Answer:
Let's complete the square first.
y = x² + 6x + 3
= (x² + 6x + 9) - 6
= (x + 3)² - 6
Therefore, the vertex is (-3, -6) and since the coefficient of (x + 3)² is positive, the vertex is a minimum.
The correct answer is: Commutative Property
Further Explanation:
The commutative property states that the order of number doesn't matter and changing the order of numbers or variables will produce the same result.
<u>Commutative Property of Addition:</u>
The Commutative Property of addition means that an expression can be written as a + b = b + a.
<u>Commutative Property of Multiplication:</u>
The Commutative Property of multiplication means that an expression can be written as a • b = b • a
Hence, the correct answer is: Commutative Property
Keywords: Commutative property, addition, multiplication
Learn more about Properties at:
#LearnwithBrainly
Answer:
16 7⁄15
Step-by-step explanation:
Find the Least Common Denominator [LCD], which is 15.
7⅔ → 7 10⁄15
+
8⅘ → 8 12⁄15
15 22⁄15 → 167⁄15
I am joyous to assist you anytime.
Answer:
0.1587
Step-by-step explanation:
Let X be the commuting time for the student. We know that 
. Then, the normal probability density function for the random variable X is given by
![f(x) = \frac{1}{\sqrt{2\pi(5)^{2}}}\exp[-\frac{(x-\mu)^{2}}{2(5)^{2}}]](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%5Cfrac%7B1%7D%7B%5Csqrt%7B2%5Cpi%285%29%5E%7B2%7D%7D%7D%5Cexp%5B-%5Cfrac%7B%28x-%5Cmu%29%5E%7B2%7D%7D%7B2%285%29%5E%7B2%7D%7D%5D)
. We are seeking the probability P(X>35) because the student leaves home at 8:25 A.M., we want to know the probability that the student will arrive at the college campus later than 9 A.M. and between 8:25 A.M. and 9 A.M. there are 35 minutes of difference. So,
= 0.1587
To find this probability you can use either a table from a book or a programming language. We have used the R statistical programming language an the instruction pnorm(35, mean = 30, sd = 5, lower.tail = F)
Answer:
<h2>y=7x-47</h2>
Step-by-step explanation:
