How do I solve this question ​

How Do I Solve This Question

Answers

Answer 1

Answer: [tex]6/(x-7) +( -5)/(x-5)[/tex]

Step-by-step explanation:

Let

   [tex](x+5)/(x-7)(x-5) = A/(x-7) +B/(x-5)[/tex]

⇒[tex](x+5)/(x-7)(x-5)=( A(x-5) +B(x-7))/(x-7)(x-5)[/tex]

Comparing both the sides

[tex](x+5)= A(x-5)+B(x-7)\\x+5=Ax-5A+Bx-7B\\x+5= (A+B)x + (-5A-7B)\\[/tex]

Comparing both sides of the equation we get,

[tex]A+B= 1[/tex]   ....eq(1)

[tex]-5A-5B=5[/tex]   ..... eq(2)

solving eq(1) and eq(2),

we get B=-5 and A=6.

Hence the solution is [tex]6/(x-7) +( -5)/(x-5)[/tex]

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Related Questions

Write a coordinate rule for the dilation.

Answers

Answer: 584390

Step-by-step explanation: the r4u819

Find the average for the set of numbers 7, 6, 12, 5, 7, 6, 13. Average:​

Answers

Answer:

Add up all the numbers and divide the product of that by the numbers there are.

7+6+12+5+7+6+13 = 56

There are 7 numbers in these set of numbers hence we divide the product (56) by 7.

56/7 = 8

The answer is 8; The average of all these numbers is 8.

Step-by-step explanation:

How does knowing the x-intercepts and the vertex of a
function help you graph a quadratic function?

Answers

A graph of a quadratic function is a parabola, making an equation of a parabola with help of an x-intercept and vertex can be formed.

What is the graph?

The graph is a demonstration of curves that gives the relationship between the x and y-axis.

Here,
With the help of the vertex and the x-intercept, the equation of the parabola can be formed which helps to graph a quadratic function because the equation of the parabola resembles the quadratic function,

Thus,  a graph of a quadratic function is a parabola, making an equation of a parabola with help of an x-intercept and vertex can be formed.

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If the quotient is 0 , what is the dividend?

Answers

Answer: 0

Step-by-step explanation:

If the dividend and the divisor are the same, the quotient is always 1. If the dividend is the, then the quotient would always be 0. A division equation with 0 dividend and 0 divisor is not valid.

Answer: All real numbers

Step-by-step explanation: Anything that's being divided by 0, is always going to be 0. For example, 0/7 is always 0.

Find the value of n(AnB) if
n(A)=5 n(B)=7 and n(AUB)= 10

what is n(AnB)=?


PLEASE HELP

Answers

By using the concept of set operation, the result obtained is

[tex]n(A \cap B) = 2[/tex]

What is a set?

Set is a well defined collection of distinct objects. The members of a set are called elements of a set. Set can be empty as well as non empty.

Set can be finite as well as infinite.

The number of elements inside a set is known as cardinal number of the set

Operations on set are union, intersection, set difference and symmetric difference

Concept of set operation has been used here

n(A)=5 n(B)=7 and n(AUB)= 10

[tex]n(A \cap B) = n(A) + n(B) - n(A \cup B)[/tex]

[tex]n (A \cap B) = 5 + 7 -10\\n(A \cap B ) =2[/tex]

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It takes an older computer 3 times as long to send out a company's email as it does a newer computer. Working together, it takes the two computers 15 minutes to send out the email. How long will it take the older computer to send out the email on its own?

Answers

60 minutes will be taken by the older computer to send out the email on its own.

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

one computer takes x minutes and the other takes 3x minutes

in 1 minute, they send (1/x) and (1/3x) of the total message

together, (15/x)+(15/3x)=1, the full message

multiply by 3x to clear fractions

45+15=3x

60=3x

Divide both sides by 3

20=x

So for older computer  60 minutes  it take to send out the email on its own.

Hence, 60 minutes will be taken by the older computer to send out the email on its own.

