(2x+2)(3x+1) Multiply the binomials
Please show Step-by-Step

2(x+1)(3x+1)

Step-by-step explanation:

(2x+2)(3x+1)

Apply the distributive property by multiplying each term of 2x+2 by each term of 3x+1.

6x^2+2x+6x+2

Combine 2x and 6x to get 8x.

6x^2+8x+2

6x²+8x+2

Step-by-step explanation:

multiply each ferm in the first set of parenthess by each term in the second parentheses (FOIL)

2x times 3x +2x+ 2x times 3x+2

6x+2x+2 times 3x +2

6x²+2x+6x+2

now collect like terms

6x²+8x+2

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.