use the slope formula
5 - 9/4-2 = -4/2 = -2
slope = -2
what order do these go in?
For [tex]4x + 2x^2(3x-5)[/tex] : degree = 3, number of terms = 3, so the answer is 3 and 3.
For [tex](-3x^4 + 5x^3 - 12) + (7x^3 - x^5 + 6)[/tex]: degree = 5, number of terms = 4, so the answer is 5 and 4.
For [tex](3x^2 - 3)(3x^2 + 3)[/tex] : degree = 4, number of terms = 1, so the answer is 4 and 1.
What is expression ?
In mathematics, an expression is a combination of numbers, symbols, and operators (such as +, ×, ÷, etc.) that represents a mathematical relationship or quantity.
Expressions can be simple, such as 2 + 3, or more complex, such as [tex](4x^2 - 2x + 5)/(x - 1).[/tex] They can also include variables, which are symbols that represent unknown or changing values.
For the expression [tex]4x + 2x^2(3x-5):[/tex]
Simplified form:[tex]6x^3 - 10x^2 + 4x[/tex]
Degree: 3
Number of terms: 3
For the expression [tex](-3x^4 + 5x^3 - 12) + (7x^3 - x^5 + 6):[/tex]
Simplified form: [tex]-x^5 - 3x^4 + 12x^3 - 6[/tex]
Degree: 5
Number of terms: 4
For the expression[tex](3x^2 - 3)(3x^2 + 3):[/tex]
Simplified form: [tex]9x^4 - 9[/tex]
Degree: 4
Number of terms: 1
Therefore, the correct options are:
For [tex]4x + 2x^2(3x-5)[/tex] : degree = 3, number of terms = 3, so the answer is 3 and 3.
For [tex](-3x^4 + 5x^3 - 12) + (7x^3 - x^5 + 6)[/tex] : degree = 5, number of terms = 4, so the answer is 5 and 4.
For [tex](3x^2 - 3)(3x^2 + 3):[/tex] degree = 4, number of terms = 1, so the answer is 4 and 1.
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Suppose x > y > 0 and a > b > 0. Is it true that x/b > y/a? if so
For the inequality x > y > 0 and a > b > 0 the expression ( x /y)> (x +b)/ (y+ a) > b/a is true if x/b > y/a.
For x > y > 0 and a > b > 0
The inequality x/b > y/a
Simplify by cross-multiplication we get,
⇒xa > yb
Adding xy to both sides,
⇒xy + xa > xy + yb
Factoring the left-hand side,
⇒ x(y + a) > y(x + b)
Dividing both sides by (y + a)(x + b), as x > y > 0 and a > b > 0,
⇒ x/(x + b) > y/(y + a)
Multiplying both sides by x/y we get the expression,
⇒x/y > (x + b)/(y + a) __(1)
It proves the half part of the expression, x/y > (x + b)/(y + a)
Now second part x/y > (x + b)/(y + a) > b/a.
Using inequality x/b > y/a to get:
a/b > y/x
Multiplying both sides by (x + b)/(y + a),
⇒(a/b) × (x + b)/(y + a) >(y/x) × (x + b)/(y + a)
Expand both sides and simplifying,
⇒ ( ax + ab ) / (by + ab ) > ( xy + by ) / ( xy + ax )
⇒( ax + ab )( xy + ax ) > ( xy + by ) (by + ab )
⇒ ax²y + a²x² + abxy + a²bx > by²x + abxy + b²y² + ab²y
⇒ (ax -by )( x + b )( y + z) > 0
⇒ax - by > 0 or ( x + b )> 0 or ( y + z) > 0
⇒ ax > by
⇒ x /y > b /a
As a > b > 0
⇒ (x +b)/ (y+ a) > b/a __(2)
From (1) and (2) we have,
( x /y)> (x +b)/ (y+ a) > b/a
Therefore , the expression ( x /y)> (x +b)/ (y+ a) > b/a is true for the given condition.
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The above question is incomplete, the complete question is:
Suppose x > y > 0 and a > b > 0. Is it true that x/b > y/a then expression
( x /y)> (x +b)/ (y+ a) > b/a.
Expand open parentheses x plus 8 close parentheses and open parentheses x minus 8 close parentheses.
The expanded form of the given expression is x^2 - 64.
