ABCD is parallelogram. AED, CED and BCF are straight lines Find AED , DEF and CFE

The vertical asymptote is x=2 and horizontal asymptote is y = 0

An asymptote is a straight line that constantly approaches a given curve but does not meet at any infinite distance. In other words, Asymptote is a line that a curve approaches as it moves towards infinity.

There are three types is asymptotes:

Horizontal asymptote , Vertical asymptote and oblique asymptote.

in the expression 1/x-2, the horizontal asymptote is y=0 since the power of x in the numerator is less than that of denominator.

And the vertical asymptote is found by equation the denominator to zero

therefore x-2= 0

x= 2

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Answer:

a) He didn't add 2.

b) 38/3

The perimeter of the isosceles triangle will be P(x) = x√2 + 2x.

A polygon with three sides is known as a triangle. The angles of a triangle add up to form 180° and the sum of all sides of a triangle is known as the perimeter. In an isosceles triangle, the two sides are equal and their opposite angle too. In an isosceles triangle, the hypotenuse side of the triangle can be written as h(x) = x√2. The combined length comes out to be  L(x) = 2x. Using this information the perimeter of the triangle comes out to be,

P(x) = h(x) + L(x).

P(x) =  x√2 + 2x

Hence the perimeter of the triangle comes out to be P(x) =  x√2 + 2x

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6 hours will it take another train to travel the same distance .

What is speed?

Average speed = Total distance/Total time

A train travels 3 hours at 20km per hour.

 train travels 20 km in 1 hours.

      then in 3 hours train travels = 3 * 20 = 60 km

 total speed = 10 km/hr

          t = distance/speed

           = 60/10 = 6 hours

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g(x) = (x+2-3) + 4 = (x-1)+4

The greatest product that PQ x RS can have: 96 * 87 = 8352

In this question, we have been given PQ and RS represents a 2-digit numbers. Different letter represent different digits, chosen from 6, 7, 8 and 9

We need to find the greatest product that PQ x RS can have.

Consider P = 9, Q = 6, R = 8 and S = 7

So the two digit numbers would be,

PQ = 96 and RS = 87

PQ x RS

= 96 * 87

= 8352

Therefore, the greatest product that PQ x RS can have: 96 * 87 = 8352

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The domain of the given function is {1, 2, 3, 4, 5} which represents she sells t-shirts.

The domain of a set of ordered pairs includes all possible x values of a function, and the range includes all possible y values of a set of ordered pairs.

We have been given that Sasha sells t-shirts. Each day she earns a set amount, plus a commission.

The domain of the given function represents she sells t-shirts.

According to the given table, the required domain will be as:

The domain of the given function = {1, 2, 3, 4, 5}.

Therefore, the domain of the given function is {1, 2, 3, 4, 5}.

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7. The composite functions are given as follows:

a. f(g(x)) = [tex]\frac{3x}{-x^2 + 3x - 1}[/tex].

b. g(f(x)) = [tex]\frac{3x(x - 1)}{9x^2 + x - 1}[/tex]

c. (f(g(3)) = -9.

8. The inverse function is given as follows:

[tex]f^{-1}(x) = \frac{4 + x}{3 - x}[/tex]

The composite functions are obtained using the inner function as the input to the outer function.

In this problem, the functions are defined as follows:

The composite of f and g is:

[tex]f(g(x)) = f\left(\frac{3x}{x^2 + 1}\right) = \frac{\frac{3x}{x^2+1}}{\frac{3x}{x^2+1} - 1} = \frac{\frac{3x}{x^2+1}}{\frac{-x^2 + 3x - 1}{x^2 + 1}} = \frac{3x}{-x^2 + 3x - 1}[/tex]

At x = 3, the numeric value of the composite function is given as follows:

f(g(3)) = 9/(-9 + 9 - 1) = -9.

The composite function of g and f is given as follows:

[tex]g(f(x)) = g\left(\frac{x}{x - 1}\right) = \frac{\frac{3x}{x - 1}}{\left(\frac{3x}{x - 1}\right)^2 + 1} = \frac{3x}{x - 1} \times \frac{(x - 1)^2}{9x^2 + x - 1} = \frac{3x(x - 1)}{9x^2 + x - 1}[/tex]

The function is given as follows:

y = (3x + 4)/(x - 1)

The find the inverse, the variables x and y are exchanged, and then y is isolated, as follows:

x = (3y + 4)(y - 1)

xy - x = 3y + 4

3y - xy = 4 + x

y(3 - x) = 4 + x

y = (4 + x)/(3 - x)

[tex]f^{-1}(x) = \frac{4 + x}{3 - x}[/tex]

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Answer:

y=3x+1

Step-by-step explanation:

we know slope so just fill in the rest

y=3x

-2=3(-1)

-2=-3

We add 1 to make the equation true so the y intercept is 1

Hopes this helps please mark brainliest

The angle ∠U is the largest in triangle ΔTUV. Then the largest side will be TV.

