Answer:
(13, 11)
Step-by-step explanation:
I graphed the line and the vertex is at 13, 11
The equation -2(5x+8) = 14+6x solved using step by step representation is x = -15/8.
<h3>Solving steps for the Equation</h3>
The equation to be considered as given in the task content is; -2(5x+8)=14+6x.
It follows from the task content that the steps for solving the equation are as follows;
-2(5x+8) = 14+6x
- Step 1: opening parenthesis
-10x - 16 = 14 + 6x
- Step 2: collect like terms
-10x - 6x = 14 + 16
-16x = 30
x = 30/-16
x = -15/8
Hence, the value of x upon solving the equation is; -15/8.
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For binomial distribute we use formula

the probability mass function of the binomial distribution is:

Given n = 12 and π = .6. (Replace the values)
the probability for x = 5, we need to find P(x=5). Here r= 5
P(x=5)= 
=
= 0.10090 = 0.101
(b) the probability for x ≤ 5
P(x<=5) = P(x=0) + P(x=1) +P(x=2)+ P(x=3) + P(x=4) + P(x=5)
P(x<=5) =
+
+
+
+
+ 
= 0.15821229 = 0.158
(c) find the probability for x ≥ 6
P(x>=6) =P(x=6) + P(x=7) +P(x=8)+ P(x=9) + P(x=10) + P(x=11)+ P(x=12)
P(x>=6) =
+
+
+
+
+
+
= 0.8417877 = 0.0842 (rounded to 3 decimal places)
Answer:
Step-by-step explanation:
In vertex form, the equation is
y = a(x-h)^2 + k
So just read off the values!