Answer:
9 x (x - 2) and (2 x - 3) (2 x + 3)
Step-by-step explanation:
Factor the following:
9 x^2 - 18 x
Factor 9 x out of 9 x^2 - 18 x:
Answer: 9 x (x - 2)
Factor the following:
4 x^2 - 9
4 x^2 - 9 = (2 x)^2 - 3^2:
(2 x)^2 - 3^2
Factor the difference of two squares. (2 x)^2 - 3^2 = (2 x - 3) (2 x + 3):
Answer: (2 x - 3) (2 x + 3)
Which angle is coterminal with 360°?
Answer:
[tex]\boxed{0}[/tex]
_________________________________________________________
For degrees, coterminal angle formula is: θ ± 360 * n For radians, coterminal angle formula is: θ ± 2π * n In the above formulas, n refers to a multiple of full rotations, which equals to 360 degrees or 2π.
⇒ θ ± 360
⇒ θ ± 2π
⇒ 0 360 degrees or 2π.
Therefore, your answer is 0
_____________________
Hope this helps!
Please mark me brainless!
can any of you help I pay you!
Answer:
Below
Step-by-step explanation:
The probability of Z given Y would be
7 out of (15+7) = 7/22
identify features of graphs and tables for linear and nonlinear relationships (example: coordinates of points; x/y intercept)
If you graph a linear characteristic you may get a immediately line. There also are nonlinear functions. If you graph the coordinates of a nonlinear characteristic you may now no longer get a immediately line.
One of the very best ways (however now no longer the handiest way) to differentiate among a linear and a nonlinear characteristic is to have a take a observe the graph of the characteristic.
A linear equation is an equation with variables whose graph is a line. The graph of the linear equation is a hard and fast of factors withinside the coordinate aircraft that every one are answers to the equation. If all variables constitute actual numbers you can graph the equation via way of means of plotting sufficient factors to understand a sample after which join the factors to encompass all factors.
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hw to solve 6x-12/3+4=18/x
The two solutions of the equation:
(6x - 12)/3 + 4 = 18/x
Are x = 3 and x = -3
How to solve the equation?Here we have the following equation:
(6x - 12)/3 + 4 = 18/x
Notice that in the right side we have x on a denominator, then x can not be zero, so x ≠ 0.
Now, let's start by simplifying the left side:
(6x - 12)/3+ 4 = 18/x
2x - 4 + 4 = 18/x
2x = 18/x
Now we can multiply both sides by x so we get:
2x^2 = 18
Now divide both sides by 2:
x^2 = 18/2
x^2 = 9
Finally, apply the square root in both sides:
√x^2 = ±√9
x = ±3
The two solutions are x = 3 and x = -3
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Liza is one year older than her sister. In four years she will be 3 times as old as she is now. How old is her sister now??
The required age of Liza's sister is given as 6 years.
Given that,
Liza is one year older than her sister. In four years she will be 3 times as old as she is now. How old is her sister now is to be determined.
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,
Here,
Let the age of Liza be x and of her sister be y,
According to the question,
x = y + 1
After 4 years,
4 + (y + 1) = 3(y + 1)
5 + y = 3y + 1
y = 2
The age of her sister now,
y = 2 + 4 = 6 years.
Thus, the required age of her sister is given as 6 years.
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A is a 7x7 matrix with three eigenvalues. One eigenspace is two-dimensional, and one of the other eigenspaces is three dimensional then it is possible that A is not diagonalizable. Select one: True False
A is a 7x7 matrix with three eigen values. One eigenspace is two-dimensional and one of the other eigenspaces is three dimensional, then it is possible that A is not diagonalizable. The given statement is true.
There are three eigen-spaces, since A has three eigen values, the dimension of each of the eigen value is atleast one as there is atleast one non-zero eigen vector in them.
It is given that one of the eigen space has dimension 2 and other one has dimension 3.
A 7 x 7 matrix is diagonalizable if and only if the sum of the eigenspaces' dimension is 7. The given matrix is diagonalizable if and only if the third eigen space has dimension 2.
In A, if the sum of dimensions of eigenspace is not equal to the number of columns, then A is not diagonalizable.
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Need help answer please!
Answer:
The second option/ B
Step-by-step explanation:
6 coins plus 4 coins is 10 coins, and you can’t forget the x amount of pennies.
Lisa creates a designer bracelets with gemstones are most recent included six bracelets and takes $12 to make one bracelet right and talking equation to represent how many stones are used for the order
Equation s/12 = 6 represents the equation on how many stones were used for the order. On solving we get 72 stones.
How to form an equation for a word problem?
