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3 years ago

(NEED HELP ASAP) What rule defines the function in each of the following graphs?

Mathematics

1 answer:

QveST [7]3 years ago

3 0

Hey there!!

The graph B is not a function as it doesn't pass the vertical line test, as there are two x values repeating.

We do not want value x repeating, if it does, it is not considered to be a function anymore.

Hope my answer helps!

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Which shows the following expression using positive exponents?

Hitman42 [59]

Answer:

1. option B is correct i.e., $\frac{-3a^{7}b^3b^1}{15a^{2}}$

2. option D is correct i.e., $\frac{a^3b^4}{ab^2}$ .

3. option B is correct i.e., $\frac{n^{10}}{16m^{6}}$ .

Step-by-step explanation:

1. Since the given equation is:

$\frac{-3a^{-2}b^3}{15a^{-7}b^{-1}}$

As we know that $a^{-x}=\frac{1}{a^x}$

So, the given equation can be represented as:

$\frac{-3a^{7}b^3b^1}{15a^{2}}$

2. Given equation is:

$\frac{a^3b^{-2}}{ab^{-4}}$

As we know that $a^{-x}=\frac{1}{a^x}$

so the given equation can be represented as:

$\frac{a^3b^4}{ab^2}$ .

3. Given equation is:

$(\frac{4mn}{m^{-2}n^6})^{-2}$

by using the properties $a^{-x}=\frac{1}{a^x}$ ,

and $a^x\times a^y=a^{x+y}$

$(\frac{4mn}{m^{-2}n^6})^{-2}$

= $(\frac{4n^1n^{-6}}{m^{-2}m^{-1}})^{-2}$

= $(\frac{4n^{1+(-6)}}{m^{-2+(-1)}})^{-2}$

= $(\frac{4n^{-5}}{m^{-3}})^{-2}$

= $\frac{4^{-2}n^{-5\times (-2)}}{m^{-3\times (-2)}}$

= $\frac{n^{10}}{16m^{6}}$ .

which is option B.

5 0

3 years ago

Read 2 more answers

Relationship B has a greater rate than Relationship A. This graph represents Relationship A.Which equations could represent Rela

d1i1m1o1n [39]

Answer:

y = 3x

y = 2.2x

y=1/2x

Step-by-step explanation:

i did the test thank me later

5 0

3 years ago

Solve log4 (y – 9) + log4 3 = log4 81.

avanturin [10]

$\text{Domain}\\\\y-9 > 0\to y>9\\\\------------------------\\\\\log_4(y-9)+\log_43=\log_481\qquad\text{use}\ \log x+\log y=\log(xy)\\\\\log_4[3(y-9)]=\log_481\qquad\text{use distributive property}\\\\\log_4(3y-27)=\log_481\iff3y-27=81\qquad\text{add 27 to both sides}\\\\3y=108\qquad\text{divide both sides by 3}\\\\\boxed{y=36}\in D\\\\Answer:\ \boxed{y=36}$

3 0

3 years ago

Read 2 more answers

Create a real-life situation that can be describe with the unit rate 9:1. Describe how quantities are related.

iris [78.8K]

I have 81¥ and I'm going to the US, so I need to convert my Yen into US Dollars, if i get 1 USD (US Dollar) for every 9¥, how many USD will i have if i convert all of my Yen?

4 0

3 years ago

Suzy poured a 16-ounce container of orange juice into 5 cups. She poured the same amount of juice into each cup. Write the ratio

kolbaska11 [484]

Answer:

3 1/5 ounces.

Step-by-step explanation:

That would be 16/5

= 3 1/5 ounces.

7 0

3 years ago