4x+3/2x-1+3x-8/x-2=5

Answers

Answer 1

Answer:

4×+2×+3×3-1-8-2=2

9×-6=5

9×=5-6

9×=-1

9×=-1

9×/9=-1/9

×=-1/9

Answer 2

Answer:

x = 7

Step-by-step explanation:

I'm assuming you mean:

\(\frac{4x+3}{2x-1} +\frac{3x-8}{x-2}=5\)

So everything needs to be multiplied by both (2x-1) and (x-2)

(4x+3)(x-2) + (3x-8)(2x-1) = 5(2x-1)(x-2), now you need to FOIL or distribute

4x²-8x+3x-6 + 6x²-3x-16x+8 = 5(2x²-4x-x+2)

4x²-5x-6 + 6x²-19x+9 = 10x²-25x+10, combine like terms

10x²-24x+3 = 10x²-25x+10 put variable on one side and constant on the other

x = 7


Related Questions

An AP has first term as 3 and Common difference of 2 how many terms are needed to make the sum to 99

Answers

Answer:

9

Step-by-step explanation:

The \(n\)term is \(2n+1\).

\(S_n=\frac{3+2n+1}{2}(n)=99 \\ \\ \frac{n(2n+4)}{2}=99 \\ \\ n(n+2)=99 \\ \\ n^2+2n-99=0 \\ \\ (n+11)(n-9)=0 \\ \\ n=9 \text{ } (n>0)\)

The number of terms that needed to make the sum to 99 is 9

The first term of the arithmetic progression = 3

The common difference = 2

The sum of n term is = (n/2) [2a+(n-1)d]

Where a is the initial term

d is the common difference

Substitute the values in the equation

(n/2) [2(3)+(n-1)2] = 99

(n/2) [6 + 2n - 2] = 99

(n/2)[4+2n] = 99

n(2 + n) = 99

2n + \(n^2\) = 99

\(n^2\) + 2n - 99 = 0

Split the terms

\(n^2\) - 9n +11n - 99 =0

n(n -9) + 11(n - 9) = 0

(n + 11)(n - 9) = 0

n = -11 or 9

Since n cannot be a negative number, therefore n = 9

Hence, the number of terms that needed to make the sum to 99 is 9

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14. y = -(x - 2)² + 1 graphed

Answers

Two-variable linear equations have a line as their graph, which is why they are referred to as linear equations. Plotting (x1,y1) and (x2,y2), then creating a line that connects the two.

How do you draw a graph ?

\($\frac{d}{d x}\left(-(x-2)^2+1\right)$\)

Domain of \($-(x-2)^2+1:\left[\begin{array}{cc}\text { Solution: } & -\infty < x < \infty \\ \text { Interval Notation: } & (-\infty, \infty)\end{array}\right]$\)

Range of \($-(x-2)^2+1:\left[\begin{array}{cc}\text { Solution: } & f(x) \leq 1 \\ \text { Interval Notation: } & (-\infty, 1]\end{array}\right]$\)

Interception zones on the axis \($-(x-2)^2+1: \quad X$\) Intercepts: \($(3,0),(1,0), Y$\)Intercepts: (0,-3) .

Vertex of \($-(x-2)^2+1: \quad$\) Maximum (2,1) .

The graph of the equation y=2x+1 shows a straight line, or it is a linear equation. When the value of x rises, eventually the value of y rises by twice the rise in x plus one. With a ruler and the specified amount as the starting point, draw a vertical line. From the line across to the -axis, create a horizontal line using a ruler. Look at the value on the -axis.

There are three fundamental ways to graph linear functions. The initial method involves charting points and then tracing a line through them. The second is by using the slope and y-intercept. The identity function f(x)=x is transformed as the third method.

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14. y = -(x - 2) + 1 graphed

find the LCD of 1/3and2/7​

Answers

Answer:

21

Step-by-step explanation:

PLEASE HURRY DUE TONIGHT
Mary is babysitting a 4-year-old. The little boy wants to play in the kiddie pool in the backyard. Mary knows that using the hose that is near the kiddie pool will take 30 minutes to fill up. The little boy has already asked 17 times if the pool is ready but she hasn't even turned on the water yet. Mary also knows that the hose from the front yard works faster and can fill the pool in 1/2 the time as the hose in the back yard. If she can use both hoses at the same time, how long will it take for the pool to fill up?