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Find the ordered pairs corresponding to the x- and y-intercepts of the graph of the equation.
6x + 12y = 24

Answers

Answer:

6x=24-12y

x=24-12y/6

x=4-12y

NO LINKS!! Explain the process of constructing a 95% confidence interval to test a null hypothesis and what a 95% confidence interval represents. (Use either proportions or means).​

Answers

At 95% confidence, the z critical value is roughly z = 1.96

You would use a reference table or calculator to determine this value. Unfortunately it's not something that can be easily/quickly found by hand.

If we're trying to estimate the population mean (mu), then we'll use this margin of error formula

E = z*sigma/sqrt(n)

Or if we want to estimate the population proportion (p), then we use this formula

E = z*sqrt(phat*(1-phat)/n)

The confidence interval then spans from (pointEstimate)-E to (pointEstimate)+E. Where "pointEstimate" represents either xbar or phat depending on the context. Other point estimates are possible. We're focusing on these two for now.

xbar estimates mu

phat estimates p

--------------------------------

An example problem:

A manager at a soda bottling plant wants to know if the contents of the cans are 20 fluid ounces (fl oz) or not. Through past observations, the manager has noted the population standard deviation (sigma) is 1.72 fl oz.

The manager gathers a random sample of 50 cans to test their contents. They find the sample mean is 18 fl oz. Conduct a hypothesis test using a confidence interval at 95% confidence to see if the cans really do have 20 fl oz of drink in them or not.

--------------------------------

Solution:

Null Hypothesis: mu = 20

Alternate Hypothesis: mu ≠ 20

This is a two-tailed test.

E = margin of error

E = z*sigma/sqrt(n)

E = 1.96*1.72/sqrt(50)

E = 0.47676

L = lower boundary of confidence interval

L = xbar - E

L = 18 - 0.47676

L = 17.52324

L = 17.52

U = upper boundary of confidence interval

U = xbar + E

U = 18 + 0.47676

U = 18.47676

U = 18.48

The 95% confidence interval is approximately (17.52, 18.48)

This is equivalent to writing 17.52 < mu < 18.48 in which we are 95% confidence in saying mu is between those endpoints.

But wait, the hypothesized mu = 20 is not in the interval 17.52 < mu < 18.48, which indicates we must reject the null hypothesis and accept the alternate hypothesis.  

The soda cans do not have 20 fl oz of drink. It appears they have slightly less than 20 fl oz.

Use the diagram to complete the statement.

Answers

The value of the side CB in the right angled triangle is found as 4√2 units.

Describe the Pythagorean theorem?The Pythagoras theorem, commonly known as the Pythagorean theorem, says that if a triangle has a right angle (90 degrees), the square of the hypotenuse equals equal to the sum of a squares of the opposite two sides.It describes the connection between the three sides of such a right-angled triangle.

For the given question,

The diagram is given;

AB = 7 units.

AG = 3 units.

GB = 7 - 3 = 4 units.

GC = 4 units.

In right angled triangle GCB, apply Pythagorean theorem.

CB² = GB² + GC²

CB² = 4² + 4²

CB² = 2(4)²

Taking square root both side.

CB = 4√2

Thus, the value of the side CB in the right angled triangle is found as 4√2 units.

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let o be the point of intersection for the diagnols of quadrilateral abcd prove that abcd could be a trapezoid (that is if it has one sides parallel) is Aaod = Aboc

Answers

From the given proof below, we have been able to show that quadrilateral ABCD is a Trapezoid.

How to identify a Trapezoid?

A trapezoid is also called a trapezium and it is characterized by four straight sides and one set of parallel sides. The parallel sides are referred to as the base, while the non-parallel sides are referred to as the legs.

We are told that;

O is the point of intersection for the diagonals of quadrilateral ABCD;

where;

AO/BO = CO/DO

This can also be expressed as;

AO/CO = BO/DO

Thus, if we create line OE to be parallel to DC which is OE || DC. Then it means that point E lies on BC.

