Reggie currently has a square rug in his living room. he is moving soon and has determined that for his new living room, he will need a rug that has a width that is two feet shorter than his current rug and a length that is five feet longer than his current rug. let x represents the side measure of reggie's current rug, in feet. determine the equation that represents the area, y, in square feet, of the rug needed for his new living room. y = x2 + 3x - 10 y = x2 - 7x + 10 y = x2 - 3x - 10 y = x2 + 7x + 10

y =

Step-by-step explanation:

Because Reggies rug is square, this means that there is a constant, x, that stays the same, because x * x = area of square

The new rug is 2 feet shorter than his current one, so this would be (x - 2). As the rug is also 5 feet longer than his current one, this would make it (x + 5).

So simply plug the values into this equation:

(x - 2)(x + 5) = area

= (x * x) + (x * 5) + (-2 * x) + (-2 * 5)

=

A plus and a minus makes a negative:

5x - 2x = 3x

d

step-by-step explanation:

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.