Answer:
C
because it is given that the vertex is (4, - 1) an an equation C it is clearly seen that the vertex is same.
Answer:
The last answer; 12.
Step-by-step explanation:
In order to solve this, use substitution. Since it gives you an equation for y, substitute that equation in the other formula as y. This will give you:
Then simplify:
Since 6x - 6x cancels out, you are left with 12.

Answer:
$192.4
Step-by-step explanation:
First, we'll work out what the customer had to pay before tax.
That's
(USD)
4% of 185 is 7.4,
So the customer paid
(USD)
Answer:
14 miles.
Step-by-step explanation:
Let the distance traveled from home to destination = x miles.
Speed while going to friend's house = 35 miles per hour.
Speed while coming back = 40 miles per hour.
Total Time taken for the journey = 45 minutes = 0.75 hours.
Let the time taken while going to friend's house = y hours.
Therefore, the time taken while going to friend's house = (0.75 - y) hours.
To find x and y, model the speeds of both the journeys.
Speed while going to friend's house = Distance/Time.
35 = x/y.
x = 35y (Equation 1).
Speed while coming back = Distance/Time.
40 = x/(0.75 - y).
x = 40(0.75 - y) (Equation 2).
Since x = x, therefore:
35y = 30 - 40y.
75y = 30.
y = 30/75.
y = 0.4 hours.
Put y = 0.4 hours in Equation 1:
x = 35y.
x = 35(0.4).
x = 14.
Therefore, the distance between my friend's house and my house is 14 miles!!!
9514 1404 393
Answer:
4
Step-by-step explanation:
The function definition tells you its domain is ...
-6 < x ≤ 4
Values -7, -6, and 5 are not in this domain.
Of the listed values, only 4 is in the domain.