<span>A(x) = x 2 - 12x + 36
</span><span>A(x) = (x -6)^2
answer: length of a side of the square = x - 6</span>
<h2>
<em>Answer:</em></h2><h2>
<em>Option </em><em>A</em></h2>
<em>Linear</em><em> </em><em>increasing</em>
<em>Additional</em><em> Information</em><em>:</em>
<em>Linear </em><em>functions </em><em>are </em><em>those </em><em>whose </em><em>graph </em><em>is </em><em>a </em><em>straight</em><em> </em><em>line.A </em><em>linear </em><em>function </em><em>has </em><em>the </em><em>following</em><em> </em><em>form:</em>
<em>y=</em><em>m</em><em>x+</em><em>b</em>
<em>m=</em><em>slope</em>
<em>b=</em><em>y- </em><em>intercept</em>
<em>A </em><em>linear </em><em>function </em><em>has </em><em>one </em><em>independent</em><em> </em><em>variable </em><em>and </em><em>dependent </em><em>variable.The </em><em>independent</em><em> </em><em>variable </em><em>is </em><em>X </em><em>and </em><em>dependent</em><em> </em><em>variable</em><em> </em><em>is </em><em>y.</em>
<em>Initial </em><em>values </em><em>are </em><em>called </em><em>y-intercept.</em>
Answer:
B. 11
Step-by-step explanation:
Set up a system of equations where a is the number of adults and c is the number of children
a + c = 87
8a + 5c = 468
Solve by substitution by rearranging the first equation, then substituting it in the second equation:
a = 87 - c
Substitute this for a in the second equation, then solve for c:
8(87 - c) + 5c = 468
696 - 8c + 5c = 468
696 - 3c = 468
-3c = -228
c = 76
Then, plug this into the first equation to solve for a:
a + c = 87
a + 76 = 87
a = 11
So, 11 adults attended the carnival.
The correct answer is B, 11
Considering that the pace is estimated in the hundreds per hour, 4 hours after the park opens, there are 92 visitors based on the formula (e - l)(4). This is further explained below.
<h3>Exactly what is the definition of a function?</h3>
This phrase describes the connection between two variables.
The function is given as e(x)=0.03x^3+2,
The substraction of function
(e-l)(x)
ex-lx
Hence
(e-l)(x)=0.03x^3+2-(0.5x+1)
(e-l)(x)=0.03x^3-0.5x+1
Hence for x=4
(e-l)(4)=0.03*4^3-0.5(4)+4
(e-l)(4)=0.92
Read more about function here:
brainly.com/question/13461298
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Using the binomial distribution, it is found that there is a 0.03125 = 3.125% probability that all the nickels will land with heads facing up.
For each coin, there are only two possible outcomes, either it lands on heads, or it lands on tails. The landing of a coin is independent of other coins, hence, the binomial distribution is used to solve this question.
Binomial probability distribution
The parameters are:
- x is the number of successes.
- n is the number of trials.
- p is the probability of a success on a single trial.
In this problem:
- 5 nickels, hence .
- They are equally as likely to land on heads or tails, hence
The probability that all the nickels will land with heads facing up is P(X = 5), hence:
0.03125 = 3.125% probability that all the nickels will land with heads facing up.
A similar problem is given at brainly.com/question/24863377