The path a character takes to navigate a level of a video game is given in the following graph. Piecewise function with a linear function going from a closed point at negative 12 comma negative 4 to an open point at negative 6 comma 2 and another linear function from a closed point at negative 6 comma 4 horizontally to the point 2 comma 4 and then down to a closed point at 6 comma negative 4 and then another linear function from an open point at 6 comma negative 6 horizontally to a closed point at 10 comma negative 6

What is the domain?

–6 ≤ x ≤ 4
–6 ≤ x ≤ 4, x ≠ –6, 2
–12 ≤ x ≤ 10
–12 ≤ x ≤ 10, x ≠ –6, 6

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.

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step-by-step explanation:

nndncnd cnn

snddnd

answer: 75°

step-by-step explanation:

∠esk is the supplement of ∠edk, so is 100°. ∠esd = 1/2·arc ed, so is 25°.

since ∠esk = ∠esd + ∠dsk

you have 100° = 25° + ∠dsk . .

fill in known values 75° = ∠dsk . . . . .

subtract 25°

step-by-step explanation: