What is the rate of change in y= 2x+3

The Answer is 2

EXPLANATION:

y(x)=2x+3

y(x+Δx)=2(x+Δx)+3

=2x+2Δx+3

Δy=y(x+Δx)−y(x)

=(2x+2Δx+3)−(2x+3)

=2Δx

⇒Δy=2Δx,  Δy/Δx =2

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step-by-step explanatio89

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).