Answer:
The second one
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
Each term has been multiplied by 2/5.
-1/2 * 2/5 = -2/10=-1/5
-1/5 * 2/5 = -2/25
-2/25 * 2/5 = -4/125
-4/125 * 2/5 = -8/625
B.) 2,4,8,16,32 is the geometric series as the common ratio is equal for each step
The exponential function that passes through (0,2) and (3,54) is a growth function
The exponetial function is y = 2 * 3^x
<h3>How to construct the exponential function?</h3>
The points are given as:
(x,y) = (0,2) and (3,54)
An exponential function is represented as:
y = ab^x
Substitute the points in the equation
2 = ab^0 and 54 = ab^3
Solve 2 = ab^0
a = 2
Substitute 2 for a in 54 = ab^3
54 = 2b^3
Divide by 2
27 = b^3
Take the cube roots of both sides
b = 3
So, we have:
y = ab^x
This becomes
y = 2 * 3^x
Hence, the exponetial function is y = 2 * 3^x
Read more about exponential functions at:
brainly.com/question/24077767
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Answer:
B. (x +4)² +(y +5)² = 64
Step-by-step explanation:
The equation for a circle with center (h, k) and radius r is ...
(x -h)² +(y -k)² = r²
Filling in your given values, you have ...
(x -(-4))² +(y -(-5))² = 8²
Simplifying, you get ...
(x +4)² +(y +5)² = 64 . . . . . . . matches choice B
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<em>Additional comment</em>
As you learn more different "standard form" equations, it may be helpful to keep a list, along with reminders of what the variables stand for and how the equation is used.