
31/44 = 0.7045454545..... 45 repeating
54/72 = 0.75 terminating
Which scenario depicts two independent events?
The school play opens tonight and it is raining.
Neva is hungry and she buys a snack from the concession stand.
Ari chooses a partner for a group project and then Ezekial chooses a partner from the remaining classmates.
Luka paints during school and he stains his shirt.
Answers
Neva is hungry and she buys a snack from the concession stand event is independent.
What is Probability?It is a branch of mathematics that deals with the occurrence of a random event.
Two events are independent if the occurrence of one event does not affect the probability of the other event occurring.
Based on this definition, the scenario that depicts two independent events is Neva is hungry and she buys a snack from the concession stand.
The fact that Neva is hungry and decides to buy a snack from the concession stand is not affected by any other event.
The occurrence of one event (Neva buying a snack) does not affect the probability of the other event occurring.
Therefore, the Neva is hungry and she buys a snack from the concession stand. event is independent.
To learn more on probability click:
https://brainly.com/question/11234923
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35 into binary number
Answers
Answer:
35 in binary is 100011.
Step-by-step explanation:
To find decimal to binary equivalent, divide 35 successively by 2 until the quotient becomes 0.
Find the value of BC B 4x - 10 C A D 3x + 5
Answers
Answer:
BC = 50
Step-by-step explanation:
BC = AD in a parallelogram
4x-10 = 3x+5
Subtract 3x from each side
4x-3x-10 = 3x-3x+5
x-10 = 5
Add 10 to each side
x-10+10 = 5+10
x = 15
BC = 4x-10 = 4*15-10 = 60-10 = 50
Answer:
BC = 50
Step-by-step explanation:
BC = AD
4x - 10 = 3x + 5
4x - 3x = 5 + 10
x = 15
for BC
4x - 10
4*15 - 10
60 - 10
50
can someone help me with Q I can't seem to get it
Answers
Answer:
Can u do zoom it plz i cant see
I’m begging you too pls pls pls pls help! I’d appreciate it so much. This is independent work and I have no clue of what this means so pls comment as fast as u can because according to my teacher this was supposed to be due yesterday and I’m just doing it today. Pls help thank you so so so much! Pls don’t waste time thanks again!
Answers
Answer:
1. 160 min
2. 84 min
3. 5:12 p.m.
4. 6:40 p.m.
5 a 4:44 p.m.
b 7:14 p.m.
During a game of pool near hit a ball and it follow the path from B to C and then to de- the angles formed by the path of congruent to the nearest 10th of an inch which of the following represents the total distance the ball travels before it stopped at point D
Answers
Answer:
please mark me as brainleast
Help
Will
Give
Brainlist
Answers
Answer:
3.14 million
Step-by-step explanation:
10.676 - 7.536 = 3.14
To check
7.536 + 3.14 = 10.676
Answer:
3.14 million is the correct answer
A PE teacher has to organise two year groups into netball teams, each separately. Year 7 has 70 students and Year 8 has 98 students. If each year group must be split up equally into teams all of the same size, what is the largest team size she can use?
Answers
Answer:
14
Step-by-step explanation:
Find HCF
Year 7: 70 students
7x5x2=70
Year 8: 98 students
7x7x2=98
HCF: 14
The largest team size she can use is 14 students.
Grade 7: 5 teams
Grade 8: 7 teams
Brainliest please, thanks!
At 4 p.m., the temperature started to change drastically. Each hour, for three hours the temperature decreased by 7°F
Which expression best shows another way to write the product for the temperature change?
07-7-7
(-1)(7+7+7)
Answers
Answer:
07-7-7
Step-by-step explanation:
ASAP!!!!!! Factor the trinomial x^2 + 7x + 12
Answers
Is the answer
based on the lesson identify the first operation needed to solve the following equation.
2x+3=11
Multiplication
Subtraction
Addition
division
Answers
Answer:
division
Step-by-step explanation:
2x=11-3
2x=8
divide both side
x=4
Answer:
the original answer is wrong the "FIRST" operation
would be a subtraction , followed by a division
Step-by-step explanation:
Susie leaves to go shopping driving 45 miles per hour toward the Happy Shopper Grocery Store. Susie is originally 20 miles due west of the store. Sammie leaves for the Happy Shopper Grocery Store at the same time driving 50 miles per hour on the same road but she is 25 miles due East
If they keep driving and do not stop at the store, how long (in hours) will it take for them to pass on the road? Where relative to the store is this (please state a distance and whether they are East or West of the store). Round the time (in hours) to the nearest thousandth and the distance to the nearest tenth if needed.
