1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Fynjy0 [20]
3 years ago
9

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
a countrys population in 1992 was 72 million in 1998 it was 76 million estimate the population in 2012 using the exponential gro
crimeas [40]
Hi there
First find the rate of growth between
1992 and 1998
The formula is
P=Ae^rt
P the population in 1998. (76 million)
A the population in 1992 (72 million)
E constant
R rate of growth?
T time 1,998−1,992=6 years
We need to solve for r
R=[log (p/A)÷log (e)]÷t
R=(log(76÷72)÷log(e))÷6
R=0.009

Now find the population in 2012
P=Ae^rt
P ?
A 72 million
R 0.009
T 2,012−1,992=20 years
So
P=72×e^(0.009×20)
P=86.2 round your answer to get
P=86 million

Good luck!
5 0
3 years ago
consider the following.find formula simplify answer .Find the domain for the formula and round answer to two decimal places if n
Elanso [62]

The sum of functions is given as:

(f+g)(x)=f(x)+g(x)

In this case we have:

(f+g)(x)=5x+\sqrt[]{x-1}

The domain of the functions is any number that makes the squared root a real number, then:

\begin{gathered} x-1\ge0 \\ x\ge1 \end{gathered}

Hence the domain of the functions is:

\lbrack1,\infty)

5 0
1 year ago
What is the opposite of the opposite of negative nine?​
pogonyaev

Answer:

-9 or negative 9

Step-by-step explanation:

The opposite of negative 9 is positive 9.

The opposite of <em>that</em> is negative 9.

8 0
3 years ago
Read 2 more answers
Science
juin [17]
C kinetic energy. As it loses potential energy, it gain kinetic energy
6 0
3 years ago
Read 2 more answers
HELLLLLLP ME EEEEEEEE​
andrew11 [14]

Answer:

A. y=3x  but 3 is the slope

hope this helps

have a good day :)

Step-by-step explanation:

5 0
3 years ago
Other questions:
  • The current (I) in an electrical conductor varies inversely as the resistance (R) of the conductor. The current is 6 amperes whe
    11·2 answers
  • What is 1250 cm converted to meters?
    11·2 answers
  • A weather reporter in your area said that the speed of sound in air today is about one thousand one hundred feet per second. Wha
    8·1 answer
  • Scientists calculate that the average temperature of the earth is increasing at a constant rate of 0.10 degrees a year. This sit
    7·1 answer
  • What is the surface area of a sphere with a radius of 3.25.
    7·2 answers
  • The school Amina goes to is selling tickets to a choral performance. On the first day of ticket sales the school sold 3 senior c
    12·1 answer
  • There are many different kinds of numbers (whole numbers, fractions, etc.). Name some different types of numbers.
    15·1 answer
  • Y=-2/5x-3 in graph form
    9·1 answer
  • What is the<br> slope of a line that is parallel to the line<br> shown on the graph?
    13·1 answer
  • Suppose that f'(4) = 3 , g'(4) = 7 , g(4) = 4 and g(x) not= to 4 for xnot= to 4 . then cmpute lim xgose to 4 f(g(x))/x-4-f(4)/x-
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!