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3 years ago

What substitution should be used to rewrite 4x^12-5x^6-14=0 as a quadratic equation?

Mathematics

2 answers:

faust18 [17]3 years ago

7 0

Answer:

K = x⁶ will be the substitution.

Step-by-step explanation:

The given equation is $4x^{12}-5x^{6}-14=0$

Now we have to convert it in a quadratic equation which should be in the form of $ax^{2} +bx+c=0$

We can rewrite the equation as

4(x⁶)² - 5(x⁶) - 14 = 0

Now we are clear that we have to substitute x⁶ = k to convert the equation in a quadratic equation

4K² - 5K - 14 = 0

Therefore, K = x⁶ will be the substitution.

GarryVolchara [31]3 years ago

3 0

let m = x^6

4m^2 -5m -14 =0

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F(x) =x2+2x-3 g(x)=3x-14

Leviafan [203]

The solution to the composite function f(g(x)) is 9x² - 78x + 165.

<h3>What is composite function?</h3>

A composite function is generally a function that is written inside another function.

Function composition is an operation that takes two functions f and g, and produces a function h = g ∘ f such that h(x) = g.

From the given composite function, the solution is determined as follows;

to solve for f(g(x)), we use the following methods.

f(x) = x² + 2x - 3, g(x) = 3x - 14

f(g(x)) = (3x - 14)² + 2(3x - 14) - 3

= 9x² - 84x + 196 + 6x - 28 - 3

= 9x² - 78x + 165

Thus, the solution to the composite function f(g(x)) is 9x² - 78x + 165.

Learn more about composite function here: brainly.com/question/10687170

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The complete question is below:

F(x) =x2+2x-3 g(x)=3x-14, find f(g(x))

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Radda [10]

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3 years ago

Given the original number n. Multiply the number by 9. Add 99. Divide this sum by 9. Subtract the original number, n, from the q

tangare [24]

Answer:

Step-by-step explanation:

Hello,

Given the original number n.

$\large \boxed{n}$

Multiply the number by 9.

$\large \boxed{9n}$

Add 99.

$\large \boxed{9n+99}$

Divide this sum by 9.

$\large \boxed{\dfrac{9n+99}{9}=n+11}$

Subtract the original number, n, from the quotient.

$\large \boxed{n+11-n=11}$

Thank you.

4 0

3 years ago

What is 5/6 of 15 in simplest form.

aksik [14]

12 1/2 because you do 5/6 x 15/1 which 6/3 equals 2 and 15/3 equals 5 so you do 5/2 x 5/1

6 0

3 years ago

Help please

ddd [48]

Answer:

B. When the peak temperature is 40°C, 72 units of electricity are used on average.

Step-by-step explanation:

We see the relationship is closer to linear in the interval 30 to 40

<u>Approximate points:</u>

(30, 34) and (34, 54)

<u>The slope of the line:</u>

m = (54 - 34)/(34- 30) = 20/4 = 5

y - 34 = 5(x - 30)
y = 5x - 116

<u>At x = 40, the value of y would be:</u>

y = 5*40 - 116 = 84

The closet option is B

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2 years ago