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3 years ago

Please help me i don’t understand this

Mathematics

1 answer:

Ad libitum [116K]3 years ago

8 0

Answer:

$\sin(47) = \frac{y}{5} \\ 0.7 \times 5 = y \\ y = 3.5$

${5}^{2} = {3.5}^{2} + y {}^{2} \\ \\ {x }^{2} = 25 - 12.25 \\ 12.75 \\ = 3.5$

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What can you say about the end behavior of the function f(x)=-4x^6+6x^2-52

shepuryov [24]

Answer:

As x gets smaller, pointing to negative infinity, the value of f decreses, pointing to negative infinity.

As x gets increases, pointing to positve infinity, the value of f decreses, pointing to negative infinity.

Step-by-step explanation:

To find the end behaviour of a function f(x), we calculate these following limits:

$\lim_{x \to +\infty} f(x)$

And

$\lim_{x \to -\infty} f(x)$

In this question:

$f(x) = -4x^{6} + 6x^{2} - 52$

At negative infinity:

$\lim_{x \to -\infty} f(x) = \lim_{x \to -\infty} -4x^{6} + 6x^{2} - 52$

When the variable points to infinity, we only consider the term with the highest exponent. So

$\lim_{x \to -\infty} -4x^{6} + 6x^{2} - 52 = \lim_{x \to -\infty} -4x^{6} = -4*(-\infty)^{6} = -(\infty) = -\infty$

So as x gets smaller, pointing to negative infinity, the value of f decreses, pointing to negative infinity.

Positive infinity:

$\lim_{x \to \infty} f(x) = \lim_{x \to \infty} -4x^{6} + 6x^{2} - 52 = \lim_{x \to \infty} -4x^{6} = -4*(\infty)^{6} = -(\infty) = -\infty$

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3 years ago

Find the slope for 11-12

Rama09 [41]

Step-by-step explanation:

To find the gradient:

y2-y1/x2-x1

Pick any two coordinates

11)

(4,3) and (1,-1)

-1-3= -4

1-4= -3

-4/-3 = 1.3(1dp)

12)

(0,1) and ( 2,-2)

-2-1= -3

2-0= 2

-3/2= -1.5

Might be wrong but this is what I got from what I have learnt.

Hope this helps! :)

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