Using the Basic Proportionality Theory, in ΔBDC, we can say that;

BO/OD = BE/EC ............................1

We are also given that:

AO/CO = BO/DO   ..........................2

Thus, from Equations 1 and 2, we have;

AO/CO = BE/EC

Using the converse form of the Basic Proportionality Theorem, we have;

OE || AB

Therefore, AB || OE || DC.

Therefore we can conclude that ABCD is a Trapezoid.

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Which graph represents the function f(x) = –|x + 3|?

Answers

Answer:

The answer would be A. (Not sure if its A B C or D question but I will have picture below)

Step-by-step explanation:

Hope this helps you! :))

State whether the following variables have a positive correlation, negative correlation, or no correlation.

3.)

(a.)Height of a person and how often he or she attends religious services. __________________________________

(b.)Average property tax in a school district and salary of teachers __________________________

(c.)Weight of a person and shoe size. ____________________________

Answers

The types of correlation seen between positive correlation, negative correlation, or no correlation, in the variables is:

a. Height of a person and how often he or she attends religious services. - No correlation (b.)Average property tax in a school district and salary of teachers - Positive correlation (c.)Weight of a person and shoe size. - Positive correlation

What is the correlation between property taxes and teacher salaries?

One of the main sources of funding for school districts is the property tax charged. This means that increased property taxes will lead to more money being available for teacher salaries which might then increase. There is therefore a positive correlation between the two.

The same is true for the weight of a person and shoe size. This is because the heavier a person is, the larger their shoe size according to research.

There is however no correlation between the height of a person and their attendance of religious services.

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Use the product-to-sum identities to rewrite the following expression as a sum or difference.

2sin(2x)sin(2x)

Answers

The sum form of the trigonometric function 2 · sin 2x · sin 2x by product-to-sum formula is 1 - cos 4x.

How to transform a product of trigonometric functions into a sum of trigonometric functions

Herein we find the definition of a trigonometric function defined as a product of trigonometric function, this can be transformed into a sum of trigonometric functions by means of the following product-to-sum formula:

sin α · sin β = [cos (α - β) - cos (α + β)] / 2

First, write the trigonometric function defined in the statement:

2 · sin 2x · sin 2x

Second, use the product-to-sum formula by considering α = β = 2 · x:

2 · [[cos (2x - 2x) - cos (2x + 2x)] / 2]

cos 0 - cos 4x

1 - cos 4x

Third, write the resulting expression:

2 · sin 2x · sin 2x = 1 - cos 4x

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Last Friday, Kira and Marcy got dinner at Seaside Sushi restaurant. Kira ordered 2 pieces of tuna and 5 pieces of crab. Marcy ordered 3 pieces of tuna and 6 pieces of crab. Did Kira and Marcy order the same ratio of tuna pieces to crab pieces?

Answers

Answer:

no

Step-by-step explanation:

because Kira ordered 5 pieces of crab while Marcy has ordered 6 pieces of crab

Alma ran a marathon. The graph shows the distance she ran during the marathon. Use the drop-down menus to complete the statements based on the graph.

Answers

From the proportional relationship graphed, it is found that:

The labeled point means that in 2 hours she ran 16 miles.In 1 hour, Alma ran 8 miles.Her distance changed at a unit rate of 8 miles per hour, so Alma's speed was of 8 miles per hour.If Alma ran faster, the slope of the graph would be greater.

What is a proportional relationship?

A proportional relationship is a special case of a linear function, with slope represented by the constant of proportionality of k and intercept of 0, meaning that the relationship passes through the origin.

When the two variables x and y are direct proportional, the output variable y is obtained multiplying the input variable x by the constant of proportionality k, according to the rule presented follows:

y = kx.

From point (2,16) in this problem, the constant is given as follows:

k = 16/2 = 8.

Hence the equation is:

y = 8x.

Meaning that her rate is of:

8 miles per hour.

If she ran faster, the slope = constant would increase, as it represents the velocity.

Missing Information

The problem is given by the image at the end of the answer.

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Graph g(x) = -2x - 3.

Answers

The graph of the function g(x) = -2x - 3 is attached below.

