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2 years ago

12

Whats the value of x ?

1 answer:

FrozenT [24]2 years ago

8 0

I'm not sure but I think is 30

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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

How many dimes in 1898.59

Keith_Richards [23]

All you do is divide by 10

there are 189 whole dimes

5 0

3 years ago

Read 2 more answers

Over 6.8 months, a tree grew 7.48 inches.

evablogger [386]

The tree's grow rate is 1.1 per month
7.48/6.8
=1.1

4 0

3 years ago

Read 2 more answers

5/8+1/12 in the lowest terms

VladimirAG [237]

Answer:

17/24 i believe

Step-by-step explanation:

because 8 and 12 both have 24 as the lowest common multiple and 8x3 gets 24 and 12 times 2 gets 24

so the equation would be

15/24+2/24=17/24 which cant be simplified

3 0

2 years ago

I just need to know the blanks

iris [78.8K]

Answer:

D, supplementary, BC, D

Step-by-step explanation:

5 0

3 years ago