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2 years ago

What is the mean of 9, 25, and 53? 3 9 25 29

Mathematics

2 answers:

malfutka [58]2 years ago

4 0

Answer:

Step-by-step explanation:

9 + 25 + 53

87 ÷ 3

Artemon [7]2 years ago

4 0

Answer:

Step-by-step explanation:

add all the numbers up and divide by how many numbers there are.

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56. How many tangent lines to the curve <img src="https://tex.z-dn.net/?f=y%3Dx%20%2F%28x%2B1%29" id="TexFormula1" title="y=x /(

PIT_PIT [208]

There are 2 tangent lines that pass through the point

$y=\frac{1}{(-1+\sqrt{3)^2} } (x-1)+2$

and

$y=\frac{1}{(-1-\sqrt{3)^2} } (x-1)+2$

Explanation:

Given:

$y=\frac{x}{x+1}$

The point-slope form of the equation of a line tells us that the form of the tangent lines must be:

$y=m(x-1)+2$ $[1]$

For the lines to be tangent to the curve, we must substitute the first derivative of the curve for $m$ :

$\frac{dy}{dx} =\frac{d(x)}{dx}(x+1)-x^\frac{d(x+1)}{dx} \\ \\$

$\frac{dy}{dx} =\frac{x+1-x}{(x+1)^2}$

$\frac{dy}{dx}= \frac{1}{(x+1)^2}$

$m=\frac{1}{(x+1)^2}$ $[2]$

Substitute equation [2] into equation [1]:

$y=\frac{x-1}{(x+1)^2}+2$ $[1.1]$

Because the line must touch the curve, we may substitute $y=\frac{x}{x+1}:$

$\frac{x}{x+1}=\frac{x-1}{(x+1)^2}+2$

Solve for x:

$x(x+1)=(x-1)+2(x+1)^2$

$x^2+x=x-1+2x^2+4x+2$

$x^2+4x+1$

$x\frac{-4±\sqrt{4^2-4(1)(1)} }{2(1)}$

$x=-2$ ± $\sqrt{3}$

$x=-2$ ± $\sqrt{3}$ <em> </em> $and$ $x=-2-\sqrt{3}$

There are 2 tangent lines.

$y=\frac{1}{(-1+\sqrt{3)^2} } (x-1)+2$

and

$y=\frac{1}{(-1-\sqrt{3)^2} } (x-1)+2$

8 0

2 years ago

Which of the following represents<br> this statement? |3x – 41 < 2

agasfer [191]

<h2>Answer:</h2><h2>D is the correct answer </h2><h2></h2><h2>Hope this helps!!</h2>

3 0

3 years ago

If d is the midpoint of the segment AC

3241004551 [841]

Based on the statement below, if d is the midpoint of the segment AC, the length of the segment AB is 4.5cm.

<h3>What is the line segment about?</h3>

in the question given,

AC = 3cm,

Therefore, AD and DC will be = 1.5cm segments each.

We are given C as the midpoint of segment DB.

So CB = 1.5cm.

The representation of the line segment is:

A-----------D------------C-------------B

1.5 1.5 1.5

Since AD, DC and CB are each 1.5cm segments. Then the equation will be:

= 1.5 + 1.5 + 1.5

= 4.5

Therefore, The length of the segment AB is 4.5cm.

See full question below

If D is the midpoint of the segment AC and C is the midpoint of segment DB , what is the length of the segment AB , if AC = 3 cm.

Learn more about midpoint from

brainly.com/question/10100714

#SPJ1

3 0

1 year ago

Need the steps too this

ruslelena [56]

The value of x is 9.

We have : - 25 = 7 - (5x - 13)

We have to find the value of x.

<h3>If f(x) = g(x), than what do you understand by true solution of this equation?</h3>

The true Solution of the equation is the value of x for which LHS = RHS.

For example - if ax + b = cx + d , then

ax - cx = d - b

x = $\frac{d-b}{a-c}$ is the true solution of the equation.

In the question given -

- 25 = 7 - (5x - 13)

- 25 = 7 - 5x + 13

5x = 45

x = 9

Hence, the value of x for which LHS = RHS is 9.

To solve more questions on finding unknown variable, visit the link below -

brainly.com/question/6866597

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3 0

2 years ago

HELP WILL GIVE BRAINLIEST IF CORRECT

mart [117]

Answer:

B. No, the remainder is -50.

General Formulas and Concepts:

<u>Algebra I</u>

Roots are when the polynomial are equal to 0

<u>Algebra II</u>

Synthetic Division

Step-by-step explanation:

<u>Step 1: Define</u>

Function f(x) = x³ - 10x² + 27x - 12

Divisor/Root (x + 1)

<u>Step 2: Synthetic Division</u>

<em>See Attachment.</em>

To determine whether a given root is an actual root, the remainder must equal 0. Since we have a remainder of -50, the given root is not a factor of the polynomial.

<em>Please excuse the bad handwriting. Hope this helped!</em>

6 0

3 years ago