I need help with this math question. Thanks! Which of the following is a solution of 4x + 2y < 6 A. (5, 7) B. (0, 4) C. (1, 0) D. (1, 0)

C., D. (they are the same point)

Step-by-step explanation:

4x + 2y < 6

A. (5, 7)

4(5) + 2(7) = 20 + 14 = 34

34 > 6, so A. is not an answer.

B. (0, 4)

4(0) + 2(4) = 0 + 8 = 8

8 > 6, so B. is not an answer

C. (1, 0)

4(1) + 2(0) = 4 + 0 = 5

4 < 6 is true, so C. is an answer.

D. (1, 0)

Why is D. the same as C.?

step-by-step explanation:

the original amount doesn't ''re just looking for the time it takes for 1/2 of the substance to we have

(1/2) =)     take the ln   of both sides

ln (1/2)   = )   and we can write

ln(1/2) = ) lne     and lne   = 1     so we have

ln(1/2) = -.1092t     divide both sides by -.1092

t = ln(1/2)/-.1092 = about 6.347 days = about 6.3 days (rounded)

-3

step-by-step explanation:

a drawing really does here:

so i draw the horizontal line y=2 and the vertical line x=-2 at this intersection i put b (this is where my right angle is going to be).   so point b is at (-2,2).   point a is 5 units long and is also on y=2 so this point has to be (3,2) or (-7,2) -doesn't matter i will go with (3,2).

now we know c is at (-2,y) we don't know the y yet bet we know that c is on x=-2.

we have the area of the triangle is .5bh=12.5

we know the base length is 5 (ab)

we have the height is (2-y) if you look at your

plug in

.5(5)(2-y)=12.5

solve for y to get the y-coordinate for c

2.5(2-y)=12.5

divide both sides by 2.5 giving:

2-y=5

now subtract 2 on both sides

-y=3

y=-3