According to the rational root theorem, which statement about f(x)=66x^4-2x^3+11x^2+35 is true?
Answers
Answer:
Option (1)
Step-by-step explanation:
If a polynomial is given in the form of f(x) = ax³ + bx² + c
By rational root theorem rational roots of the given polynomial will be,
x = [tex]\frac{\pm \text{Factors of c}}{\pm \text{Factors of a}}[/tex]
Given polynomial in the question is,
f(x) = 66x⁴- 2x³ + 11x²+ 35
Possible rational roots will be,
x = [tex]\frac{\pm \text{factor of 35}}{\pm \text{Facors of 66}}[/tex]
Therefore, Option (1) will be the answer.
Related Questions
can someone help me with this
Answers
Answer:
x = 5
Step-by-step explanation:
within this triangle are two congruent right triangles with height of 4 and base of 3 (half of 6)
use the Pythagorean Theorem to find 'x':
3² + 4² = x²
9 + 16 = x²
x² = 25
x = √25
x = 5
Find BD. NO LINKS ALLOWED PLEASE.
Answers
Answer:
Step-by-step explanation:
You have an angle bisector in AD. That means the sides are in proportion to to BD and DC
It's much easier just to look at the proportion.
AB / BD = AC/DC
18 / (3x - 3) = 15/(x + 5) Cross multiply
18*(x + 5) = 15 (3x - 3) Remove the brackets
18x + 90 = 45x - 45 Switch the sides.
45x - 45 = 18x + 90 Subtract 18x from both sides
-18x -18x
27x - 45 = 90 Add 45 to both sides
+45 45
27x = 135
x = 5
But that's not the answer (even though it is correct). You want BD
BD = 3x - 3
BD = 3*5 - 3
BD = 15 - 3
BD = 12
Write a function in any form that would match the graph shown below.
Answers
Answer:
y + 16 = -1(x + 3)²
Step-by-step explanation:
Looking at the graph, parabola vertex opens upwards with x intercepts as -5 and -1.
Thus, the line of symmetry will be;
x = (-5 + (-1))/2 = -3
Looking at the graph we can see that the vertex when traced to the x - coordinate will be 3 which is same with what we got.
Now, the general form of the equation will be;
y - h = a(x - k)²
where (k,h) is the vertex coordinate
Thus, k = -3
So;
y - h = a(x - (-3))²
>> y - h = a(x² + 6x + 9) =
>> y = ax² + 6ax + 9a + h
When, x = 0
y = 9a + h
From the graph, we can see that the y-intercept is y = -25
Thus;
9a + h = -25
From the graph, h which is the y-coordinate of the vertex = -16
Thus;
9a - 16 = - 25
9a = -25 + 16
9a = -9
a = -9/9
a = -1
Thus, the equation is;
y - (-16) = -1(x - (-3))²
>> y + 16 = -1(x + 3)²
The third grade students collected 90 cans of food for a food drive. They want to put an equal number of cans into each of 6 boxes. How many cans will they put into each box?
Answers
90 ÷ 6 = 15
Check it:
15 • 6 = 90
Have a nice day
Brainliest will be appreciated
Answer:
15
Step-by-step explanation:
90/6
10x6=60
90-60=30
6x5=30
30-30=0
10+5=15
find the surface area of the given prism
Answers
Answer:
Hello! answer: 432
Step-by-step explanation:
12 × 8 = 96
12 × 8 = 96
12 × 6 = 72
12 × 6 = 72
8 × 6 = 48
8 × 6 = 48
Then you add them all up so...
96 + 96 + 72 + 72 + 48 + 48 = 432 therefore the surface area is 432 hope that helps!
heyy pls answer quickly i need help on math again
Answers
===========================================================
Explanation:
y = 5 because the long leg is exactly sqrt(3) times that of the short leg.
The short leg is always opposite the 30 degree angle.
The hypotenuse x is twice that of y, so x = 2y = 2*5 = 10
All of these rules only apply to 30-60-90 triangles. You can use trig ratios as an alternative route.
Which variable in the following equation represents the slope of the line? y=mx+b
Answers
Hope this help!
