3(r-6)+2=4(r+2)-21
3r-18+2=4r+8-21
3r-16=4r-13
-3=r
r=-3
Answer:
X12/45 =32
Step-by-step explanation:
Perpendicular means that the slopes are negartive inverses, aka
slope1 times slope2=-1
y=mx+b
slope=m
y=-1/2x-2
slope=-1/2
we need to find negative inverse
-1/2 times what=-1
answer is 2
y=2x+b
input the point (2,-2) to find b
(x,y)
(2,-2)
-2=2(2)+b
-2=4+b
minus 4 from both sides
-6=b
y=2x-6
the equtaion is y=2x-6
Solution: We are given:

We need to find the z value corresponding to probability 0.84, in order to find the how much money almost 84% of gamblers spent at casino.
Using the standard normal table, we have:

Now we will use the z score formula to find the required amount:





approximately
Therefore, almost 84% of gamblers spent more than $720 amount of money at this casino.
The equation of the quadratic function in standard form as required in the task content is; f(x) = -x² + 12x - 43.
<h3>Standard form equation of a quadratic function.</h3>
It follows from the task content that the standard form equation of the quadratic function is to.be determined.
Since the standard form equation can be derived from the vertex form equation as follows;
f(x) = a (x - h)² + k
f(x) = a (x - 6)² - 7
Hence, to find the value of a, Substitute x = 8 and f(x) = -11 so that we have;
-11 = a (8 - 6)² - 7
-11 = 4a - 7
4a = -4
a = -1.
Hence, the equation in vertex form is; f(x) = -1 (x -6)² - 7 and when expressed in standard form we have;
f(x) = -1(x² - 12x + 36) - 7
f(x) = -x² + 12x - 43
Therefore, the required equation in standard form is; f(x) = -x² + 12x - 43.
Read more on quadratic functions;
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