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

Q9. What blood type (or types) can be found in an offspring if a mother has type A blood and the father has type B blood?<br />Q10. What blood type (or ty

Indicate the type of hybridization for each atom of propenoic acid

Section B: Structured Questions The diagram shows a simple spinal reflex arc. There are three errors in the drawing. (a) Explain what the three errors in the d

What is the equation of the quadratic graph with a focus of (6, 0) and a directrix of y = −10 ?

Robert's employer has agreed to pay half the tuition for Robert to complete his college degree. This benefit is known as what?A. educational reimbursementB. an

How can a person guard against a decrease in heart and lung function?

What is the name of the law that prohibits employers from discriminating against or giving people preferential treatment on the basis of race, sex, color, ethni

what role did the bantu have in the development of swahili culture?

women in roman society had the right to

Partner Investment A $4300 B $7700 The amounts that two partners invested in a new business are given in the table above. If the partners share the profits in