Describe distributive property:The distributive property states that for any two numbers a and b, a(b+c) = ab + ac. This means that you can multiply a number by the sum of two numbers and get the same result as when you multiply that number by each of the two numbers separately and then add the two products together.
To expand the given expression, we need to use the distributive property. The distributive property states that a(b + c) = ab + ac. Applying this property to the given expression, we get:
(x + 8)(x - 8) = x(x - 8) + 8(x - 8)
Next, we need to distribute the x and 8 to the terms inside the parentheses:
x(x - 8) + 8(x - 8) = x^2 - 8x + 8x - 64
Finally, we can simplify the expression by combining like terms:
x^2 - 8x + 8x - 64 = x^2 - 64
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In each case determine whether W is a subspace of R ^ 2 . If W is a subspace, then give a geometric description of W.
1. W = \{x / x_{1} = 2x_{2}\}
2. W = \{x / x_{1} - x_{2} = 2\}
3. W=\ x / x_{1} = x_{2} or x_{1} = - x_{2}
4. W = {x: x₁ and x_{2} are rational numbers}
5. W = \{x / x_{1} = 0\}
6. W = \{x / |x_{1}| + |x_{2}| = 0\}
If W is a subspace, then
1. Geometric description of W is a line passing through the origin with a slope of 2.
2. W is not a subspace of R ^ 2.
3. Here, W is the union of two lines passing through the origin with slopes of 1 and -1.
4. In this case, W is not a subspace of R ^ 2.
5. Geometrically, W is a line passing through the origin with a slope of 0.
6. Here, Geometrically, W is a single point at the origin.
1. W = \{x / x_{1} = 2x_{2}\} is a subspace of R^2 because it satisfies the three conditions of being a subspace: it contains the zero vector (0,0), it is closed under addition, and it is closed under scalar multiplication. Geometrically, W is a line passing through the origin with a slope of 2.
2. W = \{x / x_{1} - x_{2} = 2\} is not a subspace of R^2 because it does not contain the zero vector (0,0). Geometrically, W is a line that does not pass through the origin.
3. W=\ x / x_{1} = x_{2} or x_{1} = - x_{2} is a subspace of R^2 because it satisfies the three conditions of being a subspace. Geometrically, W is the union of two lines passing through the origin with slopes of 1 and -1.
4. W = {x: x₁ and x_{2} are rational numbers} is not a subspace of R^2 because it is not closed under scalar multiplication. For example, if we multiply the vector (1/2, 1/3) by the scalar √2, we get the vector (√2/2, √2/3), which is not in W. Geometrically, W is the set of all points with rational coordinates.
5. W = \{x / x_{1} = 0\} is a subspace of R^2 because it satisfies the three conditions of being a subspace. Geometrically, W is a line passing through the origin with a slope of 0 (the x-axis).
6. W = \{x / |x_{1}| + |x_{2}| = 0\} is a subspace of R^2 because it contains only the zero vector (0,0), which satisfies the three conditions of being a subspace. Geometrically, W is a single point at the origin.
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For f open parentheses x comma y close parentheses equals square root of 4 x squared minus 2 y plus 7 x to the power of 4 y to the power of 5 end root , find the value of f subscript y open parentheses 1 comma space 1 close parentheses . Show your result with one decimal digit on the right side of decimal point.
The value of fy(1,1) is 5.5 with one decimal digit on the right side of the decimal point.
To find the value of fy(1,1), we need to first find the partial derivative of f(x,y) with respect to y. This is done by treating x as a constant and taking the derivative with respect to y.
The partial derivative of f(x,y) with respect to y is:
fy(x,y) = (1/2)(4x2 - 2y + 7x4y5)-1/2 (-2 + 35x4y4)
Now we can plug in the values of x=1 and y=1 into the partial derivative to find the value of fy(1,1):
fy(1,1) = (1/2)(4(1)2 - 2(1) + 7(1)4(1)5)-1/2 (-2 + 35(1)4(1)4)
fy(1,1) = (1/2)(4 - 2 + 7)-1/2 (-2 + 35)
fy(1,1) = (1/2)(9)-1/2 (33)
fy(1,1) = (1/2)(1/3)(33)
fy(1,1) = 5.5
Therefore, the value of fy(1,1) is 5.5 with one decimal digit on the right side of the decimal point.