(PLEASE SHOW YOUR WORK)(I saw other people get 7.5 min and 75 min but those answers are incorrect.)

A. 5 minutes
B. 10 minutes
C. 22.5 minutes

Answers

Using both hoses will take 10 minutes to fill up the kiddie pool. Mary can fill up 1/3 of the pool using the front yard hose in 10 minutes and 1/6 of the pool using the backyard hose in 10 minutes.

To solve this problem, we need to use the concept of rates. Let's assume the rate of the hose in the backyard is x, so the rate of the hose in the front yard is 2x (because it is twice as fast as the other hose).

The combined rate of the two hoses is x + 2x = 3x, which means they can fill the pool in 30/3x = 10/x minutes.

We know that the area of the pool is 600 square feet and each small rock covers 20 square feet, so we need a total of 600/20 = 30 small rocks to cover the pool.

Since the mass of each rock is 20 grams, the total mass of all 30 rocks is 30 x 20 = 600 grams.

To find the density, we divide the total mass (600 grams) by the total volume of the rocks (30 x 20 cubic feet = 600 cubic feet)

Density = 600g / 600 cubic feet = 1g/cubic foot

Therefore, the answer is B. 10 minutes for the pool to fill up, and the density of the rocks is 1 gram per cubic foot.

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Evaluate.

8(19−6⋅2)
enter the answer in the checkbox.

Answers

Answer:

102.4

Step-by-step explanation:

8(19-6.2)

8(12.8)

102.4

Answer:

102.4

Step-by-step explanation:

I looked it up on mathaway there is no explanation

The first three terms of a sequence are given. Round to the nearest thousandth (if necessary).
9,16,23,...
Find the 46th term.

Answers

The 46th term of the sequence is 324.

We have,

To find the 46th term of the sequence, we need to determine the pattern or rule that generates the terms.

Since the difference between consecutive terms is a constant value of 7, we know that this is an arithmetic sequence with a common difference

of 7.

To find the 46th term, we can use the formula for the nth term of an arithmetic sequence:

a(n) = a(1) + (n - 1) d

where a(1) is the first term, d is the common difference, and n is the term number we want to find.

Using the given information, we have:

a(1) = 9

d = 7

n = 46

Plugging these values into the formula, we get:

a (46) = 9 + (46 - 1)7

a (46) = 9 + 45 (7)

a(46) = 9 + 315

a(46) = 324

Therefore,

The 46th term of the sequence is 324.

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Find the surface area of a right square pyramid if the area of the base is 169 cm² and the slant height of the pyramid is 13 cm.​

Answers

The surface area of a right square pyramid if the area of the base is 169 cm² and the slant height of the pyramid is 13 cm is 507 cm².

Calculating the surface area of square pyramid

We know that the area of the square base is 169 cm², so we can solve for the length of one side.

To find the length, we use the formula for the area of a square:

Area = length x length

169 = length²

Taking the square root of both sides, we get:

length = √169

        = 13 cm

Now we can use the formula for the surface area of a square pyramid:

Surface area = area of base + (1/2)perimeter of base x slant height

The perimeter of the base is 4 times the length of one side, so it is:

perimeter of base = 4 x length = 4 x 13 cm = 52 cm

Plugging in the values we have:

Surface area = 169 cm² + (1/2)(52 cm)(13 cm)

Surface area = 169 cm² + 338 cm²

Surface area = 507 cm²

Therefore, the surface area of the right square pyramid is 507 cm².

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What is the volume of the pyramid? Show all work.
6 m
8 m
4 m

Answers

6x8x4=192
192/3 = 64
Volume = 64m^3

Read the following statement:

If m∠A = m∠B, then m∠B = m∠A.

This statement demonstrates:


the transitive property of equality.

the reflexive property of equality.

the symmetric property of equality.

Answers

This is the symmetric property of equality.

Its saying that if something is equal to something else, that other thing is equal to the other thing.

Basically, heres an example.

2 = 2

2 = 2

I flipped them, did you notice?  The numbers are the same.  It doesn't matter which side of the equals sign things go on.

Same thing for angles.

If angle A = angle B, then angle B = angle A.

If you were say say angle A was 45 degrees, then angle B must be 45 degrees too.

45 = 45

45 = 45

Hope this helps :)

If you need any more explanation, feel free to ask.  If this really helps, consider marking brainliest.

- Jeron

A piece of lumber 2.8 meters long weighs 24.5 kilograms. A piece 0.8 meter long is cut from
the 2.8-meter length. Determine the weight of the 0.8-meter piece.

