Some body help answer the question in the picture below

a) t ≥ 5

b) (see below)

Step-by-step explanation:

First, make note of the info you are given and what you're trying to do:

- at midnight, 5°C

- drops consistently 2°C per hour

- finding t

- t = # of hours past midnight when temp. was past -4°C

- put t on a number line

So, first, you need to find the first point at when the temperature goes past -4°C. Notice that the question is asking for past -4°C, not -4°C and past. This means we're not including -4°C.

Every hour, we're dropping by 2°C. You can draw a visual to better understand the situation. See the image below.

So we know that starting from 5 am, we are lower than -4°C.

This is 5 hours from midnight.

So t ≥ 5. This means that the number of hours past midnight when the temperature was colder than -4°C was 5 or more hours.

On the number line, draw a circle on 5 (between 4 and 6), but shade it in because it includes 5. Then, shade or highlight to the right of that circle to the end of the number line.

This shows that t is equal to or greater than 5.

i think that you should ask google for the answer to that problem because if we don't know it google does

{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