Find the vertex of f(x)=4x^2+19x+12. Please help, thanks!

Mathematics

1 answer:

pickupchik [31]3 years ago

6 0

Answer:

(-19/8, -9/16)

Step-by-step explanation:

Recall that the vertex of a parabola is situated on the axis of symmetry, which here is

-b -19

x = ------- = --------- = -2 3/8

2a 8

To find the y-coordinate of the vertex, evaluate f(x)=4x^2+19x+12 at -19/8.

Using a calculator, we find that f(-19/8) = -10.5625.

Then the vertex is at (-19/8, -10.5625), or (-19/8, -9/16)

You might be interested in

320 students went on a field trip to the zoo. After, they took a survey on which animal was their favorite. 25% of students chos

Flauer [41]

This is pretty simple, you just add up the percentages and that would give you 65%, now you figure out 65% of 320 and google will tell you it is 208. now you have two possible answers, i am not sure if your question is asking for a percentage or an exact amount if it is parentage the it would be 35%, if it is exact then it would be 320-208 which is 112. so your answer probably is 112 students chose other.

5 0

3 years ago

Civil engineer wants to estimate the maximum number of cars that can safely travel on a particular road at a given speed. He ass

pychu [463]

$N(s)= \frac{89s}{14+14( \frac{s}{17})^2 }
\\
\\N'(s)= (\frac{89s}{14+14( \frac{s}{17})^2 } )'= \frac{89\times 14(1+( \frac{s}{17})^2)-89s\times \frac{28}{17} }{14^2(1+( \frac{s}{17})^2)} 
\\
\\N'(s)=0
\\
\\89\times 14(1+( \frac{s}{17})^2)-89s\times \frac{28}{17}=0
\\
\\1+( \frac{s}{17})^2- \frac{2s}{17} =0
\\
\\289+s^2-34s=0
\\
\\s^2-34s+289=0
\\
\\(s-17)^2=0
\\
\\s=17
$