Bryan took a taxi home from the opera. The taxi fare was $2.50 per mile, and he gave the driver a tip of $3. Bryan paid a total
2 answers:
Answer:
There are 13 miles between the opera house and Bryan's home.
Step-by-step explanation:
The equation can be used to find the distance in miles (x) between the opera house and Bryan's home.
We will solve this to get the value of x.
=>
=>
we get x = 13
Hence, there are 13 miles between the opera house and Bryan's home.
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Answer:
<u>y = -x² + 4</u>
Step-by-step explanation:
The equation of the parabola in the vertex form is:
y = a (x-h)² + k
Where: (h,k) the coordinates of the vertex & a is a multiplier
The parabola has a vertex at ( 0,4 )
So, h = 0 , k = 4
∴ y = a (x-0)² + 4
∴ y = a x² + 4
The parabola passes through points ( 2,0 )
∴ 0 = a 2² + 4
∴ 4 a = -4 ⇒ a = -4/4 = -1
∴ y = -x² + 4
So, the equation of a parabola that has a vertex at ( 0,4 ) and passes through points ( 2,0 ) is <u>y = -x² + 4</u>
See the attached figure.
