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3 years ago

11

What is -9.75 as a fraction

2 answers:

Wewaii [24]3 years ago

7 0

Or you can also put -39/4

likoan [24]3 years ago

4 0

The answer to your problem is -9 and 3/4.

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You're choosing between two car rental companies. Company A charges an initial fee of $15 with $.25 per mile, while Company B on

Svetllana [295]

Answer:

C. 60 miles; $30

Step-by-step explanation:

You can use desmos graphing calculator!

3 0

3 years ago

Read 2 more answers

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

2 years ago

Janet drove 420 miles in 6 hours. What was her constant rate of change?<br><br><br> Pls answer

Ira Lisetskai [31]

Answer:

70 miles per hour

Step-by-step explanation:

5 0

2 years ago

The base of a bicycle ramp has an area of 4 square feet. The ramp is a triangular prism. If the ramp has a height of 2 1/2 feet,

Anastaziya [24]

Answer:

Step-by-step explanation:

In general:

Volume = (the area of the base of the figure) times (the figure's height)

Here, the area of the base is 4 square feet, the height is 2 1/2 foot = 5/2 foot

Our Volume is then:

4 square feet * 5/2 foot = 10 cubic feet

4 0

3 years ago

How is the answer 35? How do I get it?

vlabodo [156]

I think it's -35. The steps to get that number is subtracting the 3 to the right side. Then you have -2 - 3 which equals to -5. Then you still have x/7= -5. Get rid of 7 from the x and do the same thing to the other side but you multiply 7 and -5. Last you your would be x= -35.

7 0

3 years ago