The temperatures at several times of the day are shown in the coordinate plane below. The x

xx-axis represents the number of hours before or after noon. For example,

−

1

−1minus, 1 would represent

11

a. m.

11 a. m.11, start text, space, a, point, m, point, end text The

y

yy-axis represents the temperature in degrees Celsius.

At

5

p. m.

5 p. m.5, start text, space, p, point, m, point, end text, the temperature is halfway between the temperature at

2

p. m.

2 p. m.2, start text, space, p, point, m, point, end text and the temperature at

8

p. m.

8 p. m.8, start text, space, p, point, m, point, end text

What coordinates represent the temperature at

5

p. m.

5 p. m.5, start text, space, p, point, m, point, end text ?

{x = -1/2 ,   y = -1

step-by-step explanation:

solve the following system:

{2 x + y = -2

{10 x - 3 y = -2

in the first equation, look to solve for y:

{2 x + y = -2

{10 x - 3 y = -2

subtract 2 x from both sides:

{y = -2 x - 2

{10 x - 3 y = -2

substitute y = -2 x - 2 into the second equation:

{y = -2 x - 2

{10 x - 3 (-2 x - 2) = -2

10 x - 3 (-2 x - 2) = (6 x + 6) + 10 x = 16 x + 6:

{y = -2 x - 2

{16 x + 6 = -2

in the second equation, look to solve for x:

{y = -2 x - 2

{16 x + 6 = -2

subtract 6 from both sides:

{y = -2 x - 2

{16 x = -8

divide both sides by 16:

{y = -2 x - 2

{x = -1/2

substitute x = -1/2 into the first equation:

{y = -1

{x = -1/2

collect results in alphabetical order:

answer:   {x = -1/2 ,   y = -1

$3,200 x 7.25% = $3,200 x .0725 = $232 interest monthly

$232 monthly x 12 annual = $2, 784

step-by-step explanation:

step-by-step explanation:

step-by-step explanation: