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
Fed [463]
3 years ago
15

Find the minimum value of the function f(x) = x2 + 5x – 6

Mathematics
1 answer:
Klio2033 [76]3 years ago
6 0

So the easiest method to find the vertex (the minimum in this case) to do this is to find the axis of symmetry, then plug it into the function.

Firstly, the equation to find the axis of symmetry is x=\frac{-b}{2a} , with b = x coefficient and a = x^2 coefficient. The equation equation can be solved as such:

x=\frac{-5}{2*1}\\\\x=\frac{-5}{2}\\\\x=-2.5

Since the vertex falls on the axis of symmetry, we know that the x-coordinate of the vertex is -2.5. Now to solve for the y-coordinate, plug in x with -2.5 and solve as such:

f(-2.5)=(-2.5)^2+5*(-2.5)-6\\ f(-2.5)=6.25+(-12.5)-6\\ f(-2.5)=-12.25

Now putting it all together, our minimum value (vertex) is (-2.5,-12.25).

You might be interested in
En una bolsa cerrada hay 45 euros en monedas de 2, 5, 10, 20 y 50 centimos. Si metiéramos en la bolsa una moneda de 5 céntimos,
beks73 [17]
Gvvuuc. Vfigvyhhvhuvvuvygtf
6 0
2 years ago
3pqr+6pt+3pqs<br><br><br>factories
Sunny_sXe [5.5K]

3pqr + 6pt + 3pqs \\  = 3p(qr + 2t + qs)

Hope you could understand.

If you have any query, feel free to ask.

5 0
2 years ago
Read 2 more answers
Attachment Mathswatch!!
Travka [436]

Answer:

y=x-1

Step-by-step explanation:

Gradient=1

Rise/run=1/1=1

y=x+c

y intercept=-1

y=x-1

7 0
3 years ago
F(x)=3x+2 and g(x)=-2x-4, find h(x) = f(x)-g(x)
elena-14-01-66 [18.8K]

Answer:

5x-2

Step-by-step explanation:

Since f(x)-g(x) you take 3x+2 and subtract -2x-4.

3x+2+2x-4

5x-2

6 0
2 years ago
W=1/9(x+y-z)<br> what’s the answer please help
KatRina [158]

Answer:

1/9x+1/9y-1/9z

Step-by-step explanation:

3 0
3 years ago
Other questions:
  • Whats an expression that is equivalent to three over four (5z+ 16).
    7·2 answers
  • Choose the best answer *<br><br> Captionless Image<br> a<br> b<br> c<br> d
    9·1 answer
  • Solve this equation.<br><br> 5³ + (-19) (2) = 6
    5·2 answers
  • 26. Christopher orders a 3 topping pizza for $15.35, and a 5 topping pizza for $17.95.
    6·1 answer
  • What is the value of x ?enter your answer as a decimal in the box
    5·1 answer
  • Eight times a number plus 3 times
    12·1 answer
  • Eight less than seven times a number is six find the number
    11·2 answers
  • Please help asap! And no links or weird answers, please :(
    8·1 answer
  • Whoever answers i’ll mark brainliest
    6·2 answers
  • SIMPLE CONGRUENCE QUESTION, LOTS OF POINTS!
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!