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2 years ago

Help with #4 please.

Mathematics

2 answers:

Harlamova29_29 [7]2 years ago

8 0

The Answer would be B

mojhsa [17]2 years ago

5 0

The answer would be B

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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:

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

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

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

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

Michelle drove a total of 57.8 kilometers on saturday. she drove 23.5 kilometers from her house to the park. her next stop was t

zloy xaker [14]

47.5 need this to extend my answer

5 0

2 years ago

Here is a diagram that represents (3.1) ⋅ (1.4).

Firdavs [7]

Step-by-step explanation:

1. solution,

length of rectangle A(l)=3.1units

breadth of rectangle A(b)=1units

now,

area of rectangle A=l×b

=3.1units×1units

=3.1 sq units

2.solution,

length of rectangle B(l)=3.1units

breadth of rectangle B (b)=0.4units

now,

area of rectangleB=l×b

=3.1units×0.4units

=1.24 sq units

3.solution,

length=3.1units

breadth=1.4units

area =lxb

=3.1units x 1.4units

=4.34units

4 0

2 years ago

Read 2 more answers

Which of the following statements about diversification is correct

Luba_88 [7]

Diversification means wide variety of different investment options available in the portfolio so that it becomes lesser risky towards minimizing losses in down market.

It provides better protection towards common issues like inflation, market instability, war effects, hike in exchange rates, interest rates reduction etc. So, we can conclude that :-

Diversification is the method to make investments less vulnerable to a catastrophic loss.

Hence, option A is best answer from given choices.

7 0

3 years ago

Find the inverse of y=log(-2x)

kodGreya [7K]

Answer:f

−

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Step-by-step explanation:

5 0

2 years ago