find the value of 5x³+x²-2x, if X=2
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Answer:

\(\frac{3}{x}+\frac{x}{x+2}= \frac{x^2+3x+6 }{x^2+2x}\)

Step-by-step explanation:

Given

\(\frac{3}{x}+\frac{x}{x+2}\)

Required

Solve

\(\frac{3}{x}+\frac{x}{x+2}\)

Take LCM

\(\frac{3(x+2) + x * x}{x(x+2)}\)

\(\frac{3(x+2) + x^2}{x(x+2)}\)

Open brackets

\(\frac{3x+6 + x^2}{x^2+2x}\)

Rewrite as:

\(\frac{x^2+3x+6 }{x^2+2x}\)

Hence:

\(\frac{3}{x}+\frac{x}{x+2}= \frac{x^2+3x+6 }{x^2+2x}\)

Answer:

x = √(5) - 8

x = -√(5) - 8

Step-by-step explanation:

Let's solve the problem,

→ (x+8)² - 43 = -38

→ x² + 64 - 43 = -38

→ x² + 21 = -38

→ x² = -38 - 21

→ x = √(-59)

→ [ x = √(5) - 8 ]

(or) [ x = -√(5) - 8 ]

Hence, it is the value of x.

Answer:

You can make 27 different 3 digit numbers

Step-by-step explanation:

Since we can use 3 different numbers this means that each of the 3 digits can be one of the 3 numbers (4,2,9). This means that there are 3 different values for the first digit, 3 different values for the second digit, and 3 different values for the third digit, which mean that we can make 3 x 3 x 3 different 3 digit numbers (we took the number of possible values for each digit and multiplied them together.

3 x 3 x 3 = 27

Answer:

The greatest common factor between 36 and 60 is 12.

Step-by-step explanation

36 and 60 can both be made with 12 x something. 12 x 3 equals 36, and 12 x 5 = 60

The range of the function y = 1/2 x + 2 is {0, 1, 2}, if the domain of the function is {-4, -2, 0}.

An expression, rule, or law in mathematics that specifies the relationship between an independent variable and a dependent variable.

The given function is,

y = 1/2 x + 2.

Also, the domain of the function is {-4, -2, 0}.

Since, the domain of the functions defines the values of x,

And range defines the value of y in function.

The value of y at x = -4

y = 1/2(-4) + 2 = -2 + 2 = 0

At x = -2,

y = 1/2(-2) + 2 = -1 + 2 = 1

At x= 0,

y = 1/2 (0) + 2 = 2

The values of y are 0, 1 and 2.

Hence, the range of the function is {0, 1, 2}.

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Answer:

Measure of angle A = 120°

Measure of angle B = 98°

Measure of angle C = 104°

Measure of angle D = 140°

Step-by-step explanation:

Since the two straight lines are parallel

, then A + 12X =180° (alternate angles)

, then A = 180° - 12X

Since the two straight lines are parallel

, then measure angle A = measure angle (25X-5)°

(opposite angles)

, then 180° - 12X = 25X - 5° (solve it like a normal equation)

, then 180° + 5° = 25X + 12X

, then 185° = 37X

, then X = 185° ÷ 37

= 5

, then measure of angle A = 180° - ( 12 x 5 )

= 180° - 60°

, then measure angle A = 120°

Since the two straight lines are parallel

, then measure angle B = measure angle 14X (corresponding angles)

, then 15X - 7 = 14X

, then 15X - 14X = 7

, then X = 7

Since X =7

, then measure angle B = (15 x 7) - 7

= 105° - 7

, then measure angle B = 98°

Since the two straight lines are parallel

, then measure angle C = 8X

(opposite angles)

, then 5X + 39 = 8X

, 39 = 8X - 5X

, 39 = 3X

, then X = 39 ÷ 3

, X = 13

Since X = 13

, then measure angle C = (5 x 13) +39

= 65 + 39

, then measure angle C = 104°

Since straight that angle D lies on = 180°

, then sum of measure of and D and 4X =

180°

, then (12X + 20) + 4X = 180°

, then 16X + 20 = 180°

, then 16X = 160° (resulting from 180° - 20°)

