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3 years ago

Need help :)........

Mathematics

1 answer:

katrin2010 [14]3 years ago

5 0

The graph of a quadratic equation will always cross the x-axis, that’s false because only the y-axis can cross into in only one place.

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A truck is bought at the price of $60,000. The value decreases at the rate of .25 every year (t). The exponential expression 60,

navik [9.2K]

Answer:

$33750

Step-by-step explanation:

Replace t with 2. The correct formula is

$60000(.75)^t$ (t is an exponent)

With t = 2, the value of the truck is

$60000(.75)^2=33750$

4 0

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:

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

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

8 0

3 years ago

A line passes through the points (8, –1) and (–4, 2). A coordinate plane. What is the y-intercept of this line?

lora16 [44]

Answer:

y-intercept is 1

Step-by-step explanation:

We need to find the equation of the line first.

<h3>Gradient</h3>

The gradient is found using the formula:

$m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

$m=\frac{-1-2}{8--4}$

$m=-\frac{1}{4}$

So the equation is y = $-\frac{1}{4}$ x + c

<h3>Finding c</h3>

To find c we need to substitute the value of x and y into the equation:

-1 = $-\frac{8}{4}$ + c

-1 = -2 + c

1 = c

And c is the y-intercept so it is 1

8 0

3 years ago

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Rectangle A has side length of 6 cm and 3.5 cm. The side lengths of rectangle Bare proportional to the sides of rectangle A What

Alex_Xolod [135]

Answer:

hindi ko po alam ang sagot sorry po

8 0

3 years ago

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Simplify <br> (2/3 +1/6) please<br> brnialest<br> .

iren [92.7K]

Answer:

5/6

Step-by-step explanation:

3 0

3 years ago

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Need help :)........