Write an equation in slope-intercept form for the line that passes through the

Mathematics

1 answer:

Over [174]3 years ago

6 0

Answer:

$y=-\frac{3}{4}x-3$

Step-by-step explanation:

The slope will be the same as the one in the given equation since they are parallel, you can substitute the x and y of the given point into the given equation, replacing the 1 with m to get m in the equation.

I hope this helps :)

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The graph below shows the value of Edna's profits f(t), in dollars, after t months:

umka21 [38]

Since we know that the graph of our quadratic function has x-intercepts at (6,0) and (18,0), $x=6$ and $x=18$ are the zeroes of our quadratic. To find our quadratic we are going to factor each zero backwards and multiply them:
$x=6$
$x-6=0$
$x=18$
$x-18=0$

$(x-6)(x-18)=x^{2}-6x-18x+108$
$=x^{2}-24x+108$

Now that we have our quadratic function, we are going to use the average formula: $m= \frac{f(9)-f(3)}{9-3}$
$where$
$f(9)$ is the function evaluated at the 9th month
 $f(3)$ is the function evaluated at the 3rd month

$m= \frac{f(9)-f(3)}{9-3}$
$m= \frac{[9^{2}-24(9)+108]-[3^{2}-24(3)+108]}{9-3}$
$m= \frac{-27-45}{6}$
$m= \frac{-72}{6}$
$m=-12$

We can conclude that the closest approximate average rate of change for Edna's profits from the 3rd month to the 9th month is: B. −11.63 dollars per month.

6 0

3 years ago

Read 2 more answers

What is 1 2/3 multiple 2/3

Flauer [41]

Answer:

$1\frac{1}{9}$

Step-by-step explanation:

Given the following question:

$1\frac{2}{3} \times\frac{2}{3}$

In order to multiply the two, we have to convert the mixed number into a improper fraction and then multiply the numerator by the numerator, the denominator by the denominator.

$1\frac{2}{3} =3\times1=3+2=\frac{5}{3}$
$\frac{5}{3} \times\frac{2}{3}$
$5\times2=10$
$3\times3=9$
$=\frac{10}{9}$

Convert the improper fraction into a mixed number:

$\frac{10}{9}$
$\frac{10}{9} =10\div9=1\frac{1}{9}$
$=1\frac{1}{9}$

Your answer is "1 1/9."

Hope this helps.