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3 years ago

Which statement is true about the graphed function?

Mathematics

1 answer:

zubka84 [21]3 years ago

7 0

Answer:

Option A.

Step-by-step explanation:

In the given graph there are four intervals in which we have to find the nature of function.

1). In the interval (-∞, -0.7)

f(x) < 0

Because for every value of x, value of the function is negative.

2). In the interval (-0.7, 0.76)

f(x) > 0

For each value of x, value of the function is greater than 0.

3). In the interval (0.76, 2.5)

f(x) < 0

Because in this interval value of the function is negative.

4). Interval (2.5, ∞)

f(x) > 0

Because value of the function for every value of x, is greater than 0.

When we compile all four properties Option A. comes out to be the right option.

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6x2y^3/3xy Use Laws of exponents. answer is 2xy^2 but I don't know how to get it. My initial answer was 4y^2

allsm [11]

Step-by-step explanation:

$\frac{6x^{2}y^{3}}{3xy}$

If it helps, write as a product of fractions, grouped by variable.

$\frac{6}{3} \frac{x^{2}}{x} \frac{y^{3}}{y}$

Now reduce using exponent rules.

$2xy^{2}$

4 0

3 years ago

Find Horizontal and Vertical asymptotes for y=(x^2 -9)/(4x^2 +1)

Gnom [1K]

Answer: Horizontal asymptote is $\dfrac{1}{4}$ and vertical asymptotes are $\pm \dfrac{1}{2i}$

Step-by-step explanation:

Since we have given that

$y=\dfrac{x^2-9}{4x^2+1}$

We need to find the horizontal and vertical asymptotes.

Since vertical asymptotes will occur where the denominator becomes zero.

So, here denominator is $4x^2+1$

Now,

$4x^2+1=0\\\\4x^2=-1\\\\x^2=\dfrac{-1}{4}\\\\x=\pm \dfrac{1}{2i}$

And the horizontal asympototes will occur when the coefficient of higher degree of numerator is divided by coefficient of higher degree of denominator.

$y=\dfrac{1}{4}$

Hence, horizontal asymptote is $\dfrac{1}{4}$ and vertical asymptotes are $\pm \dfrac{1}{2i}$

8 0

3 years ago

If 2n = 54/9 then n = ______

Fantom [35]

Answer:

1). 3

2). 6

3). 9

Step-by-step explanation:

ksjsjsjsjs

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3 years ago

What mathematical process is the following formula performing: C2*D3?

tiny-mole [99]

Answer is D because C^2 ×D^2 the * mean ×

8 0

3 years ago

Read 2 more answers

[4 - (3c - 1)][6 - ( 3c - 1)]

Anestetic [448]

Hi there!

You would have to simplify the terms inside [ ] this thing, then multiply.

So let's simplify them first.

4 - (3c - 1)
use distributive property.....
4 - 3c + 1
-3c + 5

6 - (3c - 1)
use distributive property again...
6 - 3c + 1
-3c + 7

so now, multiply (-3c + 5)(-3c + 7).
(-3c + 5)(-3c + 7)
9c² - 21c - 15c + 35
9c² - 36c + 35

So your final answer is...
9c² - 36c + 35

Hope this helped! :)

3 0

4 years ago

Read 2 more answers