please help me asap!

Please Help Me Asap!

Answers

Answer 1

Answer:

[tex]\frac{7x + 7}{(x-3)(x+4)}[/tex]

Excluded values are 3 and -4

Step-by-step explanation:

To simplify the expression multiply to create a common denominator.

Multiply the first fraction by (x-3) and the second fraction by (x+4).

[tex]\frac{3}{x+4} + \frac{4}{x-3}\\\\\frac{3(x-3)}{(x+4)(x-3)} + \frac{4(x+4)}{(x-3)(x+4)}[/tex]

[tex]\frac{3(x-3)}{(x+4)(x-3)} + \frac{4(x+4)}{(x-3)(x+4)} \\\\\frac{3(x-3) + 4(x+4)}{(x-3)(x+4)}\\\\\frac{3x - 9 + 4x + 16}{(x-3)(x+4)}\\\\\frac{7x + 7}{(x-3)(x+4)}[/tex]

Excluded values are values which make the denominator 0. This means (x-3)(x+4) cannot be 0. This means x cannot be 3 or -4. These are excluded values.


Related Questions

A regular octagon rotates 360° about its center. How many times does the image of the octagon coincide with the preimage during the rotation?

Answers

Answer: 8 times

Step-by-step explanation:

By definition, the sum of the exterior angles of a polygon is 360 degrees.

Therefore, each exterior angle of the polygon is:

[tex]\frac{360\°}{n}[/tex]

Where n is the number of sides of the polygon.

 The lengths of the sides of  a regular octagon are equal and the measures of the internal angles are equal too.

The sum of the exterior angles of a polygon is 360 degrees and it has 8 sides, therefore, the measure of each exterior angle is:

[tex]=\frac{360\°}{8}=45\°[/tex]

You know that the regular octagon rotates 360° about its center.

Therefore, keeping all the above on mind, you have that the number of times (which you can call x) the image of the octagon coincide with the preimage during the rotation is:

[tex]x=\frac{360\°}{45\°}=8\ times[/tex]

Point
Which of the following describes a point?

A. one dimensional
B. zero dimensional
C. three dimensional
D. two dimensional​

Answers

Two dimensional: it cannot be one or zero dimensional and a three dimensional point is called a vector

(B) Zero-dimensional describes a point.

What is the point?A point has no length, area, or volume and is, therefore, zero-dimensional.Two-dimensional:A flat plane figure or a shape with two dimensions—length and width—are both considered two-dimensional shapes in geometry. Shapes that are two-dimensional, or 2-D, have only two faces and no thickness. The proportions of a figure can be used to categorize it.Two-dimensional shapes include the triangle, square, rectangle, pentagon, and circle.Three-dimensional:Three values are needed to locate an element in three-dimensional space, which is a geometric setting. This is how the term "dimension" is generally used. A tuple of n numbers in mathematics is equivalent to the Cartesian coordinates of a point in an n-dimensional Euclidean space.

Therefore, the correct answer is (B) Zero dimensional because it cannot be one or zero dimensions, since a vector is a three-dimensional point.

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Find the center and radius of the circle with the equation. Please show work!

Answers

Answer:

(1, -2)

Step-by-step explanation:

The equation of a circle:

[tex](x-h)^2+(y-k)^2=r^2[/tex]

(h, k) - center

r - radius

We have:

[tex]x^2-2x+y^2+4y=4\qquad\text{add}\ 1^2\ \text{and}\ 2^2\ \text{to both sides}\\\\x^2-2x+1^2+y^2-2(-2)(y)+2^2=2(1^2)(2^2)\qquad\text{use}\ (a\pm b)^2=a^2\pm2ab+b^2\\\\(x-1)^2+(y-(-2))^2=8\\\\h=1,\ k=-2\to(1,\ -2)[/tex]

What is the experimental probability that the next customer buys a red notebook 150 pages.
red green blue yellow
100 pg-55 37 26 12
150 pg-60 40 57 27
200 pg-23 19 21 19

Answers

Answer:

5/33

Step-by-step explanation:

The table with proper formatting is attached in the image below.

