50 pts. & will give brainliest! use the rational root theorem to list all possible rational roots of the polynomial equation x^3 - x^2 - x - 3 = 0. do not find the actual roots. (1 point)
a. -3, -1, 1, 3
b. 1, 3
c. -3, 3
d. no roots
Answer:
The Cubic Polynomial given here is
x³ - x² - x -3 =0
Rational root theorem :
Consider any polynomial
[tex]→ Ax^n +A_{1}x^{n-1}+A_{2}x^{n-2}+.................+A_{n}=0Axn+A1xn−1+A2xn−2+.................+An=0[/tex]
So, the factors of this polynomial is those number which divides An/A which are ±1, An/A.
Applying the same method the number which divides (-3) are,-3,+3,-1,+1. So By rational root theorem all the factors of this cubic polynomial is 3,±1,±3 .
Option 1. -3,-1,1,3 is correct optionAnswer:
-3, -1 , 1, 3
Step-by-step explanation:
Constant factors: 1, -1, 3, -3
Coefficient factors: 1, -1
help me with this problem
Answer:
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Step-by-step explanation:
11/9/2001
Tommy and his friend went to go buy pie at Delicious Orchards. After paying seven dollars for the pie, Tommy
has ninety-five dollars left, his friend has forty dollars. How much money did Tommy have before buying the
ple.
Answer:
$102
Step-by-step explanation:
if Tommy spent 7 dollars on pie, that means he had more money than that amount before.
So before he spent 7 dollars, he had those 7 dollars.
Add 7 with 95
95 + 7 = 102
An employee receives an 8% raise each year. The salary this year is $42,000. Which two expressions will calculate the salary for next year?
6. A math book is 3.78 cm thick. What is the total width of 21 math
books on the shelf?
79.38 cm
........................................
How would a child use addition to find 8 X 2?
Answer:
16
Step-by-step explanation:
They would do 8+8 to get their answer
2 or more angles are supplementary if their sum is 180°. An angle is 4 times the value of its supplement.
I really need help to set up and solve an equation in order to find the measures of the 2 of the angles immediately!!!
I give the Brainliest to whoever got the best correct answer with anyone’s best efforts of step-by-step explanation, so anyway guys, good luck with your answering and I will check to see if you understand my question or not in order to answer my mathematics question! :)
Answer:
Smaller Angle : 36 degrees
Bigger Angle : 144 degrees
Step-by-step explanation:
So we can name the smaller angle x and the larger one 4x. We can add them and make the answer 180. x+4x=180, 5x=180, x=36
Smaller angle : x=36
Bigger Angle : 4x=36*4=144
Answer:
Angle X = 36
Angle Y = 144
Please give me Branliest
Step-by-step explanation:
Ok, so
X + Y = 180
and
4X = Y
So we substitute
X+4X = 180
5X = 180
X = 36
Now
36 + Y = 180
-36 -36
Y = 144
What is a physical quantity ?
Answer:
A physical quantity is a physical property of a material or system that can be quantified by measurement.
If a given triangle
has interior angles
measuring 24° and
85°, what is the
measure of the third
angle?
Answer:
solution,
x+85+24=180 (being sum of angle of triangle)
x+109=180
x=180-109
x=71
therefore, the third angle is 71
Answer just below :-
Step-by-step explanation:
Let the third angle be x
Then;
24°+85°+x = 180 ( sum of interior angles of a triangle is 180°)
or; 109°+x = 180°
or; x = 180°-109°
:x=71°
Therefore the measure of third angle is 71°
9. The number of sprouts that Bill, Harvey and Ruth eat is in the ratio 3: 2:5
Bill and Ruth eat 24 sprouts between them.
How many sprouts are eaten altogether?
Please help
Answer: 9:6:15
Step-by-step explanation:
The ratio is Bill : Harvey : Ruth
We are told that bill and ruth both eat 24 sprouts together. The ratio for bill and Ruth would be 3:5
Add the ratios together to get 8
Then divide the amount (24) by 8
This gives you 3. Then times all he numbers in the ratio by 3 to get the answer ; 9 : 6 : 15
Given each set of points, determine if AB and CD
are parallel, perpendicular, or neither.
9. A(2, 2), B(0, 0), C(2, 0), D(0, -2)
Answer:
Paralell
Step-by-step explanation:
The line from A to B has a slope of 1
the Line from C to D had a slope of 1
since the slopes are equal the lines are paralell
Answer:
parallel
Step-by-step explanation:
The line from A to B has a slope of 1
the Line from C to D had a slope of 1
since the slopes are equal the lines are paralell
Where do i plot the points? Need help ASAP!
Answer:
Plot at (8,2)
Step-by-step explanation:
A line is an undefined term because it
A line is an undefined term because it describes something that does not have width or depth. However, lines can extend its length in both side infinitely. It contains arrowheads indicating it can extend.
Undefined Terms.
In geometry, point, line, and plane are considered undefined terms because they are only explained using examples and descriptions. Name the points, Lines, & Planes. Collinear points are points. that lie on the same line.
Answer:
A line is an undefined term because it describes something that does not have width or depth. However, lines can extend its length in both side infinitely. It contains arrowheads indicating it can extend.
what is x/7-6 i need help on this bud!
Answer:
answer is x-45/7 okayyyy
Answer:
X/7-6
lcm
X-6*7/7
Step-by-step explanation:
X-42/7 #
I’m working on 3 and 4 only maybe if I can have some explanation so I can understand and do more of these next week.
4.b.
Answer: See below.
