1. Suppose we have a triangle MNP with vertices M(4,-5), N(5-8), and P(8,-6). The triangle M'N'P' represents the triangle translated to the left 4 units. What are the coordinates for M', N', and P?
M
N
2. Suppose we have a trapezoid with vertices J(-4,-2), K(-1,-2), L(0,-5) and M(-5,-5). The triangle J'K'L'M' represents the
triangle translated to the right 8 units. What are the coordinates for s', K', L' and M?
K
M
3. Suppose we have a triangle MNP with vertices M(4,-5), N(5,8), and P(8,-6). The triangle M'N'P' represents the triangle
translated with coordinates M'(6,-5), NYS:8), and P(10,-6). Was the triangle MNP shifted to right or left? How many units
was it shifted?

the answer is c. 23/3

b: |12 – x| ≤ 0.25

step-by-step explanation:      

let x be the possible lengths in inches, of the ribbons jaime cut.

we have been given that jaime is cutting strips of ribbon for a project. he tries to cut each piece to be 12 inches long, but sometimes he cuts it too long or too short by as much as 0.25 inch.  

we can represent this information in an inequality as:

by the definition of absolute value function we will get,

upon combining our inequalities we will get,

therefore, the inequality   describes all the possible lengths (x), in inches, of the ribbons jaime cut.

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.