If we can match teh bases we can solve
because if x=x and xᵃ=xᵇ, we can conclude that a=b
16=2⁴
32=2⁵
rememeber that
![(x^m)^n=x^{mn}](https://tex.z-dn.net/?f=%28x%5Em%29%5En%3Dx%5E%7Bmn%7D)
![16^{3x+2}=32^{-2x-7}](https://tex.z-dn.net/?f=16%5E%7B3x%2B2%7D%3D32%5E%7B-2x-7%7D)
![(2^4)^{3x+2}=(2^5)^{-2x-7}](https://tex.z-dn.net/?f=%282%5E4%29%5E%7B3x%2B2%7D%3D%282%5E5%29%5E%7B-2x-7%7D)
![2^{4(3x+2)}=2^{5(-2x-7)}](https://tex.z-dn.net/?f=2%5E%7B4%283x%2B2%29%7D%3D2%5E%7B5%28-2x-7%29%7D)
2=2 so we conclude that 4(3x+2)=5(-2x-7)
4(3x+2)=5(-2x-7)
expand/distribute
12x+8=-10x-35
add 10x both sides
22x+8=-35
minus 8 both sides
22x=-43
divide both sides by 22
x=-43/22
Answer:
B: 2⁷-1 = 127
Step-by-step explanation:
A Mersenne prime is a prime of the form 2^n -1, where n is also a prime.
Among the answer choices, neither 90=2·3²·5 nor 15=3·5 is prime. Both 2⁷-1 = 127 and 2¹¹-1 = 2047 are of the right form, but 2047 = 23·89 is a composite number.
2⁷-1 = 127 is a Mersenne prime
Answer:
1st option is the answer
Step-by-step explanation:
blue line: slope is 1 and y-intercept is 1; therefore equation is y= x + 1
red line: slope is -1 and y-intercept is -3; therefore equation is y= -x - 3
14 degrees. It equals half the intercepted arc.
(See attached graphic)
Answer:
The last one
Step-by-step explanation:
f(2) = 4x-5 = 3
f(-4) = 4x - 5 = -21
F(2) has a greater value than f(-4)