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love history [14]

2 years ago

5

Determine the angle measurements for triangles SUV and WYZ

1 answer:

k0ka [10]2 years ago

3 0

It really helps without something to look at!!!!!!!!!!!!!!!

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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

2 years ago

If y varies directly with x and y = 2 when x = 10, then what is the value of y when x = 40? 200 45 320 8

xz_007 [3.2K]

40/10=4 2*4=8

8 is your answer

6 0

2 years ago

Which two events are independent?<br> 1.) A and X<br> 2.) A and Y<br> 3.) B and X<br> 4.) B and Y

Y_Kistochka [10]

4....................

8 0

2 years ago

Read 2 more answers

Will eight be less or more than 2/4

daser333 [38]

Step-by-step explanation:

8 is more than 2/4 because the answer of 2/4 is 0.5 so 8 is more than 2/4

5 0

2 years ago

For all values of x, f(x)=x2+3x and g(x)=x-4

Liono4ka [1.6K]

Answer:

Question is not understandable....

7 0

2 years ago