The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.

In ΔTUV, m∠T = 58° and m∠U = 97°.

Then the third angle of the triangle will be given as,

∠T + ∠U + ∠V = 180°

58° + 97° + ∠V = 180°

155° + ∠V = 180°

∠V = 180° - 155°

∠V = 25°

In a triangle, the opposite angle of the largest side will be the largest one.

The angle ∠U is the largest in triangle ΔTUV. Then the largest side will be TV.

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Sally purchased 7 pieces of orange .

Conversion applied :

1 dollar = 100 cents

Cost of 1 piece of orange = 51 cents

Cost of 1 piece of apple = 42 cents

Let pieces of orange purchased be x .

⇒ pieces of apples purchased = 11 - x .

The following linear equation becomes ,

51 x + 42 ( 11 - x ) = 5.25 * 100

Solving linear equation in 1 variable given above ,

9 x = 63

x = 7

⇒ no. of oranges purchased = 7

Therefore Sally purchased 7 pieces of orange .

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The value of tan A = 1

Trigonometric ratios are the ratios of sides of a right-angle triangle. The six trigonometric ratios of a right angle triangle are Sin, Cos, Tan, Cosec, sec and cot.

The trigonometric ratios relate the sides of the triangle with the angles of the triangle.

tan(A+B) = -4, tan B = 5/3

But tan(A + B) = [tex]\frac{tan A + tanB}{1-tanAtanB}[/tex]

Substituting the values of tan(A +B) tan B

-4 = [tex]\frac{tan A + 5/3}{1 - 5/3tanA}[/tex]

multiply numerator and denominator by 3, you have

-4 = [tex]\frac{3tanA + 5}{3 -5tanA}[/tex]

-4(3-5tanA) = 3tanA +5

-12 +20tanA = 3tanA +5

collect like terms

20tanA - 3tanA = 5 +12

17tanA = 17

tan A = 17/17

tanA = 1

In conclusion, the value of tanA = 1

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The expression for the given case can be written as  F = P - 1.2n.

An algebraic expression can be obtained by doing mathematical operations on the variable and constant terms.

The variable part of an algebraic expression can never be added or subtracted from the constant part.

The addition and subtraction can only take place between like terms.

Given that,

The penalty for an ice skater for a fall is 1.2 points.

Suppose the total points of ice skater be P, the number of falls be n and the final score be F.

Then  following expression can be written for final score,

F = P - 1.2n

Hence, the expression for ice skater's final score is F = P - 1.2n.

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Answer:

the answer is 9/14

Step-by-step explanation:

2/7× 2 1/4 = 2/7× 9/4

= 2 × 9 / 7 × 4

= 18/28

= 9/14

Answer:

he read 4940 pages in a year

Step-by-step explanation:

Given data:

1 year= 52 weeks

1 book= 95pages (takes 1 week to complete)

for 1 year = 52x95

                =4940

Answer:-2(3+(-4)+(-8)*7)=114

Step-by-step explanation: You wrote the equation wrong, but if you use PEMDAS that's the answer you'll get.

One can use the f-statistic to test whether the overall regression equation is statistically significant, one uses the f-statistic.

A reasonably high R-squared score makes sense if your regression model includes independent variables that are statistically significant. According to the statistical significance, shifts in the dependent variable are correlated with changes in the independent variables.

The ratio of two variances is known as an F-statistic, and it bears Sir Ronald Fisher's name. Variances gauge how widely apart the data points are from the mean. When the individual data points tend to deviate further from the mean, there are more variances.

The F-test determines that it is unlikely that all of the coefficients will equal zero by adding the predictive power of all independent variables. But it's likely that none of the variables are individually important enough to be statistically significant.

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8 percentage of her total monthly budget does she plan for savings.

The proportion of value in relation to the original value is measured using the percentage concept. In business, percentages are frequently employed to calculate a company's profit or loss percentage. Additionally, it is used in schools and colleges to show the grades that pupils have earned. A percentage formula can be used to assess the pupils' grades. In general, the definition of a percentage is any ratio of a value to the total value multiplied by 100. The percentage is denoted by the sign %.

Given,

Melissa's monthly budget is shown in the table,

Melissa' s saving = $250

Total amount = 3125

Percentage = Value/ Total × 100

Percentage = 250/3125 × 100

Percentage = 0.08 × 100

Percentage = 8%

8 percentage of her total monthly budget does she plan for savings.

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Answer:

Step-by-step explanation:

One example is a=-6 and b=3

-6/3=-2

-6*3=-18

-2 is greater than -18; the quotient is greater than the product in this case.

