Which of the following rational functions is graphed below?
A. F(x)=1/-x²
B. F(x)=1/(x+1)²
c.
D. F(x)=1/x²

Answer:

It's D. 1.2(line) < 3.1(pi) < 4.6(square root 22)

Step-by-step explanation:

Look in the comments to figure out why D is correct. You're welcome! :)

The required reverse Euclidean algorithm is the solution to the modular equation (5x) mod 91 is

x = 6(mod 91).

Given that (5*x) mod 91 =32.

To solve the modular equation (5*x) mod 91 =32 using reverse Euclidean algorithm is to find the modular inverse of 5 modulo 91.

Consider  (5*x) mod 91 =32.

5x = 32(mod 91)

Apply the Euclidean algorithm to find GCD of 5 and 91 is

91 = 18 * 5 + 1.

Rewrite it in congruence form,

1 = 91 - 18 *5

On simplifying the equation,

1 = 91 (mod 5)

The modular inverse of 5 modulo 91 is 18.

Multiply equation by 18 on both sides,

90x = 576 (mod91)

To obtain the smallest positive  solution,

91:576 = 6 (mod 91)

Divide both sides by the coefficient of x:

x = 6 * 90^(-1).

Apply the Euclidean algorithm,

91 = 1*90 + 1.

Simplify the equation,

1 + 1 mod (90)

The modular inverse of 90 modulo 91 is 1.

Substitute the modular inverse in the given question gives,

x = 6*1(mod 91)

x= 6 (mod91)

Therefore, the solution to the modular equation (5x) mod 91 is

x = 6(mod 91).

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Answer:

Step-by-step explanation:

5 - 2y = - 8

Subtract 5 from both sides

-2y = - 8 - 5

-2y = - 13  

Divide by - 2

-2y/-2 = - 13/-2

y = 6 1/2 or 6.5

The most appropriate choice for cone and total surface area of cone will be given by-

Total surface area of the cone is \(198235.71 cm^2\)

What is cone and total surface area of cone?

Cone is a 3 dimensional figure whose base is a circle and upper surface finally converge to a point.

Cone is obtained by revolving a right angled triangle about one of its legs.

Total surface area of the cone is the sum of curved surface area of the cone and the area of the base of the cone.

If r is the radius of the base of the cone and l is the slant height of the cone, then total surface area of the cone will be given by

\(\pi r(r+l)\)

Here

Ratio of the slant height and radius of base of the cone = 2:1

Radius = 145cm

Slant height = \(145 \times 2\)

                    = 290 cm

Total surface area of cone = \(\pi r(r+l)\\\)

                                              = \(\frac{22}{7} \times 145\times (145+290)\\\)

                                              = \(\frac{22}{7} \times 145 \times 435\)

                                               = \(198235.71 cm^2\)

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Complete Question

The slant height and the radius of  base of the cone are in the ratio 2:1. If the radius of the cone is 145cm. What is the total surface area of the cone?​

The median and the range for the data-set are given as follows:

The median of a data-set is the middle value of a data-set, the value of which 50% of the measures are less than and 50% of the measures are greater than. Hence, the median also represents the 50th percentile of a data-set.

The ordered data-set is given as follows:

3, 6, 12, 15, 17, 19, 21.

The middle value is of 15, hence it represents the median of the data-set.

The range of a data-set is defined as the difference between the largest and the smallest value in the data-set, hence:

21 - 3 = 18.

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Answer:

3.58333 feet

Step-by-step explanation:

Answer:

y = x

Step-by-step explanation:

The inverse of f(x) = x is just y = x.

Answer:

0.4 hours

Step-by-step explanation:

or 24 minutes :D

It would take 370 days to build the wall with the given conditions.

If 60 men can build a wall in 40 days, then the total man-days required to build the wall is:

60 men x 40 days = 2400 man-days

However, 55 men quit every ten days, which means that after 10 days, there are only 60 - 55 = 5 men left to work on the wall. After 20 days, there are only 5 - 55 = -50 men left, which means that the remaining 5 men cannot work any faster than they were already working. Therefore, we can assume that the remaining 5 men complete the wall on their own.

The number of man-days required for the first 10 days is:

60 men x 10 days = 600 man-days

The number of man-days required for the second 10 days is:

5 men x 10 days = 50 man-days

The total number of man-days required for the first 20 days is:

600 man-days + 50 man-days = 650 man-days

The remaining work can be completed by the 5 men in:

2400 man-days - 650 man-days = 1750 man-days

Therefore, the total time needed to build the wall is:

20 days + 1750 man-days / 5 men = 20 + 350 days = 370 days

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Answer:

option A: West Europe, East Europe, and Asia

Explanation: Europe and Asia as a whole are called Eurasia.

hope that helps...

Answer: -0.55

Step-by-step explanation: We can assume we start off with 0$ of money, so if you lose 1 quarter, 2 dimes, and 2 nickels you would be 55 cents in debt, so 55 cents in debt would be -0.55. -25-20-10=-55.

Unless you are looking for the amount of money not counting whether or not you are in debt so that would just be 0.55.

Answer:

5x - 2 = 50

Step-by-step explanation:

The coupon takes $2 OFF the entire purchase, so we eliminate answers A and B. If we take away $2 off the price of each sandwich, then that would be a $10 coupon, so we eliminate C. The only answer left is D, so D is the answer.

Answer:

5x - 2 = 50

I READY!!!

holpe it help

He takes 2 hours to walk 3 miles.

If d is the distance and t is the time, and we are assuming a constant proportionality relationship between these two variables, we have:

We can calculate k (in this case is the average speed) knowing that he takes 2 hours (t=2) to cover 3 miles (d=3). As this point (2,3) belongs to the line, we replace and calcualte:

Then, we can write the relationship between distance d and time t as:

The graph that represents the function y= tanx is Option A.

The graph of y =tan (x) is a periodic function that has vertical asymptotes at x = (n + 1/2)π, where n is an integer.

It oscillates between positive and   negative infinity, creating a wave-  like pattern.

It has a repeating pattern of sharp peaks and valleys, exhibiting both positive and negative slopes.

Thus, option A is the correct answer.

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18x+30

Step-by-step explanation:

O think That's the answer...

Answer:

the answer is 2

Step-by-step explanation:

0=4x-8

-4x=-8

x=2

Answer:

x=2

Step-by-step explanation:

the x intercept is where the graph intersects the x axis also called the root of the equation.

y=0 if the graph intersects the x-axis

0= 4x-8; add 8 to both sides

8 = 4x ; divide both sides by 4

2=x

Answer:

I know Dave's one is 13.04$ Just to get you started.

Step-by-step explanation:

If you divide Dave's one, which is 67 by 5, you get 13.05.

Do the same with Joyce's.

\( \{ \: \alpha \: , \: \beta , \: a, \: b \}\)

\( \sf \longrightarrow \: No. \: of \: \: subsets = {2}^{n} \)

where, n denotes to number of elements in set .

Since, given set contains 4 elements .

Thus , 2⁴ {2 raise to power 4} .

\( \sf \longrightarrow \: No. \: of \: \: subsets = {2}^{4} \)

\( \sf \longrightarrow \: No. \: of \: \: subsets = 2 \times 2 \times 2 \times 2\)

\( \sf \longrightarrow \: No. \: of \: \: subsets = 4 \times 4\)

\( \sf \longrightarrow \: No. \: of \: \: subsets = 16\)

Therefore, Required subsets are 16.

They are , Namely;

\( \sf \longrightarrow \: subsets \: = \phi \: \{ \alpha \} \{ \beta \} \{ a\} \{ b\} \: \{ \alpha \beta \} \{ \alpha a\} \{ \alpha b\} \{ \beta a\} \{ \beta b\} \: .....\)

_____________________________

If n is the number of elements in the set then,

No. of subsets possible for this subset is 2^n that's the (2 raise to the power n).

Let's take another example, {1,2}

Here, n = 2

subsets =2^2 =4

Subsets = ϕ, {1}, {2},{1,2}

Note :- every set is a subset of itself i.e. {1,2} and ϕ is a subset of every set

option(1), option(2) and option(3) are correct they can be used to prove LMNO a rhombus.

According to the figure attached, we have to select all the options which help us to conclude that LMNO is a rhombus.

A rhombus can be defined as a special parallelogram as it fulfills the requirements of a parallelogram, i.e. a quadrilateral with two pairs of parallel sides. In addition to this, a rhombus has all four sides equal just like a square. That is why it is also known as a tilted square.

The properties of rhombus are:

1) All sides of a rhombus are congruent (equal).

2) Diagonals bisect each other at 90° or we can also say that each of the two diagonals in a rhombus is the perpendicular bisector of the other.

3) Opposite angles are equal and the opposite sides are parallel.

4) Adjacent angle are added up to 180°.

Now, as we look at the options given to us in the question then,

option(1), option(2) and option(3) are correct.

Therefore, option(1), option(2) and option(3) are correct they can be used to prove LMNO a rhombus.

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Answer:

1st choice

Step-by-step explanation:

$8.75 for each bag which means 8.75x

plus a fee of $18.50 which means + 18.50

Answer:

To solve this problem, we need to use the concept of distance, rate and time (D = R x T)

We know that the distance is 49 miles and the rate is 14 miles per hour.

We want to find the time T.

We can use the formula D = R x T, to find the time T:

T = D/R = 49 miles / 14 miles/hour = 3.5 hours

So it takes Nena 3.5 hours to ride from the city park to the nearby lake.

Now we know that she needs to arrive at the lake at 1:00 PM, so we have to work out what time she needs to leave the park. We can subtract the time T from the arrival time to find the departure time:

1:00 PM - 3.5 hours = 9:30 AM

Therefore, the latest Nena can leave the park in order to arrive at the lake at 1:00 PM is 9:30 AM

The inverse of the function f(x) = 4x is:

h(x) = 4/x

Two functions f(x) and g(x) are inverses if:

f( g(x)) = x

g( f(x)) = x

Here we want to find the inverse of the function:

f(x) = 4x

So let's assume that h(x) is the inverse, then the composition must be equal to x:

f(h(x)) = 4*h(x) = x

Now we can solve that for h(x), then we will get:

h(x) = x/4

That is the inverse of function f(x).

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Answer:

$73280.74

Step-by-step explanation:

We will use the compound interest formula to find the answer

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

Where A is the total amount of money, P is the principal investment amount (how much you put in initially), R is the interest rate, N is the number of times interest is applied per period and T is the number of time periods elapsed.

$10,000 would be the principal investment amount

10% would be the interest rate

12 would be the number of times interest is applied per period (since it is paid monthly)

and 20 would be the number of time periods (as it's the number of years)

A = 10000(1+0.1/12)^(12*20)

A = 10000(7.3280736)

A = 73280.74

The monthly PMI Payment for Christina's loan is $37.50.The correct answer is option B.

To determine Christina's monthly PMI (Private Mortgage Insurance) payment, we need to find the corresponding interest rate for her loan-to-value (LTV) ratio. The LTV ratio is calculated by dividing the loan amount by the property value.

The loan amount can be calculated by subtracting the down payment from the property value:

Loan amount = Property value - Down payment

           = $170,000 - $20,000

           = $150,000

Now we can calculate the LTV ratio:

LTV ratio = Loan amount / Property value * 100

         = $150,000 / $170,000 * 100

         = 88.24%

Since Christina is obtaining a 30-year mortgage, we need to look at the interest rates for LTV ratios between 85.01% and 90%. According to the table, the interest rate for this range is 0.30%.

To calculate the PMI payment, we multiply the loan amount by the PMI rate and divide it by 12 months:

PMI payment = (Loan amount * PMI rate) / 12

           = ($150,000 * 0.30%) / 12

           = $450 / 12

           = $37.50

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The Probable question may be:
Christina is buying a $170,000 home with a 30-year mortgage. She makes a $20,000 down payment.

Use the table to find her monthly PMI payment

Base to loan% = 95.01% to 97%,90.01% to 95%,85.01% to 90%,80.01% to 85%.

30-year fixed-rate loan = 0.55%,0.41%,0.30%,0.19%

15-year fixed-rate loan = 0.37%,0.28%,0.19%,0.17%.

A. $51.25

B. $37.50

C. $23.75

D. $42.50

Answer:

x - 4 yards.

Step-by-step explanation:

Given:

Area of rectangle = 3x^2 - 12x square yards

Width = 3x yards

To find:

Length of rectangle

Solution:

The area of a rectangle is equal to the product of its length and width.

Area of rectangle = Length * Width

Substituting the given values, we get:

3x^2 - 12x = Length * 3x

Length =( 3x^2 - 12x )3x

Length = x-4

Therefore, the length of the rectangle is x - 4 yards.

Answer: The length of the rectangle is x - 4 yards.

Step-by-step explanation:

We can create an equation to solve this word problem, where the variable L = length.

3x  ×  L  = \(3x^2 - 12x\)

We need to solve for the variable L, to find the length of the rectangle.

First lets factor the right side of the equation to make it easier to divide with.

3x  ×  L  = \(3x^2 - 12x\)

We can factor out 3x from the right side of the equation.

3x  ×  L  = 3x(x - 4)

Now we need to get the variable L by itself (isolating the variable). In order to do that, we can divide both sides by 3x.

3x ×  L  = 3x(x - 4)

/3x           /3x

L = x - 4

The length of the rectangle is x - 4 yards.

Answer:

get a graphing caculator and type the numbers in the rectangle and see what you get

Step-by-step explanation:

Answer:

-3a+3bx+2ab

Step-by-step explanation: