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
Anna71 [15]
3 years ago
14

What does the quadratic function

Mathematics
1 answer:
nikklg [1K]3 years ago
6 0

Answer:

f(x) = (x -3)^2 - 1

Step-by-step explanation:

f(x) = x^2 - 6x + 8

a = 1, b = -6 and c = 8

So we are finding half of the b equation (ignore the negative sign)

Half of 6 is 3, so we are going to square 3 (3^2 = 9) and add 9 to the left side and subtract 9 to the right side

(x) = (x^2 - 6x + 9) + (8 - 9)

You can tell the polynomial is a perfect square, so we will have to factor it using the perfect square method

(x^2 - 6x + 9)

square toot of x^2 is x and square root of 9 is 3 and the operation sign after the a number is a minus sign

(x -3)^2

Don't forget the rest of the equation from before

(x -3)^2 + (8 - 9)

(x -3)^2 - 1

So the equation is f(x) = (x -3)^2 - 1

You might be interested in
Cora uses 6.2 pints of white paint and blue paint to paint her bedroom walls. 2 5 of this amount is white paint, and the rest is
zhenek [66]

Answer:She used 3.72 pints of blue paints for the wall

Step-by-step explanation:

Total Quantity of Blue and white paint =6.2 pints

Quantity  of White paint =2/ 5 x 6.2 pints = 2.48 pints

Quantity of blue paint =Total Quantity -Quantity  of White paint

=6.2 pints-2.48 pints

=3.72 pints

5 0
2 years ago
What is the solution to this system of equations y=x-2 y=-0.5x+4
gladu [14]

Answer:

Substitute y=x-2y=x−2 into y=-0.5x+4y=−0.5x+4.

x-2=-0.5x+4x−2=−0.5x+4

2 Solve for xx in x-2=-0.5x+4x−2=−0.5x+4.

x=4x=4

3 Substitute x=4x=4 into y=x-2y=x−2.

y=2y=2

4 Therefore,

\begin{aligned}&x=4\\&y=2\end{aligned}

​

​

​​  

​x=4

​y=2

​​  

Step-by-step explanation:

6 0
2 years ago
The brain volumes ​(cm cubed​) of 20 brains have a mean of 1162.8 cm cubed and a standard deviation of 127.1 cm cubed. Use the g
Free_Kalibri [48]

Answer:

- The limits are  908.6 cm^3 and 1417cm^3

- 1337.0cm^3 is in between the limits

Step-by-step explanation:

To determine the limit by taking into account the range rule of thumb, you use the fact that the limits are given by the mean plus and minus twice the standard deviation, that is:

\overline{x}\pm 2\sigma        (1)

\overline{x}: mean of brain volume = 1162.8 cm^3

σ: standard deviation = 127.1 cm^3

You replace the values of the parameters in the equation (1):

1162.8cm^3+2(127.1cm^3)=1417cm^3\\\\1162.8cm^3-2(127.1cm^3)=908.6cm^3

Limits = (1417 , 908.6)

The limits are  908.6 cm^3 and 1417cm^3

1337.0cm^3 is in between the limits calculated above.

5 0
3 years ago
What are 3 consecutive numbers that add up to 105
NNADVOKAT [17]

Answer:

34+35+36=105

:)

8 0
2 years ago
Fedrick salary varies directly with hour he works last week he earned 328.30 and worked 33.5 hours if he works this week what wi
stiks02 [169]

Answer:

m

Step-by-step explanation:

8 0
3 years ago
Other questions:
  • PLEASE HELPPPPPPPPPP<br> solve for a<br> b=Da+fa
    8·1 answer
  • Bridget has $240. She spent
    9·1 answer
  • PLZZZZZZZZZZZZZ HELP ASAP FOR THE FIRST ONE WHO ANSWERS WILL GET BRAINIEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
    7·2 answers
  • If x = 1 and y = 2 and z = 3 what is <br> 10x³z²- 5x²y³/xyz²
    5·2 answers
  • What is 7/25 as a percent
    10·2 answers
  • Can someone please help me with math.
    11·1 answer
  • Joel is using a recipe to make cookies for a club bake sale.
    6·2 answers
  • if a Scientist records a jackrabbit traveling 140m in 7 s. At what do bead does the jackrabbit travel in meters per second​
    11·1 answer
  • <img src="https://tex.z-dn.net/?f=%5Csqrt%2096" id="TexFormula1" title="\sqrt 96" alt="\sqrt 96" align="absmiddle" class="latex-
    7·1 answer
  • De que numero es 49 un medio de. un tercio mas?​
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!