Answer:
c = 58x
Step-by-step explanation:
A linear equation is an equation in the form of f(x) = mx + c. Where m is the slope and c is the intercept.
Let the price of one guitar lessons be x, then 47guitars will be 47x and 11 guitar lessons will be 11x. All together will be 47x + 11x = 58x.
Thus, the total cost, c, is
c = 58x
I. Multiply the first function by the second one.
f(x)*g(x) = (x^2+3x-4)*(x+4) = x^3 + 3x^2 - 4x + 4x^2 + 12x -16 = x^3 +7x^2 + 8x - 16.
The domain of this new function is the set of all real numbers (R). Other notation: from minus infinity to plus infinity. We came to this conclusion because the new function poses no restrictions; regardless of which x-value you take, you will get the appropriate y-value.
II. f(x)/g(x) = (x^2+3x-4)/(x+4) =
Ask yourself: which two numbers add up to 3 and multiply to -4? It's -1 and 4. Now we can represent f(x) as (x-1)(x+4).
Since we're dividing these 2 brackets by g(x)=x+4, we may now cancel (x+4). All that's left is x-1.
The domain here is the same as in the previous task - it is R.
Answer:
The least common mutible for 47,26, and 7 is "8554".
Subtract 5x to both sides
To find the perimeter of a rectangle, add the lengths of the rectangle's four sides. If you have only the width and the height, then you can easily find all four sides (two sides are each equal to the height and the other two sides are equal to the width). Multiply both the height and width by two and add the results.