Step-by-step explanation:
For the equation f(x) = 2x3.a. f(6) means use x = 6 in the equation f(x) = 2x
so f(6) would be f(6)= 2(6)
f(6) = 12
3.b. f(-11) = 2(-11)
f(-11) = -22
3.c. f(2.75) = 2(2.75)
f(2.75) = 5.5
3.d. This is turned around. We are told f(x)=20, so what would x need to be for f(x) to be 20? Since f(x) = 2x, we can say 20 = 2x. Therefore x = 10
f(10) = 20
The rest of (3) are solved in the same fasion.h
For the equation f(x)= 5x+50
4.a. f(7) = 5(7)+50
f(7) = 85
4.b. f(-12)
f(-12) = 5*(-12)+50
f(-12) = -60
Continue in the same fashion for these types of problems.
Write 41. 287 to 1 decimal place
What does substitute mean logarithms.
Answer:
Substitution means putting numbers in place of letters to calculate the value of an expression.
Step-by-step explanation:
A. x=68. y= 75
B. x= 75. v = 68
C. x= 40, y = 68
D. x= 75. y = 70
Answer:
the answer is B. x=75 y=68
Answer:
B. x = 75, y = 68
Step-by-step explanation:
In a school egg drop challenge, 68 of the eggs broke out of 100 total. What percent of the eggs survived the drop?
PLEASE HELP
In Triangle WXY, angle X is equal to angle Y, WX is equal to 9x-11, XY is equal 4 points
to 4x+1, and WY is equal to 7x-3, find x and the measure of each side
Answer:
x = 4WX = WY = 25XY = 17Step-by-step explanation:
The triangle is isosceles with side WX equal to side WY:
WX = WY
9x -11 = 7x -3
2x = 8 . . . . . add 11-7x
x = 4
Then the side measures are ...
WX = WY = 7(4) -3 = 28 -3 = 25
XY = 4(4) +1 = 16 +1 = 17
A circular coaster has a diameter of 5 inches. What is its area? write your answer using π.
Answer:
Step-by-step explanation:
Diameter=5 inches
Area= π[tex]r^{2}[/tex]
r is the radius of coaster.
Radius=diameter/2
Substitute the value of D:
r=5/2
Now
Area=π [tex]\frac{5}{2} ^{2}[/tex]
Area=π([tex]\frac{25}{2}[/tex])
Area=12.5π sq.inches
If you need to ask any questions, please let me know.A GIRL WANTS TO BUY A DRESS THAT COST 125$ ANDSHE HAS A DISCOUNT OF 15% OFF OF A 5% COUPAWN HOW MUCH DID SHE PAY
Surds[tex]5\sqrt[3]{24}-\sqrt[3]{192}[/tex]
Answer:
6∛3
Step-by-step explanation:
[tex]\displaystyle 5\sqrt[3]{24}-\sqrt[3]{192}=5\sqrt[3]{2^3\cdot3}-\sqrt[3]{4^3\cdot3}\\\\=(5\cdot2-4)\sqrt[3]{3}=\boxed{6\sqrt[3]{3}}[/tex]
_____
The cubes under each radical can be brought out. Coefficients of like radicals can be combined.
plz help ty<3
6cd^2+ 5cd + 3c^2 d^3
I think its 52 I'm not sure please dont get angry If I got it wrong
Please help and explain. You don't understand it very well.
Answer:
y = (-1/2)x + 2
Step-by-step explanation:
The black line slopes down as we move from left to right, so we conclude that the slope is negative. From (0, 2) to (4, 0), y drops by 2 units (the rise) and x increases by 4 units (run).
Thus the slope is m = rise / run = -2/4, or m = -1/2.
The y-intercept is (0, 2), so the value of b in the equation y = mx + b is 2.
Thus the equation of this line is y = mx + b => y = (-1/2)x + 2
at a back to school sale backpacks are marked down at 15% off the original price was $34 then what was the sale price
Answer:
The answer is 4.57
Step-by-step explanation:
Which of the following is a like radical please answer asap
the area of a rectangle pool is 7452m^2.If the width of the pool is 81m, what is the length?
 Find the perimeter. Simplify the answer
Answer:
20v + 6
Step-by-step explanation:
Perimeter = v + 10 + v + 10 + 9v - 7 + 9v - 7
Perimeter = 2v + 18v + 20 - 14
Perimeter = 20v + 6
-Chetan K
Answer:
Perimeter = 9v - 7 + 9v - 7 + v + 10 + v + 10
= 20v + 6...ans
Step-by-step explanation:
Hope i lt Helps you!!Haley has 48 colored pencils and 3 cups (A, B, C). Cup A holds one more colored pencil than cup C. Cup B holds 2 more colored pencils than cup C. How many pencils does cup B contain?
Answer:
17 pencils
Step-by-step explanation:
Assume that cup C holds x pencils. In this case, cup A holds x + 1 pencils, and cup B holds x + 2 pencils. We know that all of the cups together hold 48 pencils. If we add what we got together, we would get x + x + 1 + x + 2 = 48. 2x + 1 + x + 2 = 48. 2x + x + 1 + 2 = 48. 3x + 1 + 2 = 48. 3x + 3 = 48. 3x = 48 - 3. 3x = 45. x = 45 / 3. x = 15. Now, we know that cup C holds 15 pencils, and from here, we can find the number of pencils in cup B by adding 2 to 15 and getting 17, and that would be your answer.
Tell me if I'm wrong :)
Answer:
12
Step-by-step explanation: