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3 years ago

Write a linear factorization of the function. f(x) = x^4 + 64x^2

2 answers:

6 0

we are given with the function f(x) = x^4 + 64x^2 and is asked to factor the function. The greatest common factor of the terms is x^2 . hence taking out x^2 from the set, the result is x2 *(x2 + 64).(x2 + 64) is equal to (x+8)^2 - 16x. hence the linear factorization is x^2 * ( (x+8)^2 - 16x)

Gelneren [198K]3 years ago

3 0

Hello,

y=x^4+64x&
In IR, y=x^2(x^2+64).

In C, y=x²(x+8i)(x-8i)

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It is given that y is inversely proportional to the square of x and that y=48 when x=<img src="https://tex.z-dn.net/?f=%5Cfrac%7

Anna [14]

Answer:

$a. y = 12\times \frac{1}{x^2} \\b. x = 2 , when \ y =3$

Step-by-step explanation:

$y \ is\ inversely \ proportional \ to \ square \ of \ x \ means , y \ \alpha \ \frac{1}{x^2}$

$Therefore, y = k \times \frac{1}{x^2}$

Given y = 48, x = 1/2. We will find k.

$y = k \times \frac{1}{x^2}\\\\48 = k \times \frac{1}{\frac{1}{4}}}\\\\k = 48 \times \frac{1}{4} =12$

Find x.

$y = k \times \frac{1}{x^2} \\\\3 = 12 \times \frac{1}{x^2}\\\\\frac{3}{12} = \frac{1}{x^2}\\\\x^2 = \frac{12}{3}\\\\x^2 = 4 \\\\x = 2$

5 0

3 years ago

How would I plot and label the numbers 6.5 & 8.5 on a number line to write a inequality using the symbol “>” to compare t

scZoUnD [109]

Answer:

To label 6.5 on a number line, put the plot between the 6 and 7.

Same thing goes for 8.5, except the plot would go between the 8 and 9.

8.5 > 6.5

Step-by-step explanation:

1.) Since 8.5 and 6.5 are decimals, they are not a whole number which is why they go right in the middle of the two numbers they are behind and in front of.

2.) > means greater than, and 6.5 is smaller than 8.5 therefore we use the greater than sign, pointed towards the 8.5.

I hope this helps! :)

4 0

3 years ago

#7) Solve 8c - 3c + 3 = 13.

nordsb [41]

Hello!

$\large\boxed{c = 2}$

8c - 3c + 3 = 13

Begin by combining like terms:

5c + 3 = 13

Subtract 3 from both sides:

5c + 3 - 3 = 13 - 3

5c = 10

Divide both sides by 5:

5c/5 = 10/5

c = 2.

6 0

3 years ago

What is 8(2x+5)=16x+40?

polet [3.4K]

Answer:

x = infinite amount of solutions

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define Equation

8(2x + 5) = 16x + 40

Step 2: Solve for x

Distribute 8: 16x + 40 = 16x + 40
Subtract 40 on both sides: 16x = 16x
Divide 16 on both sides: x = x

Here we see that x does indeed equal x.

∴ x has an infinite amount of solutions.

3 0

3 years ago

What is the standard form of (1+2√-3)/(1+√-3)

miv72 [106K]

1.75+0.43301270i
hope this helped and let me know if i was right plz

7 0

4 years ago

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