Answer:
f(x) = -5x + 16
Step-by-step explanation:
Slope-Intercept Form: y = mx + b
m - slope
b - y-intercept
Step 1: Define
y + 5x = 16
Step 2: Put into slope-intercept form
- Subtract 5x on both sides; y = -5x + 16
Step 3: Rewrite in function notation
f(x) = -5x + 16
Both sides are identical.
Answer:
0.25
Step-by-step explanation:
Prime outcomes on a die: 2,3,5
P(prime) = 3/6 = 1/2
Even outcom: 2,4,6
P(even) = 3/6 = 1/2
P(prime & even)
= P(prime) × P(even)
= ½ × ½
= ¼ or 0.25
Answer:
97
Step-by-step explanation:
Given the following conditions :
board measuring 1x100, each square is numbered from 1 to 100
Three colors are used to paint the squares from left to right in the sequence :
one blue, two reds and three green squares in a repeated pattern.
What is the highest numbered square that is painted blue?
The sequence of painting is repeated after :
(1 + 2 + 3) = 6 successive squares
Since the number of squares = 100
Maximum complete repetition possible :
100 / 6 = 16 remainder 4
Hence 16 * 6 = 96 (the highest complete sequence terminates on the square numbered 96)
On the 97th square, another sequence begins which is a blue and the 100th square is painted the first of the 3 green colors.
Hence, the highest numbered square that is painted blue is 97
