billybobjoe73 billybobjoe73

02-03-2019
Mathematics

contestada

in the function f(x)=5(x^2-4+___)+15, what number belongs in the blank to complete the square?

Respuesta :

02-03-2019

Answer:

2² = 4

Step-by-step explanation:

[tex]\text{Use}\\(a-b)^2=a^2-2ab+b^2\\\\f(x)=5(x^2-4x+\underline{\ \ \ })+15\\\\x^2-4x\\\\x^2-2(x)(2)\\\\x^2-2(x)(2)+2^2=x^2-4x+4\\\\\text{Therefore}\\\\f(x)=5(x^2-4x+4)+15=5(x-2)^2+15[/tex]

Answer Link

Otras preguntas

Suppose you draw a card from a deck of 52 cards. what is the probability that the card you draw is not an ace? there are 4 aces in the deck.131212131131

Write down the 3rd term in the sequence given by: T(n) = n2 + n

Look at picture. Tell me what G(x)=?

in what ways would an environment where everyone was similar make critical thinking difficult?

A test that measures factors such as dependability, carefulness, responsibility, and honesty is referred to as a task variability test. true false

-16 + -8 help me plzzz

The function d(x) = 3x + 2 determines how many donuts need to be purchased for a meeting, where X is the number of people at the meeting. The office manager use

A golfer hits a golf ball with a velocity of 36.0 meters/second at an angle of28.0°. If the hang time of the golf ball is 3.44 seconds, what is the range ofthe

Imagine you want to write about an event in which you played a central role, such as scoring the winning goal in a soccer match. Which should you write?

a system in which the rulers run the government from s capital city is called a