One more than one- fourth the square of a number x is y​

Question

One more than one-
fourth the square of a
number x is y​

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Raelynn 2 days 2021-10-12T08:54:24+00:00 1 Answer 0

Answers ( )

    0
    2021-10-12T08:56:18+00:00

    Answer:

    y = 1 + ¼x²

    Step-by-step explanation:

    Given

    One more than one-fourth the square of a number x is y​

    Required

    Represent algebraically

    We start by analysing the expression one after the other.

    First, the two numbers to compare are represented by x and y.

    Where y is the resulting number.

    So, we start with y =;

    Then we move backwards

    – “the square of a number, x” can be represented with x²

    – one-fourth “the square of a number, x”.

    The expression in quote has already been represented by x².

    So, we can replace this expression with x².

    This will give us: one-fourth of x²

    One-fourth means ¼

    Hence, one-fourth of x² = ¼ * x²

    – “One more than” means 1 has to be added to the previous expression to give y.

    In other words; 1 + ¼ * x²

    Finally, we’ll bring the expressions together to give

    y = 1 + ¼ * x²

    y = 1 + ¼x²

    Hence, “One more than one-fourth the square of a number x is y​” is represented in algebra by y = 1 + ¼x²

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