Answer:
A
Step-by-step explanation:
Here, we want to write the final formula for the equation after performing the given transformations
Reflection on the y-axis means the x-axis value will change sign
that will give:
y = -x^1/3
Transition of 3 units in the positive x axis
mathematically, we are adding 3 to x
so we have
y = -(x+3)^1/3
4 units in the negative y direction means we are subtracting 4 from the whole equation
That means;
y = -(x + 3)^1/3 - 4
This shows that the first option is right
Answer:
f(3) ≈ 17.310
Step-by-step explanation:
e = 2.71828
Step 1: Define
f(x) = e2x - 1 + 2
x = 3
Step 2: Substitute and evaluate
f(3) = e2(3) - 1 + 2
f(3) = 6e + 1
f(3) = 16.3097 + 1
f(3) = 17.3097
f(3) ≈ 17.310
Let 2x – y = 3 ——— equation 1
Let x + 5y = 14 ——— equation 2
Making x the subject in eqn 1, = x = y + 3 / 2 ——— eqn 3
• Put eqn 3 in eqn 2
(y + 3 / 2) + 5y = 14
6y = 14 – 3/2
6y = 25/2
y = 25/12
• put y = 25/12 in eqn 3
x = (25/12 + 3/2)
x = 43/12
Answer:
The rule is "add 5, add 10, add 20" and the rule keeps doubling.
Answer:
D
Step-by-step explanation:
the n th term ( explicit formula ) of a geometric sequence is
• 
= 
where r is the common ratio and the first term
here r = 
= 
= 
and = 64, hence
= 64
→ D