Follow these steps:
Understand the problem. Understand all the words used in stating the problem. Understand what you are asked to find.
Translate the problem to an equation. Assign a variable (or variables) to represent the unknown.
Carry out the plan and solve the problem.
According to the given question:
Leslie's most recent order included a total of 6 bracelets.
It takes 12 stone to make one bracelet.
Let the total number of stones be s.
If one bracelet requires 12 stones then 6 bracelets requires 12 x 6 stones
Therefore, s = 12 x 6 or s/12 = 6
On solving to get value of s we get 12 x 6 = 72 stones.
Hence s/12 = 6 represents the equation on how many stones were used for the order. On solving we get 72 stones.
Complete question:
Leslie creates designer bracelets with gemstones. Her most recent order included a total of 6 bracelets. It takes 12 stone to make one bracelet.
Write and solve an equation that represents how many stones were used for the order.
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if these are the only constraints, which of the following points (x,y) cannot be the optimal solution?
Points (0,200) and (200,0) fall outside of the feasible region hence they cannot be the optimal solution.
For the given condition,
Points are (48,84), (0,120), (0,0), (90,0)
The objective function is,
maximize 4X + 10Y
Take point (48, 84), here X = 48 and Y = 84
Substitute values in the objective function equation as shown below;
Z = 4 * 48 + 10 * 84
= 1032
For point (0,120)
Z = 4 * 0 + 10 * 120
= 1200
For point (0,0)
Z = 4 * 0 + 10 * 0 =0
For point (90,0)
Z = 4 * 90 + 10 * 0
= 360
The value of the objective function is maximum at point (0,120). Its value is 1,200.
The viable region does not include points (0,200) and (200,0), hence they cannot be the best option.
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For a graph where would I put my point at?
(3,2)
Answer:
See below
Step-by-step explanation:
You start at the origin which is the very middle of where the x and y axis cross. The first number tells you to go right 3 spaces and the second number tells you to go 2 spaces.
Struggling again.., any help will be appreciated :(
Step-by-step explanation:
since triangles are congurent
4z- 32 = 36
z = 68/4
z= 17
6x - 29 = 115
6x = 144
x = 24
and u can find y by triangle property...... similarly.....I'm too lazy to do that
a and b are in direct proportion. the equation of proportionality is a=8b. work out the value of a when b=4.
The required value of 'a' in the equation of proportionality is 32.
What is direct proportion?
Direct proportion or direct variation is the relation between two quantities where the ratio of the two is equal to a constant value.
It is symbolised by the proportional sign ∝.
For instance, if x and y are two quantities or variables that are intimately linked to one another, we can say x & y. The ratio of x and y becomes equal to a constant when the proportionality sign is removed, for example, x/y = C, where C is a constant.
Given, a = 8b
When b = 4 then
So, a = 8*4 = 32
Hence, the required value of 'a' in the equation of proportionality is 32.
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2. Which is the slope value of the line that passes through the ordered pairs (16, -9) and (16, 13)?
m = 22
m = 0
m = 4
undefined
Answer:
slope is undefined
Step-by-step explanation:
calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (16, - 9 ) and (x₂, y₂ ) = (16, 13 )
m = [tex]\frac{13-(-9)}{16-16}[/tex] = [tex]\frac{13+9}{0}[/tex] = [tex]\frac{22}{0}[/tex]
since division by zero is undefined then slope of line is undefined.
Which expression is equivalent to Z +( z 6?
None of the solutions are appropriate since the result of the equation z + (z+6) will be equal to 2z + 6.
An expression is defined.A mathematical expression is the result of combining a number of mathematical symbols with an arithmetic operator, a variable, and a constraint.
In a different sense, expression is highly helpful in identifying the root or end value of a constraint.
for instance, 3x + 5y
The expression restriction is denoted by the symbols = or, >.
Given the phrase,
z + (z+6)
opening the bracket
z + z + 6
⇒ 2z + 6
Hence
"2z + 6 will be the value of the equation z + (z+6)."
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What is the volume in cubic centimeters of a right circular cone?; How do you find the volume of a right circular cone with a circumference?; How do you find the volume of a circular cone?; What is the volume of a cone if the height is 10 cm and the diameter is 6 cm?
The formula for the volume of a circular cone:
If the height(h) of the circular cone is given then,
V = 1/3 * π * r² * h
If the slant height(l) of the circular cone is given then,
V = 1/3 * π * r² * √(l² - r²)
the volume of a cone if the height is 10 cm and the diameter is 6 cm is 94.25 cubic centimeters
We know that a right circular cone has a circular base with the apex above the center of the base.
