<span>2 log 3(x-1)=log(4 x 2-25)
1. Determine the domain. Since the input to the log function cannot be zero or negative, 4x^2-25 must be </span>≥ 0. Thus, x^2 must be >0, or x>0. Same domain applies to log (3(x-1); x must be > 0.
2. Rewrite <span>2 log 3(x-1) as log 3(x-1)^2.
3. Then we have </span>log 3(x-1)^2 = log(4 x 2-25). We can discard the operator "log" from both sides: 3(x-1)^2 = 4 x 2-25. There are various ways in which to solve this. Since you're supposed to "use technology,"
graph y = 3(x-1)^2 and y = 4x^2 - 25 on the same set of axes. Determine, using visual estimation or your calculator's tools, the value or values of x that satisfy this equation. My result was x=3, y =11.
Answer:
f(x) for x = -1 is -1+6= 5
f(x) for x = 3 is -3+6= 3
f(x) for x = 5 is -5+6= 1
Hey there!
Your question states:
<span>John's monthly paycheck consists of $4000 plus a 9% commission on all of his sales. During one month, John earned $11,650. What were his sales during that month?
</span>
We don't want to 9% to really trick us.
We just do 11,650 - 4,000 = 7,650.
Now, we can adjust everything.
That
9% of the commission on the sales was worth
. . . 7,650
Your correct and clarified answer would be
. . .
Hope this helps.
~Jurgen
Answer:
The tax itself is $19.25.
Step-by-step explanation:
0.06 * 320.90 = 19.254
If you want the cost + tax, it is 320.90 + 19.25 = 340.15
X is less than or equal to -3
explanation
first, i added 6x to both sides
next, i subtracted 25 from both sides
then i divided by 14 and got -3