Polynomial needs to be in order from?

Based on the data given on the amounts Chris and Sam are paid, we can infer that Chris earns $0.75 more per hour than Sam.

Chris earns $8.25 an hour according to the equation that shows how he is paid of y = 8.25x.

The amount earned by Sam can be found as:

= Any value of y / Corresponding value of x

= 30 / 4

= $7.50 per hour.

The difference between their pay is:

= 8.25 - 7.50

= $0.75

In conclusion, Chris earns $0.75 more.

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The equation of line for given coordinated will be 7x + 5y = 20

Y = m x + c is the general equation for a straight line, where m is the gradient and c is the y intercept. By determining the gradient and the y intercept, and then utilizing these values in the equation, we may determine the equation of a straight line.

Given,

point = (5, -3)

slope =  -7/5

the equation of line = y-y1 = m(x - x1)

where m = slope

so the equation of line will be -

⇒ y + 3 = -7/5 (x - 5)

⇒ 5y + 15 = -7x + 35

⇒ 7x + 5y = 35-15

⇒ 7x + 5y = 20

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Hi There!!

1. Multiply both sides by 5

\(-3\) × \(5=x\)

2. Simplify \(-3\) × \(-5\) \(to\) \(-15-15.\)

3. Switch sides.

\(x = -15\)

\(GoodLuck!!\)

\(_{Losersbrazts}\)

Answer:

405 miles

Step-by-step explanation:

Step 1:

4 : 90 = 18 : x   Proportion

Step 2:

4x = 1620   Multiply

Step 3:

1620 ÷ 4  Divide

Answer:

405 miles

Hope This Helps :)

Answer:

Sueldo neto= $160.000

Step-by-step explanation:

Dada la siguiente información:

Sueldo bruto= $200.000

Descuento total= 20%

Para calcular el sueldo neto, debemos usar la siguiente formula:

Sueldo neto= sueldo bruto* (1 - porcentaje de descuento)

Sueldo neto= 200.000*( 1 - 0.2)

Sueldo neto= $160.000

Answer:

4

Step-by-step explanation:

your slope-intercept will be 4

Answer:

y = 4x + 5

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 4x - 3 ← is in slope- intercept form

with slope m = 4

Parallel lines have equal slopes

Thus parallel line has m = 4 and c = 5

y = 4x + 5 ← equation of parallel line

a. The price elasticity of blue jeans on the weekend is approximately -2.14, indicating that a 1% decrease in price will result in a 2.14% increase in quantity demanded.

b. The quantity demanded of blue jeans will increase by approximately 10.7%.

a. The price elasticity of demand measures the responsiveness of the quantity demanded to a change in price. It is calculated as the percentage change in quantity demanded divided by the percentage change in price.

Given:

Price = $40

Price of khakis = $50

Advertising = $2

Weekend (dummy variable) = 1 (indicating it is the weekend)

To calculate the price elasticity of blue jeans on the weekend, we need to use the coefficient for the "Price" variable from the regression results.

Price elasticity of demand = (Coefficient for Price * Price) / Quantity demanded

Coefficient for Price = -4.5 (from regression results)

Price = $40 (given)

Quantity demanded can be calculated using the regression equation:

Quantity demanded = Intercept + (Coefficient for Price * Price) + (Coefficient for Price Khakis * Price of khakis) + (Coefficient for Advertising * Advertising) + (Coefficient for Weekend * Weekend)

Intercept = 200 (from regression results)

Coefficient for Price Khakis = 2.2 (from regression results)

Coefficient for Advertising = 6.5 (from regression results)

Coefficient for Weekend = 10.0 (from regression results)

Quantity demanded = 200 + (-4.5 * 40) + (2.2 * 50) + (6.5 * 2) + (10.0 * 1)

Quantity demanded = 200 - 180 + 110 + 13 + 10

Quantity demanded = 153

Now we can calculate the price elasticity of demand:

Percentage change in quantity demanded = (Quantity demanded - Quantity demanded with a 5% price decrease) / Quantity demanded

Percentage change in quantity demanded = (153 - Quantity demanded with a 5% price decrease) / 153

Percentage change in price = 5% (given)

Price elasticity of demand = (Percentage change in quantity demanded / Percentage change in price) * (Price / Quantity demanded)

Price elasticity of demand = ((153 - Quantity demanded with a 5% price decrease) / 153) / 0.05 * (40 / 153)

To find the quantity demanded with a 5% price decrease, we calculate:

New price = $40 - (5% of $40) = $40 - ($2) = $38

New quantity demanded = 200 + (-4.5 * 38) + (2.2 * 50) + (6.5 * 2) + (10.0 * 1)

New quantity demanded = 200 - 171 + 110 + 13 + 10

New quantity demanded = 162

Substituting the values into the formula:

Price elasticity of demand = ((153 - 162) / 153) / 0.05 * (40 / 153)

Price elasticity of demand = (-0.059 / 0.05) * (40 / 153)

Price elasticity of demand ≈ -2.14

The price elasticity of blue jeans on the weekend is approximately -2.14, indicating that a 1% decrease in price will result in a 2.14% increase in quantity demanded.

b. We already calculated the price elasticity of demand (-2.14). Now, we can use this elasticity to determine the percentage change in quantity demanded when the price is reduced by 5%.

Percentage change in price = -5% (given)

Percentage change in quantity demanded = Price elasticity of demand * Percentage change in price

Percentage change in quantity demanded = -2.14 * (-5%)

Percentage change in quantity demanded = 10.7%

Therefore, if the price of blue jeans is reduced by 5%, the quantity demanded will increase by approximately 10.7%.

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Answer:

49 in.sq

I have made it in above picture

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.

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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Using quantifiers; a) ∀ student ∈ this class, ∃ exactly 2 mathematics classes ∈ this school that the student has taken and b) ∃ person, ∀ country ∈ the world (country ≠ Libya), the person has visited that country.

a) "Every student in this class has taken exactly two mathematics classes at this school."

In this statement, we have two main quantifiers:

Universal quantifier (∀): This quantifier denotes that we are making a statement about every individual student in the class. It indicates that the following condition applies to each and every student.

Existential quantifier (∃): This quantifier indicates the existence of something. In this case, it asserts that there exists exactly two mathematics classes at this school that each student has taken.

So, when we combine these quantifiers and their respective conditions, we get the statement: "For every student in this class, there exists exactly two mathematics classes at this school that the student has taken."

b) "Someone has visited every country in the world except Libya."

In this statement, we also have two main quantifiers:

Existential quantifier (∃): This quantifier signifies the existence of a person who satisfies a particular condition. It asserts that there is at least one person.

Universal quantifier (∀): This quantifier denotes that we are making a statement about every individual country in the world (excluding Libya). It indicates that the following condition applies to each and every country.

So, when we combine these quantifiers and their respective conditions, we get the statement: "There exists at least one person who has visited every country in the world (excluding Libya)."

In summary, quantifiers are used to express the scope of a statement and to indicate whether it applies to every element or if there is at least one element that satisfies the given condition.

Therefore, Using quantifiers; a) ∀ student ∈ this class, ∃ exactly 2 mathematics classes ∈ this school that the student has taken and b) ∃ person, ∀ country ∈ the world (country ≠ Libya), the person has visited that country.

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Mina will receive $13.33 after converting her 18 Pounds GBP to Dollars USD

A conversion factor is a number used to change one set of units to another, by multiplying or dividing. When a conversion is necessary, the appropriate conversion factor to an equal value must be used

To change 18GBP to USD at the current exchange rate of 1.35GBP to 1 USD

Divide the Amount being converted by the exchange rate

that is, 18GBP/1.35

=13.33USD

Hence, 13.33USD is the amount that Mina will receive after converting her 18 GBP

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Answer:

VX

Step-by-step explanation:

V=5

X=10

We cannot write 5 before 10

To approximate the area under the curve y = x^2 from x = 0 to x = 3 using a right endpoint approximation with 6 subdivisions, we can divide the interval [0, 3] into 6 equal subintervals.

To solve the problem the following steps are to be followed.

First, let's calculate the width of each subinterval:
Width of each subinterval = (endpoint - start point) / number of subdivisions
Width of each subinterval = (3 - 0) / 6
Width of each subinterval = 3/6
Width of each subinterval = 0.5

Next, let's find the right endpoints for each subinterval:
Right endpoint = start point + width of each subinterval
Right endpoint of the first subinterval = 0 + 0.5 = 0.5
Right endpoint of the second subinterval = 0.5 + 0.5 = 1
Right endpoint of the third subinterval = 1 + 0.5 = 1.5
Right endpoint of the fourth subinterval = 1.5 + 0.5 = 2
Right endpoint of the fifth subinterval = 2 + 0.5 = 2.5
Right endpoint of the sixth subinterval = 2.5 + 0.5 = 3

Now, we can calculate the area of each rectangle formed by the subintervals by using the formula:
Area of rectangle = height * width
Height of each rectangle = the value of the function at the right endpoint of the subinterval

For the first subinterval:
Height of the rectangle = (0.5)^2 = 0.25
Area of the rectangle = 0.25 * 0.5 = 0.125

For the second subinterval:
Height of the rectangle = (1)^2 = 1
Area of the rectangle = 1 * 0.5 = 0.5

For the third subinterval:
Height of the rectangle = (1.5)^2 = 2.25
Area of the rectangle = 2.25 * 0.5 = 1.125

For the fourth subinterval:
Height of the rectangle = (2)^2 = 4
Area of the rectangle = 4 * 0.5 = 2

For the fifth subinterval:
Height of the rectangle = (2.5)^2 = 6.25
Area of the rectangle = 6.25 * 0.5 = 3.125

For the sixth subinterval:
Height of the rectangle = (3)^2 = 9
Area of the rectangle = 9 * 0.5 = 4.5

To approximate the area under the curve, we sum up the areas of all the rectangles:
Approximated area = 0.125 + 0.5 + 1.125 + 2 + 3.125 + 4.5 = 11.375

Therefore, the approximate area under the curve y = x^2 from x = 0 to x = 3 using a right endpoint approximation with 6 subdivisions is 11.375.

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Answer:

IG: yiimbert

We can use the formula for compound interest to solve this problem:

A = P(1 + r/n)^(nt)

where:

A = final amount ($600)

P = principal amount ($500)

r = annual interest rate (5% or 0.05 as a decimal)

n = number of times interest is compounded per year (we'll assume it's compounded monthly, so n = 12)

t = time in years

Substituting the given values, we get:

$600 = $500(1 + 0.05/12)^(12t)

Dividing both sides by $500, we get:

1.2 = (1 + 0.05/12)^(12t)

Taking the natural logarithm (ln) of both sides, we get:

ln(1.2) = ln[(1 + 0.05/12)^(12t)]

Using the property of logarithms, we can bring the exponent down:

ln(1.2) = (12t) ln(1 + 0.05/12)

Dividing both sides by 12 ln(1 + 0.05/12), we get:

t = ln(1.2) / [12 ln(1 + 0.05/12)]

Using a calculator, we can evaluate this expression and find that:

t ≈ 2.26 years

Therefore, it will take approximately 2.26 years for the account to reach $600 with an interest rate of 5% and monthly compounding.

Answer:

Also 10

Step-by-step explanation:

This type of triangle has two sides of equal length

Answer:

d) 5

Step-by-step explanation:

we can observe that the x-value 5 appears twice in the relation. However, in a function or a relation, each x-value should only have one corresponding y-value. Therefore, the repetition of (5, 1) and (5, 2) indicates an inconsistency or ambiguity in the relation. As a result, 5 is not a valid x-value in the domain.

Answer:

No

Step-by-step explanation:  

(a)i. Evaluating the constant:

\($$\int_{-1}^{1} c(1+x)(1-2x) dx = 1$$$$\implies c = \frac{3}{4}$$\)

Therefore, the probability density function is:

\($$f(x) = \frac{3}{4} (1+x)(1-2x), -1< x < 1$$\) ii. Plotting the probability density function:

From the graph, it is observed that the density function is skewed to the left.

(b)i. The mean:

\($$E(X) = \int_{-1}^{1} x f(x) dx$$$$E(X) = \int_{-1}^{1} x \frac{3}{4} (1+x)(1-2x) dx$$$$E(X) = 0$$\)

ii. The second moment about the origin:

\($$E(X^2) = \int_{-1}^{1} x^2 f(x) dx$$$$E(X^2) = \int_{-1}^{1} x^2 \frac{3}{4} (1+x)(1-2x) dx$$$$E(X^2) = \frac{1}{5}$$\)

Therefore, the variance is:

\($$\sigma^2 = E(X^2) - E(X)^2$$$$\implies \sigma^2 = \frac{1}{5}$$\)

iii. The standard deviation:

$$\sigma = \sqrt{\sigma^2} = \sqrt{\frac{1}{5}} = \frac{\sqrt{5}}{5}$$(c)

i. The cumulative distribution function:

\($$F(x) = \int_{-1}^{x} f(t) dt$$$$F(x) = \int_{-1}^{x} \frac{3}{4} (1+t)(1-2t) dt$$\)

ii. The probability density function can be obtained by differentiating the cumulative distribution function:

\($$f(x) = F'(x) = \frac{3}{4} (1+x)(1-2x)$$\)

iii. Evaluating\(P(-0.2 < X <0.2):$$P(-0.2 < X <0.2) = F(0.2) - F(-0.2)$$$$P(-0.2 < X <0.2) = \int_{-0.2}^{0.2} f(x) dx$$$$P(-0.2 < X <0.2) = \int_{-0.2}^{0.2} \frac{3}{4} (1+x)(1-2x) dx$$$$P(-0.2 < X <0.2) = 0.0576$$\)

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Answer:

\(81+144i\)

Step-by-step explanation:

We want to simplify:
\(\displaystyle (-3\sqrt{-81})(-5+\sqrt{-9}) + 9i\)

Recall that:

\(\displaystyle \sqrt{-a} = i\sqrt{a}\)

Therefore:
\(\displaystyle \begin{aligned} (-3\sqrt{-81})(-5+\sqrt{-9}) + 9i & = (-3i\sqrt{81})(-5+i\sqrt{9})+9i \\ \\ &= -(3i(9))(-5+i(3))+9i \\ \\ & = -27i(-5+3i)+9i \\ \\ & = 135i -81i^2 + 9i \\ \\ & = 144i - 81i^2 \\ \\ & = 81+144i\end{aligned}\)

Note that i² = -1.

