Given: <span>y = x^2 + 6x - 5. Then a = 1, b = 6 and c = -5.
The x-coord. of the vertex is given by x = -b / (2a), which here is x = -6 / (2*1) = -3.
Use the given formula </span><span>y = x^2 + 6x - 5 to find the value of y when x = -3:
y = (-3)^2 + 6(-3) - 5 = 9 - 18 - 5 = -14
Then the vertex is (-3, -14).</span>
Answer:
Angle C = 142 degrees
Step-by-step explanation:
A+B = 90
B+C = 180
Rearrange first equation to get B = 90-A
Plug this into the second equation:
90-A + C = 180
C = A + 90
Plug in A, C = 52 + 90 = 142
Answer:
Five x squared plus two
Step-by-step explanation:
An exponent of two is always pronounced as "squared"
Answer: D) 0.733.
Step-by-step explanation:
Let C denotes the number of employees having college degree and S denote the number of employees are single.
We are given ,
Total = 600 , n(C)=400 , n(S)=100 , n(C∩S)=60
Then,
Now, the probability that an employee of the company is single or has a college degree is
Hence, the probability that an employee of the company is single or has a college degree is 0.733
The correct answer is d.We have the following system of linear equations:
(I)
(II)
Let's use the elimination method, then let's multiply the equation (1)
and subtracting (I) and (II):
(I)
∴
(I)
(II)
____________________
(III)
∴
We can find the value of x by substituting y either in (I) or (II). Thus, from (I):
∴
∴
∴
∴
Let's substitute the values of x and y into (I) and (2)
(I)
(II)
Finally the answer is: