42 more than half a number is the same as four times the number. What is the number?
1 answer:
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Answer:
y = x
Step-by-step explanation:
slope-intercept form: y = mx + b
Given: slope(m) = , point (4, -3)
We already have the value of m, but we need to find the value of b. To do this, input the given values of the slope and the point into the equation:
-3 = (4) + b
Solve for b:
-3 = (4) + b
-3 = -3 + b
0 = b
The value of b is zero. We can now write the equation:
y = x + 0
y = x
The equation written in slope-intercept form is: y = x
Step-by-step explanation:
Putting both functions into a graphing calculator, we can easily find the domain and range. (attatched)
By looking at the graph, we can tell that f(x) is a quadratic function because of the symmetry. We can also tell that it never goes below 4. Knowing this, we can determine the domain and range.
Domain: {x | all real numbers}
Range: {y | y > 4}
By looking at the graph, we can tell that g(x) is an exponential function because it has a curve, and never goes below the x. Knowing this, we can determine the domain and range.
Domain: {x | all real numbers}
Range: {y | y > 0}
