Пусть f(x) = ax^2 + bx + c. Найдите a + b + c, если известно, что f (x + 3) = 3x^2 + 7x + 4. Created by Semantik. algebra-ru

Пусть f(x) = ax^2 + bx + c. Найдите a + b + c, если известно, что f (x + 3) = 3x...

Semantik @Semantik

July 2022 1 2 Report

Пусть f(x) = ax^2 + bx + c. Найдите a + b + c, если известно, что f (x + 3) = 3x^2 + 7x + 4

Answers & Comments

IrkaShevko

Verified answer

F(x+3) = a(x+3)² + b(x+3) + c = ax² + 6ax + 9a + bx + 3b + c = ax² + (6a+b)x + (9a+3b+c) = 3x² + 7x + 4

a = 3
6a+b = 7 18+b=7 b = -11
9a+3b+c = 4 27 - 33 + c = 4 c = 10

a+b+c = 3-11+10 = 2

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Answers & Comments

Verified answer

napisat linejnuyu programmu po nahozhdeniyu perimetra pryamougolnogo treugolnika

vvoditsya celoe chislo esli eto cifra to opredelit chetnaya ona ili net a esli ch

sostavte programmu kotoraya dlya celogo chisla k ot 1 do 99 vvedennogo vami n

vvesti s klaviatury chislo iz intervala 112 i napechatat sootvetstvuyushij emu mes

dva avtohozyajstva otpravili neskolko mashin dlya perevozki gruzov chislo mashin o

v pryamougolnom treugolnike summa katetov ravna 13 a radius vpisannoj okruzhnost

pri pomoshi kakih reakcij mozhno osushestvit sleduyushij cikl prevrashenij0bb2aae74dd4192218f45a2a4e736654 9850

prodifferencirujte proizvodnye

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