Graph:

Graph refers a diagram that represents the variation of a variable in comparison with that of one or more other variables.

Given,

Here we have the function g(x) = -2x - 3

Now, we need to plot the graph of the function.

In order to plot the graph for the given function,

First we have to take some sample values for the given function and then apply it on the given function to generate the table to plot the graph.

Now, we have to take -2, -1, 0, 1, 2 are the samples value for x.

Then we get the value of the function as,

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

x = -1 => g(-1) = -2(-1) - 3 = 2 - 3 = -1

x = 0 => g(0) = -2(0) - 3 = 0 - 3 = -3

x = 1 => g(-2) = -2(1) - 3 = -2 - 3 = -5

x = 2 => g(2) = -2(2) - 3 = -4 - 3 = -7

Now, we can get the table like the below

Now, we have to plot the graph through this table, then we get the graph like the following.

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what is -3 > -2x + 7 ?

Answers

To solve this, we begin by subtracting 7 from both sides:

-3 - 7 = -10
7 - 7 = 0

Our expression becomes:

-10 > -2x

Divide both sides by the coefficient:

5 > x

Now to switch signs:

5 < x

Our expression then becomes x > 5.

81 to the 5th power = 3x
x=?

Answers

The value of x according to the given equation as in the task content is; 3¹⁹.

What is the value of x according to the given expression?

It follows from the task content that the value of x is to be determined from the equation given in the task content.

Therefore, since the equation given in the task content is;

(81)⁵ = 3x

(3⁴)⁵ = 3x

3²⁰ = 3x

Therefore, the value of x can be evaluated as;

x = 3²⁰/3

x = 3¹⁹.

Ultimately, the value of x from the given equation is; 3¹⁹.

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Evaluate the expression when x =-4

Answers

Answer:

22. 2 (-4) = -8

23. (2(-4) + 11) = (-8 + 11) = 3

24. -3 (5 (-4) = -3 (-20) = 60

Answer:

  22.  8

  23.  3

  24.  -60

Step-by-step explanation:

You want the values of the given absolute value expressions when x = -4.

23. 2|x|

The absolute value function changes the sign to positive, if it isn't already.

  2|-4| = 2(4) = 8

24. |2x +11|

  |2(-4) +11| = |-8 +11| = |3| = 3

25. -3|5x|

  -3|5(-4)| = -3|-20| = -3(20) = -60

Joey has 80 pens and 30 of them are red. What percent are red?

Answers

Answer:

Step-by-step explanation:

a- 10 units
b-12.0 units
c-11.4 units
d-13.4 units

Answers

Using the distance formula, the distance between the point is √130.

In the given question we have to find the distance between given point in the graph.

From the graph the given points are (4,4) and (-3, -5).

The formula for the distance between point is

Distance = √{x(2)-x(1)}^2+{y(2)-y(1)}^2

From the given points; x(1)=4, y(1)=4, x(2)= -3 and y(2)= -5.

Now putting the value:

Distance = √{-3-4}^2+{-5-4}^2

Distance = √{-7}^2+{-9}^2

Distance = √49+81

Distance = √130

The distance between the point is √130.

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Estimate 17.140 - 03.179 by first rounding each number to the nearest tenth.

Answers

Answer: 13.9

Step-by-step explanation:

17.140 rounded to the nearest tenth is 17.1

03.179 rounded to the nearest tenth is 3.2

17.1 - 3.2 = 13.9


The sum of two numbers is 130 and their difference is 34 Let x be the first number and y be the second
number Set up a system of equations and use the elimination method to find the numbers. You must
show your work
10. A theater sold 800 tickets for Friday night's performance, One child ticket costs $4.50 and one adult
ticket costs $6.00. The total amount collected was $4.500. How many of each type of ticket were sold?
11. The postal service offers flat-rate shipping for priority mail in special boxes. Malia shipped 4 small
boxes and 2 medium boxes, which cost her $54 to ship. Meanwhile, Stephen shipped 1 small box and
2 medium boxes, and paid $33. How much does it cost to ship these two sizes of boxes?

