Distribute on the left
3x-15=7x
Subtract 3x from both sides
-15= 4x
Divide both sides by 4
-15/4= x
Final answer: x=-15/4 or -3.75
Answer:
they are parallel, aka "A"
Step-by-step explanation:
the lines (NOT line segments) never ever cross or meet eachother so they must be paralell
Answer:
y = 1/4x - 7/2
Step-by-step explanation:
To answer this question, we have to use point-slope form:
y - y1 = m(x - x1)
Substitute the numbers into the variables:
y - (-4) = 1/4(x - (-2))
y + 4 = 1/4(x + 2)
y + 4 = 1/4x + 1/2
y = 1/4x - 7/2
To verify your answer, simply substitute the values into your equation:
-4 = 1/4(-2) - 7/2
-4 = -1/2 - 7/2
-4 = -8/2
-4 = -4
Answer:
x+7=14
x=7
(7)+7=14
Step-by-step explanation:
Answer:
(a) (4,9), (8,14).; (b) 1.25 in/h; (c) d = 1.25h + 4
; (d) 4 in; (e) 19 in
Step-by-step explanation:
(a) Information as coordinate pairs
4 h, 9 in ⟶ (4, 9)
8 h, 14 in ⟶ (8,14)
The coordinates of the two points are (4,9), (8,14).
(b) Slope of the line

The slope of the line is 1.25 in/h
(c) Equation of the line

The y intercept is at (0,4)
d = 1.25h + 4
(d) Depth when snowfall began

The depth was 4 in when the snowfall began.
(e) Depth after 12 h

The depth would be 19 in after 12 h.
The figure below is a graph of your function. It shows that the depth was 4 in at the start of the snowfall, that it increases by 5 in every 4 h, and predicts a depth of 19 in after 12 h.