natethegreat951 natethegreat951
  • 22-06-2018
  • Mathematics
contestada

WILL MARK BRAINLIEST The quadratic 10x^2+100x+1000 can be written in the form a(x+b)^2+c, where a, b, and c are constants. What is a+b+c?

Respuesta :

LammettHash
LammettHash LammettHash
  • 23-06-2018
[tex]10x^2+100x+1000=10(x^2+10x+100)[/tex]
[tex]=10(x^2+10x+25+75)[/tex]
[tex]=10((x+5)^2+75)[/tex]
[tex]=10(x+5)^2+750[/tex]
[tex]\implies a=10,b=5,c=750[/tex]
[tex]\implies a+b+c=765[/tex]
Answer Link

Otras preguntas

PLZ SOMEONE HELP ME!!!!!!
Find the quotient of 3 2/5 and 3 2/6. Express your answer in simplest form.
Sergio plans to drive 150 miles at a rate of 60 miles per hour. He figures that it will take 25 hours. Which is NOT a reason why this conclusion is wrong?
The function f(x) is shown in the graph. What is the equation for f(x)? Enter your answer in the box.
Explain the relationship between the roman numeral and the charge used in naming ionic compounds.
Calculate the force of gravity on the same 1 kg mass if it were 6.4x10^6 m above earth's surface
How many solutions exist for the given equation? 0.75(x+40)=3(4x+1)-2
Make 2 squares by moving 5 sticks
The concept of markup under monopolistic competition would best be described as the
why was the silk road an important part of chinese history?