The function f(x)=-3x³+x²+2x rises as x grows very large. a. true b. false

B. False ( It becomes negative with positive large numbers and positive with negative numbers)

Step-by-step explanation:

f(x)=-3x³+x²+2x

for x= 8

f(x)=-3(8)³+(8)²+2(8)

f(x)= -1536+64+16=- 1452

the balance is found at the link

step-by-step explanation:

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).