For a right circular cone, with radius r and height h
The formula for the volume of a right circular cone is,
V = 1/3 * π * r² * h
We need to find the the volume of a right circular cone with a circumference.
We know that circumference C = 2πr
From circumference we find the radius of circular base.
Then using the formula for the volume of a right circular cone, we find the volume.
The volume of a circular cone:
If the height(h) of the circular cone is given then,
V = 1/3 * π * r² * h
If the slant height(l) of the circular cone is given then,
V = 1/3 * π * r² * √(l² - r²)
Now we need to find the the volume of a cone if the height is 10 cm and the diameter is 6 cm
From diameter, the radius of the circular base of the cone would be,
r = 6/2
r = 3 cm
also, h = 10 cm
So, V = 1/3 * π * 3² * 10
V = 94.25 cu.cm.
Therefore, the volume of a cone if the height is 10 cm and the diameter is 6 cm is 94.25 cubic centimeters
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A. Jesse and Mya are playing the integer card game.The cards in jesse's hand are 3,-5,9 and -6.What is the total score of jesse's hand?
B. Jesse picks up two more cards but they do not affect his overall point total.State the value of each of the two cards and tell why they do not affect his overall point total?
(a) The total score of Jesse's card is 1
(b) The value of each of the two cards can either be 0 or cards with different signs
In the question,
(a) Jesse's card are 3 , -5 , 9 and -6
We have to find the total
You should know that,
Adding a positive integer is like addition but adding a negative integer is like subtraction
So, Total score = 3 + (-5) + 9 + (-6)
=> 3 - 5 + 9 - 6
=> 1
Jesse's total score is 1
(b) Jesse has picked two cards which are not affecting her total score
So, either he got two zeroes or two cards with opposite signs with same magnitudes
Like 1 and -1 etc.
The two doesn't affect his score because their effect got cancelled out
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In the xy-plane, what is the y-coordinate of the y-intercept of the graph of the equation
Answer: -6
Step-by-step explanation:
(0,y)
at y intercept, x is 0. therefore sub x with 0 and solve
y= 3(0)-12/0+2
= -12/2
=-6
write the polynomial in standard form. then classify the polynomial by degree and by number of terms x + 2x^2
The equation is therefore in Standard Form: 2 Degree :Quadratic number of terms :Binomial
What is equation?There are numerous ways to define an equation in mathematics .In algebra, a statement that mathematically establishes the equality of two mathematical expressions is known as an equation. Take into consideration the equation 3x + 5 = 14, in which 3x + 5 and 14 are two variables that are separated by the word "equal." Even the most elementary and simple algebraic equations use mathematical variables.
To construct a polynomial in standard form in this instance, you begin writing with the term having the highest degree, or exponent (in this example, the
2[tex]x^{2}[/tex] +x
word), and after that, in descending order. due to the two
[tex]x^{2}[/tex] is used to the greatest degree:
You look at the highest exponent, or degree, to categorize a polynomial. Considering that 2 is the highest exponent,
That is a quadratic equation. First few are as follows:
1- linear
2- quadratic
3- cubic
4- quartic
5- quintic
Count the terms in the polynomial to categorize it according to its term count: There are two terms in this polynomial,
2[tex]x^{2}[/tex]and x
. This is therefore a binomial.
Monomial is one term.
binary two terms
trinomial, 3 terms
4-plus terms; polynomial
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Components coming off an assembly line are either free of defects (S, for success) or defective (F, for failure). Suppose that 80% of all such components are defect-free. Components are independently selected and tested one by one. Let y denote the number of components that must be tested until a defect-free component is obtained.
(a) What is the smallest possible y value, and what experimental outcome gives this y value? What is the second smallest y value, and what outcome gives rise to it?
The smallest value of y is ______ . The outcome corresponding to this is______ .
The second smallest value of y is_________ . The outcome that corresponds to this is ______ .
(b) Determine the probability of each of the five smallest y values. You should see a pattern that leads to a simple formula for P(y), the probability distribution of y.
P(y = 1) =
P(y = 2) =
P(y = 3) =
P(y = 4) =
P(y = 5) =
Probability can be used to make predictions or decisions in a variety of situations, such as in gambling, finance, and science. In these situations, probabilities can be calculated based on statistical data or by using mathematical models.
To determine the probability of each of the five smallest y values, we can use the probability of each possible outcome and the number of ways that outcome can occur.
