(x + 2) is not a factor of the given polynomial f(x).
What is factor of polynomial?
A polynomial with coefficients in a specific field or in integers is expressed as the product of irreducible factors with coefficients in the same domain in mathematics and computer algebra, which is known as polynomial factorization.
Consider, the given polynomial
f(x)=2x^4-3x²-4x+1
We have to check that (x + 2) is a factor of polynomial or not.
Since, if (x - a) is a factor of polynomial then 'a' is a zero of polynomial.
Here if (x + 2) is a factor of f(x) then f(-2) = 0
Plug x = -2 in f(x).
⇒
f(-2) = 2(-2)^4 - 3(-2)^2 - 4(-2) + 1
= 32 - 12 + 8 + 1
= 20 + 9
f(-2) = 9
f(-2) ≠ 0
Hence, (x + 2) is not a factor of the given polynomial f(x).
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In right triangle ABC, point D is on side BC, as shown. If BC= 5 x BD and the area of Triangle ABD is 8 in2, what is the area of Triangle ABC?
Answer: 40 in2
Step-by-step explanation:
Area of a triangle = 1/2 (base)(height)
Side AB is common to both triangles
BC = 5(BD)
Area ABD = 8, therefore Area ABC = 5(8) = 40
Who said that "his life was
worth no more than other, and
his liberty as dear to him"
which gave Nat confidence in
his determination to help?
A. Sam
B. Will
C. Henry
D. Hark
Answer: Sam
Step-by-step explanation: I am pretty sure. Hope you find it helpful!
I'LL GIVE BRAINLIEST!! ANSWER THE QUESTION!!!
Part a
This represents a translation of 2 units to the right. So, the points are [tex](6, -3), (0,0), (8, -15)[/tex].
Part b
This represents a translation of 9 units up. So, the points are [tex](4,6), (-2,9), (-10,-6)[/tex].
Part c
This represents a translation of 3 units left and 1 unit down. So, the points are [tex](1, -4), (-5, -1), (-13, -16)[/tex].
A graduate student is designing a research study. She is hoping to show that the results of an experiment are statistically significant. What type of p-value would she want to obtain?.
The required type of p-value would she want to obtain is small p-value.
What is hypothesis test?Hypothesis testing is a type of measurable surmising that utilizes information from an example to make inferences about a populace boundary or a populace probability distribution. Initial, a speculative supposition that is made about the boundary or dispersion.
According to question:P-value shows that the outcomes are genuinely huge.
P-value in Measurements assists with performing speculation test and it assists with deciding the meaning of the outcomes.
A little P-value commonly (P<0.05) demonstrates solid proof against the invalid speculation in this way, we reject the invalid speculation, on opposite when P-esteem is enormous we can't dismiss the invalid speculation.
Thus, required answer is small p-value.
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If a1 =2 and an =-2an-1 then find the value of a6
The value of the sixth term of the sequence will be negative 64.
What is the sequence?A sequence is a list of elements that have been ordered in a sequential manner, such that members come either before or after.
If the first term (a₁) is 2 and the relation is aₙ = -2aₙ₋₁.
The second term is given as,
a₂ = -2a₂₋₁
a₂ = -2a₁
a₂ = -2 x 2
a₂ = - 4
The third term is given as,
a₃ = -2a₃₋₁
a₃ = -2a₂
a₃ = -2 x ( - 4)
a₃ = 8
The fourth term is given as,
a₄ = -2a₄₋₁
a₄ = -2a₃
a₄ = -2 x 8
a₄ = - 16
The fifth term is given as,
a₅ = -2a₅₋₁
a₅ = -2a₄
a₅ = -2 x (- 16)
a₅ = 32
The sixth term is given as,
a₆ = -2a₆₋₁
a₆ = -2a₅
a₆ = -2 x 32
a₆ = - 64
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Answer: -64
Step-by-step explanation:
(2/5)x2x100 divided by 2/3 +(2x4 divide by (13-5)
Answer: The answer is 121
15% of $28 =
20% of $74 =
18% of $128 =
The value of the given expression is 15% of $28 = (15×28)/100 = $4.2, 20% of $74 = (20×74)/100 = $14.8, 18% of $128 = (18×128)/100 = $23.04
What is an expression?