Answers
Answer:
Step-by-step explanation:
when they meet, time taken are same.
total distance they travel=20+25=45mile
total speed=45+50=95mile/hour
time=45/95=0.474hour
0.47*45=21.4mile>20mile so they meet at east of store.
Sylvie finds the solution to the system of equations by graphing.
y = x + 1 and y = x – 1
Which graph shows the solution to Sylvie’s system of equations?
Answers
Answer:
the 2nd one
Step-y-step explanation:
Which statement correctly compares the function shown on this graph with
the function y = 4x+ 2?
8
7
6
5
4
12
-5 -4 -3 -2 -1
1 2 3
4 5
-2
Answers
Answer:
B. The function shown on the graph has a smaller rate of change but a higher starting point
Step-by-step explanation:
Question options obtained from a similar question are;
A. The function shown on the graph has a greater rate of change and a higher starting point
B. The function shown on the graph has a smaller rate of change but a higher starting point
C. The function shown on the graph has a greater rate of change but a lower starting point
The function shown on the graph has a smaller rate of change but a higher starting point
Explanation;
The given function with which the graph is compared is y = 4·x + 2
From the given function, we have;
The rate of change of the function is the coefficient of 'x', therefore, the rate of change of the function = 4
When y = 0, 4·x + 2 = 0,
∴ x = -2/4 = -0.5
The y-intercept is given when x = 0
∴ The y-intercept, y = 4 × 0 + 2 = 2
The starting point of the function, is (0, 2)
From the graph, we have;
The y-intercept = (0, 4)
Therefore, the starting point of the line, the y-intercept, (0, 4), is higher than the starting point of the given function, (0, 2)
The coordinates of two (clear) points on the line in the graph are (0, 4) and (-2, -2)
The rate of change of the line, m = (4 - (-2))/(0 - (-2)) = 3
Therefore, the graph has a lesser rate of change, 3, than the rate of change of the given function, 4
When compared with the given function, 'the function shown on the graph has a smaller rate of change and a higher starting point'.
use the diagram to find the value of x
Answers
Answer:
4
Step-by-step explanation:
18x = 12(x+2)
18x = 12x+24
18x-12x = 24
6x = 24
x = 4
please help me i have geo finals
Answers
Answer:
x = 8
Step-by-step explanation:
Given 2 intersecting chords.
Then the product of the parts of one chord is equal to the product of the parts of the other chord, that is
14(2x + 2) = 12(2x + 5) ← distribute parenthesis on both sides
28x + 28 = 24x + 60 ( subtract 24x from both sides )
4x + 28 = 60 ( subtract 28 from both sides )
4x = 32 ( divide both sides by 4 )
x = 8
Find the surface area of a cylinder with a height of 9 ft and a base diameter of 8 ft.
Use the value 3.14 for n, and do not do any rounding.
Be sure to include the correct unit.
Answers
Answer:
326.56 square feet
Step-by-step explanation:
Surface area of a cylinder = 2πrh + 2πr²
Radius = Diameter/2
= 8 ft/2
= 4 ft
Height = 9 ft
Surface area of a cylinder = 2πrh + 2πr²
= (2 * 3.14 * 4 * 9) + (2 * 3.14 * 4²)
= 226.08 + 100.48
= 326.56 square feet
Surface area of a cylinder = 326.56 square feet
Which function has the same range as
f(x)=-2 Sqrt X-3 +8?
g(x)= VX-3-8
g(x) = VX-3+8
g(x)=- Vx+3+8
g(x)=√x-3-8
Answers
Answer:
C
Step-by-step explanation:
The option that has the same range than f(x) is:
[tex]g(x) = -\sqrt{x + 3} + 8[/tex]
What is the range of the given function?
Here we first have the function:
[tex]f(x) = -2*\sqrt{x - 3} + 8[/tex]
Remember that the square root only can be evaluated arguments equal or larger than zero.
