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Mathematics

1 answer:

schepotkina [342]2 years ago

6 0

1 meter is equal to 0.001 kilometers

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Gracie plans to buy a new pair of shoes for $75.00, however, the manager sells them to her for

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15% reason 75 minus 60=15

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2 years ago

Will mark brainliest

Cerrena [4.2K]

Answer:

see explanation

Step-by-step explanation:

The Remainder theorem states that if f(x) is divided by (x - h) then

f(h) is the remainder, thus

division by (x - 1) then h = 1

f(1) = 4(1)³ - 7(1)² - 2(1) + 6

= 4 - 7 - 2 + 6 = 1 ← remainder

The factor theorem states that if (x - h) is a factor of f(x), then f(h) = 0

Here f(1) = 1

Hence (x - 1) is not a factor of f(x)

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2 years ago

Consider the first five steps of the derivation of the Quadratic Formula.

lara31 [8.8K]

Answer:

Full proof below

Step-by-step explanation:

$\displaystyle ax^2+bx+c=0\\\\ax^2+bx=-c\\\\x^2+\biggr(\frac{b}{a}\biggr)x=-\frac{c}{a}\\\\x^2+\biggr(\frac{b}{a}\biggr)x+\biggr(\frac{b}{2a}\biggr)^2=-\frac{c}{a}+\biggr(\frac{b}{2a}\biggr)^2\\\\x^2+\biggr(\frac{b}{a}\biggr)x+\frac{b^2}{4a^2}=-\frac{c}{a}+\frac{b^2}{4a^2}\\ \\\biggr(x+\frac{b}{2a}\biggr)^2=-\frac{4ac}{4a^2}+\frac{b^2}{4a^2}\\ \\\biggr(x+\frac{b}{2a}\biggr)^2=\frac{b^2-4ac}{4a^2}\\ \\x+\frac{b}{2a}=\pm\frac{\sqrt{b^2-4ac}}{2a}\\ \\x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$