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3 years ago

I need help ASAP please

Mathematics

2 answers:

galina1969 [7]3 years ago

6 0

I honestly don’t know

Sorry sweety

kifflom [539]3 years ago

6 0

In an exponential function, the base (number under the exponent) determines whether the function is growing or decaying.
When b > 1, it is growing.
When b < 1, it is decaying.
In this case, the base is 1.71, so this is a growth function.
To find the rate of change of a growth function, subtract 1 from the base. The growth rate of increase is 0.71, or 71%.

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-3+3w=-18 I need help please

Rzqust [24]

Answer:

w=-5

Step-by-step explanation:

3w=-18+3

3w=-15

w=-5

7 0

3 years ago

Read 2 more answers

(6,2),(3,5),(9,0),(5,7),(8,1) Domain and range

exis [7]

Step-by-step explanation:

domain(6,3,9,5,8)

range(2,5,0,7,1)

8 0

3 years ago

Show all work to identify the asymptotes and zero of the function f(x) = 6x / x^2 - 36

eduard

Answer:

Zero of the function f(x) is at x = 0

Vertical Asymptotes at x = ±6

Horizontal Asymptotes at y = 0

Step-by-step explanation:

<h3>Vertical Asymptotes </h3>

For a given function f(x):

Vertical Asymptotes are obtained at those values of x, where the function f(x) tends to infinity, I.e.,

When x approaches some constant value but the curve moves towards infinity.

If f(x) is a fraction, it'll tend to infinity when it's denominator becomes zero.

Vertical Asymptotes of the given function can be obtained by walking thru the following steps:

Step I

(Factorise the numerator and denominator)

$\mathsf{ f(x) = \frac{6x}{ {x}^{2} - 36 } }$

x² - 36 can be factorised into (x + 6)(x - 6)

and, ofcourse, we can write 6x as 6(x - 0)

$\mathsf{ f(x) = \frac{6(x - 0)}{ (x + 6)(x - 6) } }$

Step II

(Reduce the fraction to its simplest form by canceling out the common factors)

There aren't any common factors in the numerator and denominator in this case.

Step III

(Look for the values of x which cause the denominator to be zero)

If we put x = 6

denominator becomes 0

Also,

If we substitute x with -6

denominator becomes 0.

The two values of x indicate the two Vertical Asymptotes of the function f(x).

Therefore,

Vertical Asymptotes of the given function f(x) are:

$\boxed{ \mathsf{x = \pm6}}$

- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

<h3 /><h3>Horizontal Asymptotes:</h3>

Horizontal Asymptotes are obtained When x tends to infinity and y approaches some constant value.

I'll be using the concept of limits for this.

$\mathsf{y = \frac{6x}{ {x}^{2} - 36 } }$

dividing and multiplying by x² (Yep! so if x becomes infinity 1/ x and 1/ x² all such terms become 0, 'cause 1/ ∞ is 0)

$\implies \mathsf{y = lim_{x \rightarrow \infty }( \frac{ \frac{6x}{ {x}^{2} } }{ \frac{ {x}^{2} - 36 }{ {x}^{2} } } ) }$

$\implies \mathsf{y = lim_{x \rightarrow \infty }( \frac{ \frac{6}{ x } }{ 1- \frac{36 }{ {x}^{2} } } ) }$

Substitute x with ∞, you get zero/ 1

$\implies \boxed{\mathsf{y = 0}}$

So, the horizontal Asymptote of the function is y = 0, that is the x axis

- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

<h3>Zeroes of a function:</h3>

The values of x that reduces f(x) to zero are called the zeroes of f(x).

Here, only x = 0 acts as the zero of the function.

[NOTE:

For finding Vertical Asymptotes,Equate the denominator to 0. And
For finding Zeroes, Equate the numerator to 0]

__________________

[That's what it's graph looks like. ]

3 0

2 years ago

What's the GCF of 56 and 21?

Sedbober [7]

GCF means "greatest common factor."
When I learned this, I was told to try 5 numbers and see if they work and if not, it might be 1.
Those numbers are 2, 3, 5, 7, and 9.
2 goes into 56 but not 21.
3 goes into 21 but not 56.
5 doesn't go into 56 nor 21.
7 goes into both 56 and 21.
9 doesn't go into 56 nor 21.
So since 7 works with both numbers, try numbers divisible by 7 (i.e. 14, 21...)
14 goes into 56 but not 21.
21 goes into 21 but not 56.
You can't go any higher than that since then it would be going above 21.
So the GCF of 56 and 21 is 7.

5 0

3 years ago

How do you find the angle??

Karo-lina-s [1.5K]

Answer:

An obtuse triangle is a triangle that has a single obtuse angle, which is an angle that measures more than 90 degrees and less than 180 degrees. Obtuse triangles, also referred to as oblique triangles, can be recognized by their having a single significantly larger angle and two smaller angles. Since every triangle has a measurement of 180 degrees, a triangle can only have one obtuse angle. You can calculate an obtuse triangle using the lengths of the triangle's sides.

Square the length of both sides of the triangle that intersect to create the obtuse angle, and add the squares together. For example, if the lengths of the sides measure 3 and 2, then squaring them would result in 9 and 4. Adding the squares together results in 13.

Square the length of the side opposite the obtuse angle. For the example, if the length is 4, then squaring it results in 16.

Step-by-step explanation:

8 0

2 years ago