Identify the minimum value of the function y = 2x2 + 4x Answer
2 answers:
Answer:
y = - 2 is the minimum value
Step-by-step explanation:
The minimum value is the y- coordinate of the vertex.
The vertex lies on the axis of symmetry which is positioned at the midpoint of the zeros.
To find the zeros let y = 0, that is
2x² + 4x = 0 ← factor out 2x on the left side
2x(x + 2) = 0
Equate each factor to zero and solve for x
2x = 0 ⇒ x = 0
x + 2 = 0 ⇒ x = - 2
midpoint = = - 1 ← x- coordinate of vertex
Substitute x = - 1 into the equation for corresponding y- coordinate
y = 2(- 1)² + 4(- 1) = 2 - 4 = -2
vertex = (- 1, - 2)
Hence minimum value = - 2
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The value of x is 125 degrees from the given diagram
<h3>Lines and angle</h3>Find the diagram attached
From the diagram, we can see that line l is parallel to line m, hence we can conclude that:
x = 125 degrees (The angles are corresponding angles)
Hence the value of x is 125 degrees from the given diagram
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<h3>Answer: Choice A</h3>
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Explanation:
The fourth root of x is the same as x^(1/4)
I.e,
The same applies to x^10 as well
Multiply the exponents 10 and 1/4 to get 10/4
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If we have an expression in the form x^(m/n), with m > n, then we can simplify it into an equivalent form as shown below
The 'a' and 'b' are found through dividing m/n
m/n = a remainder b
'a' is the quotient, b is the remainder
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The general formula can easily be confusing, so let's replace m and n with the proper numbers. In this case, m = 10 and n = 4
m/n = 10/4 = 2 remainder 2
We have a = 2 and b = 2
So
turns into
which means