Answer: $24, $36, $44, $59, $66, $71, $108
Step-by-step explanation:
Answer:
Answer A represents this
x <= -3 ; x > 9
Step-by-step explanation:
Isolate x on each of the inequalities:
4 x + 4 <= - 8
subtract 4 from both sides
4 x <= - 12
divide both sides by 4 to isolate x completely (notice 4 is positive, so there is NO flipping of the inequality symbol)
x <= -3
This inequality is represented by shading the left section of the number line starting at x = -3 (make sure you draw a SOLID dot to mae clear that the point x = -3 is also included in your drawing.
The other inequality:
11 x - 11 > 88
add 11 to both sides
11 x > 99
divide both sides by 11 to isolate x (notice again that 11 is a positive number, so the inequality doesn't change with the division)
x > 9
This inequality is represented by shadowing the right hand side of the number line starting at x = 9. Make sure you draw an EMPTY dot on the number 9 to indicate that x = 9 is NOT included.
Answer:
Vertex: (-1/2, -25/4)
Focus: (-1/2, -6)
Axis of Symmetry: x=-1/2
Directrix: y=-13/2
Step-by-step explanation:
x = -2, -1, -1/2, 1, 2
y = -4, -6, -25/4, -4, 0
Answer:
boys = 250
girls = 150
Step-by-step explanation:
5g = 3b eq. 1
g + b = 400 eq. 2
g = girls
b = boys
From the eq. 2
g = 400 - b
Replacing this last eq. on eq. 1:
5(400-b) = 3b
5*400 + 5*-b = 3b
2000 - 5b = 3b
2000 = 3b + 5b
2000 = 8b
2000/8 = b
250 = b
From eq. 2
g + 250 = 400
g = 400 - 250
g = 150
Check:
from eq. 1
5*150 = 3*250 = 750
