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Algebra
Pregunta

1. For the graph of \( y = - 27 ( x - 28 ) ^ { 2 }...

1. For the graph of \( y = - 27 ( x - 28 ) ^ { 2 } - 30 \) , what is the vertex? 2. Find the solution set of the following inequality in interval notation \( x ^ { 2 } + 5 x + 4 \leq 0 \) 

3. The quadratic function \( S ( t ) = - 16 t ^ { 2 } + 35 t + 12 \) models an object's height above the ground, \( S ( t ) \) , in feet, \( t \) seconds after it has been thrown upwards. After how many seconds does the object reach its maximum height? Round the answer to the nearest hundredths. Don't forget units. 

Answer

1. \( y = - 27 ( \gamma - 28 ) ^ { 2 } - 30 \) 

vertex: \( ( 28 , - 30 )\) 

2. \( x ^ { 2 } + 5 x + 4 \leq 0 \) 

\( ( x + 4 ) ( x + 1 ) \leq 0\) from the picture: \( \gamma \in [ - 4 , - 1 ]\) 

3. when \( t = - \frac { b } { 2 a } = - \frac { 35 } { - 16 \times 2 } = 1.09 \) seconds 

after \( 1.09 \) seconds 

4. for \( x y = k \) then: \( 72 \times 4 = 12 = 288\) 

\(r \times 32 = 288 : x = 9\)

Solución
View full explanation on CameraMath App.