What is the vertex of this quadratic function? f(x) = 10x2 + 5x − 7 a. (0.25, -5.250) b. (0.25, -7.625) c. (-0.25, -5.250) d. (-0.25, -2.525) e. (-0.25, -7.625)

E

Given a quadratic in standard form : y = ax² + bx + c ( a ≠ 0 ), then

The x-coordinate of the vertex is

= -

y = 10x² + 5x - 7 is in standard form

with a = 10, b = 5 and c = - 7, hence

= - = -

Substitute this value into the equation for y-coordinate

y = 10 (- )² + 5 (- ) - 7

  = - - 7

  = - - = -

vertex = (- 0.25, - 7.625 ) → E

b.) 160 miles on a 5 gallons car

step-by-step explanation:

240/10=24 miles/gallon

160/5=32 miles/gallon

30/1=30 miles/gallon

168/6= 28 miles/gallon

32 miles/gallon is the most amount, so this is the best.

hello i am doing good for you that it's summer in your country or state ; )

btw in my country we just have sun and rain as (because i live in the caribbean lol)

also, thx a lot for the points : )