Answers

Step-by-step explanation:

9)=

By the question:-

x + y = 130-i

x - y = 34-ii

Now,

Add i and ii,

x + y + x -y = 164

or, 2x = 164

so, x = 82

Now,

x -y = 34

or, 82 - y = 34

so, y = 48

The numbers are 82 and 48.

10) =

Let adults ticket be x and childs ticket be y.

x + y = 800

x = 800 - y - eqn i

4.5x + 6y = 4500

Substituting x's value from eqn i,

4.5(800-y) + 6y = 4500

or, 3600 - 4.5y + 6y = 4500

or, 1.5y = 900

so, y = 600

Now,

x + y = 800

or, x + 600 = 800

so, x = 200

Hence, 600 adult tickets were sold and 200 child tickets were sold.

11)=

Let cost of one small box be x and one medium box be y.

So,

4x + 2y = 54-eqn i

x + 2y = 33-eqn ii

subtracting eqn i from ii,

x + 2y - 4x - 2y = - 21

or, -3x = - 21

so, x = 7

Now,

x + 2y = 33

or, 2y = 33 - 7

or, y = 26/2

so, y = 13

So, cost of one small box is $7 and medium box is $13.

1 A father is three times as old as his daughter. If the father is 31 years older than his daughter, what are their ages?

Answers

father age 46.5

daughter age 15.5

46.5 - 15.5 = 31

add w and the sum of 9 and 4

Answers

The addition of w, 9 and 4 is (w+13).

According to the question,

We have the following information:

We need to add w, 9 and 4.

We already know that a variable can only be added or subtracted from the terms having the same variables. For example, 8x can only be added to 5x but not 5y.

So, in this case, w is the variable and it can not be added to any other term because the other two are whole numbers.

Now, the whole numbers can be easily added.

So, we have the following expression:

w+9+4

w+13

Hence, the addition of w, 9 and 4 is (w+13).

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Luis has $80 in his checking account. He makes a deposit of $100, and the write a check for $40

Answers

Answer: 140 is the answer

Step-by-step explanation: Luis adds 100 to his account  so which makes the account balance 180 and then writes a check so he takes 40 out of his account which means he has 140 left in his account

PLEASE HELP EXTRA POINTS select all true statements

Answers

Answer: C

PLEASE GIVE BRAINLIEST THANK YOU VERY MUCH!!

Elijah has red and yellow napkins. He must set out napkins for 4 people. What are different ways to make groups of 4?

Answers

The different ways to make groups of 4 based on the napkins given is 6 ways.

What is combination?

Combinations are also referred to as selections. Combinations implies the selection of things from a given set of things. In this case, we intend to select the objects. Thus can be illustrated by nCr

Combination formula

nCr = n! / ((n – r)! r!)

n = the number of items.

r = how many items are taken at a time

In this case, Elijah has red and yellow napkins. He must set out napkins for 4 people. This will be:

= n! / ((n – r)! r!)

= 4! / (4 - 2)! 2!

= 4! / 2!2!

= 4 × 3/2

= 6

Therefore, there are 6 ways.

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Like terms 8x-12-10x-8

Answers

8x-12-10x-8 => -2x-12-8 => -2x-20

Write a quadratic function f whose zeros are 7 and -5.

Answers

Answer:

  f(x) = x² -2x -35

Step-by-step explanation:

You want a quadratic function that has zeros 7 and -5.

Factors

Each zero (p) gives rise to a factor (x-p). The zeros 7 and -5 mean the quadratic has factors (x-7) and (x-(-5)).

  f(x) = (x -7)(x +5)

  f(x) = x² -2x -35

__

Additional comment

You may notice that the coefficient of the linear term is the opposite of the sum of the zeros. The constant term is the product of the zeros. Knowing this, we can write the quadratic without any concern for the factors.

  sum: 7-5 = 2

  product: (7)(-5) = -35

  quadratic: f(x) = x² -2x -35

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