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photoshop1234 [79]

2 years ago

11

What is the 3rd term of the sequence 4n-1?

1 answer:

notsponge [240]2 years ago

4 0

3(4) - 1 = 12 - 1 = 11

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Find the mean of 3,2,2,5,1,3,2,0,5<br>

LekaFEV [45]

Answer:

2.56

Step-by-step explanation:

(3+2+2+5+1+3+2+0+5)/9=2.55555555556...

8 0

2 years ago

Function f is an exponential function. It predicts the value of a famous painting, in thousands of dollars, as a function of the

nalin [4]

Answer:

$y=8 \cdot (\frac{5}{4})^x$

$f(x)=8 \cdot (\frac{5}{4})^x$

or

$f(x)=8 \cdot (1.25)^x$

Step-by-step explanation:

We are going to see if the exponential curve is of the form:

$y=a \cdot b^x$ , ( $b\neq 0$ ).

If you are given the $y-$ intercept, then $a$ is easy to find.

It is just the $y-$ coordinate of the $y-$ intercept is your value for $a$ .

(Why? The $y-$ intercept happens when $x=0$ . Replacing $x$ with 0 gives $y=a \cdot b^0=a \cdot 1=a$ . This says when $x=0 \text{ that} y=a$ .)

So $a=8$ .

So our function so far looks like this:

$y=8 \cdot b^x$

Now to find $b$ we need another point. We have two more points. So we will find $b$ using one of them and verify for our resulting equation works for the other.

Let's do this.

We are given $(1,10)$ is a point on our curve.

So when $x=1$ , $y=10$ .

$10=8 \cdot b^1$

$10=8 \cdot b$

Divide both sides by 8:

$\frac{10}{8}=b$

Reduce the fraction:

$\frac{5}{4}=b$

So the equation if it works out for the other point given is:

$y=8 \cdot (\frac{5}{4})^x$

Let's try it. So the last point given that we need to satisfy is $(2,12.5)$ .

This says when $x=2$ , $y=12.5$ .

Let's replace $x$ with 2 and see what we get for $y$ :

$y=8 \cdot (\frac{5}{4})^2$

$y=8 \cdot \frac{25}{16}$

$y=\frac{8}{16} \cdot 25$

$y=\frac{1}{2} \cdot 25}$

$y=\frac{25}{2}$

$y=12.5$

So we are good. We have found an equation satisfying all 3 points given.

The equation is $y=8 \cdot (\frac{5}{4})^x$ .

4 0

3 years ago

Reason abstractly. Are all horizontal lines parallel? Use slope<br> explain how you know.

ohaa [14]

Answer:

All horizontal lines are NOT parallel.

Step-by-step explanation:

We learned that lines go on forever.

If one line is slightly slanted, and the other line is completely straight, these lines are not parallel, as they will meet at some point.

Hope this helped :)

6 0

3 years ago

5/6 divided by 3/4 <br> Thanks for any help

sweet-ann [11.9K]

Answer:

20/18

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

When diving an algebraic fraction do you always have to flip one of the fractions when multipling?

bearhunter [10]

Yes its stay.flip.flip it

4 0

2 years ago