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3 years ago

15

Stephanie's graduation picnic costs $7 for every attendee. Write an equation that shows the relationship between the attendees,

a,and the cost, c. Complete the table to represent this scenario. Then graph the function. Be sure to label your table and graph.

1 answer:

Serjik [45]3 years ago

4 0

Are you studied on his work

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—2t(t+1),<br> t < 6<br> 5t<br> g(t) =<br> =<br> ,6 6<br> 2t2 + 3t<br> t> 12<br> g(12) =

yuradex [85]

Answer:to Let f(t) = 6, g(t) = −5t, and h(t) = 2t2

Step-by-step explanation:

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2 years ago

Un automovilista conduce hacia el norte durante 35.0 minutos a 23.61 m/s y ¿Cuál es su desplazamiento?

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2 years ago

Solve:<br><br> a.x3+x2-8x - 12x+2<br> b. x3-4x2-3x + 18x-3<br> c. x2 + 4x + 4<br> d. x2 - 6x + 9

NeTakaya

<h2>Steps:</h2>

So firstly, this function is asking us to divide f(x) by g(x) so let's set that up as such:

$(\frac{f}{g})(x)=\frac{x^2-x-6}{1}\div \frac{x-3}{x+2}$

Next, remember that <u>dividing by a number is the same as multiplying by its reciprocal.</u> To find the reciprocal of a number, flip the numerator and denominator around. With this info, flip the second fraction to it's reciprocal and change the sign to multiplication:

$(\frac{f}{g})(x)=\frac{x^2-x-6}{1}\times \frac{x+2}{x-3}$

Next, we are going to factor x² - x - 6. Firstly, what two terms have a product of -6x² and a sum of -x? That would be -3x and 2x. Replace -x with 2x - 3x:

$(\frac{f}{g})(x)=\frac{x^2+2x-3x-6}{1}\times \frac{x+2}{x-3}$

Next, factor x² + 2x and -3x - 6 separately. Make sure that they have the same quantity on the inside of the parentheses:

$(\frac{f}{g})(x)=\frac{x(x+2)-3(x+2)}{1}\times \frac{x+2}{x-3}$

Now you can rewrite it as:

$(\frac{f}{g})(x)=\frac{(x-3)(x+2)}{1}\times \frac{x+2}{x-3}$

Next, multiply:

$(\frac{f}{g})(x)=\frac{(x-3)(x+2)^2}{x-3}$

Next, divide:

$(\frac{f}{g})(x)=(x+2)^2$

And lastly, simplify:

A good tip: $(x+y)^2=x^2+2xy+y^2$

$(\frac{f}{g})(x)=x^2+4x+4$

<h2>Answer:</h2>

<u>The correct option is C. x² + 4x + 4.</u>

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3 years ago

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sdas [7]

Step 1- Multiply both sides by 8.
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