Given the function f
(
x
)
=
x
3
+
9
x
2
+
19
x
+
2
f(x)=x
3
+9x
2
+19x+2, determine all coordinate points
(
x
,
y
)
(x, y) on the graph of
f
f such that the line tangent to
f
f at
(
x
,
y
)
(x, y) has a slope of
−
5.
−5.

Jamie went to home depot.she bought 25 bags of soil that cost $9 per bag.she bought 15 pots at $8 each, and she bought 23 bags of pebbles at $15 each.she used a coupon that gave her $5 off for every 100 dollars she spent. how much did jamie pay at the end?

Offering 30 if a plus b plus c equals 68 and ab plus bc plus ca equals 1121, where a, b, and c are all prime numbers, find the value of abc. the answer is 1978 but i need an explanation on how to get that.

In the diagram, gef and hef are congruent. what is the value of x