So the minimum value of x that we can use is x = 3.
[tex]f(3) = -2*\sqrt{3 - 3} + 8 = 8[/tex]
And as x increases, the outcome will decrease (because the square root is being mulitiplyed by a negative number). So we can conclude that the range is y ≤ 8.
Which other function has the same range?So, we need another function that has a maximum value in the range equal to positive 8, so we need to have a constant equal to 8, and a square root being multiplyed by a negative number.
The option that meets these two conditions is the third one:
[tex]g(x) = -\sqrt{x + 3} + 8[/tex]
If you want to learn more about domains and ranges, you can read:
https://brainly.com/question/10197594
A regular pentagon has a perimeter of 60 cm.
A regular pentagon has a perimeter of 60 centimeters and center point B. Radii B A and B D are drawn to form triangle A B D. Apothem B C is drawn to split the triangle into 2 right triangles.
What is the measure of angle CBD?
°
What is the length of segment CD?
cm
Which trigonometric ratio can be used to compare BC to CD using angle CBD?
What is the approximate length of BC?
cm
What is the approximate length of BD?
cm
Answers
Answer:
36˚
6 cm
tangent
8.3 cm
10.2 cm
Step-by-step explanation:
The side lengths of the regular pentagons are congruent
What is the measure of angle CBD?A pentagon has 5 sides, and the central angle is 360°.
Calculate the measure of ABD using:
ABD = 360°/5
ABD = 72
The measure of CBD is half the measure of ABD.
So, we have:
CBD = 0.5 * 72
CBD = 36
Hence, the measure of CBD is 36 degrees
What is the length of segment CD?A pentagon has 5 sides, and the given perimeter is 60 cm
Calculate the length of AD using:
AD = 60cm/5
AD = 12
The length of CD is half the length of ABD.
So, we have:
CD = 0.5 * 12
CD = 2
Hence, the length of CD is 6 cm
cm
Which trigonometric ratio can be used to compare BC to CD using angle CBD?Using the angle CBD, the trigonometric ratio can be used to compare BC to CD is the tangent ratio
What is the approximate length of BC?We have:
tan(CBD) = CD/BC
Make BC the subject
BC = CD/tan(CBD)
Substitute known values
BC = 6/tan(36)
Evaluate
BC = 8.3 cm
Hence, the approximate length of BC is 8.3 cm
What is the approximate length of BD?By Pythagoras theorem, we have:
BD^2 = BC^2 + CD^2
This gives
BD^2 = 8.3^2 + 6^2
Take the square root of both sides
BD = 10.2 cm
Hence, the approximate length of BD is 10.2 cm
Read more about regular pentagons at:
https://brainly.com/question/14961220
PLEASE HELP ME!
Diagram shows the distance time graph that represent Dendrick's journey Kl to vawang and David s journey from rawang to Kl. Both of them depart from the place at the same time
a) Calculate the length of time in minutes, David stop his car
b) If their journey starts at 9 am, what is the time david and dendrick
c) Calculate the speed in km h¯¹, of Dendrick when he meets David
Answers
Answer:
1) 45 minutes
2) they meet in 20 minutes
3) (12-6)/(20/60)=18kmh
Which transformation reflects a figure across the y-axis
Answers
Find the equation of the line with slope -2 which goes through the point (9,-7).
Give your answer in slope-intercept form y = mx + b.
Answers
help help help help pls
Answers
Answer:
The length of AB is approximately 6.07 m
Step-by-step explanation:
The given dimensions of the triangle are;
The value of x = 7.7 m
The measure of angle, θ = 52°
The length of side AB = Required
The given triangle ΔABC is a right triangle, with the following sides;
AC = x = The hypotenuse (opposite to right angle) side
(Leg) AB = The opposite side to the reference angle, θ
(Leg) BC = The adjacent side to the reference angle, θ
By trigonometric ratio, we have;
[tex]sin(\theta) = \dfrac{Opposite \ leg \ length}{Hypotenuse \ length} = \dfrac{AB}{x}[/tex]
Therefore;
[tex]sin(52^{\circ}) = \dfrac{AB}{7.7}[/tex]
AB = 7.7 × sin(52°) ≈ 6.07
The length of AB ≈ 6.07 m.
