Answer:
see explanation
Step-by-step explanation:
Using the rule of logarithms
•
x = n ⇔ x = 
Hence
with b = 4 and n = - 2
= - 2, then
=
← in exponential form
Answer:
D) 2/3
Step-by-step explanation:
Constant of proportionality formula:
k = y/x
8/12 = 2/3
10/15 = 2/3
12/18 = 2/3
14/21 = 2/3
Answer:


Step-by-step explanation:
to figure out b we can consider the following formula:

the form of vertex coordinate given by

so according to the question

by order pair we obtain:

now substitute the value of h and a to the formula:

simplify multiplication:

cross multiplication:

divide both sides by -1:

now we need to figure out C to do so substitute -7 for x and -5 for y which yields:

simplify square:

simplify multiplication:

simplify addition:

cancel 49 from both sides:

hence,