Respuesta :

Answer:

6

Step-by-step explanation:

[tex]4z^2 - 3z - 4​\\z =2[/tex]

Substitute 2 for z in the given equation

[tex]4(2)^2 - 3(2) -4\\[/tex]

Follow the PEMDAS order of operations

[tex]\mathrm{Calculate\:exponents}\:\left(2\right)^2\::\quad 4\\=4\cdot \:4-3\left(2\right)-4\\\\\mathrm{Multiply\:and\:divide\:\left(left\:to\:right\right)}\:4\times\:4\::\quad 16\\=16-3\left(2\right)-4\\\\\mathrm{Multiply\:and\:divide\:\left(left\:to\:right\right)}\:3\left(2\right)\::\quad 6\\=16-6-4\\\\\mathrm{Add\:and\:subtract\:\left(left\:to\:right\right)}\:16-6-4\::\quad 6[/tex]

Answer:

Step-by-step explanation:

Plug in z = 2 in the expression

4z² - 3z - 4 = 4*2² - 3*2 -4

                 = 4*4 - 6 - 4

                 = 16 - 6 - 4

                 = 10 - 4

                 = 6

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