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2 years ago

Simplify the quadratic term by squaring the (x+1) term.

Mathematics

1 answer:

tensa zangetsu [6.8K]2 years ago

6 0

Answer:

y = -2x^2 -4x +1

Step-by-step explanation:

y-3 = -2 (x+1)^2

Foil (x+1)^2

(x+1)(x+1) = x^2 +x+x+1 = x^2 +2x+1

Substitute this back in

y-3 = -2(x^2 +2x+1)

Distribute

y-3 = -2x^2 -4x -2

Add 3 to each side

y-3+3 = -2x^2 -4x -2+3

y = -2x^2 -4x +1

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Select the equivalent expressions for z divided by 144

Ivahew [28]

Answer:

A: 144/z

Step-by-step explanation:

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3 years ago

What is the greatest common factor of: 6c^3d - 12c^2d^2 + 3cd?

VMariaS [17]

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3 years ago

A 35 foot rope is cut into two pieces with one section 6 times as long as the other section, how is the shorter piece?

guajiro [1.7K]

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Define x:
-------------------------------------------
Let the shorter piece be x.
Shorter piece = x
Longer piece = 6x

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Construct equation:
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x +6x =35
7x = 35
x =5

-------------------------------------------
Find the length:
-------------------------------------------
Shorter length = x = 5 feet
Larger length = 6x = 6(5) = 30 feet

-------------------------------------------
Answer: The shorter piece is 5 feet.
-------------------------------------------

4 0

3 years ago

Please help me out please please !!!!!

Sauron [17]

The surface area of a sphere is given by

$S = 4\pi r^2$

We deduce

$r = \sqrt{\dfrac{S}{4\pi}}$

So, in your case, the radius is

$r = \sqrt{\dfrac{100\pi}{4\pi}}=\sqrt{25}=5$

The volume of a sphere is given by

$V=\dfrac{4}{3}\pi r^3$

So, we have

$V = \dfrac{4}{3} \pi 5^3 = \dfrac{500}{3}\pi$

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2 years ago

Before calculators were around, why was it's advantageous to use logarithms to calculate roots

neonofarm [45]

Because logarithms were a lot less time-consuming than other methods of finding roots. They were also more accurate in the sense that it was harder to make a mistake.

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3 years ago