All categories

3 years ago

Please can you fully factorise these equasions?

2 answers:

5 0

$1)\\ 36x^3-6x=6x(6x^2-1)=6x[( \sqrt{6} \cdot x)^2-1^2]=6x(x \sqrt{6} -1)(x \sqrt{6} +1)\\ \\2)\\12x^3+15x^2=3x^2(4x+3)\\ \\3)\\8x-10x^2=2x(4-5x)$

Murljashka [212]3 years ago

3 0

$36x^3-6x=6x(6x^2-1)=6x[(x\sqrt6)^2-1^2]=6x(x\sqrt6-1)(x\sqrt6+1)\\\\12x^3+15x^2=3x^2(4x+5)\\\\8x-10x^2=2x(4-5x)$

You might be interested in

Study the function below. f(x) = –3x Label the function as proportional or non-proportional. Explain your reasoning.

Nimfa-mama [501]

Y = f(x) = -3x y = -3x y = (constant) x y is proportional to x. Hence we can say Y is proportional to x , having (-3) as proportionality Constant. hope this helps

3 0

3 years ago

What is the solution to the equation 2x-3/4 ?

amm1812

The solution to this equation is in the picture i’ve put below!

7 0

3 years ago

Kenya jumped 7 1/6 feet. Janet jumped 6 1/3 feet. How much farther did Kenya jump?

jolli1 [7]

Kenya jumped 5/6feet further

5 0

3 years ago

Read 2 more answers

Given limit f(x) = 4 as x approaches 0. What is limit 1/4[f(x)]^4 as x approaches 0?

stepladder [879]

Answer:

$\displaystyle 64$

General Formulas and Concepts:

Calculus

Limits

Limit Rule [Variable Direct Substitution]: $\displaystyle \lim_{x \to c} x = c$

Limit Rule [Variable Direct Substitution Exponential]: $\displaystyle \lim_{x \to c} x^n = c^n$

Limit Property [Multiplied Constant]: $\displaystyle \lim_{x \to c} bf(x) = b \lim_{x \to c} f(x)$

Step-by-step explanation:

Step 1: Define

Identify

$\displaystyle \lim_{x \to 0} f(x) = 4$

Step 2: Solve

Rewrite [Limit Property - Multiplied Constant]: $\displaystyle \lim_{x \to 0} \frac{1}{4}[f(x)]^4 = \frac{1}{4} \lim_{x \to 0} [f(x)]^4$
Evaluate limit [Limit Rule - Variable Direct Substitution Exponential]: $\displaystyle \lim_{x \to 0} \frac{1}{4}[f(x)]^4 = \frac{1}{4}(4^4)$
Simplify: $\displaystyle \lim_{x \to 0} \frac{1}{4}[f(x)]^4 = 64$

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Limits

Book: College Calculus 10e

3 0

3 years ago

Y=f(x)=(1/6)^x find f(x) when x=1/4

SashulF [63]

I think it is 0.64..

5 0

3 years ago

Read 2 more answers