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inysia [295]
3 years ago
15

The product of 2 times a and 5 times b

Mathematics
1 answer:
geniusboy [140]3 years ago
6 0

Answer:

2a * 5b

Step-by-step explanation:

2 times a = 2a

5 times b = 5b

The phrase "the product" shows the 2 elements are being multiplied together.

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Part 3 - Discussion/Explanation Question
SpyIntel [72]

Step-by-step explanation:

Vertical asymptote can be Identites if there is a factor only in the denominator. This means that the function will be infinitely discounted at that point.

For example,

\frac{1}{x - 5}

Set the expression in the denominator equal to 0, because you can't divide by 0.

x - 5 = 0

x = 5

So the vertical asymptote is x=5.

Disclaimer if you see something like this

\frac{(x - 5)(x + 3)}{(x - 5)}

x=5 won't be a vertical asymptote, it will be a hole because it in the numerator and denominator.

Horizontal:

If we have a function like this

\frac{1}{x}

We can determine what happens to the y values as x gets bigger, as x gets bigger, we will get smaller answers for y values. The y values will get closer to 0 but never reach it.

Remember a constant can be represent by

a \times  {x}^{0}

For example,

1 = 1 \times  {x}^{0}

2 =  2 \times {x}^{0}

And so on,

and

x =  {x}^{1}

So our equation is basically

\frac{1 \times  {x}^{0} }{ {x}^{1} }

Look at the degrees, since the numerator has a smaller degree than the denominator, the denominator will grow larger than the numerator as x gets larger, so since the larger number is the denominator, our y values will approach 0.

So anytime, the degree of the numerator < denominator, the horizontal asymptote is x=0.

Consider the function

\frac{3 {x}^{2} }{ {x}^{2}  + 1}

As x get larger, the only thing that will matter will be the leading coefficient of the leading degree term. So as x approach infinity and negative infinity, the horizontal asymptote will the numerator of the leading coefficient/ the leading coefficient of the denominator

So in this case,

x =  \frac{3}{1}

Finally, if the numerator has a greater degree than denominator, the value of horizontal asymptote will be larger and larger such there would be no horizontal asymptote instead of a oblique asymptote.

8 0
2 years ago
An office supply company is shipping a case of wooden pencils to a store. There are 64 boxes of pencils in a case. If each box o
I am Lyosha [343]
The wooden pencils weigh 10 pounds all together.
3 0
3 years ago
Read 2 more answers
A group of people were given a personality test to determine if they were Type A or Type B. The results are shown in the table b
klemol [59]

The option third "P(Male or Type B) < P(Male | Type B)" is correct because 0.575 < 0.76

<h3>What is probability?</h3>

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

P(Male or Type B) = (number of male + number of type B - number that are both)/total population

\rm = \dfrac{103 + 50- 38}{200 }

= 0.575

P(Male | Type B) = (number of male people inside the type B)/(number of Type B people)

= 38/(38 + 12)

= 0.76

0.575 < 0.76

P(Male or Type B) < P(Male | Type B)

Thus, the option third "P(Male or Type B) < P(Male | Type B)" is correct because 0.575 < 0.76

Learn more about the probability here:

brainly.com/question/11234923

#SPJ1

4 0
2 years ago
Find f(-3) for f(x)=3x^2+5x-14
Afina-wow [57]

Answer:

-2

Step-by-step explanation:

f(x)=3x^2+5x-14

f(-3)=3(-3)^2+5(-3)-14

f(-3)=3(-3)(-3)-15-14

f(-3)=3(9)-29

f(-3)=27-29

f(-3)=-2

8 0
3 years ago
Read 2 more answers
The domain for f(x) and g(x) is the set of all real numbers. let f(x) = 3x + 5 and g(x) = x2. find g(x) − f(x). x2 − 3x − 5 3x3
Karo-lina-s [1.5K]
F (x)=3x+5
g (x)=x^2

g (x)-f (x)=(x^2)-(3x+5)
=x^2-3x-5
6 0
2 years ago
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