Since 2x+y>4 you get y>4-2x. Then you draw the line y=4-2x then you are interested in everything above the line not including it since it is y>4-2x so it is a dashed line. You need to shade the side that satifies the inequality and since it is every pair (x,y) where y>4-2x, you need to shade everything above the line which is the side that does not include the origin. So the answer is C.
y=-6x+5
the slope needs to stay -6 so the line stays parallel, with the slope going down 6, right 1, the y-int would have to be 5
Answer:
B
Step-by-step explanation:
To evaluate (f ￮ g)(- 4), first evaluate g(- 4) then substitute this value into f(x)
g(- 4) = 3(- 4) - 5 = - 12 - 5 = - 17, then
f(- 17) = 4(- 17) + 7 = - 68 + 7 = - 61 → B
<span>5x+10 = y
Subtract 10 from both sides.
5x = y - 10
Divide both sides by 5.
x = 1/5y - 2
Plugin 1/5y - 2 for the y.
5(1/5y - 2)
1 - 10 + 10 = y
1 = y
<span>
</span><span>Your Answer(s)
</span><span>y = 1
</span></span>x = 1/5y - 2
<span>
</span>
Answer:
17
Step-by-step explanation:
Number of students in soccer club, n(S) = 50
Number of students in Art club, n(A) = 53
Number of students in Gaming club, n(G)
n(
) = 100
n(
) = 9
n(
) = 20
n(
) = 35
n(
) = 29
Formula:
n ( A ∪ B ∪ C ) = n(A) + n(B) + n(C) – n ( A ∩ B ) – n(B ∩ C) – n (A ∩ C) + n( A ∩ B ∩ C )
Putting the values:
100 = 50 + 53 + n(G) - 20 - 35 - 29 + 9
100 = 112 + n(G) - 84
n(G) = 72
Number of students in gaming club only = n(G) - n() - n() + n()
= 72 - 35 - 29 + 9
= <em>17</em>
