Answer:
y = 4x+23
Step-by-step explanation:
The slope intercept form of a line is
y = mx+b where m is the slope and b is the y intercept
y = 4x+b
Substitute the point into the equation
7 = 4(-4)+b
7 = -16+b
Add 16 to each side
7+16 = b
23 = b
y = 4x+23
Question:
Fill in the blank.
23 x 6 = (20 + 3) * 6
23 x 6 = _ + (3x6)
Options
20 * 6
20 * 3
20 * 5
Answer:
20 * 6
Step-by-step explanation:
Given
Expression 1: 23 * 6 = (20 + 3) * 6
Expression 2: 23 * 6 = __ + (3 * 6)
Required
Fill in the blank
From Expression 1
23 * 6 = (20 + 3)*6
Using Distributive Property; The expression becomes
23 * 6 = 20 * 6 + 3 * 6
23 * 6 = (20 * 6) + (3 * 6)
By Comparing this with expression 2
23 * 6 = __ + (3 * 6)
The blank position is occupied by 20 * 6.
Hence, the correct option that fills the missing blank correctly is 20 * 6
Answer:
Step-by-step explanation:
The equation y = 5x - 2 is slope-intercept form of linear function.
- The shape of the graph is the line
It has positive slope of 5, therefore is increasing function, the line goes up from left to right on the coordinate plane
Let us assume as at when they meet, the time elapsed is x hours.
Fred 3 mi/h
John 2 mi/h
Distance = speed * time
Fred = 3x
John = 2x
Houses are 4miles apart.
So: 3x + 2x = 4 5x = 4
x = 4/5 hour = 0.8 hour or 0.8*60 = 48 minutes
Time elapsed is 0.8 hour or 48 minutes.