Answers

The weight of the 0.8-meter piece is 19.6 kilograms.

We can use the ratio of length to weight to determine the weight of the 0.8-meter piece.

Let's call the weight of the 2.8-meter piece "W₁" and the weight of the 0.8-meter piece "W₂". Then we have:

W₁/2.8m = 24.5kg/1m

Solving for W₁, we get:

W₁ = (24.5kg/1m) x 2.8m = 68.6kg

Now we can use the same ratio to find W₂:

W₂/0.8m = 24.5kg/1m

Solving for W₂, we get:

W₂ = (24.5kg/1m) x 0.8m = 19.6kg

Therefore, the weight of the 0.8-meter piece is 19.6 kilograms.

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Find x. √11 X = √17 VIRI X​

Answers

1.243 is the measure of the value of x from the given expression

Solving rational equations

Rational equations are those that contain rational expressions. A rational expression is a fraction with polynomial numerator and denominator. A rational expression, in other terms, is a ratio between two polynomials.


Given the following rational equation

√11 x = √17

We need to determine the measure of the value of x.

Taking the square of both sides we will have:

(√11 x)² = (√17)²

11x² = 17

x² = 17/11

x² = 1.545

Take the square root of both sides

√x² = √1.545
x = 1.243

Hence the measure of the value of x from the given equation is 1.243.

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Is 43,093 less than 43,903

Answers

Answer: yes

Step-by-step explanation:

43093 is less than 43903

Yes it is true that 43,093 less than43,903

Select the correct answer.
68600
A) 6.86 × 104
C) 0.686 × 10²
B) 0.686 × 10¹
D) 6.86 x 10²

Answers

Answer:

  A)  6.86×10⁴

Step-by-step explanation:

You want to write 68600 in scientific notation.

Expanded form

The number 68600 can be written in expanded form with exponents as ...

  68600 = 6×10⁴ +8×10³ +6×10² +0×10¹ +0×10⁰

The left-most term of this sum tells you the exponent in scientific notation:

  68600 = 6.86×10⁴

Select the correct answer.68600A) 6.86 104C) 0.686 10B) 0.686 10D) 6.86 x 10

Help with these 2 please !!

Help with these 2 please !!

Answers

The answer is A and B

50 Points! 2 Multiple choice algebra questions. Photo attached. For questions 5 and 6, use the graph. Determine the values of x between which a real zero is located. Estimate the x-coordinate at which a relative minimum occurs. Thank you!

50 Points! 2 Multiple choice algebra questions. Photo attached. For questions 5 and 6, use the graph.

Answers

5. The real zero occurs located

C. between -2 and -1

6. The x-coordinate at which a relative minimum occurs is at

B. 2

What is real zero and relative minimum in a graph

In the context of a graph of a function

A real zero, also known as a root or a solution, is a value of the independent variable (usually denoted as x) for which the value of the dependent variable (usually denoted as y) is equal to zero.

Geometrically, a real zero corresponds to the x-coordinate of a point where the graph of the function intersects the x-axis.

A relative minimum, on the other hand, is a point on the graph where the function has a local minimum value.

Geometrically, a relative minimum corresponds to a point where the graph changes from decreasing to increasing, and is located at the bottom of a valley or a trough.

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PLEASE HELP !! ILL GIVE BRAINLIEST !!

PLEASE HELP !! ILL GIVE BRAINLIEST !!

Answers

Answer:

<HIK to <GFD

Step-by-step explanation:

Alternate exterior angles are angles that are on the exterior sides alternately on a transversal

Answer:

∠HIK and ∠GFD

Step-by-step explanation:

Alternate exterior angles are angles that lie on the same parts of the parallel lines, but on alternate (different) sides.

∠HIK is on the lower left.

∠GFD is on the upper right.


Complete the solution of the equation. Find the
value of y when x equals 17.
-x + y = -27


Answers

Answer:

y= -10

Step-by-step explanation:

Answer:

-10

Step-by-step explanation:

-17+y=-27

y=-27+17

y=-10

Vrite an equation of the parabola in vertex form.
1. passes through (-5, 0) and has vertex
(-2, 1)

Answers

The equation of the parabola in vertex form is equal to the quadratic equation y - 1 = - (1 / 9) · (x + 2)².

