4-9×2^x+2+1=0. Please help me to solve the question please

The limit of (2x-1)(3-x)/(x-1)(x+3) as x approaches infinity is 0.

To find the limit of the function (2x-1)(3-x)/(x-1)(x+3) as x approaches infinity, we will divide both the numerator and denominator through the highest power of x. In this case, the highest power of x is x², so we can divide both the numerator & the denominator through x²:

\([(2x-1)/(x^2)] * [(3-x)/((x-1)/(x^2)(x+3))]\)

Now, as x approaches infinity, every of the fractions within the expression procedures zero except for (2x-1)/(x²). This fraction techniques 0 as x procedures infinity because the denominator grows quicker than the numerator. therefore, the limit of the expression as x strategies infinity is:

0 * 0 = 0

Consequently, When x gets closer to infinity, the limit of (2x-1)(3-x)/(x-1)(x+3) is 0.

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Answer:

Is Square Root of 25 Rational or Irrational?  

Step-by-step explanation:

A rational number can be expressed in the form of p/q. Because √25 = 5 and 5 can be written in the form of a fraction 5/1. It proves that √25 is rational.

The answer is:

Work/explanation:

What are rational numbers?

Rational numbers are integers and fractions.

Irrational numbers are numbers that cannot be expressed as fractions, such as π.

Now, \(\bf{\sqrt{25}}\) can be simplified to 5 or -5; both of which are rational numbers.

We were told that Amber had 5/6 of a book of postage stamps. If she used 2/6 of the book of postage stamp, then the fraction of the book of postage stamp that she has left is

5/6 - 2/6

= 3/6

She has 3/6 now

The value of the given expression [\(87^3+ 13^3/87^2 -87 * 13 + 13^2\)] by simplifying the numerator and denominator using suitable identities is 100.

We will first calculate the numerator:

As  (\(a^3\) + \(b^3\)) = (a + b)(\(a^2\) - ab + \(b^2\)) :

\(87^3\) + \(13^3\) = (87 + 13)(\(87^2\) - \(87 * 13\) + \(13^2\))

= 100(\(87^2\) - 87 * 13 + \(13^2\))

Now, calculate the denominator:

\(87^2 - 87 * 13 + 13^2\)

As,(\(a^2 -2ab +b^2\)) =\((a - b)^2\):

\(87^2 - 87 * 13 + 13^2 = (87 - 13)^2\)

\(= 74^2\)

So by solving the equation further:

\((87^3+13^3) / (87^2- 87 * 13+13^2) = 100*(87^2- 87 *13 + 13^2)/(87^2 - 87 * 13 + 13^2)\)

As we can see the numerator and denominator are the same expressions (\(87^2 - 87 * 13 + 13^2\)). so, they cancel each other:

\((87^3 + 13^3) / (87^2 - 87 * 13 + 13^2) = 100\)

So, the value of the given expression is 100.

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As we know that perimeter of a shape is the sum of all it's boundaries. Also , let assume that the missing side be y . So ,here ;

\({:\implies \quad \sf (4x-4)+(3x+1)+y=13x-8}\)

\({:\implies \quad \sf 4x-4+3x+1+y=13x-8}\)

\({:\implies \quad \sf y+7x-3=13x-8}\)

\({:\implies \quad \sf y=13x-8-7x+3}\)

Collecting like terms :

\({:\implies \quad \sf y=(13x-7x)+(-8+3)}\)

\({:\implies \quad \bf \therefore \quad \underline{\underline{y=6x-5}}}\)

Hence , the length of Missing side is 6x-5

Answer:

I think it's number 5 or (5,8)

Step-by-step explanation:

Answer:

what´s the question????

Step-by-step explanation:

The correct option is the second one, the quadratic equation is:

f(x) = 1 - 8x²

A quadratic equation is a polynomial where the degree is 2.

So, we only have integer exponents and the larger exponent is 2.

For example, in the first equation we can see that, but the coefficient of the term with the exponent of 2 is zero, so that term is zero, and thus, that is a linear equation.

The option that is quadratic is the second one:

f(x) = 1 - 8x²

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The estimated regression model shows that as advertising increases by $1,000, the estimated mean sales increase by $80,000.

The estimated regression model is a mathematical equation that relates the dependent variable (sales) to the independent variable (advertising) based on a given set of data. In this case, the estimated regression model indicates that for every increase of $1,000 in advertising, the estimated mean sales increase by $80,000. This means that there is a positive correlation between advertising and sales, and the model predicts that increasing advertising expenditure will result in higher sales.

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The amount invested at 8% is $26,333.33.

The amount invested at 2% is $8,666.66.

What is simple interest?

Simple compound interest is a method of calculating the amount of interest charged for a fixed rate and total over a fixed period of time. With simple interest, the principal is always the same, unlike compound interest, which adds interest to the previous year's principal to calculate the next year's interest.

                        interest = principal * rate * time

Given data:

             Principal  = $35000

             Interest = $2280

             time = one year.

