Answers
The possible rational zeros of the given polynomial are given by: p/q = ±1, ±2, ±3, ±6
What is a polynomial ?
Polynomial can be defined as expression in which combination of variables and coefficients
A rational zero of a polynomial is a rational number that, when plugged into the polynomial, results in zero. To find all possible rational zeros of a polynomial, we can use the Rational Root Theorem.
According to the Rational Root Theorem, if a rational number "p/q" is a zero of a polynomial, where p and q are integers and q ≠ 0, then p must be a factor of the constant term (in this case, 6) and q must be a factor of the leading coefficient (in this case, 2).
So, the possible rational zeros of the given polynomial are given by:
p/q = ±1, ±2, ±3, ±6
We can then test each of these values to see if they are actually zeros of the polynomial. To do this, we simply plug in the value and simplify. If the result is zero, then the number is indeed a zero of the polynomial.
For example, plugging in p/q = -1, we get:
2(-1)^5 + 4(-1)^4 - 3(-1)^2 + (-1) - 6 = 2 - 4 - 3 + 1 - 6 = -14,
which is not equal to zero, so -1 is not a zero of the polynomial.
By testing each of the possible rational zeros in a similar way, we can determine which ones are actually zeros of the polynomial.
Therefore, The possible rational zeros of the given polynomial are given by: p/q = ±1, ±2, ±3, ±6
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Related Questions
Yolanda is building a fence around her garden. For every 2 feet of fencing, the cost is 12.
Complete the table below showing the length of the fence and the cost.
Answers
The complete table:
The fence → cost
3 → $18
5 → $30
7 → $42
What is division?The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.
Given:
Yolanda is building a fence around her garden.
For every 2 feet of fencing, the cost is 12.
The unit rate = 12/ 2 = $6 per feet
The complete table:
The fence → cost
3 → $18
5 → $30
7 → $42
Therefore, the complete table is given above.
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factor the trinimial x2-2x-35
Answers
The factored form of the trinomial x² - 2x - 35 is ( x - 7 )( x + 5 ).
How to determine the factor of a trinomial?Given the trinomial in the question;
x² - 2x - 35
To simplified in a factored form,
Consider the trinomial in its standard form; ax² + bx + c.
Now, find a pair of integers whose product is c and whose sum is b.
In this case, we use -7 and 5
The product of -7 and 5 = -35
The sum of -7 and 5 = -2
Next, we write the factored form using the integers -7 and 5
( x - 7 )( x + 5 )
Therefore, the factored form is ( x - 7 )( x + 5 ).
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solve
2x + y = -3
3x - 2y= -22
Answers
Answer: x = -4
Step-by-step explanation: Multiply both sides of the top equation by 2 so you can cancel the y's.
4x + 3x = -28.
7x = -28
x = -4
Please help meeee!!! I will give brainliest.
Answers
Answer:
It is 35 degrees that is the answer
Answer:
A
Step-by-step explanation:
We need to know that angles in a rhombus add up to 360!
To find m∠JKM we have to divide m∠JML by 2.
This is because opposite angles in a rhombus must be equal meaning that the line going from one end of the rhombus to the other end must be exactly in half!
We are told that m∠JML = 70°...
70 ÷ 2 = 35Our answer is A!!!!Have a lovely day :)
What is the area of this polygon?
Enter your answer in the box,
units?
Answers
Answer: it's 39.
Step-by-step explanation: for this figure, you want to divide it into two parts: The triangle and the rectangle.
The triangle has a base of 6, and a height of 3.
The formula for area of a triangle is 1/2 bh.
So the area of the triangle is 9!! 6 x 3 is 18.. divided by two is 9.
Then the rectangle, a= b(h)
the height is 6 while the base is 5.
When you multiply thsoe two you get 30.
FIND THE ERROR
Please help me
Answers
For given triangles, The correct proportion will be 16/12=18/x.
What is a triangle?
In Geometry, triangles are the type of polygons, which have three sides and three vertices. This is a two-dimensional figure with three straight sides. A triangle is considered a 3-sided polygon. The sum of all the three angles of a triangle is equal to 180°. The triangle is contained in a single plane. Based on its sides and angle measurement, the triangle has six types.
Based on the sides of a triangle, a triangle is classified into 3 types, namely:
Scalene Triangle – All the sides are of different measures.
Isosceles Triangle – Two sides of a triangle are of the same measure and the remaining side has a different measure.
Equilateral Triangle – All the 3 sides of a triangle are of the same measure.
Based on the angles of a triangle, a triangle is classified into 3 types, namely:
Acute Angle Triangle – All the angles of a triangle is less than 90°.
Obtuse Angle Triangle – One of the angles of a triangle is greater than 90°.
Right Angle Triangle – One of the angles of a triangle is equal to 90°.
Now,
For given triangles ABC and DEF
as ABC ≅DEF
Then AB=DE, BC=EF AND AC=DF
given BC=16, EF=12 and DE=18 then AB=?
Let AB=x then
16/12=18/x as ABC ≅DEF
Hence,
The correct proportion will be 16/12=18/x.
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Which shows the expression below simplified?
(6 × 10^7) × 0.007
A.
1.3 x 10^-21
B.
4.2 x 10^4
C.
4.2 x 10^-21
D.
4.2 x 10^5
Answers
Answer:
The expression (6 × 10^7) × 0.007 simplified is 4.2 x 10^5.
Step-by-step explanation:
1 6/11 ft of fabric is needed to make a rug? while 4 1/2 ft of fabric is required to make pillows/ Producing a rug is 2 2/7 times faster than pilliws/ How much more fabric is needed to make pillows versus a rug
Answers
3.1 ft more fabric should be produced to make pillows versus a rug.
What is a fraction?A fraction is a number expressed in the form of {x/y}, where y ≠ 0.
Given is that 1[tex]\frac{6}{11}[/tex] ft of fabric is needed to make a rug while 4[tex]\frac{1}{2}[/tex] ft of fabric is required to make pillows. Producing a rug is 2[tex]\frac{2}{7}[/tex] times faster than pillows.
We can write -
1[tex]\frac{6}{11}[/tex] x 4[tex]\frac{1}{2}[/tex] = 2[tex]\frac{2}{7}[/tex] x {y}
{17/11 x 9/2} = {16/7 y}
{y} = {6.96 x 7}/16
{y} = 3.1
Therefore, 3.1 ft more fabric should be produced to make pillows versus a rug.
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If the 8th term of an A.P is three times the 4th term,find the equation connecting a and d where a is the first term and d is the common difference
Answers
The equation connecting a and d where a is the first term and d is the common difference is; a + d = 0
How to find the nth term of an arithmetic sequence?
The formula for the nth term of an arithmetic sequence is expressed as;
aₙ = a + (n - 1)d
where;
a is first term
d is common difference
n is position of term
Thus;
a₈ = a + 7d
a₄ = a + 3d
The 8th term of an A.P is three times the 4th term. Thus;
a + 7d = 3(a + 3d)
a + 7d = 3a + 9d
3a - a = 7d - 9d
2a = -2d
a = -d
a + d = 0
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Simplify the expression:
2.5(6.1 - 2.3h)
Answers
Answer:
15.25 - 5.75 h
this my be it but i'm not shore
24,783 is invested, part at 15% and the rest 9%. If the interest earned from the amount invested at 15% exceeds the interest earned from the amount invested at 9% by $894.09, how much is invested at each rate?
Answers
If 24,783 is invested, part at 15% and the rest 9%. If the interest earned from the amount invested at 15% exceeds the interest earned from the amount invested at 9% by $894.09: 51,960 is invested at 15%, and 22,823 is invested at 9%.
How to find the amount invested?Let's x represent the amount invested at 15%
Let the amount invested at 9% = 24,783 - x.
Interest earned at 15% is 0.15 * x
Interest earned at 9% is 0.09 * (24,783 - x)
We can set up the equation: 0.15x = 0.09 * 24,783 - 0.09x + 894.09
Solving for x:
0.06x = 24,783 * 0.09 + 894.09
0.06x = 2223.47 + 894.09
0.06x = 3117.56
x = 51,960
So,
(24,783 - x)
24,783 - 51,960
= 22,823
Therefore 51,960 is invested at 15%, and 22,823 is invested at 9%.
