11. A sweater is on sale for $34.15. If the
markdown on the sweater is 45%, what
was the original cost of the sweater?
Show your work.
7.0

The proportion of rural residences with at least three cars or trucks is 0.105.

Here we are given the data on a random sample of Ohio voters.

Here we need to find the proportion of rural residents that own at least 3 cars or trucks.

Here we are already provided with the data that would be required to find the given information.

The type of community the voters belong to has been segregated here column-wise, while the number of cars or trucks owned by them has been segregated row-wise.

Hence first we will locate the rural community column. It is the seconf column of the table.

Then we will see that the number of voters with three or more cars or trucks is given in the 4th column.

Hence the number of rural residents with 3 or more cars or trucks is 335.

Since nothing has been given, we will assume that the proprotion is with the grand total of voters sampled. This we will get from the last cell of the table which is 3200

Hence to get the required proportion we will divide the no. of rural residents with 3 or more vehicles with that of grand total to get

335/3200

= 0.105

To learn more about Proportion visit

https://brainly.com/question/10644018

#SPJ4

Complete Question

Image Attached

The compound inequality which represents the range of possible values of x for the given triangle is  8<x<34.

What is triangle?

A triangle is a specific type of polygon which consists of three sides, three angles and three vertices. There are different types of triangle based on different types of base and angles.

In triangle ABC, the side lengths are AB = 13, AC=21, and BC = x.

Here we use the theorem of triangle that describes , the sum of the length of any two sides of a triangle is always greater than the third side.

So at first considering BC as longer side we get,

AB+AC>BC

putting the values we get,

13+21> x

34>x

34>x

Again considering AC as the longer side and again applying the same argument of triangle we get,

AB+BC>AC

13+x>21

x>21-13

x>8

Hence, the compound inequality which represents the range of possible values of x for the given triangle is  8<x<34.

To know more about  triangle

https://brainly.com/question/1058720   from the link.

#SPJ9

Answer:1707.75 ft

Step-by-step explanation: you first take the area of the shaded area and subtract the area of the white area to get your answer.

The variance of X is 195.

We can use the following equations to solve the problem:

Var(X) = E(X^2) - [E(X)]^2

E(X*) = E(X) + 13

We are given that E(X) = 1, Var(X^2) = 5, and E(X*) = 14.

Substituting E(X*) into the equation for E(X), we get E(X) + 13 = 14, which gives E(X) = 1.

Using the equation for Var(X^2), we can find E(X^2) as follows:

Var(X^2) = E(X^2) - [E(X)]^2

5 = E(X^2) - 1

E(X^2) = 6

Substituting these values into the equation for Var(X), we get:

Var(X) = E(X^2) - [E(X)]^2

Var(X) = 6 - 1^2

Var(X) = 5

Therefore, the variance of X is 195.

For more questions like Variance click the link below:

https://brainly.com/question/14747159

#SPJ11

The area of ΔXYZ is approximately 3.01 square inches.

Area is a measure of the amount of space inside a two-dimensional shape or surface, such as a square, circle, or triangle.

Perimeter is the distance around the outer edge of a two-dimensional shape or surface. It is the sum of the lengths of all the sides of the shape.

To find the area of the triangle, we can use the formula:

A = (1/2) * base * height

where the base and height are two sides of the triangle that meet at a right angle.

We are given two sides of the triangle, x and y, but we do not know which one is the base and which one is the height. However, we can use the given angle to determine which side is perpendicular to the other.

Since ∠Z=95°, we know that the side opposite to this angle (which is either x or y) is the base of the triangle. Let's assume that x is the base and y is the height. Then, we can use trigonometry to find the height:

sin(95°) = y / x

y = x * sin(95°)

y ≈ 4.30 inches

Now that we know the base and height, we can use the area formula:

A = (1/2) * x * y

A ≈ (1/2) * 1.4 * 4.30

A ≈ 3.01 square inches

Therefore, the area of ΔXYZ is approximately 3.01 square inches, rounded to the nearest 10th of a square inch.

To know more about area visit:

https://brainly.com/question/20693059

#SPJ1

The population of the city will be approximately 408,022 after 5 years with a 3% annual growth rate.

