
the equation is a quadratic one, and it has a positive coefficient on the leading term, meaning, is opening upwards, so it has a "burrow" for the vertex.
the minimum or lowest point for a quadratic opening upwards is, well, the vertex point :), the "x" value is the year, the "y" or f(x) value is the population, we're asked for the year, or the x-coordinate of the vertex
well
Answer:
B
Step-by-step explanation:
using the tangent ratio on the triangle on the right and the exact value
tan60° =
, then letting the altitude be h
tan60° =
=
=
( multiply both sides by h )
11
= h ×
( divide both sides by
)
11
= h
using the sine ratio in the triangle on the left and the exact value
sin45° =
, then
sin45° =
=
=
=
( cross- multiply )
× x = 22
( divide both sides by
)
x = 22
Answer:
addition property
Step-by-step explanation:
See attached image.
7.5% is 3/40. The equation is y=15250(1-3/40)ˣ=15250(37/40)ˣ.
When x=8 this becomes $8173.42.
Answer:
x = 4√7
Step-by-step explanation:
You can use the pythagorean theorem which is a² + b² = c²
if you plug it in, it would be...
x² + 12² = 16²
x² + 144 = 256, subtract 144 to both sides
x² = 112, square root both sides to make x by itself.
x = 4√7