Anyone know the area of the blue area?
1 answer:
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The equation which is equivalent to 16 Superscript 2 p Baseline equal to 32 Superscript p 3 is,
Equivalent equation are the expression whose result is equal to the original expression, but the way of representation is different.
Given information-
The given equation in the problem is,
Write both the equation in the form of same base number as,
The power of the power of a number can be written as product of both the numbers. Thus,
This is the required equation.
Now if the base is the same at both side of the expression, then the powers can be compared. Thus,
Solve it further to find the value of p as,
Thus the equation which is equivalent to 16 Superscript 2 p Baseline equal to 32 Superscript p 3 is,
Learn more about the equivalent expression here;
Answer: 5) Vertex = (2, 28) y-intercept = 40 → (0, 40)
6) Vertex = (2, 11) y-intercept = 7 → (0, 7)
<u>Step-by-step explanation:</u>
The y-intercept of the equation is when x = 0. It is the c-value when given in standard form: y = ax² + bx + c
To find the vertex, use the Axis of Symmetry equation to find the x-value
x = -b/(2a). Then plug the x-value into the equation to find the y-value.
5) y = 3x² - 12x + 40
↓ ↓ ↓
a=3 b= -12 c=40
Min: y = 3(2)² - 12(2) + 40
= 3(4) - 24 + 40
= 12 - 24 + 40
= 28
Vertex: (2, 28) y-intercept = 40
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6) y = -x² + 4x + 7
↓ ↓ ↓
a= -1 b=4 c=7
Max: y = -(2)² + 4(2) + 7
= -(4) + 8 + 7
= -4 + 8 + 7
= 11
Vertex: (2, 11) y-intercept = 7