How to find the equation of the parabola based on two given points

Mathematically speaking, parabolae are represented by quadratic equations, there different forms of the equation of the parabola. In this case, we must use the vertex form, whose description is shown below:

y - k = C · (x - h)²

Where:

(h, k) - Coordinates of the vertex.C - Vertex constant.

If we know that (x, y) = (- 5, 0) and (h, k) = (- 2, 1), then the equation of the parabola in vertex form is:

(0 - 1) = C · (- 5 + 2)²

- 1 = 9 · C

C = - 1 / 9

y - 1 = - (1 / 9) · (x + 2)²

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Vrite an equation of the parabola in vertex form.1. passes through (-5, 0) and has vertex(-2, 1)

1. You pay $10 to play the following game of chance. There is a bag containing 12 balls, five are red, three are
green and the rest are yellow. You are to draw one ball from the bag. You will win $14 if you draw a red ball and
you will win $12 is you draw a yellow ball. How much do you expect to win or loss if you play this game 100
times?
O a
-2.40
Ob -1.67
Oc -16.67
Od -24.00

Answers

Answer:

Step-by-step explanation:

You have a 7-by-5-inch photo of the math club that must be reduced to a size of 4.2 inches by 3 inches for the school yearbook. What percent does the photo need to be reduced to in order for it to fit in the allotted space?

Answers

Answer: 64%

Step-by-step explanation:

Given: Size of photo = 7-by-5-inch

Area of photo = 7 x 5 = 35 sq. inches   [ Area = Length x width]

Required size = 4.2 inches by 3 inches

Area of required size = 4.2 x 3 =12.6 sq. inches

Area reduced =Area of photo  - Area of required size = 35-12.6 =22.4 sq. inches

Percentage of the photo need to be reduced to in order for it to fit in the allotted space

\(=\dfrac{22.4}{35}\times100=64\%\)

Percentage of the photo need to be reduced to in order for it to fit in the allotted space = 64%

H

4 MINUTES LEFT! MY LAST QUESTION WILL FOREVER BE GRATEFUL PLS HELP WILL GIVE BRANLIEST!! AT LEAST TAKE A LOOK!!!! PLS I AM BEGGING!!!

1. Molly is trying to find a relationship between the largest angle and largest side of a triangle. She has drawn dozens of triangles, and measured their parts. She’s ready to make a conjecture. What kind of reasoning was Molly using? Explain how you know it’s that kind of reasoning.

Answers

Answer:

Inductive reasoning

Step-by-step explanation:

I know that Molly is using inductive reasoning because she is collecting data from drawing and measuring the triangles to form a hypothesis. This hypothesis is whether or not there is a relationship between the largest angle and the largest side of a triangle.

Molly is using "Inductive Reasoning".

Inductive reasoning is a reasoning that is based on patterns you observe. If you observe a pattern in several tries, you can use inductive reasoning to decide the result of the next try, (although you have to be aware that the conclusion you reach this way may not be valid).

A conclusion you reach using inductive reasoning is called a "conjecture".  After measuring dozens of triangles, Molly has noticed a pattern, so she is ready to make a conjecture.

(It seems to me that a conjecture and a hypothesis are closely related.)

Now please arise from upon your knees.

Ten times the sum of half a number and 5 is 25.

Answers

Answer: in algebraic expiration its 10 (1/2 + 5) = 25

Step-by-step explanation:

Evaluate the expression when c=-4 and x=3.
C- 3x

Answers

Answer:

-13

Step-by-step explanation:

-4-3(3)

-4-9 = -13

Write an equation for 1 cop of sugar is used to make 25 cookies where s equals sugar

Answers

Answer:25S = N.

Step-by-step explanation:Uuummm

brain power

Write an equation for 1 cop of sugar is used to make 25 cookies where s equals sugar N = 25S.

Number of cups of sugar required to make 25 cookies = 1 cup

Number of cups of sugar required to make 1 cookie = 1/25 cup

Number of cups of sugar required to make N cookies = N/25 cups

We are given that S number of cups are required to make N cookies.

Therefore, S = N/25 implying that 25S = N.

5 plus the product of 39 and a number e​

Answers

The required solution is 5+39e.

What is arithmetic?