, then X = 10

Since X = 10

, then 12 x 10 + 20 = 120 + 20

,the measure angle D = 140°

Answer:

hfcfkyhgctyirkgt,ckcikkccy

Step-by-step explanation:

Answer:

50.75

Step-by-step explanation:

We have:

\(E[g(x)] = \int\limits^{\infty}_{-\infty} {g(x)f(x)} \, dx \\\\= \int\limits^{1}_{-\infty} {g(x)(0)} \, dx+\int\limits^{6}_{1} {g(x)\frac{2}{x} } \, dx+\int\limits^{\infty}_{6} {g(x)(0)} \, dx\\\\= \int\limits^{6}_{1} {g(x)\frac{2}{x} } \, dx\\\\=\int\limits^{6}_{1} {(4x+3)\frac{2}{x} } \, dx\\\\=\int\limits^{6}_{1} {(4x)\frac{2}{x} } \, dx + \int\limits^{6}_{1} {(3)\frac{2}{x} } \, dx\\\\=\int\limits^{6}_{1} {8} \, dx + \int\limits^{6}_{1} {\frac{6}{x} } \, dx\\\\\)

\(=8\int\limits^{6}_{1} \, dx + 6\int\limits^{6}_{1} {\frac{1}{x} } \, dx\\\\= 8[x]^{^6}_{_1} + 6 [ln(x)]^{^6}_{_1}\\\\= 8[6-1] + 6[ln(6) - ln(1)]\\\\= 8(5) + 6(ln(6))\\\\= 40 + 10.75\\\\= 50.74\)

If only 2,836 students were admitted into the Ateneo among 27,813 students, who took the ACET this year, the Ateneo’s acceptance rate is b. 10.2%.

The rate is the ratio of one value, expression, measurement, or quantity compared to another.

The rate represents the quotient of the numerator and the denominator.

The rate is expressed as a percentage by multiplication with 100.

The number of students who took the ACET this year = 27,813

The number of students who were admitted into the Ateneo = 2,836

The percentage or rate admitted = 10.19667% (2,836 ÷ 27,813 × 100)

= 10.2%

Thus, we can conclude that the acceptance rate or percentage is Option B.

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Answer

a. Slope = -2

b. y-intercept = 9

c. x-intercept = 9/2

d. Domain = (-∞, ∞)

e. Range = (-∞, ∞)

f. The function is a decreasing function because the slope is negative

Explanation

The given equation is

The equation of a line is

Therefore, m = -2, c = 9

a. Slope = -2

b. y-intercept = 9

To find x-intercept, plug in y = 0

This implies

c. x-intercept = 9/2

d. Domain = (-∞, ∞)

e. Range = (-∞, ∞)

f. The function is a decreasing function because the slope is negative

Answer:

3/4 or 15/20

Step-by-step explanation:

this is because, you know there is 3 girls named the same thing and two boys named the same thing so if you know there are 20 people in the class, you do 3g + 2b = 5/20

So the fraction is either 15/20 or 3/4 for reduced fraction.

Answer:

3/4 and 2/3....different denominators.....common denominator is 12

Answer:

Area = 15.6 cm²

Step-by-step explanation:

Area of a rectangle = long * wide

Then:

Area of a rectangle = 6.5 cms * 2.4 cm

Area of a rectangle = 15.6 cm²

Answer: −8  3 /4

Step-by-step explanation: (−3  1 /2 )(2  1 /2 )

(-7/2)(5/2)

−35 /4

−8  3 /4

√(a² + b²)²  - 4a²b²cos²θ is the product of the lengths of the two diagonals is given by the expression.

What is a mathematical expression?

A mathematical expression is a phrase that includes at least two numbers or variables, at least one arithmetic operation, and the expression itself. This mathematical operation may be addition, subtraction, multiplication, or division.

                                An expression's structure is as follows: Number/variable, Math Operator, Number/Variable is an expression.

we have AB as a, AD as b and the angle between them is theta.

So using the cosine rule, we have

  BD = √a² + b² - 2abcosθ

So now consider the triangle ABC

Here AB is a, BC is b and the angle is 180-theta

So using cosine rule, we get AC as

   AC = √a² + b² - 2abcosθ( 180 - θ )

    AC = √a² + b² - 2ab(-cosθ )

    AC = √a² + b² - 2abcosθ

Now we have the two diagonals AC and BD. So multiplying, we get

 AC × BD = √a² + b² + 2abcosθ × √a² + b² - 2abcosθ

Simplifying, we get

AC × BD = √(a² + b² + 2abcosθ) × (√a² + b² - 2abcosθ)

AC × BD = √(a² + b²)² - (2abcosθ)²

AC × BD = √(a² + b²)²  - 4a²b²cos²θ

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Answer:

B.

Step-by-step explanation:

If the point is in the positive x coordinate and negative y coordinate. Therefore, the coordinate or point will be the same as well.

The point will be the same information too.

I hope this helped. If this is correct please say so in the comments below. I don't want this to affect anybody else. Any questions? Ask in the comments below as well.

Signed,

tyreefranklinjr

Answer:

Top choice: x coordinate --> negative, y coordinator   ---> negative

Step-by-step explanation:

Reflection over y axis :  (x,y)  ---> (-x,y)

Answer:

Length: 4 feet

Width: 2 feet

Step-by-step explanation:

The only possibilities that could get an area of 8 feet are 4 x 2 and 8 x 1

However, it has to be 4 x 2 because the 8 x 1 dimension won't have a perimeter of 12 feet.

The dimensions of 4 x 2 will have an area of 8 square feet, since 4(2) = 8

It will also have a perimeter of 12 feet because 4 + 4 + 2 + 2 = 12

So, the length is 4 feet and the width is 2 feet

To recognize by simple inspection the best-fit plot we must know the main types of regression graphs.

The linear increasing fit looks like:

The linear decreasing has a shape as shown below:

The exponential decreasing graph is:

The model data shown in the question is C. Exponential

You already made a question exactly like this which I answered but I'll answer again

Answer:

Read below please

Step-by-step explanation:

We can create 'equations' for each letter

a is the previous number times 2

b is the previous number plus 2

c is the previous number plus 8

The next three numbers for a are 64, 128, and 256

The next three numbers for b are 11, 13, and 15

The next three numbers for c are 53, 61, and 69

The scale factor from the drawing to the actual tower is 1 in : 5 ft

From the question, we have the following parameters that can be used in our computation:

In his drawing, 2 in. represents 10 ft on the actual tower.

Using the above as a guide, we have the following:

Scale factor = Drawing : Actual

Substitute the known values in the above equation, so, we have the following representation

Scale factor = 2 in : 10 ft

Divide

Scale factor = 1 in : 5 ft

Hence, the scale factor = 1 in : 5 ft

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Using the concept of word problems and quadratic equation it will take 1 year until the sum of square of their ages be 45.

Word problems are mathematical problems that are delivered in ordinary words, instead of mathematical symbols.

Part of the problem with dealing with word problems that they first need to be translated into mathematical equations, and then the equations need to be solved.In this problem;

let x represent the number of years from now when the sum of square of their respective age will be

45.(x + 2)² + (x + 5)² = 45

Expanding the brackets;

x² + 4x + 4 + x² + 10x + 25 = 45

2x² + 14x + 29 = 45

2x² + 14x + 29 - 45 = 0

2x² + 14x - 16 = 0

Solving the quadratic equation for x;

x = 1, x = -8

Taking the positive value, the value of x is 1

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Answer:

$51

Step-by-step explanation:

32+5+44

81-30

$51

The given sets written in interval notation are

C = (4, ∞), and  = (-∞, 9]

From the question, we are to write the given sets using the interval notation

The given sets are

C = {v | v > 4}

D = {v | v ≤ 9}

For set C,

C = {v | v > 4}

The elements of the sets are 5, 6, 7, 8, 9, ...

This can be written in interval notation as (4, ∞)

For set D,

D = {v | v ≤ 9}

The elements of the sets are 9, 8, 7, 6, 5, 4, 3, 2, 1, 0, -1, -2, ...

This can be written in interval notation as (-∞, 9]

Hence, the interval notation form of the sets are

C = (4, ∞)

and

D = (-∞, 9]

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Answers:

For each of the methods mentioned, they aren't biased since they have randomness built into their processes.

Answer:

7(x−3)(x+2)

Step-by-step explanation: