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

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02-03-2019
Mathematics

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

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In scientific notation, what is the sum of 2.3 times 10^{-3} and 5.4 times 10^{-4}?a. 2.84 times 10^{-3}b. 5.63 times 10^{-3}c. 7.7 times 10^{-7}d. 12.42 times

gmany gmany · Answer 1 · 2019-03-02T16:14:55+01:00

gmany gmany

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]

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