Provide an Appropriate Response $c$ Does the Quadratic Function $f ( x ) = 3 x ^ { 2 } + 8 x + c$

question 14

Multiple Choice

Provide an appropriate response.
-For what value of $c$ does the quadratic function $f ( x ) = 3 x ^ { 2 } + 8 x + c$ have exactly one $x$ -intercept?

• A) 16
• B) \(- \frac { 2 } { 3 }\)
• C) \(\frac { 16 } { 3 }\)
• D) \(\frac { 2 } { 3 }\)

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Definitions:

Interphalangeal

Pertaining to the joints between the phalanges, the bones in the fingers and toes.

Metacarpophalangeal

Refers to the joints between the metacarpal bones and the phalanges (fingers) of the hands, supporting movement such as bending.

Tibiotalar

Referring to the joint formed between the tibia (shinbone) and the talus (ankle bone), crucial for ankle movement.

Tarsometatarsal

Referring to the joint connections between the tarsal bones of the foot and the metatarsal bones of the forefoot.