Answer:
<h2> 3600 barrels</h2>
Step-by-step explanation:
Step one
Given data
We are told that the rate of leakage is
60 barrels per minute
time = 1 hours= 60 minute
Required
The quantity of the oil that leaked after time = 1 hour= 60 minutes
Step two:
From
Rate=Quantity/time
Quantity= rate*time
Quantity= 60*60
Quantity= 3600 barrels
Answer:
x1=2 x2=-5
Step-by-step explanation:
1)
f(x) = x² + 9 g(x) = 24 + 4x
f(4) = (4)² + 9 g(-1) = 24 + 4(-1)
= 16 + 9 = 24 - 4
= 25 = 20
****************************************************************
g(x) = 2ˣ - 4 f(x) = 4x² - 5x - 5
g(6) = 2⁶ - 4 f(-5) = 4(-5)² - 5(-5) - 5
= 64 - 4 = 100 + 25 - 5
= 60 = 120
***************************************************************
f(x) = (3x + 7)²
f(1) = (3(1) + 7)²
= (3 + 7)²
= (10)²
= 100
****************************************************************
3xy + 2x² - y³ ; when x = 6 and y = -2
3(6)(-2) + 2(6)² - (-2)³
-36 + 72 - (-8)
36 + 8
44
Answer:
Ok, we know that we can write a horizontal translation as:
y' = f(x - A)
where if A is positive, this moves the graph of f(x) A units to the right.
Why is this?
Ok, let's compare:
y = f(x)
and
y' = f(x - A)
in y, when x = 0 we have f(0).
While to have this same point in y', we need to evaluate in x = A.
f(A - A) = f(0).
Then the value f(0) is now at x = A, this means that the point moved A units to the right.
And you can do this for all the values, so you will find that the entire graph of f(x) has ben moved A units to the right.
Step-by-step explanation:
Triangle 1 can have 30°, 75° and 75° angles whereas Triangle 2 can have 30°, 30° and 120° angles.
Since they do not have all 3 congruent angles, they are not similar.
