Ask question

Ask question

All categories

3 years ago

14

1. (x + 2) (x +5)

1 answer:

madam [21]3 years ago

3 0

Step-by-step explanation:

el trabajo que pusiste es muy falso

You might be interested in

Intersection point of Y=logx and y=1/2log(x+1)

GalinKa [24]

Answer:

The intersection is $(\frac{1+\sqrt{5}}{2},\log(\frac{1+\sqrt{5}}{2})$ .

The Problem:

What is the intersection point of $y=\log(x)$ and $y=\frac{1}{2}\log(x+1)$ ?

Step-by-step explanation:

To find the intersection of $y=\log(x)$ and $y=\frac{1}{2}\log(x+1)$ , we will need to find when they have a common point; when their $x$ and $y$ are the same.

Let's start with setting the $y$ 's equal to find those $x$ 's for which the $y$ 's are the same.

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

By power rule:

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

Since $\log(u)=\log(v)$ implies $u=v$ :

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

Squaring both sides to get rid of the fraction exponent:

$x^2=x+1$

This is a quadratic equation.

Subtract $(x+1)$ on both sides:

$x^2-(x+1)=0$

$x^2-x-1=0$

Comparing this to $ax^2+bx+c=0$ we see the following:

$a=1$

$b=-1$

$c=-1$

Let's plug them into the quadratic formula:

$x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$

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

$x=\frac{1 \pm \sqrt{1+4}}{2}$

$x=\frac{1 \pm \sqrt{5}}{2}$

So we have the solutions to the quadratic equation are:

$x=\frac{1+\sqrt{5}}{2}$ or $x=\frac{1-\sqrt{5}}{2}$ .

The second solution definitely gives at least one of the logarithm equation problems.

Example: $\log(x)$ has problems when $x \le 0$ and so the second solution is a problem.

So the $x$ where the equations intersect is at $x=\frac{1+\sqrt{5}}{2}$ .

Let's find the $y$ -coordinate.

You may use either equation.

I choose $y=\log(x)$ .

$y=\log(\frac{1+\sqrt{5}}{2})$

The intersection is $(\frac{1+\sqrt{5}}{2},\log(\frac{1+\sqrt{5}}{2})$ .

6 0

3 years ago

Solve solve the following equations 2x (x minus 5) close + 3(x-2)=8+7(x-4)

stiv31 [10]

Step-by-step explanation:

<em>2</em><em>x</em><em>(</em><em>x-5</em><em>)</em><em>+</em><em>3</em><em>(</em><em>x-2</em><em>)</em><em>=</em><em>8</em><em>+</em><em>7</em><em>(</em><em>x-4</em><em>)</em>

<em>2</em><em>x</em><em>²</em><em>-10x</em><em>+</em><em>3</em><em>x</em><em>-</em><em>6</em><em>=</em><em>8</em><em>+</em><em>7</em><em>x</em><em>-</em><em>2</em><em>8</em><em>(</em><em>Group</em><em> </em><em>like</em><em> </em><em>terms</em><em>)</em>

<em>2</em><em>x</em><em>²</em><em>-</em><em>1</em><em>0</em><em>x</em><em>+</em><em>3</em><em>x</em><em>-</em><em>7</em><em>x</em><em>=</em><em>8</em><em>-</em><em>2</em><em>8</em><em>+</em><em>6</em>

<em>2</em><em>x</em><em>²</em><em>-</em><em>7</em><em>x</em><em>-</em><em>7</em><em>x</em><em>=</em><em>-</em><em>2</em><em>0</em><em>+</em><em>6</em>

<em>2</em><em>x</em><em>²</em><em>-</em><em>1</em><em>4</em><em>x</em><em>=</em><em>-</em><em>1</em><em>4</em><em>(</em><em>Divi</em><em>de</em><em> </em><em>both</em><em> </em><em>sides</em><em> </em><em>by</em><em> </em><em>-</em><em>1</em><em>4</em><em>)</em>

2x²<em>-</em><em>x</em><em>=</em><em>1</em>

<em>2</em><em>x</em><em>=</em><em>1</em>

<em>x</em><em>=</em><em>½</em>

<em>Hope</em><em> </em><em>you </em><em>get</em><em> </em><em>it</em><em> </em><em>please</em><em> </em><em>someone</em><em> </em><em>shou</em><em>ld</em><em> </em><em>verify</em><em>.</em><em>.</em><em>.</em><em>.</em>

7 0

3 years ago

I NEED HELP PLEASE, THANKS! :)

KIM [24]

Answer: tan(14x)

<u>Step-by-step explanation:</u>

Consider the Sum Formula for tan:

$tan(A + B)=\dfrac{tan(A)+tan(B)}{1-tan(A)(tan(B)}\\\\\\tan(9x+5x)=\dfrac{tan(9x)+tan(5x)}{1-tan(9x)(tan(5x)}\\\\\\\large\boxed{tan(14x)}=\dfrac{tan(9x)+tan(5x)}{1-tan(9x)(tan(5x)}$

3 0

3 years ago

Read 2 more answers

PLS Answer these questions! I have a test!

horsena [70]

Answer:

ZDM is not a name for the angle, 6 square units is the area, A the cylindar, 26 degrees

Step-by-step explanation:

Area of triangle is 1/2 base x height

116-90 = 26 degrees to angle ABC

4 0

3 years ago

Read 2 more answers

What’s the area of the figure shown below???

ozzi

The answer is 27 yards squared

5 0

3 years ago

Read 2 more answers