The branch of mathematics dealing with the properties and manipulation of numbers. a science that deals with the addition, subtraction, multiplication, and division of numbers. Fractions, decimals, percentages, fractions, square root, exponents, and other arithmetic operations are used to achieve mathematical simplifications

Given :

Write down the question as an algebra problem, with the unknown as X

The unknown is a number plus 5, so we write it as (X+5). The product is four times (X+5), so we write it as 39(X+5). Set it equal to e, as per the question, 5+39e

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A normal distribution is informally described as a probability distribution that is​ "bell-shaped" when graphed. Draw a rough sketch of a curve having the bell shape that is characteristic of a normal distribution.

Answers

The bell-shaped curve, also known as a Gaussian curve or a symmetrical distribution , showcases a central peak with data symmetrically distributed around it .

What is a bell curve known for ?

Revered for its iconic shape, the bell curve enchants the discerning observer with its symmetrical countenance, reminiscent of a resonant chime.

This majestic distribution unveils its true essence through its discernible apex, a testament to central tendency , where the mean, median, and mode converge, bestowing upon it an air of distinction .

The rough sketch of the curve having the bell shape is shown attached to the question.

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A normal distribution is informally described as a probability distribution that is "bell-shaped" when

Which equation represents a line which is parallel to the x-axis?

Which equation represents a line which is parallel to the x-axis?

Answers

Answer:

3?

Step-by-step explanation:

{x|x + 1 ≥ 3 and x − 6 ≤ −1}

Write the solution using interval notation

Answers

Solution down below.
{x|x + 1 3 and x 6 1}Write the solution using interval notation

helpppppp meeeeeeee​

helpppppp meeeeeeee

Answers

Pretty sure it would be G lol. The number on the bottom is months, so that’s two months. The number on the left is the books read, so that’s 3. She read 3 books in 2 months

A middle school took all of its 6th grade students on a field trip to see a play at a theater that has 1900 seats. The students filled 44% of the seats in the theater. How many 6th graders went on the trip?

Answers

836
1900 * 0.44 = 836
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The mean of one set of five numbers is 13, and the mean of a separate set of six numbers is 24. What is the mean of the set of all eleven numbers Of the following choices, which would you associate with monocytes? a. T-Lymphocytes b. B-Lymphocytes c. Dendritic cellsd. Neutrophils A push or pull on one object by another that is touching it...........(Hint) starts with C Blaine drives for Uber. On any given day Blaine averages $200 in earnings with a standard deviation of $25. After 50 days, what is the probability that Blaine earns more than $10,100 GIVING BRAINLIEST!!Does anybody have the answers to these questions? ILL MARK BRAINIEST IF YOU CAN DO THIS RIGHT!!! find the correct answer..... Who was the first president of Mexico who was not a part of the PRI, or Institutional Revolutionary Party? a firework, initially at rest, explodes into two pieces, one of which, weighing 2.0\ \text{kg}2.0 kg2, point, 0, space, start text, k, g, end text, flies to the right at 15\ \frac{\text m}{\text s}15 s m 15, space, start fraction, start text, m, end text, divided by, start text, s, end text, end fraction. the other piece flies to the left at 20\ \frac{\text m}{\text s}20 s m 20, space, start fraction, start text, m, end text, divided by, start text, s, end text, end fraction. what is the mass of the firework before explosion? 23250 m + 1,662 km = Make a list of at least five fitness resources in a community. Cliek an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into thecorrect position in the answer box. Release your mouse button when the item is place. If you change your mind, dragthe item to the trashcan click the trashcan to clear all your answersFactor completely, then place the answer in the proper location on the grid2107.57a+ 30123456789 The method of compensation relies on job tiers and grade ranges. Write the polynomial function of least degree that has zeros of x=0, x= 2i and x =3(assume all coefficients must be real)A. x)=x-3x+4x - 12xB. x)=x-3x + 4x-12C. x)=x-3x+4x + 12xD. f(x)=x + 3x - 6x + 12 please help with graph (will mark brainliest!!) Please help! I need to graph this! is there stress on that piece of the bike that can cause buckling especially when riding down hill? one part of dalton's atomic theory states: compounds are formed by combinations of atoms from two or more elements. is this statement currently considered to be true or false and why? A well-known chewing gum maker wants to determine if any of its four flavors of gum are more popular than the others. A random sample of 80 people who say they chew gum regularly is asked to identify their favorite flavor of gum. Here are the results: Geckos are a type of lizard found in a variety of habitats but mostly in tropical rainforests. Which diagram shows a gecko with adaptive markingsthat would provide the best camouflage on a forest floor where there is a mix of different leaves, patches of dim sunlight, and mosses?