Another example is a=6 and b=3

6/3=2

6*3=18

2 is smaller than 18; the quotient is smaller than the product in this case.

Using the concepts of hypothesis test, we got that something is happening that wasn’t accounted for as a result when a significant chi-square value is obtained.

A chi-squared test (symbolically represented as χ2) is basically the data analysis on the basis of the observations of a random set of variables. Usually, it is the comparison of two statistical data sets. This test was introduced by Karl Pearson in the 1900 for categorical data analysis and distribution. So it was mentioned as a Pearson’s chi-squared test.

The chi-square test is actually used to estimate how likely the observations that are made would be, by considering assumption of the null hypothesis as true.

Hence, a study is designed to test whether there is a relationship between natural hair colors and eye colors, in that case if a significant chi-square value is obtained it suggests that something is happening that wasn’t accounted for .

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Answer:

22

Step-by-step explanation:

The different ways of solving percent increase or percent decrease problems has been described below

What is percentage?

Suppose there is a number and the number has to be expressed as a fraction of 100. The fraction is called percentage.

One way to solve the percentage increase or decrease problem is by multiplying the original number by the percentage given and then adding the result with the original number.

Another method is by multiplier method

Here, the original number is taken as 1 and the given percentage has to be converted to decimal and then  1 and the percentage obtained as decimal is added or subtracted. The result obtained has to be multiplied by the original number to get the required number after increase or decrease

For the first method

Suppose the number is n and it is increased by p%

Required result is

[tex]n + \frac{p}{100}\times n\\n( 1 + \frac{p}{100})[/tex]

For the second method

Suppose the number is n and it is increased by p%

Here n is taken as 1 and p% is converted to decimal

then 1 and p% in decimal form is added

we get (1 + 0._p)

Now the result is obtained is multiplied by n

Required result is

n(1 + 0._p)

[tex]n(1 + \frac{p}{100})[/tex]

In this way the two methods are related

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The sample of study is 100 business.

An outcome of a random experiment is a sample. A random variable is sampled when we choose one particular value from its range of potential values. A sample is that precise value. The probability distribution of the random variable determines the possible values and the likelihood of each. A sample is a condensed, controllable representation of a larger group. It is a subgroup of people with traits from a wider population. When population sizes are too big for the test to include all potential participants or observations, samples are utilized in statistical testing.

Given,

Snoopy brown is interested in the number of businesses that do not allow dogs in st. paul, mn. to conduct his study, he randomly selects 100 businesses listed in the st. paul phone book, calls them and asks their policy.

The sample of study is 100 business.

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Answer: you are dummy

Step-by-step explanation:dummy

The discrete and continuous random variables are-

a) Discrete; (b) Continuous; (c) Discrete; (d) Continuous; (e) Discrete; (f) Continuous

(a) So because number of new accounts is counted, (a) discrete (like, non-negative integers).

(b) Continuous, given that the interval between customer arrivals may have decimal values (like 2.9 minutes or 27.75 seconds).

(c) Because the quantity of clients is counted, (c) discrete (like, non-negative integers).

(d) Continuous, as the fuel consumption can have decimal values (like 15.5 gallons).

(e) Since this number of minorities is counted, (e) discrete (like, non-negative integers).

(f) Continuous since the outdoor temperature can be expressed in decimal degrees (e.g., 7.78 C).

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Answer:

Step-by-step explanation      a=0.32

The required simplified value of x in the given expression is 8.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
2.8x + 10 + 5.7x = 70+x

Simplifying,
8.5x + 10 = 70 + x
8.5x - x = 70 - 10
7.5x  = 60
x = 60 / 7.5
x = 8

Thus, the required simplified value of x in the given expression is 8.

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Answer:

b)1.39

Step-by-step explanation:

i got it right on test

Answer:

other base = 16.3 yds

Step-by-step explanation:

the area (A) of a trapezoid is calculated as

A = [tex]\frac{1}{2}[/tex] h (b₁ + b₂ )

where h is the height between the parallel bases b₁ and b₂

given b₁ = 7 , h = 12 and A = 139.8 , then

[tex]\frac{1}{2}[/tex] × 12 × (7 + b₂ ) = 139.8

6(7 + b₂ ) = 139.8 ( divide both sides by 6 )

7 + b₂ = 23.3 ( subtract 7 from both sides )

b₂ = 16.3

the length of the other base is 16.3 yards

60 different combinations of cone, ice cream, and topping are possible.

The combination is defined as an arrangement of objects where the order in which the objects are selected does not matter.

Given that, an ice cream shop offers customers 2 different types of cones, 5 different flavours of ice cream, and 6 different toppings

Total combination = 2*5*6 = 60

Hence, there are 60 different combinations of cone, ice cream, and topping are possible.

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