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REY [17]
3 years ago
10

What substitution should be used to rewrite 16(x3 + 1)2 – 22(x3 + 1) – 3 = 0 as a quadratic equation?

Mathematics
2 answers:
densk [106]3 years ago
6 0

Answer:

u = (x3 + 1)

Step-by-step explanation:

This is correct, I just took the test! I hope this helps!

(this is the only place I could find this question, and this is the only correct answer to it)

Deffense [45]3 years ago
4 0

<u>ANSWER:  </u>

We need the substitution of x^{3} + 1 = t, to make given equation into quadratic equation.

<u>SOLUTION: </u>

Given, equation is  16\left(x^{3}+1\right)^{2}-22\left(x^{3}+1\right)-3=0 → (1)

Above given equation is having highest power as 6, so it is not an quadratic equation.

We need to perform an substitution so that above equation turns to quadratic equation.

We know that, general form of a quadratic equation is given by :

a x^{2}+b x+c=0, \text { where } a \neq 0 \text { and } a, b, c \text { are constants }

Now, compare the general form and the equation we have.

\text { When }\left(x^{3}+1\right) \text { is considered as a single unit, equation will have degree } 2

\text { So, let us put } x^{3}+1=t \text { in }(1)

\text { Then, }(1) \rightarrow 16 t^{2}-22 t-3=0

Where, a = 16, b = -22 and c =-3

Hence, we need the substitution of x^{3} + 1 = t, to make given equation into quadratic equation.

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2. What are the next two terms of the following sequence?-2,4,-8, 16, ...
Marat540 [252]

Answer:

<h2>(A.B.)-32, 64</h2>

Step-by-step explanation:

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Each next term is created by multiplying the previous term by (-2).

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My Notes The displacement from equilibrium of an oscillating weight suspended by a spring is given by y(t) = 1 4 cos(5t) where y
ikadub [295]

Answer:

y(0) = 0.25 feet

y(\frac{1}{4}) = 0.0789 \text{ feet}

y(\frac{1}{2}) =-0.2003 \text{ feet}

Step-by-step explanation:

We are given the following information in the question:

The displacement from equilibrium of an oscillating weight suspended by a spring =

y(t) = \displaystyle\frac{1}{4} \cos(5t)

where y is the displacement in feet and t is the time in seconds.

Here, cos is in radians.

1) t = 0

y(0) = \displaystyle\frac{1}{4} \cos(5(0)) = \frac{1}{4} \cos(0) = \frac{1}{4}(1) = \frac{1}{4}

y(0) = 0.25 feet

2) t = \frac{1}{4}

y(\displaystyle\frac{1}{4}) = \displaystyle\frac{1}{4} \cos(5(\frac{1}{4})) = \frac{1}{4} \cos(1.25) = \frac{1}{4}(0.31532236) =0.07883059

y(\frac{1}{4}) = 0.0789 \text{ feet}

3) t = \frac{1}{2}

y(\displaystyle\frac{1}{2}) = \displaystyle\frac{1}{4} \cos(5(\frac{1}{2})) = \frac{1}{4} \cos(2.5) = \frac{1}{4}(-0.80114362) = -0.200285905

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3 0
3 years ago
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BlackZzzverrR [31]

The first five multiples of 9 are 9 18 27 36 45 I hope that's what you mean.

The prime factors of 9 and 12 are

9: 3 * 3

12: 3 * 2 * 2

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The store sold 4 sets of cups ans 3 sets saucers. Answer

6 0
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Answer:

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8 0
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