In conclusion:

\(\displaystyle (-3\sqrt{-81})(-5+\sqrt{-9})+9i = 81 + 144i\)

Answer:

For x-2y+3= 9 the answer is X - 2y+3=9 and for -x+3y = -4 the answer is x- 3y-4=0 and for 2x - 5y + 5z = 17 the answer is X=17/2+5/2y-5/2z,yer,zer

Step-by-step explanation:

Answer:

Positive correlation

Step-by-step explanation:

From the scatter plot shown in the graph above, we can observe that the data points that are clustered in a band run upwards from left of the graph to the right.

In simple terms, both variables move along the same direction, which means, as variable on one axis increases, the variable on the other axis increases as well.

This shows that the variables depicted on the scatter plot are positively correlated. It shows a positive correlation between the variables.

The relationship between the variables on the scatter plot it a positive correlation

From the graph, we have the following highlights

When the x and the y values increase or decrease in the same direction, then the correlation of the graph is positive.

Hence, the relationship between the variables on the scatter plot it a positive correlation

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Answer:

  1.5, -8, 0, 2f, 2/3

Step-by-step explanation:

j(x) = 2x means the function name is j, and it is a function of the variable x. To evaluate the function, you put the given value everywhere you see x, and do the arithmetic.

  j(0.75) = 2(0.75) = 1.5

  j(-4) = 2(-4) = -8

  j(0) = 2(0) = 0

  j(f) = 2f

  j(1/3) = 2(1/3) = 2/3

Refer to the attachment! v

anwser

4

Step-by-step explanation:

17

(A - B) u (A n B) = A is proved using several properties from Theorem 6.2.2. of Set Identities.

To prove (A - B) u (A n B) = A algebraically, we can use the following steps:

(A - B) u (A n B) // Given

[(A n B) U (A - B)] // Definition of union

[(B n A) U (A - B)] // Commutative law of intersection

[(B U (A - B)) n (A U (A n B))] // Distributive law of union over intersection

[(B U (A n B)') n (A U B)] // Complement law of intersection and De Morgan's law

[(B U (A - B)) n (A U B)] // Complement law of A n B

[(B U (A n B)') n (A U B)] // Definition of A - B

[(B U (A n B)') n (B U A')] // De Morgan's law

[(B n (B U A')) U ((A n B)'' n (B U A'))] // Distributive law of intersection over union

[(B n U) U (Ø n (B U A'))] // Complement law of B U A' and B n (B U A')

B U Ø // Identity law of intersection and complement law of B U A'

B // Identity law of union

Therefore, (A - B) u (A n B) = A is proved. We used several properties from Theorem 6.2.2, including the commutative law of intersection, distributive law of union over intersection, complement law of intersection, De Morgan's law, complement law of A n B, definition of A - B, distributive law of intersection over union, complement law of B U A', and identity law of intersection and union.

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The value of x if given expression as (x-1)(2-x)<0 will be 1 and 2.

The solution of an equation refers usually to the values of the variables involved in that equation which if substituted in place of those variable would give a true mathematical statement.

We have been given an expression as  (x-1)(2-x)<0, then the value of x can be calculated as;

(x-1)(2-x) = 0

Therefore, Using the zero product property we get;

(x-1) = 0

x = 1

Similarly,

(2-x) = 0

2 = x

Therefore, the value of x if given expression as (x-1)(2-x)<0 will be 1 and 2.

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Answer:

Distributive property

Step-by-step explanation:

The solution to the given system of linear equations is x = 4, y = 20

From the question, we are to determine solution to the given system of equations

The given system of equations is

x+y=6x=y+4

Thus, we can write that

x + y = 6x ----------- (1)

and

6x = y + 4 ------------(2)

Solve the two equations simultaneously

From equation (1)

x + y = 6x

y = 6x - x

y = 5x --------- (3)

Substitute into equation (2)

6x = y + 4

6x = 5x + 4

6x - 5x = 4

x = 4

Substitute the value of x into equation (3)

y = 5x

y = 5(4)

y = 20

Hence, the solution to the given system of linear equations is x = 4, y = 20

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