An expression, often known as a mathematical expression, is a finite collection of symbols that are well-formed in accordance with context-dependent principles.
Here, we have
Given the following expression and we have to find the values of given expressions.
15% of $28 = (15×28)/100 = $4.2
20% of $74 = (20×74)/100 = $14.8
18% of $128 = (18×128)/100 = $23.04
Hence, the value of the given expression is 15% of $28 = (15×28)/100 = $4.2, 20% of $74 = (20×74)/100 = $14.8, 18% of $128 = (18×128)/100 = $23.04
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Which number corresponds to the number in scientific notation? 3. 21 × 104 kg = kg 2. 0 × 10-5 l = l
Number is the equivalent of the one written in scientific notation is
3. 21 × 104 kg = kg 2. 0 × 10-5 l = l
Numbers that are either too large or too little to be conveniently stated in decimal form can be expressed using scientific notation. It can also be referred to as standard form in the UK, standard index form, or scientific form.
Using scientific notation, one can express extremely big or extremely small values. When a number between 1 and 10 is multiplied by a power of 10, the result is represented in scientific notation. For instance, 650,000,000 can be represented as 6.5 108 in scientific notation.
we have the number,
[tex]$0.000013$we know that$0.000013=\frac{13}{1000,000}=\frac{13}{10^6}=13 * 10^{-6}=1.3 * 10^{-5}$[/tex]
[tex]thereforethe answer is$1.3 * 10^{-5}$[/tex]
Numbers that are either too large or too little to be conveniently stated in decimal form can be expressed using scientific notation. It can also be referred to as standard form in the UK, standard index form, or scientific form.
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What is the domain of this relation? (0, 2) (1,9) (-9, 6) (-4, 7)?
Answer: 5 trust me
Step-by-step explanation: trust me
Wendell is looking over some data regarding the strength, measured in Pascals (Pa), of some building materials and how the strength relates to the length. The data are represented by the exponential function f(x) = 2x, where x is the length. Explain how he can convert this equation to a logarithmic function when strength is 8 Pascals.
x = ㏑₂8 in the logarithmic function.
What is a logarithmic function?A logarithmic function is the inverse of an exponential function.
Given function if f(x) = [tex]2^{x}[/tex],
When strength is equal to 8 pascals, f(x) = 8
Therefore, 8 = [tex]2^{x}[/tex]
Taking log on both sides:
ln8 = ln[tex]2^{x}[/tex]
ln8 = xln2
or x = ln8/ln2
x = ㏑₂8
Hence, the required function is x = ㏑₂8.
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Which inequality does the given graph represent?
A) y > x + 2
B) y ≤ −x − 2
C) y < x − 2
D) y ≥ x − 12
The given inequality in the graph is represented by the inequality y < x - 2. The correct option is C.
What is inequality?When two expressions are connected by a sign like "not equal to," "greater than," or "less than," it is said to be inequitable. The inequality shows the greater than and less than relation between variables and the numbers.
Given that the graph is attached to the question and shows one of the inequalities from the options.
When the inequalities are plotted on the desmos graph it is observed that the inequality which represents the graph is y < x − 2.
Therefore, the given inequality in the graph is represented by the inequality y < x - 2. The correct option is C.
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Which equation choice could represent the graph shown below?
The function representing the graph is f(x) = (x + 5)²(x - 3)². The correct option is (a).
What is a function?A function y = f(x) is a one to one relationship between two sets X and Y where the set X is called the domain and Y the range of function f(x) ans x ∈ X and y ∈ Y.
The given graph of the function cuts x axis at (-5,0) and (3,0) and y axis at (0,225) respectively.
Since the zeros of a function is the point at which it cuts the x-axis, the zeros at of the given functions are -5 and 3.
Which implies that the factors are (x + 5) and (x - 3) respectively.
The given factors are valid for options (a) and (d).
Now, at x = 0 f(x) should be 225.
It can be checked for both the options as follows,
(a) f(x) = (x + 5)²(x - 3)²
=> f(0) = (0 + 5)²(0 - 3)²
= 5² × -3²
= 225
Hence, the function that represents the given graph is f(x) = (x + 5)²(x - 3)².
