What is the vertex of the absolute value function defined by ƒ(x) = |x + 2| + 4?
2 answers:
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Answer:
- 0.8
Step-by-step explanation:
The first thing we want to do here is simplify the expression -
( 2x + 5 ) - 2x, Distribute the "
" to elements within the parenthesis
=
2x +
5 - 2x, Focus on simplifying the expression "
2x +
5 "
= - 2x
= - 2x, Combine fractions
= + 3
= x + 3
So we have our simplified expression " x + 3, " with
being the coefficient of x. Our requirements are that this fraction should be expressed as a decimal, so we can simply divide the numerator by the denominator to figure that out,
- 4 / 5 = - 0.8,
Solution = - 0.8
Answer:
The volume of the composite figure is approximately 3567.198 cubic feet.
Step-by-step explanation:
The composite figure consists in the combination of a right cone and a cuboid. The volume of the composite (), in cubic feet, figure can be determined by this expression:
(1)
Where:
- Radius of the circle of the right cone, in feet.
- Height of the cone, in feet.
- Width of the cuboid, in feet.
- Height of the cuboid, in feet.
- Length of the cuboid, in feet.
If we know that ,
,
,
and
, then the volume of the composite figure is:
The volume of the composite figure is approximately 3567.198 cubic feet.