<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: 112.5 square units
Step-by-step explanation:
I think:
For the triangle:
1/2base(height) = 1/2(9)(7)= 31.5 sq. Units
For the small rectangle:
Length x width= 3 x 9 = 27 sq. Units
For the larger rectangle:
The length must be 16 - 7 - 3 = 6
So length x width = 6 x 9 = 54 sq units
Now add them together:
31.5 + 27 + 54 = 112.5 square units
Answer:
It's B, the second graph
Step-by-step explanation:
I just did the quiz
Divide 22.2 by 4 since the perimeter is the outside and there are 4 edges