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If x = 5, find the value of
a) x2
b) (x + 3)2
Answer:
25
64
Step-by-step explanation:
x^2
5^2
25
(X+3)^2
(5+3)^2
8^2
64
Hopes this helps please mark brainliest
Answer:
a) x = 25
b) 16
Step-by-step explanation:
a) x^2 = 5^2 = 25
b) (x + 3)2 = (5 + 3)2= (8)2 = 16
Patrick walk 9/10 to the gym. How far ha he walked when he ha covered 2/3 of the ditance to the gym
In linear equation, The number of miles that he walked when he was covered and 2/3 of the distance to the gym will be 7/30 miles.
What in mathematics is a linear equation?
A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept.
Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.
Patrick walks 9/10 miles to the gym.
Then the number of miles that he walked when he was covered 2/3 of the distance to the gym will be
⇒ 9 / 10 - 2 / 3
⇒ (27 - 20) / 30
⇒ 7 / 30
The number of miles that he walked when he was covered and 2/3 of the distance to the gym will be 7/30 miles.
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what is
2/4 + 2/4 - 4/7
Answer: 3/7
Step-by-step explanation:
1. We know that 2/4 + 2/4 is 1.
2. 1 can also be expressed as 7/7, because its easier to subtract 7/7 and 4/7 because they have the same denominator
3. 7/7-4/7=3/7
Answer:
3/7
Step-by-step explanation:
A number plus1/5 of the number can be expressed as
A number plus1/5 of the number can be expressed as n + 1/5n .
What is number ?A number is defined as it is an arithmetic value which is used to represent the given quantity or in making calculations. Hence, a number is a mathematical concept which is used to count, measure, and label it . Thus, we can say that numbers form the basis of mathematics.
n = number
A number in which we plus 1/5 of the number then it can be expressed as;
1 + 1/5 n
6/5 + n
n + 1/5 n
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PLEASE HELP!!!!!!!!!!!!!!!!!!!
Answer:
C
Step-by-step explanation:
x² + 6x - 7 = 0 ( add 7 to both sides )
x² + 6x = 7
to complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(3)x + 9 = 7 + 9
(x + 3)² = 16
Folgers coffee is priced at 12.88$ for 80 cups of coffee, and Seattle's best is priced at 9.00$ for 50 cups. Which brand of coffee is the better value for each cup
solve this please......
4d +7e =68
-4d-6e = -72
Answer:
d=24
Step-by-step explanation:
Why do you divide to find unit rate?
Match the equation to its description:
y=2x+3
2y=-3x-4
x--10
y-8
3y-2x+12
The equation of line is given below:
a) m = 2 , b = -3
b) m = -3/2 , b = -2
c) m = not defined , b = none
d) m = 0 , b = -8
e) m = [tex]\frac{2}{3}[/tex] , b = -4
What do you mean by equation of line?
A line equation is an algebraic representation of a set of points that together form a line in a coordinate system. A number of points that together form a line of axes, represented as a set of variables x,y, form an algebraic equation called the line equation.
Slope intercept form of the line is y = mx - b where m is the slope of the line and b is the x-intercept
a) y = 2x + 3
On comparing the equation with y = mx - b, we get m = 2 , b = -3
b) 2y = -3x -4
⇒ y = ( -3x -4 )/2
⇒ y = [tex]\frac{-3x}{2}[/tex] - 2
On comparing the equation with y = mx - b, we get m = -3/2 , b = -2
c) x = -10
⇒ x + 10 = 0
On comparing the equation with y = mx - b, we get m = not defined , b = none
d) y= 8
On comparing the equation with y = mx - b, we get m = 0 , b = -8
e) 3y = 2x + 12
⇒ y = (2x + 12)/3
⇒ y = [tex]\frac{2x}{3}[/tex] + 4
On comparing the equation with y = mx - b, we get m = [tex]\frac{2}{3}[/tex] , b = -4
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Please help!!! For what value of why must LMNP be a parallelogram?
Answer:
107 degrees
Step-by-step explanation:
The four angles of a parallelogram add up to 360 degrees. Any two adjacent angles of a parallelogram add up to 180 degrees. So y is equal to 180 degrees minus 73 degrees, which is equal to 107 degrees.