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Eight: Adding & Subtracting K Subtract and simplify your answer. (5x)/(x^(2)-49)-(6)/(x+7)
The simplified answer is (5x)/(x^(2)-49)-(6)/(x+7) = -(x - 42)/((x + 7)(x - 7)).
To subtract and simplify the given expression, we need to find a common denominator and combine the numerators. The common denominator in this case will be (x^2 - 49), which can be factored into (x + 7)(x - 7).
So, the expression becomes:
(5x)/((x + 7)(x - 7)) - (6)/(x + 7)
To get a common denominator, we need to multiply the second term by (x - 7)/(x - 7):
(5x)/((x + 7)(x - 7)) - (6(x - 7))/((x + 7)(x - 7))
Now we can combine the numerators:
(5x - 6(x - 7))/((x + 7)(x - 7))
Simplifying the numerator gives us:
(-x + 42)/((x + 7)(x - 7))
And finally, we can simplify the expression by factoring out a -1 from the numerator:
-1(x - 42)/((x + 7)(x - 7))
So the final answer is:
-(x - 42)/((x + 7)(x - 7))
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ach in the lowest-yielding, least-risky acc uld she invest in each account to achieve x+y+z=50,000 0.03x+0.055y+0.09z=2540
The investor should invest $32,500 in the lowest-yielding, least-risky account, $20,000 in the medium-yielding, medium-risk account, and $17,500 in the highest-yielding, highest-risk account.
To solve this problem, we can use a system of linear equations.
We have three equations and three unknowns: x, y, and z.
The equations are: x + y + z = 50,0000.03x + 0.055y + 0.09z = 2540
We can use substitution or elimination to solve for one of the variables and then plug that value back into the other equations to find the remaining variables.
For example, we can solve for x in the first equation:
x = 50,000 - y - z
Then we can substitute this value of x into the second equation:
0.03(50,000 - y - z) + 0.055y + 0.09z = 2540
Simplifying this equation gives us:
1500 - 0.03y - 0.03z + 0.055y + 0.09z = 25400.025y + 0.06z = 1040
Now we can solve for one of the remaining variables, such as y:
y = (1040 - 0.06z) / 0.025
And we can substitute this value of y back into the first equation to find z:
50,000 - (1040 - 0.06z) / 0.025 - z = 50,000
Solving for z gives us:
z = 17,500
Finally, we can plug this value of z back into the equations for x and y to find the remaining variables:
x = 50,000 - y - 17,500 = 32,500 - y
y = (1040 - 0.06(17,500)) / 0.025 = 20,000
So the solution is x = 32,500, y = 20,000, and z = 17,500.
This means that the investor should invest $32,500 in the lowest-yielding, least-risky account, $20,000 in the medium-yielding, medium-risk account, and $17,500 in the highest-yielding, highest-risk account.
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for each quantity, decide wether circumference or area would be needed to calculate it. explain or show you reasoning
The concepts that we use are
1. circumcenter of the circle.
b. Area of the circle
c. Area of the circle
d. Circumference of the circle.
Circumference and area of the circle:The circumference of a circle is the distance around its outer boundary, while the area of a circle is the total space enclosed within its boundary.
The formula we use in a given problem depends on the context of the problem the following situations can be understood as follows
Here we have 5 situations
a. The distance around a circular track.
Here to find the distance around the circular track we need to calculate the perimeter of the circular track i.e circumcenter of the circle.
b. The total number of equally-sized tiles on a circular floor.
The total size of tiles on the circular floor represents the area of the circle. Hence we need to use the area of the circle
c. The amount of oil it takes to cover the bottom of a frying pan.
The amount of oil that spread on the bottom of the pan will equal the area of the circular surface of the pan
Hence, we need to use the Area of the circle
d. The distance your car will go with one turn of the wheels.
The distance will cover by the wheel will equal to boundary line around the wheel hence, we need to use the circumference of the circle.
Therefore,
The concepts that we use are
1. circumcenter of the circle.
b. Area of the circle
c. Area of the circle
d. Circumference of the circle.
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Complete Question:
For each quantity, decide whether circumference or area would be needed to calculate it. Explain or show your reasoning.
a. The distance around a circular track.
b. The total number of equally-sized tiles on a circular floor.
c. The amount of oil it takes to cover the bottom of a frying pan.
d. The distance your car will go with one turn of the wheels.