1+1+1+1+1+1+1+1+1+1+1+1+2+2+2+2+2+3+3+3+3+3+3+3776857867458675894678476845768478574=
Answers
Answer: 3776857867458675894678476845768478614
Step-by-step explanation:
Because it is lol
Lol i think its wrong
Answer:3776857867458675894678476845768478614
Which pairs of angles in the figure below are vertical angles?
Check all that apply.
Answers
Answer:
B. ∠EYL and ∠AYS
D. ∠SYL and ∠EYA
Step-by-step explanation:
A vertical angles are the pair of angles on the opposite sides of intersecting lines
In the given figure, the pair of intersecting lines are;
Line AYL and line SYE
The vertical angles formed by the lines [tex]\overline{AYL}[/tex] and [tex]\overline {SYE}[/tex] are;
From East to West (left to right direction) angles ∠EYL and ∠AYS
From the direction of 'H' ∠SYL and ∠EYA
Therefore, the correct options are;
B. ∠EYL and ∠AYS and D. ∠SYL and ∠EYA.
Graph (2,1) (2,4) (5,1)
Answers
Answer:
Use a calculator for this like desmos graphing
Step-by-step explanation:
. A copy machine can duplicate 2400 copies in one hour. How many copies can it make per minute?
Answers
Evaluate the question.
-8x = 90
A.) x = 82
B.) x = 45/4
C.) x = -45/4
D.) x = -82
Answers
Answer:
C.) x = -45/4
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityStep-by-step explanation:
Step 1: Define
Identify
-8x = 90
Step 2: Solve for x
[Division Property of Equality] Divide -8 on both sides: x = 90/-8Simplify: x = -45/4If B is a point AC and AB:BC = 1:2, what are the coordinates of B?
Answers
Answer:
B(x, y) = (-2, -2)
Step-by-step explanation:
Given: AB: AC (m₁: m₂) = 1 : 2, A (x₁, y₁) = (-5, 2) and B(x₂, y₂) = (4, -10)
To find: Coordinates of B (x, y)
Using section formula:
Therefore Coordinates of B (x, y) is (-2, -2).
Step-by-step explanation:
can anybody tell me if this is correct please? thank you.
Answers
Answer:
Yep
Step-by-step explanation:
You're correct, Well done!
Answer:
Yes that is correct!
Step-by-step explanation:
(38 x 25)/100 = $9.50
38 - 9.50 = $28.50
2. Write an inequality for each of the
following situations:
The temperature was less than 7° F.
You must be at least 42 inches tall to ride
the rollercoaster.
The repairs to the car will be at least $125.
You need to sell atleast 25 tickets.
You cant be more than 40 pounds to ride the ponies
There were less than 12 people in my class
Answers
Answer:
the temperature is 6 degress fair hight you are 42inches while riding the ride
*PLS HELP WILL MARK BRAINLIEST 100 POINTS* A moving truck 7 feet wide and 13 feet high is approaching a semi-circular brick archway. The base of the
archway is 28 feet wide. The road under the archway is divided, allowing for two-way traffic. If the truck remains just
to the right of the median, will it be able to pass under the archway without damage?
Answers
Answer:
No
Step-by-step explanation:
Think of the archway as a semicircle with a radius of 28/2 = 14
The diagonal of the truck is like the hypotenuse of a right triangle with legs of 7 and 13
c² = a² + b²
c² = 7² + 13²
c² = 49 + 169
c² = 218
c = 14.76
Since the diagonal of the truck is greater than the radius of the arch the truck will NOT pass without damage
solve y= -2^(-x-3)= -4
Answers
Hope that help
PLSSS HELP!! (Determine the value of x.)
Answers
Answer:
X=4
Step-by-step explanation:
(2x-5)+(4x-1)=7x-10
2x-5+4x-1=7x-10
6x-6=7x-10
6x=7x-4
x=4
who could help me out with this
Answers
Answer:
can you send a picture of the drop down menus, i cant see the option choices so i cant help
Step-by-step explanation:
There are 5 boys and 10 girls in the glee club. Which ratio represents the number of boys in the club to the total number of students in the club?
Answers
Answer:
5:15 or can be simplified to 1:3
Step-by-step explanation:
There are 5 boys out of 15 total students in glee club.
Grammy is buying a pair of Jeans that regularly cost $40. They are on sale for 20% off.
If the tax rate is 8%, what is the sale price of the Jeans Including tax?
Answers
Answer:
$34.56
Step-by-step explanation:
First, find the discount price.
20% of 40
20/100 x 40= $8
Deduct the discount from the original price.
40 - 8 = $32
This is the discount price.
Now, find 8% (tax) of the price.
8/100 x 32 = $2.56
Add it to the price.
32 + 2.56 = $34.56
Hope this helps!
I dont get it yall help
Answers
Answer:
y = 3x + 1.
Step-by-step explanation:
The slope is 3 and the y-intercept is at y = 1.
Answer:
y = 3x + b
Step-by-step explanation:
Essentially the question is asking us to find the equation of the line in slope intercept form
Slope intercept form: y = mx + b
Where m = slope and y = y intercept
First let's find the slope
Slope = change in y over change in x
Looking at the line as y goes up 3 x goes up 1
hence slope (m) = 3/1 or just 3
Now let's find the y intercept
The y intercept is equal to the y value of the point where the line passes the y axis
The line passes the y axis at ( 0 , 1 ) and the y value of that point is 1
Hence, y intercept (.b ) = 1
Finally we substitute 3 for m and 1.for b in y = mx + b to get the equation of the line
We get y = 3x + 1.
Which of the listed values are equal to the sine of C A.)b/a B.)c/a C.)c/b D.)cos B E.)5.Cos C F.)cos (90°-C) G.)cos(90°-B)
Answers
Answer:
Sine of C=?
Among the given options which is the correct one.
Step-by-step explanation:
Consider a right-angle triangle ABC.
[tex]angle B=90^{0}[/tex]
In a right angle triangle, one angle [tex]90^{o}[/tex].
The sum of all the angles is [tex]180^{o}[/tex].
[tex]angle A +angle B+angleC=180^{0}angleA+90^{0} +angle C=180^{0}\\angleA+angleC=180^{0} -90^{0} \\angleA+angleC=90^{0} \\angleA=90^{0} -angle C[/tex]
Consider the trigonometric ratios and use the traingle ABC.
[tex]SinC=\frac{AB}{AC}[/tex]
[tex]CosA=\frac{AB}{AC}[/tex]
[tex]angleA=angle(90-C)\\Hence,\\SinC=Cos(90-C)[/tex]
Answer:
OptionF).[tex]Sine of C=Cos(90^{0} -C)[/tex]
Please help I’ll give brainliest
Answers
Please tell me if these two are complementary, supplementary or neither!
Answers
Answer:
Two Complementary
Step-by-step explanation:
PLEASE I REALLY NEED HELP I ONLY HAVE AN HOUR LEFT TO FIINISH THIS What is the relationship or pattern you see between the month and the daylight hours?
Answers
Answer:
T he pattern shows that the number of hours of daylight per day is higher in the summer and lower in the winter. This pattern is caused by the tilt of Earth's axis. At some points in Earth's orbit around the Sun, the tilt causes one hemisphere to lean toward the Sun while the other one is tilted away.
Step-by-step explanation:
The size of angle DEF
Answers
Answer
132 degrees
Step-by-step explanation:
Strategy: Find angle DEB and using that fact that DEB + DEF is 180 degrees to find angle DEF
The sum of the four angles of any quadrilateral is 360 degrees.
Since three angles are given, we can use that to find the fourth.
360-(147+93+72)=size of angle DEB. Solving, you get angle DEB is 48.
Also, knowing that segment BF is a straight line, it means that angle DEB + angle DEF is equal to a straight angle (180 degrees).
DEB+DEF=180
48+DEF=180
DEF=180-48=132 degrees.
Thus, angle DEF is equal to 132 degrees.
The measure of central angle XYZ is 1.25 radians.
Circle Y is shown. Line segments X Y and Z Y are radii. The length of X Y is 8. The major angle of X Y Z is shaded.
What is the area of the shaded sector?
10 units2
20 units2
40 units2
80 unit
Answers
Answer:
The correct answer is C:
40π units²
Step-by-step explanation:
Just took it on edg
What is the value of x in the figure?
90
70
60
50
Answers
Answer:
50
Step-by-step explanation:
90-30=60
x + 10 = 60
-10
x = 60-10
x = 50
Help didn’t realize these were due
Answers
Answer:
Step-by-step explanation: