Answer:
The y-intercept is (0,-12).
Step-by-step explanation:
Given equation is
.
Now question says to find the y-intercept of the given parabola
.
We know that y-intercept means the y-value when x-value equals 0
so let's plug x=0 into given equation
then solve that for y.




Hence the y-intercept is (0,-12).
Answer:
C
Step-by-step explanation:
Here, we want to find which of the expressions have the greatest rate of exponential growth.
The easiest way to go about this is have a substitution for the term t;
Let’s say t = 6
Thus;
h(t) = 1.18^1 = 1.18
K(t) = 0.375^6 = 0.002780914307
f(t) = 1.36^6 = 6.327518887936
g(t) = 0.86^6 = 0.404567235136
Another way to find this is to express each as a sum of 1
f(t) = (1+ 0.36)^t
g(t) = (1-0.14)^t
k(t) = (1-0.625)^t
We can see clearly that out of all the terms in the brackets asides 1, 0.36 is the biggest in value
Answer:
A ≈ 530 cm²
Step-by-step explanation:
The swept area equals the total area covered by the blade minus the unswept area.
The area of a sector with radius r and angle θ is:
A = (θ / 360) πr²
So the swept area is:
A = (θ / 360) πR² − (θ / 360) πr²
A = (θ / 360) π (R² − r²)
A = (150 / 360) π (21² − 6²)
A ≈ 530 cm²
128
This question requires us to solve an infinite GP
As we can see the first unit is 16 wide, then 8, then 4 and so on; this can be written as

∞
(64 used as 16*4 = 64 is the area of the first rectangle)
We have
∞
where a is the first term and r is the common ratio of the GP for summing an infinite GP.
here we have

Therefore
∞
Learn more about GP here
brainly.com/question/16954106
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