Answer:
1.25
Step-by-step explanation:
to find the unit rate you have to find out how much one pound will be so you divide 15 by 12 and you get 1.25
Answer:
x=4/21
Step-by-step explanation:
2x+4=23x
-2x -2x
4=21x
4/21=x
Answer:a and b
Step-by-step explanation:
Answer:
y = (3/2)x + 8
Step-by-step explanation:
Hi
First let's find the slope of the given line by converting to slope-intercept form:-
2x + 3y = 9
3y = -2x + 9
y = (-2/3)x + 3
From this we see that the slope is -2/3.
The slope of a line perpendicular to this one will be - 1 / (-2/3)
= 3/2. ( because for a line and its perpendicular, the slopes' product = -1).
Using the point-slope form to find the equation of this line
y - y1 = m(x - x1). Here m = slope and (x1, y1) is a point on the line.
Plugging in the given values , m = 3/2 , x1 = -2 and y1 = 5:-
y - 5 = 3/2 (x - -2)
y - 5 = 3/2x + 3
y = (3/2)x + 8 which is the equation in slope-intercept form.
Answer:
(-1, -2) will be the solution.
Step-by-step explanation:
System of equations has been given as,
y = 3x + 1 ---------(1)
Input-output value table for the given line will be,
x -2 -1 0 1
y -5 -2 1 4
y = -x - 3 ----------(2)
Input-output value table for the given line will be,
x -2 -1 0 1
y -1 -2 -3 -4
By plotting the given coordinates we can draw the straight lines.
And the point of intersection (common point) of these lines will be the solution of the given system of equations.
Hence, (-1, -2) will be the solution.