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which system of inequalities is represented by the graph?

a) y ≤ x - 5 and y ≥ -3x + 2

b) y ≤ x - 5 and y ≥ -3x - 2

c) y ≤ -x + 5 and y ≥ 3x - 2

d) y ≤ x + 5 and y ≥ -3x - 2

Option B is the correct one.

Step-by-step explanation:

The first graph passes through the points (0,-2).

Hence, the inequality equation maybe y ≥ - 3x - 2 or y ≥ 3x - 2.

Therefore, options B, C, D can be correct.

Again, the other graph passes through the point (0,-5).

Hence, the inequality equation that can be the solution is y ≤ x - 5.

Therefore, inequality A or B can be the answer.

Hence, combining those two conditions option B is the correct one. (Answer)

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.

$649.60

step-by-step explanation: