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4 years ago

Describe the graph of the function at its roots

Mathematics

1 answer:

Maslowich4 years ago

7 0

Answer:

Step-by-step explanation:

g(x) = (x + 4)4(x − 9)

At x = −4, the graph touches the x–axis.

At x = 9, the graph crosses the x–axis

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1-1/2 * 1-1/3 * 1-1/4* 1-1/5........1-1/999 How do you solve this?

seropon [69]

$1\dfrac{1}{2}\cdot 1\dfrac{1}{3}\cdot1\dfrac{1}{4}\cdot\ldots \cdot 1\dfrac{1}{999}=\\\\
\dfrac{3}{2}\cdot\dfrac{4}{3}\cdot\dfrac{5}{4}\cdot\ldots\cdot\dfrac{1000}{999}=\\\\
\dfrac{\dfrac{1000!}{2}}{999!}=\\\\
\dfrac{1000!}{2\cdot999!}=\\\\
\dfrac{1000}{2}=\\\\
500
$

7 0

3 years ago

Read 2 more answers

Is o.123 rational or irrational

Allushta [10]

The definition of a rational number is:
Any number that can be made by building a fraction
using whole numbers.

You can make 0.123 that way. Here's the fraction: 123/1000

It's also handy to know that any number that's completely
written down using digits ... and a fraction bar or a decimal
point if they're needed ... is a rational number. This is not a
definition, and it doesn't cover all rational numbers, but it's
handy sometimes.

It's also handy to know that a decimal that has a set of digits
after the decimal point that repeats forever is a rational number,
even though you can't completely write it down (because it never
ends).

6 0

3 years ago

Mr Patel is planning to drive 325 miles. He will stop one hour for lunch and take a 15 min rest break.

mr_godi [17]

Option D

The trip lasts for $6\frac{1}{4}\ hours$

Solution:

Mr Patel is planning to drive 325 miles

Average speed is 65 mph

He will stop one hour for lunch and take a 15 min rest break

Let us first find the time taken

$Time = \frac{distance}{speed}$

$Time = \frac{325}{65}\\\\Time = 5$

Thus he covers 325 miles in 5 hours

Also, given that, he will stop one hour for lunch and take a 15 min rest break

Therefore, total time taken for trip is:

Total time = 5 hours + 1 hour + 15 minutes

Total time = 6 hours 15 minutes

We know that,

1 hour = 60 minutes

Therefore,

$6\ hours\ 15\ minutes\ = 6 + \frac{15}{60}\ hours = 6 + \frac{1}{4} = 6\frac{1}{4}\ hours$

Thus the trip lasts for $6\frac{1}{4}\ hours$

8 0

4 years ago

A parabola can be represented by the equation y2 = –x. What are the coordinates of the focus and the equation of the directrix?

shutvik [7]

ANSWER

Focus:

$(- \frac{1}{4} ,0)$

Directrix:

$x=\frac{1}{4}$

EXPLANATION

The given parabola has equation:

${y}^{2} = - x$

We compare this to the general equation,

${y}^{2} = - 4px$

Comparing the coefficient of x, we have:

-4p=-1

$p = \frac{1}{4}$

The focus is (-p,0)

$(- \frac{1}{4} ,0)$

The equation of the directrix is

x=p

$x = \frac{1}{4}$

5 0

4 years ago

Read 2 more answers

Explain how to divide i still don't understand

iris [78.8K]

Dividing is just about how many times a number hours into a different number. For example- 7 divided by 28 = 4 because 7 can go Into 28 4 times...hope this helps

4 0

3 years ago