y^2 = x isn't a function because there is at least one value of x that produces multiple values of y. In fact, any x value greater than 0 yields two y values. If x = 0, then y = 0 is the only solution. ... Graphically, the equation fails the vertical line test, which is another way to determine that it is not a function.
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Answer:
C
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Given
y = 2x² + 12x + 1
To express in vertex form use the method of completing the square.
The coefficient of the x² term must be 1 , thus factor out 2 from 2x² + 12x
y = 2(x² + 6x) + 1
add/ subtract ( half the coefficient of the x- term)² to x² + 6x
y = 2(x² + 2(3)x + 9 - 9) + 1
= 2(x + 3)² - 18 + 1
= 2(x + 3)² - 17 → C
Answer:
The expression
does not represent a percent increase greater than 12%.
Step-by-step explanation:
We are asked to find whether the expression
represent a percent increase greater than 12% if the original amount is x.
First of all, we will find 12% increase. The total amount after x% increase would be original amount plus 12% of original amount.


Since 1.12 is greater than 1.016, therefore, the expression
does not represent a percent increase greater than 12%.
We can rewrite
as:

Let us convert
to percent by multiplying by 100.

Since 1.6% is less than 12%, therefore, the expression
does not represent a percent increase greater than 12%.