The area of a rectangular lot is represented by 6t^2+13t-5. what are the length and width of the rectangular lot ?

(3t-1) and (2t+5)

Step-by-step explanation:

In order to get the length and width of the lot, you need to factor this quadratic in order to get two factors that multiply to the quadratic. The quadratic being factored is 6t^2+13t-5. First, multiply the coefficient of 6t^2 (6) or your a value by your c value (-5) This gets you to -30. Now, you need to find two values that both add to your b value (13) and multiply to your a times c value (-30). These two values are 15 and -2. Now you're left off with 6t^2+15t-2t-5. Now with four terms in the equation, you can group them into pairs of two, leaving you with 6t^2+15t and -2t-5. Now, we need to factor out as much as we can from 6t^2+15t. Both terms are divisible by 3 and both have at least one t in them, so we can divide the terms by 3t to make 3t(2t+5). Now we must divide the other set of terms into something that gets us 2t+5. The terms are -2t-5, which can be divided by -1 to get 2t+5. Now we have 3t(2t+5)-1(2t+5). Combine the 3t and -1 to get 3t-1, and leave the 2t+5 as your other factor. This means that you end up with (3t-1)(2t+5)

step-by-step explanation:

we are given

since, we have to isolate x on anyone side

so, we can move all x terms on one side

subtract both sides by 2x

add both sides by 9

divide both sides by 4

we get

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.