Consider the polynomial shown
p(x)=2x^4-8x^3+6
Answers
The zeroes for the given polynomial will be 1 and 3.
What is a polynomial?Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order.
[tex]\rm a_1x+a_2x^2+a_3x^3+a_4x^4..........a_nx^n[/tex]
It is given that the polynomial is, p(x)=2x⁴-8x³+6
[tex]=2x^4-8x^3+6 \\\\ =2\left(x^4-4x^3+3\right) \\\\ =2\left(x-1\right)\left(x^3-3x^2-3x-3\right) \\\\ 2(x-1)+x^2(x-3)-3(x-3) \\\\ x =1 \\\\ x = 3[/tex]
Thus, the zeroes for the given polynomial will be 1 and 3.
The question is incomplete the complete question is"Consider the polynomial p(x)=2x⁴-8x³+6
a. Graph p(x)=2x⁴-8x³+6, and find the real zero of polynomial p.
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Related Questions
Im stuck on this ones i dont know how to get the answers
Answers
The measurements of [x] and [y] are 37 and 61 respectively.
What is Parallelogram? What is triangle?In Euclidean geometry, a parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure. A triangle is a polygon with three edges and three vertices. The sum of all the angles of a triangle is 180 degrees. Mathematically -
∠x + ∠y + ∠z = 180°
There are different types of triangles such as -
equilateral triangle , scalene triangle , isosceles triangle etc.
Given are two triangles as shown in the figure.
Triangles ΔMPN and ΔSTU are congruent. We can write -
2x - y = 13
2x - 50 = 24
Now -
2x - 50 = 24
2x = 74
x = 37
then -
2 x 37 - y = 13
74 - 13 = y
y = 61
Therefore, the measurements of [x] and [y] are 37 and 61 respectively.
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Helpgggggggggyyuuh
Gggggggggygggggggfffff
Answers
Answer:
I believe the answer is 15.
Step-by-step explanation:
let me know if I am correct.
Solve the radical equation. Please explain each step in detail.
Answers
Answer:
[tex]x=\frac{1}{2}[/tex]
Step-by-step explanation:
Even roots can NEVER have a negative result, therefore the value of x can ONLY be positive values.
Multiply. 2u*3u^2 please help me
Answers
Answer: 6u^3
Step-by-step explanation:
You have to add the exponents when you multiply them.
But before that, you can multiply the coefficients of 2 and 3 so you get 6.
Now you have u and u^2 left.
u = u^1
u^2 = u^2
1+2 =3
. Lin's family has completed 60% of a trip. They have traveled 30 miles
How many miles is the trip?
A 50 miles
B. 48 miles
C. 30 miles
D. 18 miles
Answers
Answer: A 50 miles
Step-by-step explanation:
Its A becuase 60%=0.6 and 0.6 times 50 is 30 which means 60 percent of 50 is 30.
Simplify to create an equivalent expression 7n-(4n-3)
Answers
The expression 3(n + 1) is equivalent to the given expression 7n-(4n-3).
What is the expression?Expressions are defined as mathematical statements that have a minimum of two terms containing variables or numbers.
The expression is given in the question following:
7n - (4n-3)
We have to determine the equivalent expression
As per the question, we have
⇒ 7n - (4n-3)
Open the parentheses and distribute the negative sign,
⇒ 7n - 4n + 3
⇒ 3n + 3
⇒ 3(n + 1)
Thus, the expression 3(n + 1) is equivalent to the given expression.
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Given the table below, write a linear equation that defines the
dependent variable, c, in terms of the independent variable, a.
Someone help I’ll give brainliest only need the answer no need for steps
Answers
Answer:
c = -1.75a + 15
Write an equation that represents the line. Use exact numbers.
Answers
Answer:
[tex]y=-\dfrac{1}{3}x+5[/tex]
Step-by-step explanation:
A line's slope is defined as rise over run.
The rise and run between the coordinates (0, 5) and (3, 4) is:
rise: -1
run: 3
Therefore, the slope of the line is -1/3. This is what x is multiplied by.
Next, to find what is added to x, find where the line crosses the y-axis. IN this case, that point is when y = 5, so in the second blank put 5.
Find the x-intercept of the line 14x–11y= – 1.
Answers
Answer:
x- intercept = - [tex]\frac{1}{14}[/tex]
Step-by-step explanation:
to find the x- intercept, that is where the line crosses the x- axis, let y = 0 in the equation and solve for x
14x - 11(0) = - 1
14x = - 1 ( divide both sides by 14 )
x = - [tex]\frac{1}{14}[/tex] is the x- intercept
en una expresion algebraica la reduccion de terminos semejantes se da entre los terminos de igual
Answers
Answer:990
990
990
990
990
990
Step-by-step explanation:
Answer:
Variable y exponente.
Step-by-step explanation:
En una expresión algebraica la reducción de términos semejantes se da entre los términos de igual variable o incógnita y exponente.
Por ejemplo:
3x² + 5x²
se pueden reducir pues tienen la misma variable x y el mismo exponente 2, su resultado se genera solo sumando, restando, los coeficientes, en este caso 3 y 5
3x² + 5x² = 8x²
En el caso:
3y² + 5x²
No se puede reducir pues la variable o incógnita no son iguales:
x≠y
En el caso:
3x² + 5x³
No se pueden reducir pues su exponente no es igual.
Your friend bought a new pair of shoes. He said the regular price was $75 but he got a 40% discount from the sales clerk. What is the sale price of the shoes
Answers
Answer:
40% off of 75 is 45$
Step-by-step explanation:
Divide the number by 100 (move the decimal place two places to the left).Multiply this new number by the percentage you want to take off.Subtract the number from step 2 from the original number. This is your percent off number.Ingrid wants to buy a $20000 car in 8 years. How much money must she deposit at the end of each quarter in an account paying 5.9% compounded quarterly so that she will have enough to pay for her car?
Answers
Ingrid must deposit $402.74 at the end of each quarter for 8 years in order to have enough money to pay for her car.
NEED AN ANSWER PLEASE HELP!!
Answers
Answer:
5.12
Step-by-step explanation:
If u times 1.6 and 3.2 you get 5.12 also i got it correct on my test
20 points and brainliest
Answers
An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
-2x + 8 = -2x + 8
-2 makes the equation equal.
Option A is the correct answer.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x + 4 = 6 is an equation.
We have,
-2x + 8 = __x + 8
The equation has infinitely many solutions when both sides of the equation are equal.
Now,
-2x + 8 = -2x + 8 is equal on both sides.
Thus,
-2x + 8 = -2x + 8
-2 makes the equation equal.
Option A is the correct answer.
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Write an equation of the line that passes through the pair of points. (5/12, −1), (−3/4, 1/6)
Answers
Answer:
[tex]y=-x-\frac{7}{12}[/tex]
Hope this helps!
Andrew decided so joys a tenner clench. Below is a chart that displays how many games of lenis he has played and the meatal cost of playing those panes. In this scenario, C ( y ) represents the total cost for playing games.
Answers
The linear function that represents the situation is of:
C(y) = 13y + 145.
The intercept is of:
C(0) = 145, meaning that the flat fee to pay the game is of $145.
What is the linear function?The slope-intercept representation of a linear function is given by the rule presented as follows:
y = mx + b
The coefficients of the function and their meaning are listed as follows:
m is the slope of the function, representing the rate of change of the function.b is the y-intercept of the function, representing the initial value of the function.Two points of the function, from the table, are given as follows:
(8, 249) and (13,314).
The slope is given by the change in y of the two points divided by the change in x, hence:
m = (314 - 249)/(13 - 8) = 13.
Hence:
C(y) = 13y + b
When y = 8, C(y) = 249, hence the intercept b of the function is obtained as follows:
249 = 13(8) + b
b = 249 - 13 x 8
b = 145.
Meaning that the flat fee to pay the game is of $145.
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I need help on my homework ASAP!! PLEASE HURRY I HAVE 20 MINUTES
Answers
Answer: 10) 18x+21 11) 20 + 30a 12) 8x + 10y
Step-by-step explanation:
Distributive property means to multiply each number within the parenthesis by the number outside of the parenthesis.
10) 3(6x + 7)
3*6x + 3*7
18x + 21.
With that, you should be able to see how the other questions were answered.
(9√-81)(-10√64) is the answer -6480i? im confused
Answers
[tex]i=\sqrt{-1}[/tex]
Solving the Question[tex](9\sqrt{-81})(-10\sqrt{64})[/tex]
⇒ Take out i from the first square root:
[tex]= (9i\sqrt{81})(-10\sqrt{64})[/tex]
⇒ Evaluate the square roots:
[tex]= (9i\times9)(-10\sqrt{64})\\= (9i\times9)(-10\times 8)[/tex]
⇒ Multiply:
[tex]= (81i)(-10\times 8)\\= (81i)(-80)\\= -6480i[/tex]
Answer-6480i
You are planning a picnic for Memorial Day. You need to buy enough hot dogs and hamburgers so that each of your 10 guests can have two servings. You determined that hot dogs cost $0.40 each and hamburgers cost $0.80 each. You have $12 to spend on the hamburgers and hot dogs. How many hot dogs and how many hamburgers should you buy?
Answers
Answer:
hamburgers cost $0.80 each
Step-by-step explanation:
A rectangular piece of metal is 9 centimeters long and 6 centimeters wide. What is its area?
Answers
Answer:
54
Step-by-step explanation:
9x6
how much would it cost to replace all the windows on all the building in the united states?
Answers
The cost to replace all the windows on all the building in the United States is $7,200,000.
What is the expression to find the total cost?Expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both.
Given that the cost to replace a window is $3 per window. IT should be noted that when there are 2,400,000 windows, the cost to replace all the windows on all the building in the United States will be:
= Cost of replacement × Total window
= $3 × 2,400,000
= $7,200,000
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The cost to replace a window is $3 per window. If there are 2,400,000 windows, how much would it cost to replace all the windows on all the building in the United States?
“Benjamin Franklin was born in Milk Street, Boston, on January 6, 1706. His father, Josiah Franklin, was a tallow chandler [candle maker] who married twice, and of his seventeen children Benjamin was the youngest son. His schooling ended at ten, and at twelve he was bound apprentice to his brother James, a printer, who published the ‘New England Courant.’ To this journal he became a contributor, and later was for a time its nominal editor. But the brothers quarreled, and Benjamin ran away, going first to New York, and thence to Philadelphia, where he arrived in October, 1723.”
Which is the best summary of this excerpt?
Benjamin Franklin was born in 1706. He went to Philadelphia in 1723 after a fight with his brother.
Benjamin Franklin, born in Boston in 1706, was the youngest of his father’s seventeen children. He stopped going to school at age ten, and soon after started apprenticing for his brother James, a printer, who published the “New England Courant.” Franklin became a writer and editor for the paper, but left Boston for Philadelphia in 1723 after an argument with James.
Benjamin Franklin, born in 1706, lived in Boston, New York, and Philadelphia in his early life.
Benjamin Franklin was born in Boston in 1706. He was the youngest of his father’s seventeen children. His father, Josiah, was a candle maker. Franklin’s schooling ended at age ten, and at age twelve, he started apprenticing for his brother James, who published the “New England Courant.” After apprenticing, Franklin started contributing to the paper. Later, he became an editor.
Answers
Correct answer: Benjamin Franklin held different jobs at "New England Courant".
Write an expression to represent: 4 less than the quotient of x and 5.
Answers
x/5 - 4 represents 4 less than the quotient of x and 5.
A movie theater sells popcorn in a reusable bucket for $3.50. They offer refills for $2.50 each.
Write an equation in slope-intercept form to model the cost in dollars, y, for x refills.
Answers
The linear function that models the problem of movie theater sells popcorn is
y = 2.50x + 3.50 How to model the required equationA linear function consists of functions where the variables has exponents of 1.
The graph of linear functions is a straight line graph and the relationship is expressed in the form.
y = mx + c
definition of variable to suit the problem
y = output variable
m = slope
x = input variable
c = y intercept
The equation as described in the problem is represented using linear function as as follows
c = cost of the bucket = $3.50
m = cost of refills = $2.50
y = 2.50x + 3.50
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4. Solve the quadratic equation 4x² + 7 = 25.
Answers
use the formula 「x= [-b±✓(b²-4ac)]/2a」a= 4, b= 0, c= -18x= [-0±✓(0²-4(4)(-18))]/2(4)x= 2.1213... , x= -2.1213...
Please help this is URGENT
Answers
TQ/VQ=TV/VR is true for the given triangle. Option B is correct
What is Triangle?A triangle is a three-sided polygon that consists of three edges and three vertices.
Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion .
Two pairs of corresponding angles are equal
Three pairs of corresponding sides are proportional
Two pairs of corresponding sides are proportional and the corresponding angles between them are equal.
From these we can say that the sides TV is proportional to Rs and TQ is proportional to VQ
Hence, TQ/VQ=TV/VR is true for the given triangle. Option B is correct
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I need help please help me with this
Answers
Answer:
67.38°
Step-by-step explanation:
AD = DB = 24/2 = 12
<bcd = 12/5
< bcd = 67.38°
"Use the given conditions to write an equation for x-intercept = -3/8 and y-intercept = 4 Write an equation for the line in point-slope form.
(Simplify your answer. Use integers or fractions for any
"
Answers
Answer:
y - 4 = 32/3 x
Step-by-step explanation:
A (-3/8; 0)
B (0; 4)
slope = (4-0)/(0-(-3/8)
4/3/8
4 * 8/3
32/3
y-4 = 32/3 (x-0)
y -4 = 32/3 x
Explain how to find the distance between 1 and -3 on a number line.
Answers
Answer:
count backwards
Step-by-step explanation:
1, 0, -1, -2, -3
Answer:two ways
Step-by-step explanation: you can either count the spaces or you could just add until you get one of the answers -3 +4 =1 1- 4=-3
help meeeeeeeeeeeeeeee pleaseeeeeeehelp meeeeeeeeeeeeeeee pleaseeeeeeehelp meeeeeeeeeeeeeeee pleaseeeeeeehelp meeeeeeeeeeeeeeee pleaseeeeeeehelp meeeeeeeeeeeeeeee pleaseeeeeeehelp meeeeeeeeeeeeeeee pleaseeeeeee
Answers
Answer:
500 rounded to the nearest tenth equal 500