Answer:
2144.7 inches³
Step-by-step explanation:
use formula for calculating volume of sphere which is 4/3×π×r3
since diameter is 16 inches we divide it by 2 to get the radius
Answer:
see explanation
Step-by-step explanation:
Given the 2 equations
2x + 3y = 10 → (1)
x + y = 7 → (2)
Multiplying (2) by - 3 and adding to (1) will eliminate y
- 3x - 3y = - 21 → (3)
Add (1) and (3) term by term to eliminate y, that is
- x = - 11 ( multiply both sides by - 1 )
x = 11
Substitute x = 11 into either of the 2 equations and evaluate for y
Substituting into (2)
11 + y = 7 ( subtract 11 from both sides )
y = - 4
Solution is (11, - 4 )
The simplified version of that would be 4x^3 + 10x +3.
Sorry if this was wrong but hope it’s right!
Answer:
<h3>
f(x) = -²/₄₉(x - 2)² + 4</h3>
Step-by-step explanation:
The vertex form of an equation of the parabola:
f(x) = a(x - p)² + q
vertex is (2, 4) so p = 2, q = 4
so:
f(x) = a(x - 2)² + 4
the parabola goes through the point (-5, 2) so x=-5, f(x)=2
2 = a(-5-2)² + 4
- 2 = a(49)
a = -²/₄₉
Therefore the equation of the parabola in vertex form:
f(x) = -²/₄₉(x - 2)² + 4
