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3 years ago

What linear expression would you add to -4y +2 to have the sum y?

Mathematics

1 answer:

ICE Princess25 [194]3 years ago

8 0

Sana makatulong po sa inyo;)

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Find the domain of the function. (Enter your answer using interval notation.)

Andreas93 [3]

Answer:

$(-\infty,-9)\cup(-9,\infty)$

Step-by-step explanation:

The domain of a rational function is all real numbers <em>except </em>for when the denominator equals 0.

So, to find the domain restrictions, set the denominator to 0 and solve for x.

We have the rational function:

$s(y)=\frac{7y}{y+9}$

Set the denominator to 0:

$y+9=0$

Subtract 9:

$y\neq-9$

So, the domain is all real numbers except for -9.

In other words, our domain is all values to the left of negative 9 and to the right of negative 9.

In interval notation, this is:

$(-\infty,-9)\cup(-9,\infty)$

And we're done :)

4 0

3 years ago

27^x = 9^x − 4 Question 1 options: x = 8 x = 4 x = −4 x = −8

Mariulka [41]

Answer:

x = -8

Step-by-step explanation:

Given the equation:

$27^x=9^{x-4}$

Note that

$27=3^3\\ \\9=3^2,$

then

$27^x=(3^3)^x=3^{3x}\\ \\9^{x-4}=(3^2)^{x-4}=3^{2(x-4)}$

Rewrite the equation as

$3^{3x}=3^{2(x-4)},$

then

$3x=2(x-4)\\ \\3x=2x-8\\ \\3x-2x=-8\\ \\x=-8$

4 0

3 years ago

I need help with math

sergey [27]

Everyone needs help in math

4 0

3 years ago

21. Melanie is making homemade stickers, She uses

Sergio039 [100]

1: 5 2: 9 or 10

For question 1 we can round 115 to 100, 5x100 is 500 which is closer to 545 than 7x100 = 700.

7 0

3 years ago

You are a researcher studying the lifespan of a certain species of bacteria. A preliminary sample of 35 bacteria reveals a sampl

pickupchik [31]

Answer: Sample size would be 296.

Step-by-step explanation:

Since we have given that

Standard deviation = 4.8 hours

Margin of error = 0.65 hours

At 98% level of confidence, z = 2.33

So, It becomes,

$0.65=z\times \dfrac{\sigma}{\sqrt{n}}\\\\0.65=2.33\times \dfrac{4.8}{\sqrt{n}}\\\\\dfrac{2.33\times 4.8}{0.65}=\sqrt{n}\\\\n=(\dfrac{11.184}{0.65})^2\\\\n=17.206^2\\\\n=296.051$

Hence, sample size would be 296.

7 0

3 years ago