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4 years ago

Determine the range of the function graphed above.

Mathematics

1 answer:

Sever21 [200]4 years ago

8 0

Answer:

D. (-∞,4]

Step-by-step explanation:

The range is the y values

The lowest y values is negative infinity

The highest y values is 4

( - inf, 4]

We use the parentheses since we cannot get to negative infinity, the bracket since we reach 4

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Pls help these are my teachers instructions

Yanka [14]

The mistake he did, was in calculating powers, when 12 is taken to numerator it becomes -12 and 6-12 is -6 and not 6 so power of x should be -6 i.e x^-6 and not x^6

So, the correct answer is $=\frac{27}{4x^{6}y^{8}}$

Step-by-step explanation:

We need to simplify:

$\frac{4(3x^2y^4)^3}{(2x^3y^5)^4}$

Solving:

$\frac{4(3x^2y^4)^3}{(2x^3y^5)^4}$

Multiplying power with the terms inside the bracket.

$=\frac{4(3^3x^6y^{12})}{2^4x^{12}y^{20}}\\=\frac{4(27x^6y^{12})}{16x^{12}y^{20}}\\=\frac{108x^6y^{12}}{16x^{12}y^{20}}$

Now combining powers of same variable i.e if $\frac{x^a}{x^b}=x^{a-b}$

Solving:

$=\frac{108x^{6-12}y^{12-20}}{16}\\=\frac{108x^{-6}y^{-8}}{16}\\Divide\,\,by\,\,4:\\=\frac{27x^{-6}y^{-8}}{4}$

The exponent rule says: if $x^{-1} \,\,then\,\, \frac{1}{x}$

$=\frac{27}{4x^{6}y^{8}}$

The mistake he did, was in calculating powers, when 12 is taken to numerator it becomes -12 and 6-12 is -6 and not 6 so power of x should be -6 i.e x^-6 and not x^6

So, the correct answer is $=\frac{27}{4x^{6}y^{8}}$

Keywords: Exponents

Learn more about Exponents at:

#learnwithBrainly

3 0

3 years ago

Will mark Brainliest and 50 points please help

allochka39001 [22]

Answer:

The answer would be $37.14

4 0

3 years ago

When do we need slope in our everyday lives?

zalisa [80]

In building roads people have to figure out how steep the road will be. Skiers or snowboarders think about the slopes of hills in order to judge the dangers, speeds, etc.

5 0

3 years ago

Read 2 more answers

I need help please and thank you

Luda [366]

Answer:

Step-by-step explanation:

Pythagorean Theorem states that a^2 + b^2 = c^2. Using the numbers that you're given you should have an equation of a^2 + 9^2 = 15^2.

Once you square your terms you should have a^2 + 81 = 225

You can find a^2 by subracting b^2 from c^2. So 225 - 81 = 144

Then you find the square root of 144, which is 12.

8 0