Which are true of the function f(x)=49(1/7)^x
2 answers:
Answer:
The correct options are 1, 4 and 5.
Step-by-step explanation:
The general form of an exponential function is
where, a is initial value and b is growth factor.
Domain of this function is all real numbers. If a>0, then range is all positive numbers.
The given function is
where, a =49 and b=1/7.
It is an exponential function. So, the domain is the set of all real numbers.
Since, a=49 which is a positive value, therefore the range is y>0.
The value of b is 1/7, it means as x increased by 1, each y-value is one seventh of the previous y-value.
Therefore, the correct options are 1, 4 and 5.
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ANSWER
x=12, y=10
EXPLANATION
The diagonals of a parallelogram bisect each other.
This implies that;
AE=EC
Also, DE=EB;
Put equation (2) in (1).
Expand;
Put x=2, into equation (2).
Answer:
= 8n - 11
Step-by-step explanation:
There is a common difference between consecutive terms in the sequence, that is
5 - (- 3) = 13 - 5 = 21 - 13 = 8
This indicates the sequence is arithmetic with n th term
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = - 3 and d = 8 , thus
= - 3 + 8(n - 1) = - 3 + 8n - 8 = 8n - 11 ← note this is the second option, that is
f(n) = - 3 + 8(n - 1)