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4. Don deposited $5500 in an account earnings 5.5 % interest. How long will it take for his investment
to earn $205 in interest? Round to the nearest day. Assume this is ordinary interest.
Answers
Rounding to the nearest day, the answer is 37 days.
What do you mean by interest?Interest is a fee charged by a lender to a borrower for the use of money. It is typically a percentage of the amount borrowed and is paid periodically, such as monthly or annually. Interest is calculated based on the principal amount, which is the original sum of money borrowed, and the interest rate, which is the percentage charged for borrowing the money. Interest is a way for lenders to earn income on their investments, and for borrowers to pay for the use of money they do not currently have. There are different types of interest, such as simple interest, which is calculated only on the original principal, and compound interest, which is calculated on both the principal and any accumulated interest.
To find out how long it will take for Don's investment to earn $205 in interest, you can use the formula:
time = (interest earned) / (annual interest rate * balance)
First, you need to convert the interest rate from a percentage to a decimal by dividing it by 100: 5.5% ÷ 100 = 0.055.
Next, you can plug in the values:
time = $205 / (0.055 * $5500)
time = 0.03727272727 years, or approximately 37.2727272727 days.
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How do you write 9.2 in words? IXL
Answers
That’s all I thought of
solve the following for x
Answers
Answer:
x = 27
Step-by-step explanation:
[tex]\displaystyle 4x^{\frac{2}{3}}-5=31\\4x^\frac{2}{3}=36\\x^{\frac{2}{3}}=9\\x=9^\frac{3}{2}\\x=27[/tex]
If ya know how to do this help college algebra
Answers
The equation of the line passing through point (-8, 7) and parallel to a line -9x+8y = -24, is y = 9x/8 + 16
What is slope-intercept form?The meaning of slope-intercept form is the equation of a straight line in the form y = mx + b where m is the slope of the line and b is its y-intercept.
Given that, a line is passing through point (-8, 7) and parallel to a line -9x+8y = -24,
We need to find the equation of the line,
Converting the parallel line equation into slope-intercept form,
-9x + 8y = -24
8y = 9x - 24
y = 9x/8 - 3
Here, slope = 9/8
We know that, two lines which are parallel have equal slopes,
Therefore, the slope for the asked line is 9/8
Now, the equation of line is =
y = 9x/8 + c
To find c, put x = -8 and y = 7 in the equation,
7 = -9 + c
c = 16
Therefore, the equation =
y = 9x/8 + 16
Hence, the equation of the line passing through point (-8, 7) and parallel to a line -9x+8y = -24, is y = 9x/8 + 16
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What is the constant proportional of 1.5 and 3.9
Answers
The constant of proportionality is the ratio between two quantities that are in proportion. If two quantities are proportional, their ratio is always the same, and this constant ratio is called the constant of proportionality.
Given the two quantities 1.5 and 3.9, the constant of proportionality can be found by dividing one by the other:
k = 3.9 / 1.5
k = 2.6
So the constant of proportionality between 1.5 and 3.9 is 2.6.
For example:
1.5 / 3.9 = 0.3846
So, the constant proportion between 1.5 and 3.9 is 0.3846. This means that for every 1.5 units, there are 3.9 units. This relationship can be expressed as a ratio:
1.5 : 3.9 = 0.3846
If we compare this ratio to other pairs of values, we can see if it remains constant. For example, if we multiply both values by the same amount, the ratio should remain unchanged:
(1.5 * 2) / (3.9 * 2) = 3 / 7.8 = 0.3846
So, the ratio remains constant, and the constant proportion between 1.5 and 3.9 is 0.3846
Ted places $1500 in a ten-year certificate of deposit (CD) account at a local bank. The CD account earns interest, compounded annually, at the same rate for 10 years. Let A(n) represent the amount, in dollars, in Ted's account after n years between n = 0 to n = 10. Part A: Write an explicit expression for the function A(n) if Ted's account has $1535.25 after 1 year. Part B: Explain how you determined your answer.
