3 years ago

Given the function f(x) = −2x2 4x − 7, find f(−4). −55 −7 9 25

2 answers:

6 0

$f(x)=-2x^2+4x-7\\\\x=-4,\ subtitute\\\\f(-4)=-2\cdot(-4)^2+4\cdot(-4)-7=-2\cdot16-16-7\\\\=-32-16-7=-55\\\\\boxed{f(-4)=-55}$

Maurinko [17]3 years ago

6 0

Answer:

The answer is -55

Step-by-step explanation:

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3 years ago

1 + 5sin^2x= 7sin^2x solve trig equation. Can you show me how to solve this trig equation?

pantera1 [17]

Answer: $x = \frac{\pi}{4}\pm k\frac{\pi}{2}\,\,\,\,\,\,k=\{0,1,2,...\}$

Step by step:

$1 + 5\sin^2x= 7\sin^2x\\\sin^2 x\rightarrow z\\1 + 5z = 7z\\2z = 1\\z = \frac{1}{2}\implies \sin^2 x = \frac{1}{2}\\|\sin x| = \frac{1}{\sqrt{2}}\\\sin x = \pm\frac{1}{\sqrt{2}}=\pm\frac{\sqrt{2}}{2}\\\implies x = \frac{\pi}{4}\pm k\frac{\pi}{2}\,\,\,\,\,\,k=\{0,1,2,...\}$