efine G: ℝ → ℝ by the rule G(x) = 2 − 3x for each real number x. Prove that G is onto. Proof that G is onto: Let y be any real number. (Scratch work: On a separate piece of paper, solve the equation y = 2 − 3x for x. Enter the result—an expression in y—in the box below.) x = To finish the proof, we need to show (1) that x is a real number, and (2) that G(x) = y. Now sums, products, and differences of real numbers are real numbers, and quotients of real numbers with nonzero denominators are also real numbers. Therefore, x is a real number. In addition, according to the formula that defines G, when G is applied to x, x is multiplied by 3 and the result is subtracted from 2. When the expression for x (using the variable y) is multiplied by 3, the result is 3x = . And when the result is subtracted from 2, we obtain 2 − 3x = . Thus G(x) = y. Hence, there exists a number x such that x is a real number and G(x) = y.

step-by-step explanation:

a.   since the profit made in 2012 is equal to the profit made in 2014, the profit is           symmetric about the line y = 120,000.

step-by-step explanation:

given that megan owns a clothing boutique.

the profits of 2010, 11, are recorded and shown as follows:

years since     2010 0     1     2     3       4       5

profits made in 1000's   39       84     111     120   111     84

we find that profit gradually increases form 2010 to 2013 upto 120,   then starts decreasing.

the profits for 2012 and 2014 are the same while that of 2011 and 2015 are also the same.

this shows that there is symmetry about the line profit = 120000

hence answer is:

a.   since the profit made in 2012 is equal to the profit made in 2014, the profit is           symmetric about the line y = 120,000.

read more on -

62.5 paisa

step-by-step explanation:

4000*70 = 280000

280000-(2000*90) = 100000

4000-2400 = 1600

100000/1600 = 62.5

( give brainliest)

7

step-by-step explanation: