Ms. wilson draws a model of the factorization of a polynomial with integer factors. her model is partially complete. which equation is represented by ms. wilson’s model? n n2 5 5n 40 n2 + 3n + 40 = (n – 8)(n – 5) n2 + 13n + 40 = (n + 8)(n + 5) n2 + 40n + 13 = (n + 8)(n + 5) n2 + 40n + 3 = (n – 8)(n – 5)

B.  

Step-by-step explanation:

We have that,

Ms. Wilson's model has the integer factors 'n, , 5, 5n, 40'.

Now, the given polynomial should have the above factors.

Moreover, according to the options, we see that the polynomials are equal only when left side is equal to the right side.

Upon solving the right side of the options, we get that,

.

So, we see the polynomial has the required factors.

Hence, this equation represents Ms. Wilson's model.

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.