Answer:
.75
Step-by-step explanation:
1/4 OF 1 IS 25. 1.00-.25 IS .75.
Answer:
x >= 7 OR x < -8
n <= -3 AND n > -6
Step-by-step explanation:
15) 7x - 6 >= 43 OR 10x + 4 < -76
7x >= 43 + 6 OR 10x < -76 - 4
7x >= 49 OR 10x < -80
x >= 7 OR x < -8
you can draw based on this
for >= it is full dot for < it is like circle on the graph
you have to draw both x>= 7 , x < -8 on the same line because it is OR
so both ranges of x are possible
21) 3 + 2n <= -3 AND 1 - 3n < 19
2n <= -3 -3 AND -3n < 19 - 1
2n <= -6 AND -3n < 18
n <= -3 AND 3n > -18
n <= -3 AND n > -6
so it lies between -6 and -3
u can refer pictures below
If x - 4 ≥ 0, then |x - 4| = x - 4, so
G(x) = F(x) ⇒ 3x + 2 = (x - 4) + 2
⇒ 3x + 2 = x - 2
⇒ 2x = -4
⇒ x = -2
Otherwise, if x - 4 < 0, then |x - 4| = -(x - 4), so
G(x) = F(x) ⇒ 3x + 2 = -(x - 4) + 2
⇒ 3x + 2 = -x + 6
⇒ 4x = 4
⇒ x = 1
However,
• when x = -2, we have
G(-2) = 3(-2) + 2 = -4
F(-2) = |-2 - 4| + 2 = 8
• when x = 1, we have
G(1) = 3(1) + 2 = 5
F(1) = |1 - 4| + 2 = 5
so only x = 1 is a solution to G(x) = F(x).
Answers is
A'= -3,3
B'=4,-1
C'=-2,0
Answer:
dy/dx = -1/
Step-by-step explanation:
y = 1/x
dy/dx = d/dx(1/x)
=> dy/dx = d/dx()
=> dy/dx = -
=> dy/dx = -1/