If you solve the equation to get the equation y=mx+b then 2x+5y=10 equals to
y=(-2x-10)/5 . If you use a graphing calculator and type that into y= it should graph it for you going through coordinates (-3,4) , (0,-2) , (3,-8) and so forth
6 acts as the base. 15 acts as the height, because it extends from the base to meet vertex opposite the base at a 90° angle.
General formula for triangle area
a = 1/2 × b × h
plug in the numbers
a = 1/2 × 6 × 15
a = 90/2
a = 45
The area of the triangle is 45 units²
The different is that 21 is going ALL the way down to 21 while 4 is only going to 4..
A function f(x) has solutions if we can find a value to plug in that leads to 0. In other words, there are solutions to f(x) = 0. Another term for "solution" is "root" or "x intercept"
An exponential function may cross the x axis at one point only. Though there are plenty of cases when there are no solutions at all. For instance, in the case of f(x) = (2^x) + 10
The right hand side will never be equal to zero no matter what you plug in for x. The graph will never cross the axis.
To answer your question, yes it is possible to have an exponential equation to have no solutions.
