Answer:
D.
Step-by-step explanation:
So the question is asking which set of inequalities and given point represent the graph. The point it gives is (-3,1) on the graph. That already narrows your choices down to B and D. Now, the easiest way to see the answer is look at the y axis. In the equation y=mx+b, b is the value on the y axis. We see on the y axis that the equations pass through positive 1 and 2. D adds 1 and 2 the equations, so it would produce that graph.
F(x)=IxI-5
when you shift it up, add the units to the end of y=IxI
when you shift it down, subtract the units to the end of y=IxI
Answer:
Measure of CD = 17 units
Step-by-step explanation:
Perimeter of a polygon = Sum of measures of all sides of the polygon
Perimeter of the given rectangle = 2(length + width)
= 2[(x + 3) + (2x - 1)]
= 2(3x + 2) units
Perimeter of triangle EFG = EF + FG + GE
= (x - 7) + (4x - 8) + (3x + 1)
= (8x - 14)
= 2(4x - 7) units
Since, perimeters of both the figures are equal,
2(3x + 2) = 2(4x - 7)
3x + 2 = 4x - 7
4x - 3x = 7 + 2
x = 9
Measure of CD = (2x - 1)
= 2(9) - 1
= 17 units
Answer:
The distance between the hands is √(3)cm ≈ 1.73cm.
Step-by-step explanation:
In a standard clock, the angle between every number is 30°, therefore the angle between 12 and 2 will be 30° x 2 = 60°.
Looking at the diagram, to find c we can make use of our cosine formula
c² = a² + b² –2abCos(C°)
a = 2, b = 1 and C° = 60°
Therefore we have:
c² = 2² + 1² –2 x 2 x 1 x cos(60°) =
c² = 4 + 1 – 4 x 0.5 =
c² = 5 – 2 =
c² = 3
c = √(3) ≈ 1.73
Therefore, the distance between the hands is √(3)cm ≈ 1.73cm.
Answer:
1 $16.50
2 $28.50
3 $40.50
$4.50 + $12c
$100.50
Step-by-step explanation:
Please find attached the complete question
Total cost in dollars = fixed cost + (variable cost x number of CDs bought)
fixed cost = $4.50
variable cost = $12
number of cds bought = c
total cost in dollars = $4.50 + $12c
total cost in dollars when 1 cd is bought = $4.50 + $12(1) = $16.50
total cost in dollars when 2 cds are bought = $4.50 + $12(2) = $28.50
total cost in dollars when 3 cds are bought = $4.50 + $12(3) = $40.50
total cost in dollars when 8 cds are bought = $4.50 + $12(8) = $100.50