Let 'x' represent the amount invested at 8%, then '35000-x' represents the amount invested at 2%.

                         interest = principal * rate * time

                         2280 = 0.08x + 0.02(35000 - x)

                         2280 = 0.08x + 700 - 0.02x

                         2280 - 700 = 0.06x

                         x = 1580/0.06

                         x = 26333.33

and

          35000 - x = 35000 - 26333.33

                         x = 8666.66

Hence, The amount invested at 8% is $26,333.33.

             The amount invested at 2% is $8,666.66.

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Answer:

just count the square from y or x axis then multply divide and wola theres the answr

Step-by-step explanation:

An equation for a parabola with x-intercept (-3,0) and (2,0) which pass through the point (1,-20) is  "\(5x^2+5x-30\)".

parabola is a major conic section that has wide applications in science and technology. know according to the condition by following intercepts we begin with an equation

                            \(y=a(x+3)(x-2)\)

where a is any number that restricts the parabola to pass through (1,-20)

know we have to choose a for what the above equation got its require achievements. substitute (1,-20) in   \(y=a(x+3)(x-2)\) we get

                           \(-20=a(1+3)(1-2)\\\\-20=a(4)(-1)\\\\a=5\)

substituting a back in the first equation we get the equation of the parabola. so, the parabola has an equation  y= f(x)=\(5x^2+5x-30\).

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x^2 - 5 this will be the equation formed.

An exponent is the number of times a number is multiplied by itself. For example, 2 to the third (written as 23) means: 2 x 2 x 2 = 8. 23 is not the same as 2 x 3 = 6. Remember that a number raised to the power of one is itself.

let the number be x

x^2 - 5 this will be the equation formed

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Answer:

4.072

Step-by-step explanation:

Answer:

Step-by-step explanation:

Brainliest? Thanks!

Answer: The answer is B) y < 0

Answer: B

Step-by-step explanation:

Answer:

x^2+6x-19

Step-by-step explanation:

hope this helps you if it didnt then give me a 1 star

Answer:

It is on sale for $80.

Step-by-step explanation:

20% -> 0.20

0.20*100= 20

100-20=80

$80

Hope this was helpful. Have a nice day/night! :)

Answer:

400$

Step-by-step explanation:

since he receives 20 percent of the sales and he receives 80 dollars. Then 80 dollars is 20 percent of the sales. Now, we can change 20 percent into a fraction, 20 percent is 20/100 or 2/10, now there are 5 twos in a ten so we multiply 2/10 by 5, since 2/10 right now is 80 dollars you multiply 80 by 5

80*5=400, so the sales of the week was 400 dollars

Hope this helps :)

Answer:

Thus, the sales of the week were $400

Step-by-step explanation:

Percentages

The salesman receives a 20% commission on all his sales.

One week the company pays $80 as commission.

This means that $80 corresponds to 20% of the sales.

To find the sales, we just divide the commission by the percentage (expressed as a decimal) as follows:

Sales = $80 / (20/100)

Sales = $80 / 0.20

Sales = $400

Thus, the sales of the week were $400

Answer:

28

Step-by-step explanation:

circumference=diameter × π

diameter=87.92÷3.14=28

The diameter of circle will be 28 inches.

The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.

Given that;

The circumference of a circle is 87.92 inches.

Now,

We know that;

The circumference of circle = 2πr

Since, The value of π = 3.14

Substitute all the values, we get;

⇒ 87.92 = 2 × 3.14 × r

⇒ 87.92 = 6.28 r

⇒ r = 14

Thus, The diameter of circle = 2 × 14

                                            = 28 inches

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The equation of the circle is \((x-4)^2 + (y+2)^2 = 11\)

The midpoint of the line phase connecting the endpoints of the diameter is the middle of the circle. Using the midpoint formula, we can locate the coordinates of the center:

\(\left(\frac{-4+4}{2}, \frac{0+0}{2}\right) = (0,0)\)

Therefore, the middle of the circle is (0,0).

The equation of a circle with middle (h,k) and radius r is:

\((x-h)^2 + (y-k)^2 = r^2\)

Since the core of this circle is (0,0), the equation becomes:

\(x^2 + y^2 = r^2\)

To locate the radius, we can use the distance formulation to locate the size of the diameter:

\(d = \sqrt{(4-(-4))^2 + (0-0)^2} = 8\)

So, the radius is half of of the diameter, which is four Therefore, the equation of the circle is:

\(x^2 + y^2 = 16\)

C. The y-coordinate of the factor on the circle with x-coordinate m can be observed with the aid of plugging m into the equation of the circle and fixing for y:

\(m^2 + y^2 = 16 \Rightarrow y^2 = 16-m^2 \Rightarrow y = \pm\sqrt{16-m^2}\)

Therefore, possible coordinates for the point on the circle are (m,

\(\sqrt{16-m^2}$) and (m, $-\sqrt{16-m^2}$).\)

2. The equation of a circle with center (h,k) and radius r is:

\((x-h)^2 + (y-k)^2 = r^2\)

Since the core of this circle is (4,-2) and the radius is $\sqrt{11}$, the equation becomes:

\((x-4)^2 + (y+2)^2 = 11\)

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After combining like terms to create equivalent expression we get (-1.9 + 1.2) + (5.1 - 3.6)t. Simplifying further, we get: -0.7 + 1.5t.

To combine like terms, we add or subtract the coefficients of the same variables. In this case, the variables are t and the constant terms (without variables) are -3.6, -1.9, and 1.2.

So the equivalent expression after combining like terms is:

(-1.9 + 1.2) + (5.1 - 3.6)t

Simplifying further, we get:

-0.7 + 1.5t

A coefficient is a numerical factor that is multiplied by a variable in an algebraic expression. It tells you how many times the variable appears in the expression. For example, in the expression 3x + 2, the coefficient of x is 3. Variables are symbols used to represent unknown quantities in mathematical equations or expressions. They can take on different values, and their value can be solved for using algebraic techniques. Equivalent expressions are expressions that have the same value for all possible values of the variables involved. For example, 2x + 4 and 4 + 2x are equivalent expressions since they simplify to the same value. Equivalent expressions can be useful in simplifying and solving algebraic equations.

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Complete Question

Combine like terms to create an equivalent expression. −

3. 6−1. 9+1. 2+5. 1 −3. 6−1. 9t+1. 2+5.

3-5x=2

or, -5x=-1

or, x= 1/5

The value of x is 1/5 for equation 3 – 5x = 2

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

The given equation is 3 – 5x = 2

Three minus five times of x equal to two

We need to solve for x

3 – 5x = 2

Subtract 3 from both sides

3-3-5x=2-3

-5x=-1

Divide both sides by -5

x=-1/-5

x equal to one by five

x=1/5

Hence, the value of x is 1/5 for equation 3 – 5x = 2

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Answer:

6x + 15.

Step-by-step explanation:

3(3x + 5)

= 3 * 2x + 3*5

= 6x + 15.

Hey There!! ~

The answer to this is: Apply the distributive property.

\(3 (2x) + 3 . 5\)

Multiply. 2 by 3 \(6x + 3 . 5\) Multiply  

Multiply 3  by 5.

\(6 x + 15\) Thus, for the answer is: 6x + 15.

Hope It Helped!~

\(ItsNobody\)~

Where the above is given, the required angle m∠BAC = 45°.

In triangle ABC. AC represents the foreman’s line of sight to the top of the landfill. Landfill height is BC

The triangle is geometric shape which includes 3 sides and sum of interior angle should not grater than 180°

According to conditions angle b = 90°

The sum of angles of a triangle= 180°

That is a + b + c = 180

Therefore, c = a

       a = (180 - b)/2

          = (180 - 90) / 2

          = 90 / 2

          = 45°

Hence, the required angle m∠BAC = 45°

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Full Question:

Although part of your question is missing, you might be referring to this full question:

Question 1 Create Triangle ABC by drawing AC. Segment AC represents the foreman’s line of sight to the top of the landfill. What is Angle m BAC?

Step-by-step explanation:

1)  Total rectangle area =  W x H = 12 x 8 = 96 cm^2

 area of triangle (shaded portion) = 1/2 base * height = 1/2 * 7 x 8 = 28 cm^2

              Nonshaded portion = 96 - 28 cm^2 = 68 cm^2

          ratio shaded:nonshaded is then   28 : 68 = 7:17

2)   Look at the two middle triangles :  Height of each = 8 cm

       then reading across the diagram  height + base + height = 21 cm

            so base = 5 cm

   area of ONE triangle = 1/2 * base * height = 1/2 * 5 * 8 = 20 cm^2

        total area for FOUR of them  = 80 cm^2

Answer: Correct, 4.4 is the answer when rounded, but to be more exact, it would be 4.420

Step-by-step explanation:

The only discrepancy is the rounding, the rest of the work is correct. It is subjective to the teacher whether the answer is sufficient or not, but you did a great job otherwise. If your teacher does want preciseness, however, I would not round to 4.5, it would be more accurate as 4.44 when setting up your equation.

Answer:

Sarah has a larger average

Step-by-step explanation:

to find the average of each person, you add how much they spent then divide by the total number of values in the set of each person.

The best approximation for the area of this circle with a radius of 8in is 201.0 in².

A circle is a two-dimensional object made up of points that are spaced out from a given point (center) on the plane by a fixed or constant distance (radius). The area, a circle occupies in a two-dimensional plane is known as the area of the circle. Therefore, the area that a circle with radius r encloses is πr².

Given the radius r of the circle is 8 in. Then, the area is,

A = 3.14×(8 in)² =200.96 in²=201.0 in²

The answer is 201.0 in² and the correct option is option c.

The complete question is -

What is the best approximation for the area of this circle? Circle with radius labeled 8 in. Use 3.14 to approximate pi.  a) 25.1 in² b) 50.2 in² c) 201.0 in² d) 803.8 in²

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