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3 years ago

Algebra 2 need help on answer ( A,B,C )

Mathematics

1 answer:

statuscvo [17]3 years ago

6 0

Answer: A) when Celsius (c) = 0, then Fahrenheit (F) = 32

B) F(100) = 212°

C) F(25) = 77°

<u>Step-by-step explanation:</u>

A) F(c) = 32 means that when c = 0 then F = 32

B) when c = 100°, then F = 212° can be written as: F(100) = 212°

C) $\dfrac{F(100)-F(0)}{100-0}=\dfrac{212-32}{100}=\dfrac{180}{100}=1.8$

F(c) = 1.8c + 32

F(25) = 1.8(25) + 32

= 45 + 32

= 77°

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3 years ago

Solve x+8y/4=9y for x

nikklg [1K]

Answer:

x = 7y

Step-by-step explanation:

x+8y/4=9y

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Identifying Possible Triangles

Masja [62]

Answer:

3rd triangle can be constructed with dimensions 2,6,7.

Step-by-step explanation:

sum of any two sides > third side.

difference of any two sides < third side

8+5=13 not >14 (no triangle.)

7+8=15 not >15 (no triangle)

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3 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:

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

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

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

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

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3 years ago