PLEASEEEEE HELP!!!! 15 POINTS AND DONT PUT SOMETHING RANDOM ITS DUE SOON!!

Mathematics

2 answers:

Gennadij [26K]3 years ago

6 0

Answer:

third option

triangle TSU=LMN

Harlamova29_29 [7]3 years ago

4 0

Answer:

$\triangle TSU \: \cong\: \triangle LMN$

Step-by-step explanation:

$In\: \triangle TSU \: \&\: \triangle LMN\\\\TS \cong LM\\\\SU\cong MN\\\\UT\cong NL\\\\\therefore \triangle TSU \: \cong\: \triangle LMN\\(By\: SSS \: Postulate)$

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G(x) = -2x^3 – 15x^2 + 36x

shusha [124]

Consider the function $G(x) = -2x^3 - 15x^2 + 36x.$ First, factor it:

$G(x) = -2x^3 - 15x^2 + 36x=-x(2x^2+15x-36)=\\ \\=-x\cdot 2\cdot \left(x-\dfrac{-15-\sqrt{513}}{4}\right)\cdot \left(x-\dfrac{-15+\sqrt{513}}{4}\right).$

The x-intercepts are at points $\left(\dfrac{-15-\sqrt{513} }{4},0\right),\ (0,0),\ \left(\dfrac{-15+\sqrt{513} }{4},0\right).$

1. From the attached graph you can see that

function is positive for $x\in \left(-\infrty, \dfrac{-15-\sqrt{513} }{4}\right)\cup \left(0,\dfrac{-15+\sqrt{513} }{4}\right);$
function is negative for $x\in \left(\dfrac{-15-\sqrt{513} }{4},0\right)\cup \left(\dfrac{-15+\sqrt{513} }{4},\infty\right).$