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3 years ago

5

SOLVE THIS QUESTION WITH FULL STEPS...THANKS

1 answer:

GalinKa [24]3 years ago

5 0

Answer: which question

Step-by-step explanation:

You might be interested in

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

_____ + 5 3/4 = 9 5/8<br>please help you will get 75 points

LuckyWell [14K]

Answer:

3 7/8

Step-by-step explanation:

_____ + 5 3/4 = 9 5/8

x + 5 3/4 = 9 5/8

Subtract 5 3/4 from each side

x + 5 3/4 - 5 3/4 = 9 5/8 - 5 3/4

x = 9 5/8 - 5 3/4

Get a common denominator of 8

5 3/4 *2/2 = 5 6/8

x = 9 5/8 - 5 6/8

We need to borrow 1 from the 9 in the form of 8/8

x= 8 + 8/8+ 5/8 - 5 6/8

x = 8 13/8 - 5 6/8

= 3 7/8

7 0

3 years ago

Read 2 more answers

fiasKO [112]

Idek my guy boy you ugly sorry that you smell bad poop face

3 0

3 years ago

El que me lo responda bien le doy 20 puntos mas :v

m_a_m_a [10]

Answer: hehe, I don’t understand spAnIsh

Step-by-step explanation:

8 0

3 years ago

The chart shows the low temperature each day in International Falls, Minnesota, during the month of February 2009. What was the

Nastasia [14]

Answer:

The median is -8°F

Step-by-step explanation:

Attached Table.

The median is the "middle" value from all the numbers arranged from least to greatest.

Looking at the table, we need to arrange the numbers (first week numbers) from least to greatest.

-31, -29, -9, -8, 3, 4, 6

There are 7 numbers and the middle number is the 4th one, which is -8

The median is -8°F

6 0

3 years ago

Read 2 more answers