Solve for x. 7x−9 11

Mathematics

1 answer:

masha68 [24]3 years ago

7 0

Answer:

x<20/7

Step-by-step explanation:

The expression is not well written. Fine the correct expression below

Given the expression 7x−9<11

Add 9 to both sides of the expression

7x-9+9<11+9

7x < 20

Divide both sides by 7

7x/7 = 20/7

x < 20/7

Hence the required solution is x<20/7

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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:
$x=6$
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$x-18=0$

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

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.