Answer:
Step-by-step explanation:
a=10 (4,0,2,4,3,1,2,3,1,4)
b=4 (7,5,6,9)
c=6 (13,13,13,10,13,12)
d= 5 (17,16,17,17,16)
e=6 (21,23,20,20,21,23)
7 2/9 < 7.228 < 29/4 < 7.60
Answer: option B. it has the highest y-intercept.
Explanation:
1) point -slope equation of the line
y - y₁ = m (x - x₁)
2) Replace (x₁, y₁) with the point (5,3):
y - 5 = m (x - 3)
3) Expand using distributive property and simplify:
y - 5 = mx - 3m ⇒ y = mx + 5 - 3m
4) Compare with the slope-intercept equation of the line: y = mx + b, where m is the slope and b is the y-intercept
⇒ slope = m
⇒ b = 5 - 3m = y - intercept.
Therefore, for the same point (5,3), the greater m (the slope of the line) the less b (the y-intercept); and the smaller m (the slope) the greater the y - intercept.
Then, the conclusion is: the linear function with the smallest slope has the highest y-intercept (option B).
Answer:
Step-by-step explanation:
Here, the given expression is:
Now, by logarithm rules, we know
if 
, then x =
Comparing here, b = 10 and z = 2
⇒ y = 
or,
Answer:
C. 15
Step-by-step explanation:
-4/3x-6=-26
The first step is to add 6 to each side
-4/3x-6+6=-26+6
-4/3x =-20
Now multiply by -3/4 to isolate x.
-3/4 * -4/3x = -3/4 * -20
x = 60/4
x = 15
