A) f(x) is decreasing because the base is less than 1.
0.56 is close to 0.5, so its like saying that you are taking half each time, therefore the value is getting smaller.
g(x) is increasing because the base is greater than 1.
you are multiplying by 4 each time, making the value bigger.
B ) The y-intercept is where x=0.
Anything to the '0' power is 1. Therefore the y-intercept is equal to the coefficient in front of each function.
f(x) = 3 , g(x) = 6
C) Just plug in x=4 to each function in a calculator.
f(4) = 0.295
g(4) = 1536
Simplify \frac{5}{3}x35x to \frac{5x}{3}35x
x-\frac{5x}{3}<3x−35x<3
2
Simplify x-\frac{5x}{3}x−35x to -\frac{2x}{3}−32x
-\frac{2x}{3}<3−32x<3
3
Multiply both sides by 33
-2x<3\times 3−2x<3×3
4
Simplify 3\times 33×3 to 99
-2x<9−2x<9
5
Divide both sides by -2−2
x>-\frac{9}{2}x>−29
Answer:
false
Step-by-step explanation:
Answer:
Step-by-step explanation:
Let the distance travelled by bus be x and the distance travelled be bike be (x+75)
Finally
x + (x+75) = 325
2x = 250
x= 125
Answer:
D) y = 27 · (3)^x
Step-by-step explanation:
Replace x with the x values.
27 · (3)^-2 = 27 · 1/9 = 3
27 · (3)^-1 = 27 · 1/3 = 9
27 · (3)^0 = 27 · 1 = 27
27 · (3)^1 = 27 · 3 = 81
17 · (3)^2 = 27 · 9 = 243
D is your answer.
Hope this helps