Which of the following ordered pairs represents a solution to the linear inequality y<6x-4? A. (0,3) B.(0,11) C. (0,-5) D.(0,
4)
1 answer:
Answer:
<u>Option C. (0,-5)</u>
Step-by-step explanation:
See the attached figure.
As shown the shaded area represents the solution of the given inequality:
y < 6x - 4
The given options are the points:
A. (0,3) B.(0,11) C. (0,-5) D.(0,4)
Comparing the given points to the graph.
So, the point that will lie at the shaded area represent solution to the linear inequality.
So, point (0,-5) is a solution to the linear inequality.
The answer is <u>option C. (0,-5)</u>
Note: the line y = 6x-4 is graphed using the table on the graph.
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Answer:
The answer is below
Step-by-step explanation:
From the image attached, the measurement of the roof is 5 m by 9 m on both sides. Hence:
Area of roof = 2 (5 * 9) = 90 m²
Since solar panels cost $4.00 per square meter, therefore:
Cost of solar panels = $4.00 per square meter * 90 m² = $360
The area of the front wall of the barn = (8 m * 7 m) + (1/2 * 8 m * 3 m) - (4 m * 4 m) = 52 m²
The area of the back wall of the barn = (8 m * 7 m) + (1/2 * 8 m * 3 m) = 68 m²
Area of each side wall of barn = 9 m * 7 m = 63 m²
Total area of wall = 52 m² + 68 m² + (2 * 63 m²) = 246 m²
Cost of shingles = $2.50 for each square meter * 246 m² = $615
Total cost of project = $615 + $360 = $975
Answer:
Option 1.
Step-by-step explanation:
The height of the tide over the time is shown on the graph.
Its a periodic function (sine graph) plotted on a graph in which variables are
Amplitude a = (6-0)/2 = 3
Period = 15-3 = 12
Therefore b = 2π/period = 2π/12 = π/6
horizontal shift = 0
Vertical shift = 3
Since the function starts with negative sign that means its below the x-axis.
So as per standard formula of f(x) = asin(bx+c)+d
option which matches all these parameters is Option 1.