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
in the equation x+3y=6, suppose the x-intercept was at (m,0) and the y- intercept was at the ordered pair (0,n). what is the val
VMariaS [17]

Answer:

8

Step-by-step explanation:

The x intercept is when y = 0

x + 3(0) = 6

x = 6

So (6,0) and m = 6

the y intercept is when x = 0

0 + 3y = 6    Divide by 3

y = 6/3

y = 2

the y intercept is (0,2) and n = 2

Answer

m + n = 6 + 2 = 8

4 0
3 years ago
Please help me please it’s this question
Lera25 [3.4K]
Subtract 124 and 18
7 0
3 years ago
Do the following side lengths form a triangle?<br><br> 6, 18, 14
iren2701 [21]

Answer:

Yes

Step-by-step explanation:

Conditions for the sides to form a triangle is that sum of any two sides should be greater than the third side.

6 + 18 = 24

24 > 14

18 + 14 = 32

32 > 6

6 + 14 = 20

20 > 18

Therefore,

sides 6, 18 and 14 forms a triangle.

5 0
2 years ago
Plot 9/10 and 1 2/5 on the number line below​
HACTEHA [7]
First one is 9/10 second is 1 2/5

6 0
3 years ago
What is the slope formula?
Ksivusya [100]

Answer:

C

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Other questions:
  • Rounded to the nearest ten thousand 101,687 and 173,245
    8·1 answer
  • Algebra help - please be so kind - god bless. 2&amp;3 please
    7·1 answer
  • A post card collector has 1,230 postcards if she displays them on pages that hold 6 cares each how many pages does she need ?
    14·1 answer
  • What is the solution to the system of equations? Y=2x-5. -8x-4y= -20
    5·1 answer
  • Shanda has 14.7 yards of fabric remaining after
    8·1 answer
  • Rewrite using the distributive property then solve using gcf. 5(4+3)
    13·1 answer
  • What is mean median mode
    6·2 answers
  • What is this equation of this line?
    10·1 answer
  • Sam had $145 to spend on six books after buying them he had $13 how much did each book cost
    6·1 answer
  • 2x7-10/9-4<br> What is the answer for this
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!