Select the two binomials that are factors of this trinomial below . x^2-x – 12 a. x – 6 b. x + 6 c. x – 4 d. x + 3

x^2-x-12

factor

what 2 numbers multiply to get -12 and add to get -1?

-4 and 3

(x-4)(x+3)

answer is C and D

C. x – 4

D. x + 3

Step-by-step explanation:

Given trinomial,

By middle term spitting,

⇒ Only binomials x + 3 and x - 4 are the factors of the given trinomial.

Options 'C' and 'D' are correct.

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.