See screenshot below
l
l
\/
The roster form of the set P is; {-2, -1, 0, 1}
The builder notation of the set P is; {x : x ∈ I, −2 < x ≤ 1}
How to write set builder notations?We are told that P is the set of integers that are greater than -3 and less than or equal to 1.
Roster form of sets is done by listing the elements of the set, separated by commas, inside a set of curly brackets.
Since P is the set of integers that are greater than -3 and less than or equal to 1, then the possible numbers are; (-2, -1, 0, 1)
The roster form is; {-2, -1, 0, 1}
The builder notation of this set is;
{x : x ∈ I, −2 < x ≤ 1}
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Answer the questions about the graph shown below.
Part A) What is the price per ticket?
Part B) What equation can be used to represent the line?
Part C) If the theater were to sell 328 tickets, how much money would they make?
Part D) Is this relationship proportional? How do you know?
Therefore , the price per ticket is $12,the equation used is y=12x, the theatre made $3936 by selling 328 ticket and the relationship is proportional.
What is equation?An algebraic equation is a linear equation. Each term in a linear equation is either a constant or the result of a constant plus one variable. In the case of a linear equation with two variables, the graph is a straight line.
Here,
A) From the given we can find the price per ticket
which is => y/x
=> 60/5
=>12
Therefore the price per ticket is $12
B)The equation can be used to represent the graph is
y= 12x
C) The theater were to sell 328 tickets they would make
=> 328*12=3936
Therefore the money would they make is $3936
D)The relationship proportional as we can see from the graph
Therefore , the price per ticket is $12,the equation used is y=12x, the theatre made $3936 by selling 328 ticket and the relationship is proportional.
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Input (a): a number
Output (y): 8 less than 3 times x
The output will be if Input (x) = a number is y = 3x - 8, so option D is correct.
What is equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side. It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Given:
Input (x) = a number,
Output (y) = 8 less than 3 times x.
Assume a number x which is an input,
3 times of x = 3x,
8 less than 3 times of x = 3x - 8
Therefore, the output will be if Input (x) = a number is y = 3x - 8.
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Answer:
Hope this help :)
Step-by-step explanation:
−5 5 6 x1 1 2=? Type an integer, proper fraction, or mixed number.
Multiplying Rational Numbers Problem Solving
Answer:
-62272
Step-by-step explanation:
Multiplication on a piece of paper also a positive multiplied by a negative is negative so -556 * 112 = -66272.
simplify the expression and find domain that will make it equivalent to previous expression.
[tex]\frac{1}{a^{2}+ab } +\frac{1}{ab+b^{2} }[/tex]
Step-by-step explanation:
The answer is
[tex] \frac{1}{ab} [/tex]
because
[tex] \frac{1}{a(a + b)} + \frac{1}{b(a + b)} = \frac{1}{ab} [/tex]
Thank yuo give brainlist
list five requirements that a person should know about their pet before owning one
The five requirements that a person should know about their pet before owning one are shown below.
What is pet?An animal that you keep as a pet in your home is for your entertainment and company.
There are 5 requirements that a person should know about their pet before owning one.
Freedom from thirst and hunger All canines and felines have to have quick access to food and clean water.
Liberation from discomfort.
Freedom from discomfort, harm, or illness.
Having the ability to act normally.
Freedom from anxiety and pain.
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The radius of a circle is increasing at a constant rate of 7 centimeters per minute. At the instant when the radius of the circle is 88 centimeters, what is the rate of change of the area? Round your answer to three decimal places.
The rate of change of the area is 3868.48 cm2/min
What in math is a rate?
A rate is a unique ratio where the two words are expressed in several units. For instance, the price is 69 for 12 ounces if a 12-ounce can of maize costs 69. This is not a proportion of two comparable units, like shirts. This ratio compares two dissimilar units: ounces and cents
A = A(r) (r)
r = r(t) (t)
A = A(r(t))
The chain rule can be used to resolve this kind of issue.
Rate of area change:
(dA/dr)(dr/dt) = dA/dt
A=r2 dA/dr = 2r
dr/dt [given] = 7 cm/min
(2r)(7 cm/min) = (dA/dt)
If r = 88 cm,
dA/dt = 2π (88 cm) (7 cm/min) ≅ 3868.48 cm2/min
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