Which system of linear inequalities is shown on the graph?

A.

y < x + 4

Step-by-step explanation:

Hi there!

So,

lets first find the red lines' equation.

red)

So by looking at the red line we can tell its a negative slope where y is greater than or equal to because of the solid line.

So the equation starts like this .

Noe lets find the y-intercept, the y-intercept is the point where the red line touches the y-axis so it is at -2.

Now for the slope.

To find slope we need to use the following formula .

To solve using this formula we need 2 points that are on the line.

We can use (-2,4) and (-1,1).

So 4 is y2 and 1 is y1 so 4-1 is 3.

-2 - -1 is -1.

So the slope is -3.

Meaning the inequality is .

So the answer is A. because it is the only answer choice with the red line graphed correctly.

step-by-step explanation: so we look at the formula un = a + (n-1)d

un is the amount of seats

n is the nth term aka row number

a is the original sequence/row number

d is the difference between each term

so in this a=22 d=6 and n can remain as n because we are simply formjng a rule

lets put these in the equation

un=22+(n-1)(6)

this is your answer to part a

however

lets double check that this is correct, we'll try putting it into the second term

un=a+(n-1)d

u2=22+(2-1)(6)

u2=22+6

u2=28

as the question said the second row has 28 seats so now we know the formula we made is correct.

as for part b

un=a+(n-1)

its asking us to find a row with 100 seats.

remember un was the amount of seata so all we do is substitute this in.

un=100 a=22 d=6

un=a+(n-1)d

100=22+(n-1)(6)

so now we simplify to find n which is the row number.

100-22=22+(n-1)(6)-22

78=(n-1)(6)

78/6=(n-1)(6)/6

13=n-1

13+1=n-1+1

14=n

so now we know that in the 14th row there is 100 seats.

hope this and that you understood! its my first time using the app or anyone out on here : p its also me to revise so a bunch! ask more questions if you dont understand ☺

3/6 chance

step-by-step explanation:

half of the nubers are odd numbers (1,3,5) which in that case if you would be told to simplify it would be 1/2