Answer:
x = - 5
Step-by-step explanation:
Given
- 8x + 32 = 4(- 2 - 4x) ← distribute parenthesis on right side
- 8x + 32 = - 8 - 16x ( add 16x to both sides )
8x + 32 = - 8 ( subtract 32 from both sides )
8x = - 40 ( divide both sides by 8 )
x = - 5
9.920 is the answer to your question
Answer:
Step-by-step explanation:
Remember that our original exponential formula was y = a b x. You will notice that in these new growth and decay functions, the b value (growth factor) has been replaced either by (1 + r) or by (1 - r). The growth "rate" (r) is determined as b = 1 + r.
An exponential function of a^x (a>0) is always ln(a)*a^x, as a^x can be rewritten in e^(ln(a)*x). By deriving, the term (ln(a)) gets multiplied with a^x. The derivative shows, that the rate of change is similiar to the function itself. For 0<a<1, ln(a) becomes negative and so is the rate of change.
Linear models are used when a phenomenon is changing at a constant rate, and exponential models are used when a phenomenon is changing in a way that is quick at first, then more slowly, or slow at first and then more quickly.
Answer:
12
Step-by-step explanation:
if each bar is cut into 3 pieces, then we multiply 4 by 3 to get 12.
Answer:
The correct option is the last option d.) y = negative 3 plus-or-minus StartRoot 5 x + seven-halves EndRoot
Step-by-step explanation:
the given equation is 
Therefore we can write 
To find the inverse of the above function let us replace x with y and y with x.
Therefore we get
Now we write the above equation with only y on the Left hand side and we will obtain the inverse of the given function
Therefore the correct option is the last option d.) y = negative 3 plus-or-minus StartRoot 5 x + seven-halves EndRoot , 
