If x + 6 = 11, which statement is false?
a) the equation x + 11 = 6 is equivalent to x + 6 = 11 since 6 + 11 = 11 + 6.
b) the equation 2x + 12 = 22 is equivalent to x + 6 = 11 since 2(x + 6) = 2(11).
c) the equation x + 9 = 14 is equivalent to x + 6 = 11 since (x + 6) + 3 = 11 + 3.
d) the equation x − 1 = 4 is equivalent to x + 6 = 11 since (x + 6) − 7 = 11 − 7.

A) The equation x + 11 = 6 is equivalent to x + 6 = 11 since 6 + 11 = 11 + 6 is false.

Step-by-step explanation:

A) One simple way to test the truth of this statement is to solve for x:

In x + 11 = 6, subtracting 11 from both sides leaves x = -5.

In x + 6 = 11, subtracting 6 from both sides leaves x = 5.

-5 does not equal 5, so the equations are not equivalent.

Therefore, A) is false.

to find the total number of combinations, multiply the quantity of each item by each other:

2 pairs of shoes x 3 pairs of shorts = 6 different combinations.

answer: c, the green line

step-by-step explanation:

there is no black line, eliminate b.

simple interest implies periodic payments, but the red line shows no payments, eliminate d.

simple interest has equal payments. if paid say every day, the graph is about a straight line (actually a stairstep).

the yellow line is not straight, eliminate a.

check: the green line is straight, answer is c.

simple interest with positive interest rate gives a straight line sloping up to the right. green line:

g(t) = $100 + ($200-$100) ÷ (20 years) × (t years)

= $100 + (4%/year) × ($100)(t years)

incidentally, the yellow line curving upward represents continuously compounded interest

y = $100 × 2^(t years / (14 assuming the yellow line hits $200 at 14 years. 2^0 is 1, so y(0) = $100; 2^(14/14) is 2, so y(14) = $200.