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

what marks of foundering of Rome republic and when did it occur

I'm confused on what this is asking me to do. Can someone explain to me, please? Suppose you’re making a triangle where you know the measures of two angles and

Immediately after gastrulation: 1. The embryo forms a blastula 2. Sperm travel to the oviduct 3.The body axis of the embryo appears 4.The fetus’

To make a profit, a company’s revenue must be greater than its operating costs. The company’s revenue is modeled by the expression 7.5x – 100, where x represent

when running a gel you need to have a positive control and negative control. what do these mean and what are they each used for?

The metric unit of measurement for force is the _____. pound Newton foot-pound Newton-meter

Which development was hurtful to the profits of the cattle business?

what were the two main reasons that led to the government shutdown

Draw the three alkenes, each of formula C5H10, that will form 2-methylbutane upon hydrogenation?

If this trisomic male (ey+ ey-, gw+ gw-) is crossed with a (ey− ey−, gw− gw−) female, what proportion of the progeny will be phenotypically wild-type?