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2 years ago

Can someone help me please ? It would be greatly appreciated:-)

Mathematics

1 answer:

WITCHER [35]2 years ago

7 0

I think it might be a ? it sounds the most reasonable .

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Find the value of c that makes x^2–6x + c a perfect square trinomial and write as a binomial squared.

denpristay [2]

Answer: 9

Step-by-step explanation:

Given

The function is $x^2-6x+c$

To make it a perfect square, compare it with $(a-b)^2=a^2+b^2-2ab$

Here,

$x=a,\\-6x=-2ab\\\\\therefore b=3$

So, c must be square of b i.e. 9

$x^2-6x+c\Rightarrow x^2-6x+9\\\Rightarrow (x-3)^2$

Therefore, value of c is 9.

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2 years ago

What is the volume of a box measuring 1mX5mX6m?

Flauer [41]

Hey!

To find volume, you have to multiply the length, width, and height. All you have to do is multiply the 3 numbers together.

$1 \times 5 \times 6 = 30$

<em>The volume is 30 m³.</em>

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6 0

3 years ago

What is the equation of a line that has a slope of 0 and a y-intercept of 4

finlep [7]

Answer:

y = 4

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7 0

3 years ago

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Factor completly: x^2-2x-24

melisa1 [442]

<span>x^2-2x-24 = (x - 6)(x + 4)

cause
</span>(x - 6)(x + 4)
= x^2 - 6x + 4x - 24
= x^2 - 2x - 24

answer
(x - 6)(x + 4)

hope it helps

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3 years ago

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Express the negations of each of these statements so that all negation symbols immediately precede predicates. a) ∀x∃y∀zT(x, y,

Gnesinka [82]

Answer:

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∀x∃y ∃z ¬T(x, y, z)

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∀x∀y ¬ [P(x, y) ∨ Q(x, y)]

∀x∀y [¬P(x, y) ^ ¬Q(x, y)]

c) ∀x ¬∃y (P(x, y) ^ ∃zR(x, y, z))

∀x ∀y ¬(P(x, y) ^ ∃zR(x, y, z))

∀x ∀y (¬P(x, y) v ¬∃zR(x, y, z))

∀x ∀y (¬P(x, y) v ∀z¬R(x, y, z))

d) ∀x¬∃y (P(x, y) → Q(x, y))

∀x∀y ¬(P(x, y) → Q(x, y))

∀x∀y (¬P(x, y) ^ Q(x, y))

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2 years ago

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