By Rational Root Theorem, all rational roots of the polynomial equationx³-5x²-17x+21 = 0x is (x−3)(x+1)(x+7).
How do you find rational solution using Rational Root Theorem?The rational root theorem, also known as the rational root test, is an algebraic theorem that states that for a polynomial equation with integer coefficients to have a solution (root) that is a rational number, the leading coefficient (the coefficient of the greatest power) must be divisible by the fraction's denominator and the constant term (the one without a variable) must be divisible by the fraction's denominator.
It is given that,
x³-5x²-17x+21 = 0x
Factor the left side of the equation,
(x−1)(x−7)(x+3)=0
If any of the factors on the left side of the equation equals 0, the entire expression equals 0.
x−1=0
x−7=0
x+3=0
Set, x−1equal to 0 and solve for x.
x−1 equal to 0.
x−1=0
Add 1 to both sides of the equation.
x=1
Set, x−7 equal to 0 and solve for x
Set x−7equal to 0.
x−7=0
Add 7 to both sides of the equation.
x=7
Set x+3 equal to 0and solve for x.
Set x+3 equal to 0.
x+3=0
Subtract 3 from both sides of the equation.
x= −3
The final solution is all the values that make (x−1)(x−7)(+3)=0 true.
x=1,7,−3.
Hence, By Rational Root Theorem, all rational roots of the polynomial equationx³-5x²-17x+21 = 0x is (x−3)(x+1)(x+7).
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If a triangle has a side length of 5 inches and another side length of 7 inches, which of the
following choices for the third side length will make a triangle?
a. 1 inch
b. 2 inches
c. 6 inches
d. 13 inches
Answer:
d. 13 inches
Step-by-step explanation:
When we need to solve the side length and length of triangles, we need to remember one thing.
Coming to a right triangle, there are two short sides and one long side, and the two short sides need to add up to something less than the one long side.
Therefore, since we know our two short sides, add them :
7in. + 5in.
= 12in.
Looking at the answers, we can point out that d. is greater than 12 inches, therefore making it the correct answer.
\begin{cases} g(1)=4 \\\\ g(n)=g(n-1) + 3.2 \end{cases} ⎩ ⎪ ⎪ ⎨ ⎪ ⎪ ⎧ g(1)=4 g(n)=g(n−1)+3.2
Answer:
Vhsehafyru You know you are not a big fan of the way that I love my life
Step-by-step explanation:
Beavers are going there yy to go to school and earth and earth earth solar system solar solar system solar energy solar power
A quantity with an initial value of 220 grows continuously at a rate of 9.5% per hour. What is the value of the quantity after 255 minutes, to the nearest hundredth?
Answer:
i need help
Step-by-step explanation:
Explain the difference between a line with a slope of 0 and a line with no slope.
Answer:
A line with a slope of 0 is horizontal, while a line with no slope is completely vertical.
Step-by-step explanation:
A quadratic in factored form is given as (x + 5) (2x - 3) = 0, what are the solutions of this given equation?
X = and x =
Answer:
x = -5, x = 1.5
Step-by-step explanation:
If the two expressions multiplied together is 0, that means that one of the expressions would have to equal 0. This gives us two possible answers. Our two equations are now:
x + 5 = 0
2x - 3 = 0
We will first solve the first one!
To isolate x, we subtract 5 from both sides to get:
x = -5
Onto the second one!
We begin to isolate x by adding 3 to both sides.
2x = 3
Now we divide both sides by 2.
x = 3/2 or 1.5
Answer:
Step-by-step explanation:
A skateboarding ramp is 13 inches high and rises at an angle of 12 degrees. How long is the base of the ramp?
Question :
25+25 -25 = ____
Answer:
25+25-25=25+0=25 is your answer
Answer:
25 +25-25=25
Have a nice day!
What's length RD? _ m
What's length DM? _ m
What's length RM? _ m
What's the perimeter of the triangle? _ m
Answer:
10
23
36
Step-by-step explanation:
Find m∠E
*geometry problem*
Someone plz help me giving brainliest
What must be true when solving a quadratic equation when using factoring?
The equation must be equal to
Answer:
Step-by-step explanation:
The function must be factorable.
For example, x^2 + x - 6= 0 factors to (x + 3)(x - 2) = 0 so the roots are -3 and 2.
x^2 + x - 7 = 0 will not factor so you need another method to solve this.
Help Pleaseee, i dont know how to find the period
Answer:
6 Pi
Step-by-step explanation:
The period is the length of the smallest interval that contains exactly one copy of the repeating pattern.
HELP PLEASE!! No websites allowed please, complete 1,2,3, and 4.
NO WEBSITES! OR YOU ARE REPORTED thank you
Answer:
1: 31.5. 2: 5. 3: 4.6 4: 45
36/c=45/10 please help me
Answer:
c = 8
Step-by-step explanation:
36/c = 45/10
36 * 10 = 45 * c
360 = 45c
c = 360/45
c = 8
Someone plz help me!
Answer:
srry if you still need this asnwer but here you go my grades
Step-by-step explanation:
Simplify
(20n−36)−54(35n−20)
Answer:
-1870n + 1044
Step-by-step explanation:
The area of a circle is 0.5024 square centimeters. What is the circle's radius?
There are 15 plates in a kitchen cabinet. The diameter of each plate is either 7 inches or 12 inches. The diameter of all 15 plates combined is 140 inches. Which system of equations can be can be used to find the number of 7-inch plates, x, and the number of 12-inch plates, y, that are in the cabinet? A. x + y = 140 12x + 7y = 15 B. 7x + 12y = 140 7x + 12y = 15 C. x + y = 15 7x + 12y= 140 D. x + y = 15 12x + 7y= 140
whats the answers
Answer:
37 There are 15 plates in a kitchen cabinet. The diameter of each plate is either 7 inches or
Step-by-step explanation:
12 inches. The diameter of all 15 plates combined is 140 inches.
Which system of equations can be used to find the number of 7-inch plates, x, and the
number of 12-inch plates, y, that are in the cabinet?
A
x + y = 140
12x + 7y = 15
B
7x +12y = 140
7x + 12y = 15
cx + y = 15
7x + 12y = 140
D
x + y = 15
12x + 7y = 140
Help me fast please
Answer:
81.57 cm
Step-by-step explanation:
divide the actual length by 100 =27.19
times 27.19 by 3= 81.57 cm hope this helps, have a nice day :)
find each angle measure to the nearest degree tan A = 20403 cos Z = 0.1219
Answer:
degree for A is 29° and degree for Z is 0°
someone pls just comment something again
Answer:
?
Step-by-step explanation:
Answer:
こんにちは、お元気ですか？
あなたの質問があれば、私もうまくやっています。日本での生活はとても楽しいです！日本に来てください。
Step-by-step explanation:
Solve for x and show your work! For each equation choose if there are:
• zero solutions for x • exactly one solution for x • or an infinite number of solutions for x.
3x + 5 = 7 + 3x
3x+5 = 7 + 3x
3x+5= 3x + 7
3x + 5 = 3x + 7
3x + 5 - 5 = 3x + 7 - 5
3x = 3x + 2
3x - 3x = 3x + 2 - 3x
Answer : 0 = 2
Hope this helps!
seven and twenty seven hundredths as a decimal
Answer:
7.27
Step-by-step explanation:
edge 2020
p.s. pls mark brainliest, and have a good day! :)
The quotient of 4,768 divided by 4.22 is greater than which of the following ? A. 1,000 B. 1,400 C .1,600 D. 2,000
Answer:
a.
Step-by-step explanation:
This oblique cylinder has a volume of 90\pi\text{ m}^390π m
3
90, pi, start text, space, m, end text, cubed and a base area of 12\pi\text{ m}^212π m
2
12, pi, start text, space, m, end text, squared.
whats the height?
Answer:
7.5
Step-by-step explanation:
The height of the cylinder is equal to 7.5 meters.
Given that,
An oblique cylinder has a volume of 90π m ^3 and a base area of 12π m^2.
A cylinder is defined as it is geometric shape when a rectangle sheet fold into a circular shape the figure arises looks same as the tube structure.
What is volume?Volume, is defined as the ratio of the mass of object to its density.
The volume of the oblique cylinder = height * base area
90π = 12π * height
height = 7.5 m
Hence, the height of the cylinder is equal to 7.5 meters.
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The question seems to be incomplete or improperly written,
So Correct Question could be given as,
This oblique cylinder has a volume of 90π m ^3 and a base area of 12π m^2.
what is the height of the cylinder?
Find the unit rate.
60 kilometers in 2 hours
What is the unit rate per hour.
Answer:
30 Kilometers unit rate per hour
Step-by-step explanation:
1.note its, 60K per 2 hours
2. divide 60K by 2=30 kilometers per hour(UNIT RATE FOR HOUR)
ANSWER ASAP ILL GIVE BRAINLIEST
Answer: C
Step-by-step explanation: There are 9 cards. 3 are vowels. 3/9 reduces to 1/3
Can a real person help me out all the hackers just want me to delete the app
Answer:
Question 7: x = 36
Question 4: x = 14
Question 9: D
Step-by-step explanation:
Can someone help me, please? Also, can someone explain it?
Answer:60m^2
Step-by-step explanation:you have to find the height of the triangle first which is easy bc it’s been split in half so the are now two right triangles. use the pythagorean theorem to determine the height, the height is 12, the formula for the area of a triangle is 1/2bxa and half of the base is already given to you, 5 so 5 x 12 equals 60
A small business earns a profit of $6500 in January and $17,500 in May. What is the rate of change in profit for this time period?
The rate of change in profit for this time period is per month.