Simplify the following algebraic expression 2(x^2+3x)-10(x^2+2)

Mathematics

1 answer:

4vir4ik [10]3 years ago

6 0

Answer:

-8x^2+6x-20

Step-by-step explanation:

2(x^2+3x)-10(x^2+2)

2x^2+6x-10x^2-20

(2x^2-10x^2)+6x-20

-8x^2+6x-20

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qaws [65]

Answer: 9000$

Step-by-step explanation:

Let 's use the formula to find the vertex of the parabola:

ax²+bx+c=0

$\displaystyle x_v=-\frac{b}{2a} \\\\ Where :\\\\ y_v- maximum \ \ income \\\\ y_v=a(x_v)^2+bx_v+c \\\\ Then \ in \ \ our \ \ case : \\\\ -4p^2+1200p =0 \\\\ x_v=-\frac{1200}{-4\cdot 2} =150 \\\\ y_v=-4\cdot (150)^2+150\cdot 1200 \\\\ y_v=150\cdot 1200-150\cdot 600 \\\\ y_v=600\cdot 150=\bf 9000 \$