Solve this system of equations without graphing and show your reasoning
1 answer:
You might be interested in
The diameter of the semicircle is 16 feet.
He calculates that he needs to buy abut 25.12 feet of fencing.
To find amount of fencing we find the circumference of semicircle
Circumference of semicircle =
Where d is the diameter of the circle
d= 16 given and value of pi is 3.14
Circumference of semicircle =
=25.12 + 16 = 41.12 feet
Scott's calculation was wrong because he forgot to add the diameter d
Circumference of circle is half way of circle plus the diameter of circle.
Correct amount of fencing = 41.12 feet
To find the slope, use the slope(m) formula:
and plug in the two points
(0, 5) = (x₁, y₁)
(-9, -4) = (x₂, y₂)
[two negatives cancel each other out and become positive]
m = 1 The slope is 1
Answer:
Step-by-step explanation:
If an exponential function is in the form of y = a(b)ˣ,
a = Initial quantity
b = Growth factor
x = Duration
Condition for exponential growth → b > 1
Condition for exponential decay → 0 < b < 1
Now we ca apply this condition in the given functions,
1).
Here, (1 + 0.45) = 1.45 > 1
Therefore, It's an exponential growth.
2).
Here, (0.85) is between 0 and 1,
Therefore, it's an exponential decay.
3). y = (1 - 0.03)ˣ + 4
Here, (1 - 0.03) = 0.97
And 0 < 0.97 < 1
Therefore, It's an exponential decay.
4). y = 0.5(1.2)ˣ + 2
Here, 1.2 > 1
Therefore, it's an exponential growth.