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3 years ago

if the weight of a package is multiplied by 5/8 the result is 15 lbs. find the weight of the package.

Mathematics

1 answer:

lara31 [8.8K]3 years ago

8 0

Let the weight be d
x*5/8=15
5x=15*8
5x=120
x=120/5
x=24

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Ac=r+d for a solve equation for the indicated variable

konstantin123 [22]

$\boxed{a=\frac{r+d}{c}}$

<h2>Explanation:</h2>

Here we have the following expression:

$ac=r+d$

And the question asks for solving the equation for the variable $a$ . So we need to divide both sides of the equation by $c$ :

$ac=r+d \\ \\ \frac{ac}{c}=\frac{r+d}{c} \\ \\ \\ But: \\ \\ \frac{c}{c}=1 \\ \\ \\ So: \\ \\ \boxed{a=\frac{r+d}{c}}$

<h2>Learn more:</h2>

Solving equations: brainly.com/question/10643312

#LearnWithBrainly

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3 years ago

5 points

lara31 [8.8K]

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

4 0

4 years ago

If x is equal to –2, then find the value of 3x² + 5x

attashe74 [19]

Answer:

Step-by-step explanation:

3*(-2)to power of 2 + 5*-2

= 3*4 + 5*-2

= 12 + -10 = 2

5 0

3 years ago

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Alik [6]

Answer:

D. The graph of G(x) is the graph of F(x) flipped over the y-axis and

stretched vertically.

Step-by-step explanation:

since there is a negative, there must be a reflection. the reflection is over the y-axis because it is outside the x-value (-F(x) not F(-x))

the same goes for the vertical stretch. we know it is a vertical stretch because the 3 is outside the x-value (3F(x) not F(3x))

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3 years ago