We have to calculate the experimental probability that the next customer buys a red notebook with 150 pages.

Total number of customers in the experiment = Sum of all the values in the given table = 396

Number of customers who bought red notebook with 150 pages = 60

Experimental probability = [tex]\frac{\text{Number of favorable outcomes}}{\text{Number of total outcomes}}[/tex]

Number of favorable outcomes in the experiment were 60 and the total outcomes in the experiment were 396.

Therefore, the probability that next student buys a red notebook with 150 pages will be 60/396 = 5/33

The experimental probability that the next customer buys a red notebook with 150 pages is approximately 0.326 or about 32.6%, calculated by dividing 60 red 150-page notebooks sold by the total 184 notebooks sold of that size.

The student is asking about the experimental probability that the next customer will buy a red notebook with 150 pages. To determine this probability, one must look at past data to find the frequency with which customers have purchased red notebooks of 150 pages and divide this by the total number of notebook purchases of all colors with 150 pages.

Based on the data provided:

Number of red 150-page notebooks sold: 60Total number of 150-page notebooks sold: 60 (red) + 40 (green) + 57 (blue) + 27 (yellow) = 184

The experimental probability is therefore calculated as follows:

P(red 150-page notebook) = Number of red 150-page notebooks sold / Total number of 150-page notebooks sold

P(red 150-page notebook) = 60 / 184

P(red 150-page notebook) = 0.326 or about 32.6%

11
6.186 × 10 in standard form

11 is the exponent btw

Answers

Answer:

618 600 000 000

Step-by-step explanation:

To convert the scientific notation of a large number to a decimal number, move the decimal point as many places to the right as indicated by the exponent of 10.

Use zeros for placeholders as needed.

6.186 × 10¹¹     Move the decimal point eleven places to the right

6.186 × 10¹¹ = 618 600 000 000.

We had to insert eight zeros as placeholders.

6.186 × 10¹¹ = 618 600 000 000

If 3 is added to the absolute value of the product of a number and −9, the result is 4.

Answers

3+|n•-9|=4

|n•-9|=1

n•-9=1 Or n•-9= -1

n= -1/9 n=1/9

n=±1/9

Answer:

The value of x is ± (1/9).

Step-by-step explanation:

Consider the provided statement.

If 3 is added to the absolute value of the product of a number and −9,

Now convert this into mathematical form.

Let the number is x then the product of number and -9 is -9x.

For absolute value we use the mode. Thus the required expression is:

3 + |-9x|

Now it is given that the result is equal to 4. Thus,

3 + |-9x| = 4

Solve the above equation as shown:

|-9x| = 4-3

|-9x| = 1

Now remove the mode by introducing ± sign as shown:

-9x = ± 1

-9x = 1 or -9x = -1

x = -1/9 or x = 1/9

Hence, the value of x is ± (1/9).

katie bikes at an average speed of 12 mph.

which speeds are the same as katies average biking speed

choose all answers that are correct

63,360 ft/h
26,400 ft/min
0.2 mi/min
0.5 mi/day

Answers

12 mph = 12 miles / 1 hour

= 12 miles / 60 minutes

= 12/60 miles/minute

=1/5 miles / minute

=0.2 miles/ minute

so ans is option c

Answer:

A and C are your answers.

Step-by-step explanation:

A because there is 5,280 ft in a mile.  and if you multiply that by 12 you will get 63,360. It is also C because in 60 minutes you will travel 12 miles if you are going 0.2 miles a minute. Hope this Helps!