To find the population of the city after a certain number of years with a 3% annual growth rate, we can use the formula:

P = P₀(1 + r)ⁿ

where:

P₀ = initial population

r = annual growth rate (as a decimal)

n = number of years

P = population after n years

In this case, we have:

P₀ = 350,000

r = 0.03 (since the annual growth rate is 3 percent, or 0.03 as a decimal)

n = the number of years we want to find the population for

Substituting these values into the formula, we get:

P = 350,000(1 + 0.03)ⁿ

Simplifying:

P = 350,000(1.03)ⁿ

If we want to find the population after, say, 5 years, we can substitute n = 5 into the formula:

P = 350,000(1.03)⁵

P ≈ 408,022

Therefore, the population of the city will be approximately 408,022 after 5 years with a 3% annual growth rate.

To know more about rate, visit:

https://brainly.com/question/14731228

#SPJ1

To express 6.72727... as a rational number, we can represent it as a fraction with a repeating decimal. Let x = 6.72727...

Multiplying both sides by 100, we get:

100x = 672.72727...

Subtracting x from both sides, we get:

99x = 666

Dividing both sides by 99, we get:

x = 666/99

Simplifying the fraction by dividing both the numerator and denominator by the greatest common factor of 666 and 99, which is 3, we get:

x = 222/33

Therefore, p = 222 and q = 33, with no common factors.
To express the repeating decimal 6.72727... as a rational number in the form p/q, follow these steps:

Let x = 6.72727...
Multiply both sides by 100 to shift the repeating part: 100x = 672.72727...

Subtract the first equation from the second equation: 100x - x = 672.72727... - 6.72727...
This simplifies to 99x = 666.

Now, divide both sides by 99: x = 666/99

To ensure no common factors, simplify the fraction: x = 2 * 333 / (3 * 33) = 2 * 333 / 99 = 2 * (3 * 111) / 99 = (2 * 111) / 33 = 222/33

So, p = 222 and q = 33.

Visit here to learn more about rational number  : https://brainly.com/question/24540810
#SPJ11

The Cauchy-Schwarz Inequality states that for any vectors u and v in a given inner product space.

The following inequality holds:
|u·v| ≤ ||u|| ||v||
where u·v denotes the dot product of u and v, and ||u|| and ||v|| denote the lengths (or magnitudes) of the vectos.
To verify the inequality for the given vectors, we first need to calculate their dot products and lengths.
For Exercise 33
u·v = (3)(2) + (4)(-3) = -6
||u|| = √(3^2 + 4^2) = 5
||v|| = √(2^2 + (-3)^2) = √13
Substituting these values into the inequality, we get:
|u·v| = |-6| = 6
||u|| ||v|| = (5)(√13) ≈ 11.18
Since 6 ≤ 11.18, the Cauchy-Schwarz Inequality is verified for u and v in this case.
For Exercise 34:
u·v = (-1)(1) + (0)(1) = -1
||u|| = √((-1)^2 + 0^2) = 1
||v|| = √(1^2 + 1^2) = √2
Substituting these values into the inequality, we get:
|u·v| = |-1| = 1
||u|| ||v|| = (1)(√2) ≈ 1.41
Since 1 ≤ 1.41, the Cauchy-Schwarz Inequality is verified for u and v in this case.
For Exercise 35:
u·v = (1)(1) + (1)(-3) + (-2)(-2) = 8
||u|| = √(1^2 + 1^2 + (-2)^2) = √6
||v|| = √(1^2 + (-3)^2 + (-2)^2) = √14
Substituting these values into the inequality, we get:
|u·v| = |8| = 8
||u|| ||v|| = (√6)(√14) ≈ 6.48
Since 8 ≤ 6.48, the Cauchy-Schwarz Inequality is verified for u and v in this case.
For Exercise 36:
u·v = (1)(0) + (-1)(0) + (0)(-1) = 0
||u|| = √(1^2 + (-1)^2 + 0^2) = √2
||v|| = √(0^2 + 0^2 + (-1)^2) = 1
Substituting these values into the inequality, we get:
|u·v| = |0| = 0
||u|| ||v|| = (√2)(1) ≈ 1.41
Since 0 ≤ 1.41, the Cauchy-Schwarz Inequality is verified for u and v in this case.

Learn More About  Cauchy-Schwarz Inequality: https://brainly.com/question/17074726

#SPJ11

The pdf of y is given by f(y) = 0.2e^(-0.2y), where y >= 0. The expected value of y squared is 50. The probability that y is greater than 5 is approximately 0.0067.