DBA QUESTION
#2
a) What do we mean when we say like terms?
b) What do we mean when we say "combining like terms?"
c) Give an example of combining like terms.
DRA QUESTION #3
Answer:
a) When we say "like terms", we mean terms that have the same variables and/or exponents.
b) When we say "combining like terms", we mean adding or subtracting terms with the same variables, so that the two terms become one term.
c) An example of combining like terms is: 6x + 3x = 9x.
3(3x+5)-8=7 give statement and give reasons and give check
Answer:
x = 0
Step-by-step explanation:
3(3x+5) - 8 =7
9x + 15 - 8 = 7
9x + 7 = 7
9x = 0
x = 0
Let's check
3(3(0) + 5) - 8 = 7
3(0 + 5) - 8 = 7
3(5) - 8 = 7
15 - 8 = 7
7 = 7
So, x = 0 is the correct answer.
According to the map on the left, Central Park is about 50 blocks long by 9 blocks wide. What is the approximate area of the park? Show your work.
In the given map, the approximate area of the Central Park is 450 blocks
Calculating the approximate area of the parkFroom the question, we are to determine the approximate area of the central park.
The park is a rectangular park and the approximate area of the park can be calculated by using the formula for calculating the area of a rectangle.
If Central Park is about 50 blocks long by 9 blocks wide, we can find its approximate area by multiplying the length and width:
Area = Length x Width
Area = 50 x 9
Area = 450
Hence, the approximate area of Central Park is 450 blocks.
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Suppose a machine produces metal parts that contain some defective parts with probability 0.05. How many parts should be produced in order that the probability of atleast one part being defective is 21 or more?
(Given that, log1095=1.977 and log102=0.3)
O 11
O 12
O 15
O 14
The probability of at least one part being defective is 21 or more when 14 parts are produced. So, the correct answer is D: 14.
Let X be the number of defective parts among n parts produced. Since each part can either be defective or non-defective, X follows a binomial distribution with parameters n and p, where p = 0.05.
We want to find the smallest value of n such that P(X ≥ 1) ≥ 0.21. We can use the complement rule to rewrite this as P(X < 1) ≤ 0.79.
P(X < 1) = P(X = 0) = (1 - p)^n
= (0.95)^n
We need to find n such that (0.95)^n ≤ 0.79. Taking logarithms of both sides, we get:
n log(0.95) ≤ log(0.79)
n ≥ log(0.79) / log(0.95)
n ≥ 13.65
Since we need n to be an integer, we round up to the nearest integer and get n = 14.
Therefore, the answer is option D: 14.
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Judy bought 1 pound 6 ounces of almonds, 2 pounds 3 ounces of walnuts, and 8 ounces of cashews. What was the total weight of the nuts (in pounds and ounces)?
By answering the above question, we may state that This expression's equation evaluation results in: r = 8.5 ft
What is equation?A mathematical equation is a process that links two statements and indicates equality using the equals sign (=). A formal statement that proves the equality of two calculations is known as an equation in algebra. For instance, the equal sign separates the numbers 3x + 5 and 14 in the equation 3x + 5 = 14. A mathematical formula may be used to understand the link between the two phrases that are inscribed on opposite sides of a letter. Frequently, the logo and indeed the particular software are identical. like in 2x - 4 = 2, for example.
The following is the formula for a circle's circumference:
C = 2πr
where is a mathematical constant that is roughly equivalent to 3.14159, C is the circumference, r is the radius, and.
The circle's circumference is stated to be 17 feet. In order to find r, we may put this equal to the circumference formula as follows:
17π = 2πr
When we divide both sides by 2, we obtain:
r = 17π / (2π)
Units cancel out, leaving:
r = 17 / 2
This expression's evaluation results in:
r = 8.5 ft
As a result, the circle's radius is 8.5 feet.
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The covariance between the returns of A and B is -0. 112. The standard deviation of the rates of return is 0. 26 for stock A and 0. 81 for stock B. The correlation of the rates of return between A and B is closest to: A. )-1. 88 B. )-. 53 C. ). 53 D. )1. 88
The correlation of the rates return between stock A and B for the given covariance and standard deviation is given by option B. -0.53.
Covariance between stock A and B = -0.112
Standard deviation of the rates return for stock A = 0.26
Standard deviation of the rates return for stock B = 0.81
Formula for correlation in terms of covariance and standard deviations is
Correlation = covariance / (standard deviation of A x standard deviation of B)
Here correlation of the rates of return between A and B.
Substitute the given values we get,
⇒ Correlation = (-0.112) / (0.26 x 0.81)
⇒ Correlation ≈ -0.430769 / 0.81
⇒ Correlation ≈ -0.5318
⇒ Correlation ≈ -0.53
Therefore, the correlation of the rates of return between A and B is is equal to option B. -0.53.
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100 points and mark brainly please hurry
Answer:
12 of them
Step-by-step explanation:
5x5 cube so
25*48%
Answer:
its 12 squares
Step-by-step explanation:
First you take all the squqres as 100 percent then you divide both sides by 100 to find how much squares is 1 percent, then multiply the 1 percent answers by the percentage you need which is 48 to get the squares
Verifica que solo los numeros pares tienen cuadrados pares, Pista; ¿que forma tienen los numeros pares y que forma tienen los numeros impares?
Podemos concluir que solo los números pares tienen cuadrados pares, ya que cualquier número par elevado al cuadrado es divisible por 2 y, por lo tanto, es par.
Que son numeros pares?Los números pares tienen la forma 2n, donde n es un número entero. Si elevamos al cuadrado un número par, obtenemos:
(2n)² = 4n²
Y podemos ver que 4n² es un número par, ya que se puede escribir como 2 x 2n².
Por otro lado, los números impares tienen la forma 2n+1, donde n es un número entero. Si elevamos al cuadrado un número impar, obtenemos:
(2n+1)² = 4n² + 4n + 1
Y podemos ver que 4n² + 4n es un número par, ya que se puede escribir como 2 x (2n² + 2n), mientras que 4n² + 4n + 1 es un número impar.
Por lo tanto, podemos concluir que solo los números pares tienen cuadrados pares, mientras que los números impares tienen cuadrados impares.
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The formula t=−10 li (T-R/ 95.6 −R) can be used to calculate the elapsed time once a person has died, where T is the bodys temperature in " F, R is the canstant room temperature in" F. and t is the elapsed time since death in hours. A coroner examined a body found in a foom with room temperature ta f and aneatured the temperature of the body as 835∗F. Use the formula to estimate how long belore the coroner's ecainsination the person had died. ________hours______ minutes
The person had died approximately 5 hours and 10 minutes before the coroner's examination.
Using the formula, t=−10 log10(T-R/95.6-R), we can calculate the elapsed time since death.
Given that T = 83.5°F, R = 75°F and t is the elapsed time since death in hours, we can calculate the elapsed time.
t = -10 log10(83.5-75/95.6-75)
t = -10 log10(8.5/20.6)
t = -10 * 0.517 = -5.17 hours
Therefore, the person had died approximately 5 hours and 10 minutes before the coroner's examination.
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The value of x is decreased by 74% . Which expression represents this situation?
74x
0.74x
0.926x
0.26x
Answer:
0.26x
Step-by-step explanation:
If x is decreased by 74% then new value of x
= x - 74% of x
74% as decimal = 74/100 = 0.74
New value of x
= x - 0.74x
=x(1 - 0.74)
=0.26x
Label the tick marks on the two number lines in two different ways. In each case, your labeling should fit with the structure of the base-ten system and the fact that the tick marks at the ends of the number lines are longer than the other tick marks.
One way to label the tick marks on the number lines is to use whole numbers for the longer tick marks and decimals for the shorter tick marks.
For example, on the first number line, you could label the longer tick marks as 0, 1, 2, 3, 4, and 5, and the shorter tick marks as 0.1, 0.2, 0.3, etc.
This fits with the structure of the base-ten system because each whole number is ten times greater than the corresponding decimal.
Another way to label the tick marks is to use fractions for the shorter tick marks. For example, on the second number line, you could label the longer tick marks as 0, 1, 2, 3, 4, and 5, and the shorter tick marks as 1/10, 2/10, 3/10, etc.
This also fits with the structure of the base-ten system because each fraction is one-tenth of the corresponding whole number.
