Answer:
Step-by-step explanation:
Expand the brackets by multiplying each term in the bracket by the expression outside the bracket:
⇒
Gather like terms and combine:
⇒
⇒
Add 14 to each side of the equation:
⇒
⇒
Divide both sides by 8:
⇒
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Answer:
Part 1) The graphs open downward
Part 2) The vertex is the point (-2,5)
Part 3) The axis of symmetry is x=-2
Step-by-step explanation:
step 1
we have
This is a vertical parabola open downward (because the leading coefficient is negative)
The vertex is a maximum
step 2
The quadratic equation is written in vertex form
where
(h,k) is the vertex
so
In this problem
The vertex is the point (-2,5)
step 3
The equation of the axis of symmetry of a vertical parabola is equal to the x-coordinate of the vertex
The x-coordinate of the vertex is -2
therefore
The axis of symmetry is x=-2
Answer:
He played 7 arcade games.
Step-by-step explanation:
The amount paid in relation to the number of games played can be modeled by a linear function in the following format:
In which F is the flat rate and g is the price of each game.
Flat fee of $30 but he had to pay $2 for each arcade game he played.
This means that
So
Jason spent $44. How many arcade games did he play?
This is n for which A(n) = 44. So
He played 7 arcade games.