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3 years ago

3/4 means the same as %?

Mathematics

2 answers:

pashok25 [27]3 years ago

6 0

3/4 is 75% . if you take 4 quarters ( 100%) then take 1 quarter away you’ll have 75%

Triss [41]3 years ago

5 0

Answer:

75%

Step-by-step explanation:

1/4 = 25%

2/4 = 50%

<u>3/4 = 75%</u>

4/4 = 1 = 100%

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4 years ago

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3 years ago

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

What is the equation of the perpendicular bisector of the segment joining points A(1, 1) and B(5, 7)?

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Bisector must pass through the mid-point, so we have to find out that mid-point of the segment:

mid point = x₁+x₂ / 2 , y₁+y₂/2
= 1 + 5 / 2 , 1 + 7 / 2
= 6/2 , 8/2
= (3, 4)

Slope of given segment = m = y₂-y₁ / x₂- x₁
m = 7-1 / 5-1
m = 6/4
m = 3/2

Now, segment which is perpendicular, will have the opposite & reciprocal slope, So, it would be: -2/3

We know, y - y₁ = m(x - x₁)
y - 4 = -2/3(x - 3)
y - 4 = -2/3x + 2
y = -2/3x + 6

In short, Your Final Answer would be: y = -2/3x + 6

Hope this helps!

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