What is the additive inverse of the polynomial? -6x^3+4x^2-4x

Answers

Answer:

The additive inverse is equal to [tex]6x^{3}-4x^{2}+4x[/tex]

Step-by-step explanation:

we know that

Two polynomials area additive inverses if they are opposites of each other

we have

[tex]-6x^{3}+4x^{2}-4x[/tex]

To find the additive inverse multiply the polynomial by -1

[tex]-1*(-6x^{3}+4x^{2}-4x)=6x^{3}-4x^{2}+4x[/tex]

if p = the game system's original price in dollars, which algebraic expression represents the reduced price?
A. 99 + p
B. P - 99
c. 99 - p
d. 99p

Answers

Answer: The answer is B. p-99

Step-by-step explanation: The price goes first and then since it’s reducing you put minus 99 since it’s decreasing the price of the game system. Hope this was helpful y’all have a blessed day

Wite an expression in simplest form to represent the area of the shaded region

Answers

Distribute the 4x to the 3x+2 to get 12x^2+8x

Multiply 2x and 3x to get 6x^2

then combine like terms to get your final answer of 6x^2+8x

The expression in simplest form which represent the area of the shaded region is,

[tex]6x^2+8x[/tex]

What is area of rectangle?

Area of rectangle is the product of the length of the rectangle and the width of the rectangle. It can be given as,

[tex]A=a\times b[/tex]

Here, [tex]a[/tex]is the length rectangle and [tex]b[/tex] is the width of the rectangle.

Given information-

The length of the inner rectangle is 2x.

The width of the inner rectangle is 3x.

The length of the outer rectangle is 3x+2.

The width of the outer rectangle is 4x.

As the area of the rectangle is the product of the length of the rectangle and the width of the rectangle. Thus, the area of inner rectangle is,

[tex]A_i=2x\times3x\\A_i=6x^2[/tex]

The area of outer rectangle is,

[tex]A_o=4x\times(3x+2)\\A_o=12x^2+8x[/tex]

The area of the shaded region is the difference of area of outer rectangle and the area of inner rectangle. Thus the area of the shaded region is,

[tex]A=A_o-A_i[/tex]

Put the values as,

[tex]A=12x^2+8x-6x^2\\A=6x^2+8x[/tex]

Hence, The expression in simplest form which represent the area of the shaded region is,

[tex]6x^2+8x[/tex]

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The set shows the absolute values of a set of rational numbers in increasing order.

{0.4, 1, 2
1
2
, 4, 5.3, 7, 9.8}

Can you determine the order of the rational numbers themselves? Explain why.

A) Yes, it is possible to determine the order of the rational numbers because we know the size of the rational numbers.
B) No, it is not possible to determine the order of the rational numbers because we only know the signs of the rational numbers.
C) No, it is not possible to determine the order of the rational numbers because we do not know the signs of the rational numbers.
D) Yes, it is possible to determine the order of the rational numbers because we know that all of the rational numbers are positive.

Answers

The correct statement regarding whether we can determine the order of the rational numbers:

C) No, it is not possible to determine the order of the rational numbers because we do not know the signs of the rational numbers.

What is the absolute value of a number?

The absolute value of a number is the number without the signal, for example:

|-2| = |2| = 2.

In this problem, we are only given the absolute value of the numbers, we do not know the signs of the numbers, hence we cannot order them.

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No, we cannot determine the order of the set of rational numbers because we only know their absolute values, not their signs. The answer is option C.

The question is asking whether we can determine the order of a set of rational numbers given their absolute values. The answer to this is option C: No, it is not possible to determine the order of the rational numbers because we do not know the signs of the rational numbers. Knowing only the absolute values does not give us any information about whether the original rational numbers were positive or negative. Absolute value only indicates the magnitude of a number, not its sign, therefore without this information, the original sequence of the rational numbers cannot be determined.

Solve the system of equations below by graphing both equations with a pencil and paper. What is the solution?

Answers

Answer:

B    (2,1)

Step-by-step explanation:

Answer: B. (2,1)

Step-by-step explanation:

The given system of equation :

[tex]y=2x-3...........................(1)\\\\y=-2x+5.............................(2)[/tex]

Adding equation (1) and (2), we get

[tex]2y=-3+5\\\\\Rightarrow\ 2y=2\\\\\Rightarrow\ y=1[/tex]

Substitute the value of y in the first equation , we get

[tex]1=2x-3\\\\\Rightarrow\ 2x=1+3\\\\\Rightarrow\ 2x=4\\\\\Rightarrow\ x=2[/tex]

Therefore, the solution to the given system of equations = (2,1)

A number cube 1 through 6. Ian rows 600 * about how many times should he expect to roll an even number

Answers

300 rolls.