P(y = 1) = probability that the first component is defect-free = 0.8
P(y = 2) = probability that the first component is defective and the second component is defect-free = (1 - 0.8) * 0.8 = 0.16
P(y = 3) = probability that the first two components are defective and the third component is defect-free = (1 - 0.8) * (1 - 0.8) * 0.8 = 0.032
P(y = 4) = probability that the first three components are defective and the fourth component is defect-free = (1 - 0.8) * (1 - 0.8) * (1 - 0.8) * 0.8 = 0.0064
P(y = 5) = probability that the first four components are defective and the fifth component is defect-free = (1 - 0.8) * (1 - 0.8) * (1 - 0.8) * (1 - 0.8) * 0.8 = 0.00128
We can see that the probability of each y value is simply the probability of the previous y value multiplied by (1 - 0.8) = 0.2. This means that the probability distribution of y is given by the formula P(y) = 0.2^(y - 1) * 0.8.
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Let S be a nonempty subset of Z and let R be a relation defined on S by x R y if 3 (x + 2y). (a) Prove that R is an equivalence relation. (b) If S = (-7, -6, -2,0,1,4,5,7), then what are the distinct equivalence classes in this case?
R is equivalence relation and cl (-7) = cl(5)
cl (-6) = cl (0)
cl (-2) = cl(1) = cl(4) = cl( 7)
What is equivalence relation?A reflexive, symmetric, transitive binary connection is an equivalence relation. One such illustration of an equivalence relation is the relation of equipollence between line segments in geometry.
demonstrate the equivalence of R. We must demonstrate
1). reflexive
x +2x = 3x and 3/ 3x = 3/x +2x
(x,x) ∈ R
R is reflexive
2). symmetric
let (x,y ) ∈ R
x + 2y = 3a for some a ∈ R
consider y +2x = y + 2(3a - 2y)
6a - 3y = 3(2a - y) = 3k
3/y +2x
so (y,x) ∈ R
R is symmetric
3). transitive
(x,y) and (y,x) ∈ R
3/x+2y and 3/y+2x
x+2y =3a and y +2x = 2b for some a,b
consider x+2z = 3a - 2y + 2 (3b-y/2)
3a +3b -3y
3(a+b-y)
3/x+2z
(x,z) ∈ R
R is tansitive
so R is equivalence relation
b).S = (-7, -6, -2,0,1,4,5,7)
cl (x) = { y∈ z , x∈ y }
cl (x) = {y∈ z , x +2y = 3a}
cl (x) = {y∈ z , y = 3a - x /2}
cl (-7) = {y∈ z , y = 3a +7 /2}
cl (-7) = cl(5)
cl (-6) = cl (0)
cl (-2) = cl(1) = cl(4) = cl( 7)
R is equivalence relation
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Question 7 of 35
Use the coordinates of the labeled point to find the point-slope equation of
the line.
-5
69
5
(2,-5)
The simplest definition of point-slope form is a line equation expressed using a single line point and the line's slope.
How do you write a point slope equation?When the line to be examined's slope is known, and the provided point also serves as the y intercept, the slope intercept formula, y = mx + b, is utilized (0, b). B stands in for the y value of the y-intercept point in the formula.
An equation for a line stated using a single point on the line and the line's slope is a straightforward definition of point-slope form.
The slope is defined as the rise over run, or the proportion of the change in the y values over the change in the x values, and the point form is denoted by the letters (x,y).
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Reflecting across Both Axes Suppose (-7,3) is reflected across the x-axis, and then the y-axis. What will be the new coordinates? A. (-7,-3) B. (-7,3) C. (7,-3) D. (7,3)
The coordinates after the reflection of the points will be(7, -3).
What is reflection over axes?The reflection of point (x, y) across the x-axis is (x, -y). When you reflect a point across the y-axis, the y-coordinate remains the same, but the x-coordinate is taken to be the additive inverse.
Given that, (-7,3) is reflected across the x-axis, and then the y-axis.
When reflected across x-axis, it will be (-7, -3)
And again when reflected across y-axis it will be (7, -3)
Hence, The coordinates after the reflection of the points will be(7, -3)
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f(x) = ax^3 + bx^2 + cx + d In the polynomial above, a, b, c, and d are constants. If f(–5) = 3, which of the following must be true about f(x)? A x – 3 is a factor of f(x). B The remainder when f(x) is divided by x + 5 is 3. C x + 2 is a factor of f(x). D x + 5 is a factor of f(x).
The remainder when f(x) is divided by x + 5 is 3.
What is an Equations?
Equations are mathematical statements with two algebraic expressions on either side of an equals (=) sign. It illustrates the equality between the expressions written on the left and right sides. To determine the value of a variable representing an unknown quantity, equations can be solved. A statement is not an equation if there is no "equal to" symbol in it. It will be regarded as an expression.
we discovered that the polynomial equation is the equation that results from equating a polynomial function to zero. A linear equation results from equating a function to zero if it is a linear polynomial. We get a quadratic equation if the function is a quadratic polynomial.
f(x) = ax^3 + bx^2 + cx + d
In the polynomial above, a, b, c, and d are constants and f(-5)=3.
- 5 is the root of the given polynomial when remainder is 3 so we get the one factor of the given polynomial and that is,
x-(-5)=(x+5)
That is if f(-5)=3 it means that the remainder when f(x) is
divided by (x-(-5))=x+5 is 3
Hence, The remainder when f(x) is divided by x + 5 is 3
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The top rate paid one year for a 30 - second TV ad during the Super Bowl was 6% greater than the previous year's top rate. If the new top rate paid was $ 2.4 million, what was the top rate paid the previous year?
$2256000 is the top rate paid the previous year.
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
Given that top rate paid one year for a 30 - second TV ad during the Super Bowl was 6% greater than the previous year's top rate.
If the new top rate paid was $2.4 million then we need to find the top rate paid the previous year.
Convert 6% to the decimal by dividing with 100 is 0.06
0.06×2400000
144000
Now subtract 144000 from 2.4 million.
2400000-144000
2256000
Hence, the top rate paid the previous year is $2256000.
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Liz dives 10 feet below the surface of the water. Then she returns to the surface. Use the drop-down menus to write an expression that represents her overall change in depth.
The expression that represents her overall change in depth is given as follows:
-10 + 10.
How to represent the changes in depth?The changes in depth are represented using integer numbers, as follows:
Movement in the direction below the surface: negative value.Movement in the direction above the surface: positive value.Liz dives 10 feet below the surface of the water, hence the integer number is of:
-10.
Then she returns to the surface, that is, moving 10 feet in the direction of the surface, hence the integer number is given as follows:
10.
Then the addition operation that represents her overall change in depth
-10 + 10.
Which has a result of zero, as she finished at the same place that she started.
Missing InformationThe problem is given by the image shown at the end of the answer.
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brainly josh is 3 years older than 4 times kim's age. the sum of their ages is less than 43. select the correct inequality for the situation, then determine the oldest age kim could be.
josh is 3 years older than 4 times kim's age. the sum of their ages is less than 43. inequality for the situation, then the oldest age kim could be.
4k + 3 < 43
k < 10
We are given that Josh is 3 years older than 4 times Kim's age. We can express this as 4k + 3, where k represents Kim's age. We are told that the sum of their ages is less than 43, so we can write this as an inequality: 4k + 3 < 43. To find the oldest age Kim could be, we can solve this inequality for k. To do this, we subtract 3 from both sides, giving us 4k < 40. Finally, we divide both sides by 4, giving us k < 10. Therefore, the oldest age Kim could be is 10.
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best buy was having a sale on a bluetooth speakers they offered a 40% discount on a JBI speaker that was originally priced at $4.50. after the new sale , the discounted price of the speaker was increased by 40%, what is the new price of the speaker after this increase?
Answer:
$3.78
Step-by-step explanation:
To find the new price of the speaker after the sale, you can use the following formula:
New price = (1 + discount percentage) * (original price - discount amount)
In this case, the discount percentage is 40%, or 0.4, and the discount amount is 40% of the original price, or 0.4 * $4.50 = $1.80. Plugging these values into the formula, we get:
New price = (1 + 0.4) * ($4.50 - $1.80)
= 1.4 * $2.70
= $3.78
So the new price of the speaker after the sale and the subsequent price increase is $3.78.
Evaluate the following expression for x =1/2
8x-5
Explain answer
Answer:
-1
Step-by-step explanation:
You want to evaluate (8x -5) for x = 1/2.
EvaluationPut the value where x is in the expression, then do the arithmetic.
8x -5 = 8(1/2) -5
= 4 -5
= -1
The value of the expression is -1.
When computing standard error, if the sample size increases while the variability remains the same, then the standard error:
A) decreases
B) increases
C) remains the same
D) is about average
E) none of the above; there is no such thing as standard error
If the sample size increases while the variability remains the same, then the standard error decreases.
Standard error is defined as the measures of the preciseness of an estimate of a population mean. It can be calculated by dividing the sample standard deviation by the square root of the sample size.
SE = SD / √n
where SE = standard error
SD = sample standard deviation
n = sample size
Variability refers to the statistical dispersion of data which is expressed through the range, variance, or standard deviation.
Increasing the sample size, n, while having the same variability, will result to a lower value for the standard error.
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Solve using substitution.
4x − 10y = 10
x = –10
Answer:
x=−10,y=−5
Step-by-step explanation: