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3 years ago

-5 = u + 6 solve this equation shown here.

Mathematics

1 answer:

Pavel [41]3 years ago

3 0

Step-by-step explanation:

-5=u+6

-5-6=u

-11=u

therefore , u= -11

hope that helps

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The table shows the change in temperature each hour for four hours. Find the total change C in temperature.

fomenos

Answer:

Step-by-step explanation:

-3 -1 +2 +8 = -4+10 = 6

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1 year ago

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

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2 years ago

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Eva8 [605]

Answer:

Hi! Hope this helps!

Step-by-step explanation:

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2 years ago

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If 7x = 24 y, find the ratio of x to y.

MArishka [77]

Answer:

7:24 or $\frac{7}{24}$

Step-by-step explanation:

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2 years ago

Help please i need help with my homework

Sedbober [7]

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3 ( x ) + 55 = 85

Answer To Solving Y:

Let's solve your equation step-by-step.

3x + 55 = 85

Step 1: Subtract 55 from both sides.

3x + 55 − 55 = 85 − 55

3x = 30

Step 2: Divide both sides by 3.

3x / 3 = 30 / 3

x = 10

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Answer To The Angle:

( 3 ) ( 10 ) + 55 = 85

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2 ( y ) - 5 = 95

Answer:

Let's solve your equation step-by-step.

2y − 5 = 95

Step 1: Add 5 to both sides.

2y − 5 + 5 = 95 + 5

2y = 100

Step 2: Divide both sides by 2.

2y / 2 = 100 / 2

y = 50

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Answer To The Angle:

( 2 ) ( 50 ) − 5 = 95

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Please don't come at me if I am wrong.....:\

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But, the anwer should be 180 degrees

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2 years ago