Answers
Part A. An explicit expression for the function A(n), the final amount (future value) after n years is 1,500 x 1.0235^n.
Part B. The function for determining the future value of the CD at 2.35% annual compounded interest rate is derived by comparing the present value and the future value and using the difference to calculate the compound interest rate.
What is the future value?The future value is the present value compounded at an interest rate.
The future value formula or function is as follows:
FV = PV(1+r)^{n}
FV = future value
PV = present value
r = annual interest rate
{n} = number of periods interest held
Initial deposit in a ten-year certificate of deposit (CD) = $1,500
Deposit period = 10 years
Amount after 1 year = $1,535.25
Compound interest rate = 2.35% annually ($1,535.25 - $1,500)/$1,500 x 100)
Function for A(n) = 1,500 x 1.0235^n
Thus, from the future value after 1 year, we can derive the compound interest rate.
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Shipping costs $6 on purchases up to $50, $8 on purchases over $50 and up to $100, and $10 on purchases over $100 and up to $200. Write a function for the cost C (x) of shipping based on the purchase price x.
Answers
Answer:
f(x) = {
C(x) = 6, 0 < x ≤ 50
C(x) = 8, 50 < x ≤ 100
C(x) = 10, 100 < x ≤ 200
}
Step-by-step explanation:
triangle with base 7.5 m and height 1.6 m The area of this triangle is ? m2.
Answers
Answer: [tex]6 \text{ m}^2[/tex]
Step-by-step explanation:
[tex]A=\frac{1}{2}bh=\frac{1}{2}(7.5)(1.6)=6 \text{ m}^2[/tex]
Fill in each blank so that the resulting statement is true.
The shaded set of numbers shown on the y-axis on the graph can be expressed in interval notation as _______. This set represents the function's _______.
Answers
The shaded set of numbers shown on the y-axis on the graph can be expressed in interval notation as interval notation as
{y∣-11≤y<∞} or [-11,∞). This set represents the function's range.
How to explain the informationEndpoints that are part of an interval are indicated by square brackets. Endpoints that are not part of an interval are indicated by parentheses. When using or, parentheses are always used.
As a result, the set of shaded numerals displayed on the interval notation can be used to express the y-axis as {y∣-11≤y<∞} or [-11,∞)
This set displays the functional domain.
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What do you know to be true about the values of p and q?
pº
80⁰
20⁰
45°
55
q
A. p
B. p= q
C. p> q
D. Can't be determined
Answers
The value of p and q are set to be equal ( option B)
What is the sum of angle in a triangle?A triangle is a closed, 2-dimensional shape with 3 sides, 3 angles, and 3 vertices. A triangle is also a polygon.
The sum of angles In a triangle is 180.
Therefore to find p
p+80+20 = 180
p = 180-(100)
p = 80
To find angle q
q+45+55 = 180
q = 180-(45+55)
q = 180-100
q = 80
q = 80= p
therefore the values of p and q are equal
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9(98) using the distributive property
Answers
Answer: 882
Hope this helps :)
Step-by-step explanation:
Since there is only one other term in the parenthesis, there will only be one step.
Distribute the 9 to 98.
9 * 98 = 882
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{9(98)}\\\mathsf{= 98(9)}\\\mathsf{= 98 + 98 + 98 + 98 + 98 + 98 + 98 + 98 + 98}\\\mathsf{= 196 + 196 + 196 + 196 + 98}\\\mathsf{= 392 + 392 + 98}\\\mathsf{= 784 + 98}\\\mathsf{= 882}\\\\\\\\\huge\text{Therefore your answer should be:}\\\\\huge\boxed{\mathsf{882}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
The cheerleaders are having a fundraiser for new uniforms. They are selling pizzas at the football game on Friday night. The cheerleading coach put an amount of money in the money box before the sale to use for change. During the game, the cheerleaders take turns selling pizzas. When the girls finish their turn selling, they chart the ongoing total pizza sales and money in the box. Some of the data are shown below. PLEASE PLEASE HELP
Answers
Answer: pls see the analysis.
Step-by-step explanation:
Raina, Kareem, and Eric have a total of $138 in their wallets. Raina has 6 more than Kareem. Eric has 4 times what Kareem has. How much does each have?
Answers
Kareem has $22, Raina has $28, Eric has $88.
What is Algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.
Variables are the name given to these symbols because they lack set values.
In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.
Given:
Raina, Kareem, and Eric have a total of $138 in their wallets.
let Kareem has x dollar.
Then Raina has (x+6) dollar
and, Eric has 4x dollar
So, x+ 4x + x + 6 = 138
6x + 6 = 138
6x = 132
x= 22
Thus, Kareem has $22.
Raina has = 22 +6 = $28
and, Eric has =4x = $88
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Tentukan!!! A. Sin A tos A dam tg A
Answers
Answer: if u don't know that this language is than ill tell u.
its just random words that someone typed in. I'm being honest this is not a language this is some random typed words. trust me pls I'm being honest fr.
Step-by-step explanation: what I did was going a a type of book that has all the language on it so u get to know the language.
What is the slope-intercept equation of the line that includes (0, 12) and
(4,36)?
Answers
The slope-intercept equation of the line that includes the points (0, 12) and (4, 36) is y = 6x + 12.
What is the point-slope form?Mathematically, the point-slope form of a straight line can be calculated by using this mathematical expression:
y - y₁ = m(x - x₁) or y - y₁ = (y₂ - y₁)/(x₂ - x₁)(x - x₁)
Where:
m represents the slope.x and y are the points.Next, we would determine the linear equation representing the line which passes through the points (0, 12) and (4, 36) by using the point-slope form as follows:
y - y₁ = (y₂ - y₁)/(x₂ - x₁)(x - x₁)
y - 12 = (36 - 12)/(4 - 0)(x - 0)
y - 12 = 6(x - 0)
y = 6x + 12
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What is the answer???
Answers
Answer:
vjjvwplast
Step-by-step explanation:
past I 1 days its just is right
I NEED HELP W THIS.............
Answers
The equation of the line that is parallel to 2x - y = 7 and passes through the point (10, 0) is y = 2x - 20.
What is a Linear equation?A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. Sometimes, the aforementioned is referred to as a "linear equation of two variables," with y and x serving as the variables.
To find an Equation that is parallel to 2x - y = 7 and passes through the point (10, 0)
Since, Both equations are parallel thus, the slope of the given equation will be the Same.
equation of the first line in slope intercept form: y = 2x - 7
Thus, Slope = 2
From the general formula of the linear equation in slope-intercept form:
y=mx+b,
where m is the slope
b is the y-intercept
in our case,
Slope = 2
So Line,
y = 2x + b
Since line passes through (10, 0)
b= -20
Thus,
Equation of line y = 2x - 20
Therefore, The equation of the line that is parallel to 2x - y = 7 and passes through the point (10, 0) is y = 2x - 20.
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please help fast here is screesnshot
Answers
The standard form of the given quadratic equation is;
x² - x - 6
What is the standard form of the quadratic equation?The standard form of a quadratic equation can be written in the form;
ax² + bx + c =0 (In terms of variable x), where a ≠ 0.
The equation is expressed in the question as;
(x + 2)(x - 3)
To convert to standard form, we will just multiply out the bracket to get;
x² + 2x - 3x - 6
= x² - x - 6
Thus, that final expression is the standard form of the given quadratic expression
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Which shows a proportional relationship represented by the equation y = 1/2x
Answers
The relationship is proportional, when, there is no added constant, which shows a proportional relationship represented by the equation y = 1/2x.
What is proportion?Proportion is a mathematical comparison between two numbers. According to proportion, if two sets of given numbers are increasing or decreasing in the same ratio, then the ratios are said to be directly proportional to each other. Proportions are denoted using the symbol "::" or "=".
here, we have,
y = 1/2x
If the relationship is proportional, there is no added constant. The relation that is proportional is ...
y = 1/2x
Hence, The relationship is proportional, when, there is no added constant.
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