Help me Find the answer, Here's the question!

Mathematics

1 answer:

Gelneren [198K]3 years ago

6 0

Because the answers are all in standard form, we can simply look for the intercepts of the graph.

x-int = (-6, 0)
y-int = (0, -2)

You must multiply these numbers by a coefficient to equal 12:

$-6y = 12$
$-2x = 12$

Solve both equations by dividing by their values:

$y = -2$
$x = -6$

Look for the answer with these coefficients. The answer is -6x - 2y = 12.

You might be interested in

Find second derivation for function f(x)=x²-(2/x)

Vera_Pavlovna [14]

Hi there!

$\large\boxed{f''(x) = 2 - \frac{4}{x^{3}}}$

$f(x) = x^2 - \frac{2}{x}$

Recall the power rule:

$\frac{dy}{dx} x^n = nx^{n-1}$

Rewrite the function for ease of differentiation:

$f(x) =x^2 - 2x^{-1}$

Use the power rule:

$f'(x) = 2x + 2x^{-2}$

Take the derivative once more:

$f''(x) = 2 - 4x^{-3}$

Rewrite:

$f''(x) = 2 - \frac{4}{x^{3}}$

8 0

3 years ago

Which of the following is a polynomial function? Select all correct answers. Select all that apply: f(x)=4⋅11x f(x)=3⋅18x f(x)=1

kaheart [24]

Answer:

All of them are polynomial functions

Step-by-step explanation:

Remember that a polynomial function of x is a function whose value f(x) is always equal to $f(x)=a_0+a_1x+a_2x^2+\cdots a_nx^n$ for a fixed n≥0 (the degree of f) and fixed coefficients $a_i\in\mathbb{R}$

For example, $f(x)=x^2+3x$ is a polynomial function, but $g(x)=2^x+x$ is not because $2^n$ is not a nonnegative power of x. Another example of a non-polynomial function is $g(x)=x^{-1}=\frac{1}{x}$ .

f(x)=4⋅11x is polynomial with degree 1 and $a_0=0,a_1=4\cdot 11$ . For the same reasons, f(x)=3⋅18x and f(x)=10⋅17x are polynomial functions.

f(x)=−4x³−4x²+5x+1 is a polynomial function of degree 3 with $a_0=1,a_1=5, a_2=a_3=-4$ . and f(x)=−2x−1 is a polynomial function of degree 1 and coefficients $a_0=-1,a_1=-2$ .