Answer:
Step-by-step explanation:
3^x = 729
log(3^x) = log(729)
xlog(3) = log(729)
x = log(729)/log(3)
x = 6
Answer:
Option (C) and (D)
Step-by-step explanation:
Given piecewise function is,
f(x) = 2x, x < 1
5, x = 1
, x > 1
Option (A),
x = 5 means x > 1
So the function will be,
f(x) =
f(5) = (5)²
= 25
Therefore, f(5) = 1 is not correct.
Option (B),
x = -2 means x < 1
f(x) = 2x will be applicable.
f(-2) = 2(-2) = -4
Therefore, f(-2) = 4 is not correct.
Option (C)
For x = 1,
f(1) = 5
Therefore, f(1) = 5 is the correct option.
Option (D)
x = 2 means x > 1 and the function defined will be,
f(x) = x²
f(2) = 2²
= 4
Therefore, f(2) = 4 will be the correct option.
Options (C) and (D) will be the answer.
Answer:
84.95 with 15% : 102.87
84.95 with 20% tip: 107.34
125 with 15% tip: 143.75
125 with 20% tip: 150
12.45 with 15% tip: 14.38
12.45 with 20% tip: 14.94
Step-by-step explanation:
Take value on the vertical column and multiply it by either 1.15 or 1.2
Answer:
It will take 8 minutes for the temperature to reach 76°
Step-by-step explanation:
The expression for the total temperature in degrees at time t can be written as;
T=I+EM
where;
T=total temperature
I=initial temperature
E=temperature increase per minute
M=number of minutes
This can also be written as;
total temperature=initial temperature+temperature increase per minute×number of minutes
In our case;
T=76°
I=40°
E=4.5°
M=m
replacing;
76=40+(4.5×m)
4.5 m=76-40=36
(4.5 m)/4.5=36/4.5
m=8
It will take 8 minutes for the temperature to reach 76°
