Answer:
Step-by-step explanation:
1) False: The function is decreasing (because the base, 1/3, is between 0 and 1).
2) True: The function is decreasing (see #1, above)
3) False: There is no x-intercept.
4) True: If x is 0, then y = (1/3)^0 = 1.
5) False: the range consists of the set of all real numbers greater than zero.
Answer:
y = -4/5x + 2/5
Step-by-step explanation:
Slope form of an equation is y = mx + b
Sub in x and y coordinates and slope then isolate for b
-2 = -4/5(3) + b
-2 = -12/5 + b
-2 + 12/5 = b
b = -10/5 + 12/5
b = 2/5
Sub in b and the slope into the slope form equation
y = (-4/5)x + 2/5
For this question, you must use the Pythagorean theorem.
a^2 + b^2 = c^2
In this situation c=16 and a=6
First do 16^2. This equals 256
Second do 6^2. This equals 36
Now, subtract 36 from 256 and fond the square root.
Your answer should be 14.8
Answer:
y=1/2x+8
Step-by-step explanation:
y=mx+c
gradient will stay the same = 1/2
y=1/2x+c
5= 1/2(-6)+c
5=-3+c
+3 on both sides
8=c
y=1/2x+8 will be parallel to y=1/2x-7