(a) We use the following formula to determine the probability density function (pdf) of an exponential random variable:

f(y) = λe^(-λy)

when the rate parameter is used. Using the variance formula, we can find the answer to :

var[y] = (1/λ)² = 25

By solving for, we obtain:

λ = 0.2

The pdf of y is given by f(y) = 0.2e^(-0.2y), where y >= 0.

(b) We know that the variance of y is var[y] = 25, and we also know that var[y] = E[y²] - (E[y])². Therefore, we can solve for E[y²] as follows:
25 = E[y²] - (1/0.2)²
25 = E[y²] - 25
E[y²] = 50
So the expected value of y squared is 50.

(c) To find p[y > 5], we need to integrate the pdf of y from 5 to infinity:
p[y > 5] = integral from 5 to infinity of f(y) dy
= integral from 5 to infinity of 0.2e^(-0.2y) dy
= [-e^(-0.2y)] from 5 to infinity
= e^(-1) * 0.2
= 0.0067 (rounded to four decimal places)
Therefore, the probability that y is greater than 5 is approximately 0.0067.

To know more about probability visit:

https://brainly.com/question/30034780

#SPJ11

(a) To find the mean number of customers who pay with a debit card among the next 100 customers, we multiply the total number of customers by the probability of paying with a debit card:

Mean = 100 * P(B) = 100 * 0.052 = 5.2

To find the variance, we use the formula:

Variance = n * p * (1 - p)

where n is the number of trials (100) and p is the probability of success (paying with a debit card).

Variance = 100 * 0.052 * (1 - 0.052) = 4.936

So the mean number of customers who pay with a debit card among the next 100 customers is 5.2, and the variance is 4.936.

(b) To find the mean number of customers who don't pay with cash among the next 100 customers, we first find the probability of not paying with cash:

P(not C) = P(A or B) = P(A) + P(B) = 0.055 + 0.052 = 0.107

Then we multiply by the total number of customers:

Mean = 100 * P(not C) = 100 * 0.107 = 10.7

To find the variance, we again use the formula:

Variance = n * p * (1 - p)

where n is the number of trials (100) and p is the probability of success (not paying with cash).

Variance = 100 * 0.107 * (1 - 0.107) = 9.656

So the mean number of customers who don't pay with cash among the next 100 customers is 10.7, and the variance is 9.656.

Visit here to learn more about probability  : https://brainly.com/question/30034780
#SPJ11

To calculate how long it will take for the pond to be filled with rainfall at a rate of 1cm per hour, we need to know the volume of the pond. This answer seems impractical as it equates to approximately 17,917 years. Therefore, we can conclude that the pond will never fill up with rainfall at a rate of 1cm per hour.

Let's assume the pond is a circular shape with a diameter of 10 meters and a depth of 2 meters. To find the volume, we need to use the formula for the volume of a cylinder, which is πr^2h, where π is approximately 3.14, r is the radius of the pond (5 meters), and h is the depth (2 meters).
So, the volume of the pond is approximately 157 cubic meters (3.14 x 5^2 x 2). Now, we need to convert this volume into centimeters, as the rainfall rate is given in cm/hr. One cubic meter is equal to 100 x 100 x 100 cubic centimeters, which equals 1,000,000 cubic centimeters. Therefore, the pond's volume is 157 x 1,000,000 = 157,000,000 cubic centimeters.
Now, we can calculate how long it will take to fill the pond with rainfall at a rate of 1cm per hour. We divide the volume of the pond by the rate of rainfall, which gives us 157,000,000 / 1 = 157,000,000 hours.

For more questions on volume

https://brainly.com/question/1972490

#SPJ11

Answer:

4/52 about 7.7%

Step-by-step explanation:

there are 52 cards

4 queens and kings total - 1 per each suit

4/52 about 7.7%

True. If a function f is periodic, it means that it repeats itself after a certain interval. Let T be the period of f, then f(x+T) = f(x) for all x.

If f is differentiable, then its derivative f' exists. Let's take the derivative of f(x+T) with respect to x:

f'(x+T) = lim h->0 [(f(x+T+h) - f(x+T))/h]

Since f(x+T) = f(x), we can replace f(x+T+h) with f(x+h) in the above expression:

f'(x+T) = lim h->0 [(f(x+h) - f(x+T))/h]

Now, we can add and subtract f(x) in the numerator:

f'(x+T) = lim h->0 [(f(x+h) - f(x))/h + (f(x) - f(x+T))/h]

Using the definition of f'(x), we get:

f'(x+T) = f'(x) + lim h->0 [(f(x) - f(x+T))/h]

Since f is periodic, we know that (f(x) - f(x+T)) = 0 for all x. Therefore, the limit in the above expression is zero.

Hence, we get:

f'(x+T) = f'(x)

This shows that f' is also periodic with period T.

Learn more about function here:

brainly.com/question/21264120

#SPJ4

Answer:

can i have the options and any more information

Step-by-step explanation:

The test that would be conducted to see if the claim that the mean price of SUVs in the region is $45,000 is true would be a one-sample t-test.

The kind of test conducted to determine if the mean price of SUVs in the region is $45,000 is a hypothesis test, specifically a one-sample t-test or z-test, depending on the sample size and available information about the population's standard deviation. This test compares the sample mean price to the claimed mean price to assess whether there's significant evidence to support or refute the claim.

Learn more about Sample:

brainly.com/question/29610907

#SPJ11

The integral ∫[-2, 3] x^4 dx is convergent, and its value is 55. It is essential to identify the given integral, determine its convergence or divergence, find the antiderivative of the integrand, apply the Fundamental Theorem of Calculus, and simplify the result. These steps will help us to solve any integrals, and it is important to understand and practice these steps to succeed in calculus.

The given problem is to determine whether the integral ∫[-2, 3] x^4 dx is convergent or divergent and evaluate it if it is convergent. To solve this problem, we need to follow a few steps.

Firstly, we need to identify the given integral, which is a definite integral with lower limit -2 and upper limit 3, and the function is x^4.

Secondly, we need to determine if the integral is convergent or divergent. Since the integrand x^4 is a continuous and well-defined function over the interval [-2, 3], the integral is convergent.

Thirdly, we need to evaluate the convergent integral. To do this, we find the antiderivative of x^4 with respect to x, which is (x^5)/5.

Fourthly, we apply the Fundamental Theorem of Calculus and substitute the limits -2 and 3 into the antiderivative to get [(3^5)/5 - (-2^5)/5] = [243/5 + 32/5] = [275/5].

Finally, we simplify the result, and the final answer is 55. Therefore, the integral ∫[-2, 3] x^4 dx is convergent, and its value is 55.

Learn more about the convergent or divergent integral :

https://brainly.com/question/30726405

#SPJ11

Katherine should proofread the recommendation report, and you should finish the slide deck for the presentation. This is an example of a compound sentence.

An activity in which someone shows, describes, or explains something to a group of people. The charts and graphs helped me understand the presentation. She will take your questions after she has made her presentation. The senior accountant gave a presentation at the meeting.

In this case, a compound sentence us a sentence that has two independent clauses.

Therefore, Katherine should proofread the recommendation report, and you should finish the slide deck for the presentation. This is an example of a compound sentence.

Learn more about Presentation at:

https://brainly.com/question/820859

#SPJ4

p-series is divergent series.

The p-series is of the form 1/n^p. Using Theorem 9.11, we can see that this series converges if p > 1 and diverges if p <= 1.

In this series, we have the terms 1/squareroot, 1/squareroot 3, 1/squareroot 4, 1/squareroot 5, etc. Notice that the exponent of each term is less than 1.

Therefore, this series is a divergent series, since p <= 1.

Adding the first two terms, we get 1 + 1/2 = 3/2.

Adding the first three terms, we get 1 + 1/2 + 1/3 = 11/6.

Adding the first four terms, we get 1 + 1/2 + 1/3 + 1/4 = 25/12.

Adding the first five terms, we get 1 + 1/2 + 1/3 + 1/4 + 1/5 = 137/60.

Therefore, p = divergent series.

Learn more about Divergent Series: https://brainly.com/question/15415793

#SPJ11

The nearest thousand dollars, Chase will end up paying $280,000 in interest charges over the 30-year term.

Firstly, let's define some key terms. APR stands for Annual Percentage Rate, which is the interest rate charged on the loan over the course of a year. In this case, Chase's APR is 5.34%. The mortgage is also set for a 30-year term, meaning that he will make monthly payments for 30 years until the loan is fully paid off. The monthly payment amount is $1,550.66.

To calculate the total interest charges over the 30-year term, we need to first determine the total amount of payments that Chase will make. This is calculated by multiplying the number of payments (30 years x 12 months per year = 360 payments) by the monthly payment amount ($1,550.66).

Total payments = 360 x $1,550.66 = $558,237.60

Next, we subtract the initial loan amount ($278,000) from the total amount of payments made to determine the total amount of interest paid.

Total interest = $558,237.60 - $278,000 = $280,237.60

To know more about interest here

https://brainly.com/question/22621039

#SPJ4

To find f(g(x)), we need to substitute g(x) for u in the expression for f(u):

f(g(x)) = tan(g(x)) = tan(x^8)

To find f'(u), we need to use the derivative rules for tan(u):

f'(u) = sec^2(u)

To find f'(g(x)), we need to use the chain rule:

f'(g(x)) = sec^2(g(x)) * g'(x) = 8x^7 * sec^2(x^8)

To find g'(x), we use the power rule:

g'(x) = 8x^7

To find (f∘g)'(x), we use the chain rule:

(f∘g)'(x) = f'(g(x)) * g'(x) = 8x^7 * sec^2(x^8)

Visit here to learn more about chain rule brainly.com/question/28972262

#SPJ11

The quadratic function  f(x) = (1) 2(x+3)² 5 ​​​​of the vertex passing through point

(2) f(x) = (-1/3) (x + 8) (x +2)

A vertex is the point where two or more curved lines or angles meet. As a result of this definition, the point where two straight lines  form an angle and the angles of a polygon and a polyhedron meet are the vertices

To find a quadratic function based on a vertex and a point, we can use the vertex form of a quadratic equation:

f(x) = a(x - h)² + k,

where (h, k) is the vertex.

In this case, the vertex is (-3, 5), so h = -3 and k = 5. We also know that the function passes through the point (0, 23), so we can substitute these values ​​into the equation and solve:

23 = a(0 - (-3))² + 5

23 = 9a + 5

18 = 9a

a = 2

Therefore, the quadratic function is:

f(x) = 2(x 3)²+ 5

To find a quadratic function based on zeros and points, we can use the factored form of a quadratic equation:

f(x) = a(x - r)(x - s),

where r and s are the zeros (roots) of the function.  In this case, the zeros are -8 and -2, so we can write the function as:

f(x) = a(x + 8) (x + 2)

We also know that the function passes through the point (-6, 4), so we can substitute these values ​​into the equation and solve for a:

4 = a(-6 + 8)(-6 + 2)

4 = -12 years

a = -1/3

Therefore, the quadratic function is:

f(x) = (-1/3) (x + 8) (x + 2)

Learn more about Polygons here

https://brainly.com/question/24464711

#SPJ1

Answer:

.00155971479

Step-by-step explanation

this is all wrong tbh

Lengths of the diagonals are decreasing at a rate of approximately 7.07 meters per second when the sides are 5 meters long.

Area of the square is decreasing at a rate of 10 square meters per second when the sides are 5 meters long.

a) To find the rate of change of the area of the square, we can use the formula A = s², where A is the area and s is the length of the side. We can take the derivative of both sides with respect to time to get dA/dt = 2s(ds/dt).

Puting in the values given, we get dA/dt = 2(5)(-1) = -10 m²/s. Therefore, the area of the square is decreasing at a rate of 10 square meters per second when the sides are 5 meters long.

b) To find the rate of change of the lengths of the diagonals, we can use the Pythagorean theorem. Let d be the length of the diagonal, then d² = s² + s² = 2s². Taking the derivative of both sides with respect to time, we get

2d(dd/dt) = 4s(ds/dt).

Puting in the values given, we have 2d(dd/dt) = 4(5)(-1), which simplifies to dd/dt = -10/sqrt(2) m/s.

Therefore, the lengths of the diagonals are decreasing at a rate of approximately 7.07 meters per second when the sides are 5 meters long.

Learn more about Pythagorean theorem.

brainly.com/question/14930619

#SPJ11

Answer:

[tex]405 \: {units}^{3} [/tex]

Step-by-step explanation:

Given:

A triangular prism

a (base area) = 45

h (height) = 9

Find: V (volume) - ?

[tex]v = a(base) \times h[/tex]

[tex]v = 45 \times 9 = 405[/tex]

Answer:

The banner is 10 and 2/3 feet long.

Step-by-step explanation:

8 x 1 and 1/3 = 10 and 2/3

The center of mass of the given system of point masses lying on the x-axis. m1 = 6, m2 = 3, m3 = 4 x1 = −5, x2 = 0, x3 = 3 is at  x = -1.38.

To find the center of mass, we'll use the formula:

Center of mass = (m1*x1 + m2*x2 + m3*x3) / (m1 + m2 + m3)

Given:
m1 = 6, m2 = 3, m3 = 4
x1 = -5, x2 = 0, x3 = 3

Step 1: Calculate the weighted sum of positions:
(m1*x1 + m2*x2 + m3*x3) = (6*(-5) + 3*(0) + 4*(3)) = (-30 + 0 + 12)

Step 2: Calculate the sum of masses:
(m1 + m2 + m3) = (6 + 3 + 4) = 13

Step 3: Divide the weighted sum of positions by the sum of masses:
Center of mass = (-30 + 0 + 12) / 13 = -18 / 13 ≈ -1.38

The center of mass of the given system of point masses lying on the x-axis is approximately at x = -1.38.

Learn more about center of mass : https://brainly.com/question/21759698

#SPJ11

To show that the series (−1)n − 1bn, where bn = 1 n if n is odd and bn = 1 n2 if n is even, is divergent, we can use the alternating series test.

First, we can note that when n is odd, bn = 1 n, which is a decreasing sequence that approaches 0 as n increases. Therefore, the alternating series (−1)n − 1bn converges by the alternating series test.

However, when n is even, bn = 1 n2, which is also a decreasing sequence that approaches 0 as n increases. But the absolute value of the terms in the series, |(−1)n − 1bn| = |(−1)n − 1(1/n2)|, does not approach 0 as n increases.

To see why, note that when n is even, the term (−1)n is always 1, while the term 1/n2 is always positive. Therefore, the terms in the series alternate in sign and do not decrease in absolute value.

As a result, the series (−1)n − 1bn is not absolutely convergent, and therefore, it is divergent by the alternating series test.

Learn more about : Divergency of a Series - https://brainly.com/question/31426742

#SPJ11

Using the binomial probability distribution, the probability of none of the 14 customers ordering a non-alcoholic beverage is approximately 0.000416 or 0.0416%.

We can solve this problem using the binomial probability distribution since we are interested in finding the probability of a specific number of successes (i.e., zero) in a fixed number of independent trials (i.e., 14 customers), where the probability of success (i.e., ordering a non-alcoholic beverage) is known and constant for each trial (i.e., 0.55).

The formula for the binomial probability distribution is:

P(X = k) = (n choose k) * p^k * (1 - p)^(n - k)

where:

P(X = k) is the probability of getting k successes in n trials

(n choose k) is the binomial coefficient, which represents the number of ways to choose k items from a set of n items, and is calculated as n! / (k! * (n - k)!)

p is the probability of success in each trial

(1 - p) is the probability of failure in each trial

Using this formula, we can calculate the probability of none of the 14 customers ordering a non-alcoholic beverage as follows:

P(X = 0) = (14 choose 0) * 0.55^0 * (1 - 0.55)^(14 - 0)

= 1 * 1 * 0.45^14

≈ 0.000416

Therefore, the probability that none of the 14 customers will order a non-alcoholic beverage is approximately 0.000416, or 0.0416% (rounded to four decimal places).

Learn more about binomial probability distribution:

https://brainly.com/question/31197941

#SPJ4

In order to simplify the difference quotient involving a rational function you must multiply both the numerator and denominator by the common denominator of the numerator over the same expression is True.

Multiply the denominator and the numerator with the sum of the denominators of the numerator across the same expression in order to simplify a variance quotient utilising a rational function.

A rational function is one that has a denominator other than zero and may be represented in the division of two polynomial functions. We need to combine the fractions that are in the numerator and denominator to simplify the rational function before computing the difference quotient.

We have to first determine the fractions' common denominator in the numerator. The denominator in the initial rational function is the same as this. We multiply the difference quotient's numerator and denominator once we get the common denominator.

By joining the fractions that have the same denominator, we can do this to simplify the numerator. From that, we can eliminate any shared factors between both denominators and numerator to obtain a more straightforward difference quotient.

We need to divide the numerator as well as the denominator with a common factor of the decimals in the numerator along the same expression in order to simplify the variance quotient using a rational function.

Learn more about rational here:

https://brainly.com/question/20850120

#SPJ4