Answer:
Given system of equations:
To solve by substitution, equate the equations and solve for x:
Therefore, the x-values of the solution are 
and 
.
To find the y-values of the solution, substitute the found values of x into the functions:
Therefore, the solutions to the given system of equations are:
and 
Answer:
Step-by-step explanation:
The given function is 
.
If an exponential function is of the form; 
, then 
will vertically shrink the base function 
and 
will vertically stretch the graph by 
units.
The correct answer is B.
The answer is D (the last answer choice)
I think it would be D that’s what I think
To find the gradient of the tangent, we must first differentiate the function.
The gradient at x = 0 is given by evaluating f'(0).
The derivative of the function at this point is negative, which tells us <em>the function is decreasing at that point</em>.
The tangent to the line is a straight line, so we will have a linear equation of the form y = mx + c. We know the gradient, m, is equal to -1, so
Now we need to substitute a point on the tangent into this equation to find c. We know a point when x = 0 lies on here. To find the y-coordinate of this point we need to evaluate f(0).
So the point (0, -1) lies on the tangent. Substituting into the tangent equation:
