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3 years ago

What are the zero(s) of the function f(x) = the quantity of 4 x squared minus 36 x, all over x minus 9?

Mathematics

2 answers:

ohaa [14]3 years ago

7 0

You only need to consider when the numerator is 0
4x^2-36x=x (4x-36)
x=0 only. vertical asymptote at x=9

alina1380 [7]3 years ago

3 0

Answer:

x=0 is the root for the given function

Explanation:

We have been given with the function

$\frac{4x^2-36x}{x-9}$ taking out 4x as the common factor from numerator then we will get

$\frac{4x(x-9)}{(x-9)}$

Now cancel out the common factor from numerator and denominator we will get

4x=0

$\Rightarrow x=0$

Hence, x=0 is the zero of the given function

Zero of the function is solution of the function the point where function gives the value zero

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This math promblem!!!!

fiasKO [112]

1. You convert all the numbers into decimals.
a. For 8 1/9 you multiply 8x9 and add the numerator which in this case is one, so the equation would be 8x9=72 then 72+1= 73
b. For 81/10 I used a calculator for accuracy and I just divided 81 by 10 because the fraction line can also be used as a division sign. For this I got 8.1
2. Now I looked at all the numbers I had including the fractions I converted to decimals... 8.115, 8.55, 73, and 8.1
3. Lastly, I put the numbers in order from least to greatest: 8.1, 8.115, 8.55, and 73
4. In order to figure out which one is the smallest and largest, I just added zeros on the end of the numbers so they would all be the same: 8.1-->8.100, 8.115 I kept the same because it already had 3 decimal places, 8.55--> 8.550, and 73--> 73.000
5. Then i could tell which number was the largest by the decimal place numbers.
**Hope this was helpful... It's kind of hard to explain online but hopefully you have a better understanding of how to do it!**

6 0

3 years ago

Read 2 more answers

How do I solve this problem correctly?

Anna71 [15]

Answer:

11%

14%

Step-by-step explanation:

To find a numbers percentage of another number you simply divide the smaller number by the bigger number then move the decimal point to the right 2 places.

Percentage of workers who prefer chicken soup who are part-time: 35÷500 = 0.07 move the decimal 2 to the right to get 7%.

Percentage of full-time workers who prefer mushroom soup: 55÷500 = 0.11 move the decimal 2 to the right to get 11%.

Percentage of workers who prefer lintel soup who are full-time: 25÷500 = 0.05 move the decimal 2 to the right to get 5%.

Percentage of part-time workers who prefer tomato soup: 70÷500 = 0.14 move the decimal 2 to the right to get 14%.

Hope this helps! :)

5 0

2 years ago

A fish tank holds 25 gallons of water. How many quarts of water does the fish tank hold?

Stels [109]

Answer:

100 gallons

Step-by-step explanation:

so 1 gallon equals 4quarts multiply that by 25 you get 100 so there you go

3 0

2 years ago

PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!!!!

Karolina [17]

Answer:

Both are correct because S is greater than P by 4 and P is smaller than S by 1/4.

Step-by-step explanation:

5 0

2 years ago

WILL MARK BRAINLIEST! Which of the following is the expansion of (3c+d^2)^6? USE BINOMIAL THEROEM

svetlana [45]

Answer:

(3c+d^2)6=729c^6+1458c^5d^2+1215c^4d^4+540c^3d^6+135c^2d^8+18cd^10+d^12

Step-by-step explanation:

The expansion is given by the following formula: (a+b)n=∑k=0n(nk)an−kbk,

where (nk)=n!(n−k)!k! and n!=1⋅2⋅3...n.

We have that a=3c, b=d2, n=6.

Therefore, (3c+d2)6=∑k=06(6k)(3c)6−k(d2)k

Now, calculate the product for every value of k from 0 to 6.

k=0: (60)(3c)6−0(d2)0=6!(6−0)!0!(3c)6(d2)0=729c6

k=1: (61)(3c)6−1(d2)1=6!(6−1)!1!(3c)5(d2)1=1458c5d2

k=2: (62)(3c)6−2(d2)2=6!(6−2)!2!(3c)4(d2)2=1215c4d4

k=3: (63)(3c)6−3(d2)3=6!(6−3)!3!(3c)3(d2)3=540c3d6

k=4: (64)(3c)6−4(d2)4=6!(6−4)!4!(3c)2(d2)4=135c2d8

k=5: (65)(3c)6−5(d2)5=6!(6−5)!5!(3c)1(d2)5=18cd10

k=6: (66)(3c)6−6(d2)6=6!(6−6)!6!(3c)0(d2)6=d12

Finally, (3c+d2)6=∑k=06(6k)(3c)6−k(d2)k=(60)(3c)6−0(d2)0+(61)(3c)6−1(d2)1+(62)(3c)6−2(d2)2+(63)(3c)6−3(d2)3+(64)(3c)6−4(d2)4+(65)(3c)6−5(d2)5+(66)(3c)6−6(d2)6=729c6+1458c5d2+1215c4d4+540c3d6+135c2d8+18cd10+d12

Answer is above :)

3 0

3 years ago