So therefore the answer is –42
Step-by-step explanation:
5*–7–7= –42
Answer:
y = (x-0)^2 + (-5) ⇒ y = x^2 - 5
Step-by-step explanation:
The general vertex form of the parabola y = a(x - h)² + k
Where (h,k) is the coordinates of the vertex.
As shown at the graph the vertex of the parabola is the point (0, -5)
So,
y = a(x-0) + (-5)
y = ax^2 - 5
To find substitute with another point from the graph like (1,-4)
So, at x = 1 ⇒ y = -4
-4 = a * 1^2 - 5
a = -4 + 5 = 1
<u>So, the equation of the given parabola is ⇒ y = x^2 - 5</u>
<u><em>Note:</em></u>
<em>Your question is a little unclear. But, from my understanding, I assume you may be asking the evaluation of the expression 36x - y when x = 3 and y = -6.</em>
<em>so I will solve based on my assumption which anyways would clear your concept.</em>
Answer:
The value of 36x - y when x = 3 and y = -6 will be: 114
Step-by-step explanation:
Given
Assuming the expression
36x - y
To Determine
Evaluate 36x - y when x = 3 and y = -6
Given the expression

substitute x = 3 and y = -6 to evaluate the expression



Therefore, the value of 36x - y when x = 3 and y = -6 will be: 114
Answer : Probability that the pumping system will fail on any given day = 0.005
Explanation:
Probability that only older pump fail = P(A) = 0.10
Probability that only newer pump fail = P(B) = 0.05
Since they are independent events ,
then the conditions will be
P(A∩B) = P(A). P(B)
= 0.10 ×0.05
= 0.005
Hence, the probability will fail on any given day = 0.005
Answer:
Q' (12,8) , R'( 24,20) and S' (24,8)
Step-by-step explanation:
Here, we want to get the coordinates of the image after dilating the pre-image by a scale factor of 4
What we have to do here is to multiply each of the coordinate on the pre-image by 4
We have this as;
Q' = (4*3, 2 * 4) = (12,8)
R' = (4*6, 4*5) = (24,20)
s' = (4*6, 4*2) = (24,8)