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

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

Continents, islands, mountains, and the ocean floor form part of the a. biosphere c. hydrosphere b. atmosphere d. geosphere

The space shuttle is located exactly half way between the earth and the moon. Which statement is true regarding the gravitational pull on the shuttle? A) The mo

Which word in the sentence is the predicate adjective? The Atlantic Ocean must have seemed endlessly vast to early sailors. A. vast B. Atlantic C. endlessly D.

Is 12 centimeters bigger or less then 98 millimeters?

Why does a weather balloon pop if it goes too high? A. The volume of gas increases as the amount of gas in the balloon increases. B. The pressure in the balloon

Liam observed that the tallest player on his baseball team was 55 in. tall. He wrote the inequality h ≤ 56 to represent the possible heights of his teammates. W

Which type of cloud is most likely to bring thunderstorms?

The ruling in Roe v. Wade is an example of which of the following? A.lobbying B.affirmative action C.a broad interpretation of the Constitution D.the amendment

Use this formula to solve this problem: Power (P) = Work (W) ÷ time (t) Joachim's body supplies a force of 450 N to run up a 20 meter hill in 15 seconds. How mu

Articles in the Readers' Guide are organized in what manner? A. Alphabetically by subject B. Chronologically by date of publication C. Numerically by call numbe