Answer:
-0.34772
Step-by-step explanation:
One way of doing this problem is to change the base from 5 to 10.
Use the change of base formula:
log x
log x = ------------
5 log 5
so:
log (4/7) log 4 - log 7
log (4/7) = --------------- = ---------------------
5 log 5 log 5
Note that "log x" above is the common logarithm of x and is to the base 10.
Continuing, we get:
0.60206 - 0.84510 -0.24304
---------------------------- = --------------------- = -0.34772 (This corresponds to
0.69897 0.69897 the second given
answer choice.)
Answer:
b –0.3477
Step-by-step explanation:
Answer:
3 for problem
Step-by-step explanation:
B)2.5
C)-0.5
D)-2.5
Answer:
B)2.5
Step-by-step explanation:
When x = 3 the actual = 6
Residual = actual - predicted = 6 - 3.5 = 2.5
Answer:
167
Step-by-step explanation:
-3x - 10 > 14
————————
X< -8
Answer choices: A: -3x>24 B:-3x>4 C: -3x> -4 D: -3x<24
Answer:
A: -3x > 24
Step-by-step explanation:
The missing step above is the result of adding 10 to both sides of the inequality.
____
Comment on the solution of this inequality
The solution shown is correct and gives correct results, but it requires that you divide by a negative number. That division can be by a positive number if the first step is to add x to both sides. Then the second step is to subtract 14 and you get ...
-24 > 3x
Division by a negative number is not required, and the direction of the inequality stays the same:
-8 > x
Further comment on the solution
Using left-pointing inequality symbols (< or ≤) arranges the left-right order of the operands the same way they are arranged on the number line. That is, for the solution to this inequality, all of the values of x are to the left of -8 on the number line. Writing the inequality in the form ...
x < -8
can help you see that. A bit of mental gymnastics is required when the inequality is written ...
-8 > x
and you want to graph or choose values of x that match this result. Of course, once you have -8>x, you can easily swap sides to make it x<-8.
A: -3x>24
The working is shown