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Karo-lina-s [1.5K]

3 years ago

13

11x -24 = -2 algebra equation

2 answers:

Soloha48 [4]3 years ago

7 0

Answer:

11x-24 = -2

11x= -2+24

11x = 22

therefore x = 2

Juliette [100K]3 years ago

5 0

Answer:

x=2 I believe

Step-by-step explanation:

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Order least to greatest 1/4 32% 0.4

mixer [17]

1/4=0.25
32%=0.33
0.4

Answer:
Least

1/4
32%
0.4

Greatest

3 0

3 years ago

<img src="https://tex.z-dn.net/?f=9%20%5Cdiv%202.43" id="TexFormula1" title="9 \div 2.43" alt="9 \div 2.43" align="absmiddle" cl

blsea [12.9K]

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3 0

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:

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

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

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

Simplify the expression.

Nana76 [90]

The answer is the A. I hope this helps!

6 0

3 years ago

The magnitude of vector a = (5,m) is 13 and the magnitude of vector b = (n, 24) is 25. What are m and n

Ulleksa [173]

Answer:

$m=12\,,n=7$

Step-by-step explanation:

The magnitude of vector $(x,y)$ is given by $\sqrt{x^2+y^2}$

The magnitude of vector $a=(5,m)$ is $13$ .

$\sqrt{5^2+m^2}=13\\5^2+m^2=13^2\\25+m^2=169\\m^2=169-25\\m^2=144\\m=12$

The magnitude of vector $b=(n,24)$ is $25$ .

$\sqrt{n^2+24^2}=25\\n^2+24^2=25^2\\n^2+576=625\\n^2=625-576\\n^2=49\\n=7$

Therefore,

$m=12\,,n=7$

5 0

3 years ago