3/6 of the numbers are even on a number cube.

Multiply the numerator and denominator each by 100 to make the denominator equal to 600.

3/6 = 300/600

So, 300 out of the 600 rolls are statistically expected to be even numbers.



Please consider marking this answer as Brainliest to help me advance,

What is 25 multiplied by 3 as a numerical expression?​

Answers

Final answer:

[tex]\[ 25 \times 3 = 75 \][/tex]

Explanation:

To express the multiplication of 25 and 3 as a numerical expression, we use the multiplication symbol "×" to indicate the operation. Therefore, the numerical expression for the product of 25 and 3 is [tex]\( 25 \times 3 \).[/tex]

To calculate this, we simply multiply 25 by 3:

[tex]\[ 25 \times 3 = 75 \][/tex]

So, the result of the numerical expression[tex]\( 25 \times 3 \)[/tex] is 75.

Which show ways to make 2,067?

Answers

2066+1-2000+67

Step-by-step explanation:

The number 2067 in words is represented as Two Thousand and Sixty-Seven. For instance, the cost of a study lamp is Rs. 2067, then you can say, “The cost of a study lamp is Rupees Two Thousand and Sixty-Seven”. 2067 is a cardinal number. It is easy to convert any number into words using a place value chart. Hence, it is essential to use a place value chart to represent numerical names. Here, we will learn how to convert 2067 into words

PLEASE HELP ASAP
Use a system of equations to solve each problem.

1) At an “all you can eat” spaghetti dinner, the volunteers served 210 people and raised $935. Adult meals cost $6 and child meals cost $3.50.
a) Write an equation for the total amount of money raised from the adult and child dinners served.

b) Write an equation for the total number of adult and children dinners served.

c) Solve the system of equations to find the number of adult and number of child dinners served.

Answers

Answer:

its b

Step-by-step explanation: Because

210 divided by 6= 35

and

210 divided by 3.50= 60

so the answer would be:

C) solve the system of equations to find the number of child and adult dinners served

Help Plz

You park in a garage 3 floors
below ground level. Then you get in the
elevator and go up 12 floors. Write an
addition expression to represent this
situation. Then find the sum.

Answers

Answer:

it's easy if you're 3 below ground level then it would be -3 and now you just add 12

Step-by-step explanation:

-3+12=9

Answer: The was 6.

Step-by-step explanation: I got the question wrong.

HELP NOW!

Katie baked 215 cookies that she wants to divide equally among her 32 classmates. How many whole cookies will each student get, and how many will be leftover?
A) 5, r5
B) 6, r10
C) 6, r23
D) 7, r0

Answers

Answer:

Step-by-step explanation:either C or

B

Each person gets 6 cookies and 7 will be leftover

Can someone please help me with this problem? I’m an 8th grader and this is algebra if you could help me at least set it up I can take over from there. Thank you sooo much!

Answers

Answer:

larger number=19

smaller number=7

Step-by-step explanation:

x=2y+5

x-y=12

(2y+5)-y=12

y+5=12

y=7

x=2(7)+5

x=14+5

x=19

Answer:

b=7,A=19

Step-by-step explanation:

A=2b+5

a-b=12

2) make both equations equal to 'a' by adding b on both sides so

a=2b+5,a=b+12

since both equations are equal to a, they are equal(is a=b then b=c property)

2b+5=b+12

this is a start, you can finish by combining the like terms and moving them to one side to get b=7 and a=19

HOPE THIS HELPS!!!

What is the value of x in the simplest radical form?

Answers

Answer:

x = √(12² + 35²) = √(144 + 1,225) = √1,369

= 37

How do you find rate of change using a graph?

