Lf f(x) = -4x^2- 6x-1 and g(x) = -x^2 - 5x + 3, find (f- g)(x).

(f - g)(x) = 5x² - x - 4

Step-by-step explanation:

(f - g)(x)

= f(x) - g(x)

= 4x² - 6x - 1 - (- x² - 5x + 3) ← distribute parenthesis by - 1

= 4x² - 6x - 1 + x² + 5x - 3 ← collect like terms

= 5x² - x - 4

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step-by-step explanation:

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p ÷ r = tan(x)

step-by-step explanation:

given that there is a figure below shows a right triangle: a right triangle is shown with hypotenuse equal to q units and the length of the legs equal to p units and r units.

graph is missing so i will create the graph as per given information.

the angle between the legs having lengths p units and q units is y degrees. the angle between the legs having lengths r units and q units is x degrees.

now we need to find about what is p ÷ r equal to.

so we can use trigonometric ratio tan(x)=[altitude]/[base] to find the value of p ÷ r, because p is the altitude and r is the base.

p ÷ r=tan(x)

hence final answer is p ÷ r=tan(x).