3 years ago

Solve each inequality and graph the solution on the number line.

Mathematics

1 answer:

Dahasolnce [82]3 years ago

7 0

Answer:

See solution below

Step-by-step explanation:

Well 9x >= 27 would be solved like this:

9x >= 27

9x/9 >= 27/9

x >= 3

This would be graphed with a closed circle on 3, and the arrow going to the right

Hope this helps! Sorry it's so late :(

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Select the two values of x that are roots of this equation. x^2+2x-4=0

GuDViN [60]

Answer:

$\large\boxed{x=-1\pm\sqrt5}$

Step-by-step explanation:

$x^2+2x-4=0\qquad\text{add 4 to both sides}\\\\x^2+2x=4\\\\x^2+2(x)(1)=4\qquad\text{add}\ 1^2=1\ \text{to both sides}\\\\\underbrace{x^2+2(x)(1)+1^2}=4+1^2\qquad\text{use}\ (a+b)^2=a^2+2ab+b^2\\\\(x+1)^2=5\to x+1=\pm\sqrt5\qquad\text{subtract 1 from both sides}\\\\x=-1\pm\sqrt5$