Answer:
1
Step-by-step explanation:
There can be 0, 1 or infinitely many solutions. 0 if they are parallel and are different lines, 1 if the slopes are different, and infinitely many if they are the same line.
2x - 4y = 8
x + y = 7
Change to y = mx + b
y = (1/2)x - 2
y = -x + 7
The slopes are different so there is 1 solution.
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Looking at the question, we can see we have 5 different numbers that can go in any order.
<u>5</u> * <u>4</u> * <u>3</u>
The above is basically saying there are 5 different numbers that can be multiplied by 4 other numbers. Those 2 can be multiplied by 3 different ones, leaving us with a 3 digit positive integer.
5 * 4* 3 = 60
Answer:
The graph is uploaded in the attachment.
The value of x is 2.625.
Step-by-step explanation:
- let us plot f(x), g(x) on y-axis
so, f(x)=y and g(x)=y.
- the first equation can be written as y=5-2x
- the general equation of a straight is y=mx+c
( where m is the slope and c is the y-intercept )
- now comparing given equation with the general equation mentioned above, the slope of first line is -2 and its y-intercept is 5
- the slope of second equation i.e, y=(2/3)x-2 is 2/3 and its y-intercept is -2.
- now plot the graph using above information.
(y-intercept is the the coordinate of a point where the line intersects y-axis)
(slope is the angle made by the line with the x-axis)
- by seeing the graph, the value of x is 2.625.
Answer:
y = 17x +128
Step-by-step explanation:
P1(-8,-8)
P2(-7,9)
Slope,
m = (y2-y1)/(x2-x1) = (9-(-8))/(-8-(-7)) = 17/(-1) = 17
The point-slope equation is
y-y1 = m(x+x1)
y-(-8) = 17(x-(-8))
y+8 = 17x + 136
y = 17x +128