Show that 4x - x? – 7 is always negative. Help

Mathematics

1 answer:

Verizon [17]3 years ago

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Question No 7

Answer:

Please check the explanation.

Step-by-step explanation:

Show that 4x - x² - 7 is always negative.

Given

4x - x² - 7

4x - x² - 7 is always negative because:

-x²-7 will alwas be negative for all the values of x,

The value of - x² - 7 will always be less than 4x for all the values of x

Hence, 4x - x² - 7 is always negative

For example,

let suppose we enter x = 1

$4(1)-1^{2} -7\\=4-1-7\\=4-8\\=-4$

let suppose we enter x = -1

$4(-1)-(-1)^{2} - 7\\= -4 - 1 - 7\\= -12$

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Algebra is a topic that covers linear equations, system of equations, sequences, exponential functions, polynomials, quadratic, exponents, radicals, functions, and more. I'm going to give use algebraic formulas and not all the topics.

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