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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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Tan 1.1 – tan 4.6/
VladimirAG [237]

The value of the given equation is –0.37458.

Solution:

Given equation is:

$\frac{\tan 1.1-\tan 4.6}{1+\tan 1.1 \tan 4.6}

Let us first find the values.

The value of tan 1.1 = 1.96475

The value of tan 4.6 = 8.86017

Substitute these values in the given equation.

$\frac{\tan 1.1-\tan 4.6}{1+\tan 1.1 \tan 4.6}

            $=\frac{1.96475-8.86017}{1+1.96475 \times 8.86017}

            $=\frac{-6.89542}{1+17.4080}

            $=\frac{-6.89542}{18.4080}

            = –0.37458

$\frac{\tan 1.1-\tan 4.6}{1+\tan 1.1 \tan 4.6}=-0.37458

Hence the value of the given equation is –0.37458.

7 0
3 years ago
What is 3√20 - 3√45 + 5√12 in simplest radical form? Show all work.
lesya692 [45]

Answer: -3√5 + 10√3

Step 1: Find the prime factorization of the number inside the radical.

Step 2: Determine the index of the radical. In this case, the index is two because it is a square root, which means we need two of a kind.

Step 3: Move each group of numbers or variables from inside the radical to outside the radical. In this case, the pair of 2’s and 3’s moved outside the radical.

Step 4: Simplify the expressions both inside and outside the radical by multiplying.


8 0
3 years ago
Question in picture
Sidana [21]
Answer A. is correct I’m pretty sure
6 0
2 years ago
Read 2 more answers
Let g(x)=9x−10 and evaluate g(x+h)−g(x)/h
castortr0y [4]

Answer:

\frac{g(x+h)-g(x)}{h}=9

Step-by-step explanation:

we have

g(x)=9x-10

To find out g(x+h) substitute the variable x by the variable (x+h) in the function g(x)

so

g(x+h)=9(x+h)-10

g(x+h)=9x+9h-10

Evaluate

\frac{g(x+h)-g(x)}{h}

we have

g(x+h)=9x+9h-10

g(x)=9x-10

substitute in the expression

\frac{9x+9h-10-(9x-10)}{h}

\frac{9x+9h-10-9x+10)}{h}

\frac{9h}{h}

9

therefore

\frac{g(x+h)-g(x)}{h}=9

3 0
3 years ago
Your hands are slow,
Aleks [24]

Answer:

whats the question?

Step-by-step explanation:

have a good day!!!  

(PS or is this just a tip?)

3 0
2 years ago
Read 2 more answers
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