Solve each equation. Check your solution. 1. 2x + 1 = 9
2 answers:
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Answer:
x= -2, y = -3
Step-by-step explanation:
1. substitute x = 4+2y in the first equation:
simplify it :
2. isolate y in 8 + 5y = -7 --> 5y = -7 - 8 -->
3. solve for y: 5y = -15 --> y = -15/5 --> y= -3
4. solve for x: x = 4 + 2y
x = 4 + 2(-3)
x = 4 + (-6)
x = -2
Answer:
infinitely many solutions
Answers:
These are the statements that apply:
The initial value is 3.
The range is y >0.
The simplified base is 8.
Explanation:
1) Given expression:
2) Check every statement:
a) The initial value is 3?
initial value ⇒ x = 0 ⇒
∴ The statement is right.
b) The initial value is 48?
Not, as it was already proved that it is 3.
c) The domain is x > 0?
No, because the domain of the exponential functions is all the Real numbers.
d) The range is y > 0?
That is correct, the exponential function is continuous, and monotonon increasing.
The limit when x → - ∞ is zero, but y never reaches zero, and the limit when x → ∞ is + ∞, meaning that the range is y > 0.
e) The simplified base is 12?
This is how you simplify the base:
Which shows that the simplified base is 8 (not 12).
f) The simplified base is 8?
Yes; this was just proved.