jon9363 jon9363
  • 14-06-2019
  • Mathematics
contestada

Rewrite the function by completing the square.
f(x) = x2 – 10x + 44
+
f(x) = (x+

Respuesta :

calculista
calculista calculista
  • 24-06-2019

Answer:

[tex]f(x)=(x-5)^{2}+19[/tex]

Step-by-step explanation:

we have

[tex]f(x)=x^{2}-10x+44[/tex]

Group terms that contain the same variable, and move the constant to the opposite side of the equation

[tex]f(x)-44=x^{2}-10x[/tex]

Complete the square. Remember to balance the equation by adding the same constants to each side.

[tex]f(x)-44+25=x^{2}-10x+25[/tex]

[tex]f(x)-19=x^{2}-10x+25[/tex]

Rewrite as perfect squares

[tex]f(x)-19=(x-5)^{2}[/tex]

[tex]f(x)=(x-5)^{2}+19[/tex]

Answer Link

Otras preguntas

Which two human body systems need to coordinate to move food through your body?.
Please help me finish this
simplify 4/7 + 5/6 whoever possible
Electric field lines moves away from positive to wards negative?
What would you say to encourage tourist to visit the Philippines​
How did the eligible citizens of Athens impact the ancient government?
According to the text, how are trained eagles different from wild eagles?
Rachel invests $6,500 into a 5-year CD. The interest rate is 4.2% and is compounded semi-annually. How much will she have in her account at the end of the 5 yea
Ana angle measure 79.8 degrees less than the measure of it’s complementary angle what is the measure of each angle
Part D In the scale drawing, what will the length of the west side of the backyard be?NEED HELP ASAP WILL GIVE BRAINIST TO BEST AWNSER ​