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2 years ago

What are the coordinates of the hole in the graph of the function?

Mathematics

1 answer:

xenn [34]2 years ago

8 0

Answer:

The answer to your question is: (5/2, -6)

Step-by-step explanation:

Given f(x) = (6x - 36) / (2x² - 17x + 30)

Factorize both, numerator and denominator

Numerator = 6(x - 6)

Denominator = 2x² - 12x - 5x + 30

= 2x(x - 6) - 5(x - 6)

= (x - 6) (2x - 5)

Now f(x) = 6(x - 6) / (x - 6) (2x - 5) Cancel (x - 6)

f(x) = 6 / 2x - 5

Find the hole 2x - 5 = 0

2x = 5

x = 5/2

In 5/2 there is a hole, in y is approximately -6

You might be interested in

What is the slope of a line that passes through (2,-5) and (6,-2)

andrey2020 [161]

Answer:

$\frac{3}{4}$

Step-by-step explanation:

You plug in the points in this equation $\frac{y2-y1}{x2-x1}$

So $\frac{-2-(-5)}{6-2}$ = $\frac{3}{4}$

7 0

2 years ago

Someone please help me quick!

Inessa [10]

Can you explain the question in words please?

5 0

2 years ago

In a town election ,Azeem got 42 percent of the vote cast and Hamza get the remaining votes . If the total number of votes cast

sveta [45]

Answer:

23,200

Step-by-step explanation:

percentage of vote in favor of Azeem = 42

Since total percentage is 100

and Hamza got remaining percentage points

it can be calculated by subtracting Azeem's percentage of vote from total percentage

mathematically we have

percentage of vote in favor of Hamza = total percentage of vote - percentage of vote in favor of Azeem = 100 - 42 = 58

Therefore Hamza got 58% votes

Total no of votes cast as given in problem = 40,000

Vote for Hamza = 58% of total votes = 58% of 40000

=>Vote for Hamza = (58/100) * 40000 = 23,200.

Votes obtained by hamza is 23,200

8 0

2 years ago

Denzel has a new puppy that weighs 12 pounds. The vet says that the puppy is now at about 20% of its adult weight. What will be

olchik [2.2K]

Answer:

60 pounds

Step-by-step explanation:

To find the adult weight, multiply 12 by 5.

Since 12 pounds is 20% of the adult weight, 100% of the adult weight would be 12 times 5.

12(5)

= 60

So, the adult weight of the puppy will be 60 pounds

7 0

2 years ago

6. a. Name a pair of equations that have exactly one point of intersection. How do you know?

True [87]

Answer:

A system of linear equations will have exactly one point of intersection, for example:

2x+y=5

-x+y=2

However, a system of linear equations with no solution will have no points of intersection, for example:

-4x+10y=6

2x-5y=3

Sorry about c. though I'm confused on how a pair of equations can have infinite points of intersection unless x or y equals all real numbers which could happen if x or y both equaled all real numbers maybe

And the point of interesection for the system of equations in the problem you attached as an image is (2,-1)

I attached a photo below, and one of how to graph it

4 0

2 years ago