The graph of y ≤ -2x + 4 is shown. which set contains only points that satisfy the inequality? a) {(0, 0), (1, 2), (3, -3)} b) {(0, 0), (1, 2), (7, -2)} c) {(3, 3), (1, 2), (3, -3)} d) {(0, 0), (2, 1), (3, -3)}

To find out if a set satisfies the inequality, you can either plug in the points into the equation, or you can plug in the points into the graph.

Any point in the shaded area and on the line satisfy the inequality. If the inequality had a sign of < or >, then the point can not be on the line, only in the shaded area.

A.) This is a solution because they are all in the shaded area

B.) This is not a solution because (7,-2) is outside the shaded area

C.) This is not a solution because (3,3) is outside the shaded area

D.) This is not a solution because (2,1) is outside the shaded area

A) {(0, 0), (1, 2), (3, -3)}  

Step-by-step explanation:

Check by inserting values into the inequality.

y ≤ -2x + 4

Set A

(0,0): 0≤ 4 TRUE

(1,2): 2 ≤ -2×1 + 4

       2 ≤ -2 + 4

       2 ≤ 2 TRUE

(3,-3): -3 ≤ -2×3+4

         -3 ≤ -6 + 4

         -3 ≤ -2 TRUE

Set B

(7, -2): -2 ≤ -2×7 + 4

          -2 ≤ -14 + 4

          -2 ≤ -10 FALSE

Set C

(3,3): 3 ≤ -2×3 + 4

        3 ≤ -6 + 4

        3 ≤ -2 FALSE

Set D

(2,1): 1 ≤ -2×2 + 4

       1 ≤ -4 +4

       1 ≤ 0 FALSE

Set A is the one that contains only points that satisfy the inequality.

location: point 0

step-by-step explanation:

well, -8 to 10 on a number line is 18 spaces.

1/9 of 18 is 2.

so, 4/9 of 18 must be 8.

8 spaces from -8 (a) is 0.

so, 4/9 of the way from -8 to 10 is 0!

d

step-by-step explanation:

hello and welcome!

so, when we see the words "proportional" along with a table, we need to know that we're looking numbers that divide by the same thing.

looking at this table, we simply have to do a trial and error, and divide to see which numbers have the same quotient. if you look at choice a & c, they both have equal quotients for three of the numbers, with one exception, so those can't be the answer. looking at b, there is no similarity, so that can't be it. then, we see d; if you divide all the numbers in the table, you'll see that they all divide by two, which is a proportional relationship, and our answer!

also, always remember that the x will always be the number that goes into y, and somewhere behind this table, is a formula. for this specific table, the formula would be:

since our x-value is being divided by two to get the y-value. and if they were to ask for more numbers in the series, this is the formula you would use to find them.