The interval over which the given quadratic equation decreases is: x ∈ (5, ∞).
<h3>How to find the interval of quadratic functions?</h3>
Usually a quadratic graph function decreases either when moving from left to right or moving downwards.
In the given graph, we can see that the coordinate of the vertex is (5, 4) after which the curve goes in the downward direction.
Thus, for the values of x greater than 5, the function decreases and so we conclude that the interval in which the quadratic equation decreases is: (5, ∞).
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Answer:
y=1.7x
Step-by-step explanation:
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Answer:
12units²
Step-by-step explanation:
Given a triangle that has sides that measure 2 units, 5 units, and 5.39 units,
Perimeter of the triangle = 2 + 5 + 5.39
Perimeter of the triangle = 12.39units
since the circumference is equal to the perimeter of the triangle, hence;
C = 12.39units
C = 2πr
r is the radius of the circle
12.39 = 2(3.14)r
12.39 = 6.28r
r = 12.39/6.28
r = 1.973 units
Get the area
Area = πr²
Area of the circle = 3.14(1.973 )²
Area of the circle = 3.14(3.892)
Area of the circle = 12.22units²
Area of the circle ≈ 12units²
Answer:
x > -1
Step-by-step explanation:
-3x + 15 < 18
Subtract 15 from each side
-3x + 15-15 < 18-15
-3x < 3
Divide each side by -3, remembering to flip the inequality
-3x/-3 > 3/-3
x > -1