Answers

U find the rate of change by using the equation:

Y^2-y^1

————-

X^2-x^1

You can use the formula to find the rate of change:

Rate of change = (y₂ - y₁) / (x₂ - x₁)

To find the rate of change using a graph, you need to determine the slope of the graphed line or curve at a specific point. The slope represents the rate at which the dependent variable changes with respect to the independent variable.

Here's a step-by-step process to find the rate of change using a graph:

a) Identify two points on the graph that you want to calculate the rate of change between.

These points should have known coordinates (x₁, y₁) and (x₂, y₂).

b) Calculate the difference in the dependent variable (y) between the two points: Δy = y₂ - y₁.

c) Calculate the difference in the independent variable (x) between the two points: Δx = x₂ - x₁.

d) Divide the difference in the dependent variable by the difference in the independent variable: Δy/Δx.

e) The result of this calculation represents the average rate of change between the two points. If you want to find the instantaneous rate of change at a specific point, you can make the interval between the two points infinitesimally small by moving the points closer together. In this case, the rate of change will be represented by the slope of the tangent line to the graph at that point.

By following these steps, you can determine the rate of change at a particular point on a graph.

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If z = 15 cm and x = 17 cm, what is the length of y?

Answers

Answer:

the length of y= 19 because in every letter you have been adding 2.

The correct answer is:

8 cm.

angle a and angle C or protocol angles if M angle a equals 3x + 7 degrees and M angle C equals x + 53° what is the value of x ​

Answers

3x+7=x+53

Subtract x from both sides

2x+7=53

Subtract 7 from both sides

2x=46

X=23

Help Evaluate. 7•(-7+15)

Answers

Answer:

56

Step-by-step explanation:

-7+15 is 8 cause it's negative 7 you have to tecnaclly subtract 7 from 15 then you would multply it by 7

Jamilla solved the inequality |x+b| 2 and graphed the solution as shown below.
Picture included

Answers

Answer: Option C

Step-by-step explanation:

The solution from the number line is  (-∞,-3]∪[1,∞)

Given equation :

[tex]|x+b| ---2[/tex]

[tex](x+b) ----2[/tex] or

[tex]-(x+b)---2[/tex]

Putting b=1 and the inequality ≥ gives the required solution.

[tex]|x+1|\geq 2[/tex]

=> [tex](x+1)\geq 2[/tex] or [tex]-(x+1)\geq 2[/tex]

=> [tex]x\leq -3[/tex] or [tex]x\geq 1[/tex]

The inequality solved to give a solution of x ≥ 1 and x ≤ -3 is |x + 1| ≥ 2. b = 1,

What is an inequality?

An inequality is an expression that shows the non equal comparison between two or more variables and numbers.

From the diagram, the solution to the inequality is x ≥ 1 and x ≤ -3

Hence:

|x + b| ≥ 2

x + b ≥ 2 or -(x + b) ≥ 2

x ≥ 2 - b or x ≤ -2 - b

2 - b = 1 and -2 - b = -3

b = 1

Hence |x + 1| ≥ 2

The inequality solved to give a solution of x ≥ 1 and x ≤ -3 is |x + 1| ≥ 2. b = 1,

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it takes 10 workers 5 days to complete a road repair when working 2 hours a day. working at the same pax’s how many days will it take 2 people working 5 hours a day to finish it?

Answers

It takes 10 workers 5 days to complete a road repair when working 2 hours a day.

So, this becomes : [tex]2*5*10=100[/tex] man hours required to finish the work.

Given is, if 2 people work for 5 hours a day, then let the number of days to finish the road be = d

So, total man hours = [tex]2*5*d=10d[/tex]

Now, [tex]10d=100[/tex] or [tex]d=10[/tex]

Hence, it will take 10 days for 2 people working 5 hours daily, to complete the work.

It will take 10 days for 2 people working 5 hours a day to finish the road repair.

Further Explanation:

From the question;

10 workers can finish road repair in 5 days working 2 hours a day

We need to find;

The number of days required to complete the road repair by 2 workers  working 5 hours a day.

Assuming the number of days required to complete the work is x

Number of working hours of 10 people is 10 hours ( 2 hours a day for 5 days)

Number of working hours of 2 people is 5x hours (5 hours a day for x days)

Note that; the number of workers or people is inversely related to the number of working hours.

Therefore;

Product of number of people and working hours or work done is a constant

Thus;

10 × 10 =  2 × 5x

100 = 10 x

x = 10

Therefore;

2 workers working 5 hours a day will require 10 days to complete the road repair.

Keywords: rate of work, number of hours, number of days required to complete the job.

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Level: Middle school

Subject: Mathematics

Topic: Rate of work

Frank and 3 of his friends ate dinner at a restaurant. The bill came to $98.75 before tax. The tax rate is 6.5% and they decided to leave 20% tip. If they share the bill equally, how much will each person pay?

Answers

Answer:

Either $41.64 per person or $42.07, depending on if they tip pre or post sales tax.

Step-by-step explanation:

b=98.75

x=6.5/100=0.065

p=20/100=0.2

If tipping on taxed subtotal:

T=[(bx+b)p+(bx+b)]/3

T=[(98.75(0.065)+98.75)(0.2)+98.75(0.065)+98.75]/3

T=42.07 per person

If tipping on untaxed subtotal:

T=(bx+bp+b)/3

T=(98.75(0.065)+98.75(0.2)+98.75)/3

T=41.64 per person

A rectangular patio is 9 yd 2ft long and 5 yd 2ft wide. What is the perimeter of the patio in yards?

A. 54 7/9
B. 15 1/3
C. 164 1/3
D. 30 2/3

Answers

Answer:

D. 30 2/3

Step-by-step explanation:

What you want to do is convert everything for feet, ill explain why later. 1 yard is 3 feet long. SO 9 x 3 = 27. 27 + 2 = 29 feet. The patio is 29 feet long.

5 x 3 = 15. 15 + 2 = 17 feet. So the patio is 29 x 17. To find the perimeter, you want to do: 29 + 29 + 17 + 17 = 92 feet. Convert it back to yards by doing 92/3. That equals 30.6667. In other words, 30 2/3. The answer is D. Hope this helps!

Answer:

D. 30 2/3

Step-by-step explanation:

The problem is asking for the perimeter in yards, that means we have to transform feet to yards. Also, remember that the perimeter refers to the sum of all sides.

We know that 1 yard represent 3 feet. So:

[tex]2ft\frac{1yd}{3ft}=\frac{2}{3}yd[/tex]

That is, 2 feet represent 2/3 yards.

Now, we have to sum all sides:

[tex]2(9+\frac{2}{3})+2(5+\frac{2}{3})=18+\frac{4}{3}+10+ \frac{4}{3}=28+\frac{8}{3}=\frac{84+8}{3}=\frac{92}{3}=30\frac{2}{3}[/tex]

Therefore, the right answer is D.

which equation can be simplified to find the inverse of y=2x-7 ?
A.
[tex]x = y {}^{2} - \frac{1}{7} [/tex]
B.
[tex] \frac{1}{x} = {y}^{2} - 7[/tex]
C.
[tex]x = {y}^{2} - 7[/tex]
D.
[tex] - x = {y}^{2} - 7[/tex]

Answers

y = 2x - 7

Inverse:

x = 2y - 7

x + 7 = 2y

(x + 7)/2 = y

Answer: y = x/2 + 7/2

Answer with explanation:

The given Linear equation is:

  y=2 x -7

→2 x= y +7

[tex]x=\frac{y+7}{2}[/tex]

Replacing , x by ,y and y by x to get inverse of the given function

 [tex]y=\frac{x+7}{2}[/tex]

2 y = x +7→→Inverse of the function, y= 2 x -7

→None of the Option Matches with the given options.

19y-15y=20 whats the answer to y

Answers

Answer:

y=5

19y-15y=20

4y=20

Divide by 4 on each side

y=5

I think the answer would be 5

Other Questions
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