Answer:
Step-by-step explanation:
<u>Exponential function:</u>
<u>Ordered pairs given:</u>
<u>Substitute x and y values to get below system:</u>
<u>Divide the second equation by the first one and solve for b:</u>
- 80/10 = b³
- b³ = 8
- b = ∛8
- b = 2
<u>Use the first equation and find the value of a:</u>
<u>The function is:</u>
1)
-2(3x+4)=-6x-8≠-6x+8
2)
2(-3x+4)=-6x+8
3)
5(x+1)-11x+3=5x+5-11x+3=-6x+8
4)
x+2-7x+6=-6x+8
5)
8-6x=-6x+8
Answer: The expressions 2,3,4 and 5 are equivalents.
The inverse is f¯¹(x)=x/7.
19+x/2=4
multiply 2 on both sides
19+x=4 times 2
19+x=8
subtract 19 on each side
x=8-19
subtract
x=-11
X = 7 / sin(45)
x = 7 / sqrt(2)/2
x = 7 sqrt(2)