Both of these labeling methods are accurate and fit with the structure of the base-ten system, so either one would be an appropriate way to label the tick marks on the number lines.
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A gardener is planting two types of trees: Type A is 6 feet tall and grows at a rate of 18 inches per year. Type B is 3 feet tall and grows at a rate of 21 inches per year. Algebraically determine exactly how many years it will take for these trees to be the same height.
Answer:
1 year.
Step-by-step explanation:
First set up the equation for each tree
Tree A = 6 + 18x
Tree B = 3 + 21x
Since we want to find how long it would take the tree to be same height just set the equation equal to each other.
6+18x = 3+21x
Now you can just solve it by isolating x.
First, subtract 18x from both sides so that we can have just one x and coefficient.
6 = 3 + 3x
Then, subtract 3 from both sides to isolate the x.
3 = 3x
Next, divide both sides by 3.
1 = x
X means the years and so that means it would take just 1 year for the trees to be same height.
Consider the two functions x1 = y^2 and x2 = b on the y-interval [-a, a], if a = 6.2. What value does b have to be in order for the area between x, and x2 and [-a, a], to equal 50.5? Round your answer to five decimal places.
The value of b that makes the area between the two functions equal to 50.5 on the interval [-6.2, 6.2] is 29.64355.
To find the value of b that makes the area between the two functions equal to 50.5 on the interval [-6.2, 6.2], we need to set up an integral and solve for b.
First, we need to find the difference between the two functions:
x2 - x1 = b - y^2
Next, we need to integrate this difference over the given interval:
∫[-6.2, 6.2] (b - y^2) dy
Using the power rule for integration, we get:
[b*y - (y^3)/3] from -6.2 to 6.2
Plugging in the values for the interval and simplifying, we get:
(6.2b - 158.488) - (-6.2b - 158.488)
Simplifying further, we get:
12.4b - 316.976
Now, we can set this equal to the given area and solve for b:
12.4b - 316.976 = 50.5
12.4b = 367.476
b = 367.476/12.4
b = 29.64354839
Rounding to five decimal places, we get:
b = 29.64355
So, the value of b that makes the area between the two functions equal to 50.5 on the interval [-6.2, 6.2] is 29.64355.
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Part A. In two or more complete sentences explain the differences between liabilities and assets.
Part B. In two or more complete sentences give examples of both liabilities and assets.
The differences and examples of liabilities and assets have been detailed below.
What are liabilities and assets?The things that your business has and can potentially provide future financial gain are called assets. What you owe other people is the liability. In essence, assets increase your financial situation while obligations decrease it.
A. A company's assets are things it has that will be useful to it in the future, whereas its liabilities are things it must pay.
Unlike liabilities, which are not depreciable, assets are subject to depreciation over time.
B. Cash, receivables, goodwill, investments, buildings, etc. are a few examples of assets.
Liabilities include things like Accounts payable, Interest payable, and Deferred Revenue, among others.
Hence, the differences and examples of liabilities and assets have been provided.
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ABCD is a parallelogram. Find the measures of the numbered angles.
m∠1=
m∠2=
m∠3=
m∠4=
The value of the given segments are EC = 6, AC = 12, EB = 4, and BD = 8.
What are diagonals of parallelogram?A quadrilateral with opposing sides that are parallel and equal is known as a parallelogram. Due to the opposite sides' alignment and equality, they have equal angles on them. The lines that link the parallelogram's opposing corners are known as its diagonals.
Given that,
EA = 6
For a parallelogram the diagonals of the quadrilateral bisect each other.
Thus,
EC = 6
AC = EA + EC = 6 + 6 = 12
Similarly, ED = 4
EB = 4
and the value of BD = ED + EB = 8
Hence, the value of the given segments are EC = 6, AC = 12, EB = 4, and BD = 8.
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Compute A² – 2A + I. A= | 1 0 -1| . | 0 -4 0| . |2 0 2| NOTE: Write the elements of the matriz exactly. A2 - 2A +I=
The elements of the matrix are: A² – 2A + I = | 0 0 -1 | | 0 25 0 | | 2 0 -1 |. To compute A² – 2A + I, we need to first find A², then multiply A by 2, and finally add the identity matrix I to the result.
The identity matrix I is a matrix with 1s on the main diagonal and 0s elsewhere.
A² = A * A = | 1 0 -1| * | 1 0 -1| = | 1*1+0*0+(-1)*2 1*0+0*(-4)+(-1)*0 1*(-1)+0*0+(-1)*2 |
| 0 -4 0| | 0 -4 0| | 0*1+(-4)*0+0*2 0*0+(-4)*(-4)+0*0 0*(-1)+(-4)*0+0*2 |
| 2 0 2| | 2 0 2| | 2*1+0*0+2*2 2*0+0*(-4)+2*0 2*(-1)+0*0+2*2 |
= | 1 0 -3 |
| 0 16 0 |
| 6 0 2 |
2A = 2 * | 1 0 -1| = | 2 0 -2|
| 0 -4 0| | 0 -8 0|
| 2 0 2| | 4 0 4|
I = | 1 0 0 |
| 0 1 0 |
| 0 0 1 |
A² – 2A + I = | 1 0 -3 | - | 2 0 -2 | + | 1 0 0 | = | 1-2+1 0-0+0 -3-(-2)+0 |
| 0 16 0 | | 0 -8 0 | | 0 1 0 | | 0-0+0 16-(-8)+1 0-0+0 |
| 6 0 2 | | 4 0 4 | | 0 0 1 | | 6-4+0 0-0+0 2-4+1 |
= | 0 0 -1 |
| 0 25 0 |
| 2 0 -1 |
Therefore, A² – 2A + I = | 0 0 -1 |
| 0 25 0 |
| 2 0 -1 |
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Helppppppppppppppppppppp;pppppppppp
Answer:
Step-by-step explanation:
Ok, I hate point-slope form but I can help!
I'm going to answer slope-intercept first, then point slope.
2. y = 1/4x - 1 ; y+2 = 1/4(x+4)
3. y = -3/2x + 1 ; y+2 = -3/2(x-2)
4. y = x - 2 ; y-1 = 1(x-3)
Hope this helps!
I need help on 8 and 9!!
Answer:
8) the ordered pair (-1,-1) is a solution
9)the ordered pair (-8,-2) is a solution
Step-by-step explanation:
8) 3x-5y≥2
3(-1)-5(-1)=2
2=2
9)-x-6y>12
-(-8)-6(2)=-4
-4>12
-22/3
4/3
6/17
2/13
which two are the smallest???
Answer: i think -22/3 and 6/17
Step-by-step explanation:
Solve this equation. 12 - 3x = 4+ (-2x)
Answer: -2x = 16
Step-by-step explanation:
The answer is -2x = 16.
We start by isolating the -2x on one side of the equation. To do this, we must subtract 3x from both sides of the equation. This gives us -2x = 4 - 3x. We then add 3x to both sides of the equation to give us -2x + 3x = 4. Since 3x + (-3x) = 0, we are left with -2x = 16.
Answer:
x=8
Step-by-step explanation:
12 -3x=4+ (-2x)
12-3x=4-2x add 12 to both sides
-3x=-2x-8 add 2x to both sides
-x=-8 divide both sides by 1
x=8
let me know if this helped :)
Solve the right triangle. Round side measures to the nearest tenth and angle measures to the nearest degree.
Step-by-step explanation:
Refer to pic..........
A small publishing company is planning to publish a new book. The production costs will include one-time fixed costs (such as editing) and variable costs (such as printing). There are two production methods it could use. With one method, the one-time fixed costs will total $82,363, and the variable costs will be $9. 25 per book. With the other method, the one-time fixed costs will total $21,162 , and the variable costs will be $21. 50 per book. For how many books produced will the costs from the two methods be the same?
In the first production method, the company produces approximately 4,996 books.
Let's represent the number of books produced as x.
Total cost of method 1 = One-time fixed cost + Variable cost * Number of books produced
= $82,363 + $9.25x
Total cost of method 2 = One-time fixed cost + Variable cost * Number of books produced
= $21,162 + $21.50x
Setting the two equations equal to each other, we get:
$82,363 + $9.25x = $21,162 + $21.50x
Simplifying this equation, we get:
$61,201 = $12.25x
Dividing both sides by $12.25, we get:
x = 4,995.92
This means that the costs from the two methods will be the same when the company produces approximately 4,996 books.
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