Match each function with corresponding restrictions to its domain when p(x) = 2x and q(x) = 2 x .

1.r(x) = x ≠ 1, 2

2.r(x) = All real numbers, no restrictions

3.r(x) = x ≠ -1

4.r(x) = p(x) ∘ q)(x) x ≠ -2

5.r(x) = x ≠ 0

The multiplicative property of equality states that for real numbers a, b, c, and d, if a = b and c = d, then ac = bd. true false

What is the next step in the given proof? choose the most logical approach. a. statement: m 1 + m 2 + 2(m 3) = 180° reason: angle addition b. statement: m 1 + m 3 = m 2 + m 3 reason: transitive property of equality c. statement: m 1 = m 2 reason: subtraction property of equality d. statement: m 1 + m 2 = m 2 + m 3 reason: substitution property of equality e. statement: 2(m 1) = m 2 + m 3 reason: substitution property of equality

The number of calories you burn depends on your weight. a 110-pound person burns 163 calories during 30 minutes of tennis. find the number of calories that a 190-pound person would burn during the same activity, assuming they burn calories at the same rate.