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3 years ago

Use the distributive property to write an equivalent expression. 9(9x+2y-6)

Mathematics

1 answer:

Marizza181 [45]3 years ago

4 0

Step-by-step explanation:

Multiply the number outside the brackets to the numbers inside:

So,

9 * 9x = 81x

9 * 2y = 18y

9 x -6 = -54

So the simplified or equivalent expression is:

81x + 18y - 54

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Which graph represents y=3^ square root x

topjm [15]

Answer:

Please, see attached picture

Step-by-step explanation:

We can easily solve this question by using a graphing calculator or any plotting tool.

The equation is

y = 3 ^ √(x)

Which can also be represented as

y = 3 ^(x^(1/2))

7 0

3 years ago

Read 2 more answers

Omar has 2 3/4 cups of dough to make Dumplings. If he uses 3/16 cup of dough for each dumpling,how many whole dumplings can Omar

Brrunno [24]

Omar can make 14 whole dumplings. You change 2 3/4 cups to an improper fraction ( multiply the denominator and add the numerator ) and you get 11/4. Since you need 3/16 cups for one dumpling you have to find the greatest common denominator which is 16. You multiply 4 by 11 to get the numerator and end up with 44/16. Since you need 3/16 for one whole dumping you divide 44 by 3 and get 14.6 repeating. You cannot have a fraction of a dumpling so you round down and get the answer 14.

5 0

4 years ago

Find the volume of the solid obtained by rotating the region bounded by the given curves about the x-axis.

Nadusha1986 [10]

Answer: $9.6\pi$

Step-by-step explanation:

Given

Curve is $y=3-3x^2$

boundary is y=0 i.e.

$\Rightarrow 0=3-3x^2\\\Rightarrow x^2=1\\\Rightarrow x=\pm 1$

The volume of solid generated when rotated about the x-axis is

$\Rightarrow V=\int_a^b\pi y^2dx$

Putting values we get

$\Rightarrow V=\int_{-1}^{1}\pi (3-3x^2)^2dx\\\\\Rightarrow V=\int_{-1}^{1}\pi(9+9x^4-18x^2)dx\\\\\Rightarrow V=\pi \left [ \frac{9x^5}{5} - 6 x^3 + 9 x\right ]_{-1}^{1}\\\\\Rightarrow V=9.6\pi$

8 0

3 years ago

Helium decays to form lithium. 6 2 he → 6 3 li 0 -1 e this type of nuclear decay is called .

PSYCHO15rus [73]

To understand this question, we need some knowledge on radioactive decay. This type of nuclear decay is called a beta decay

<h3>Beta Decay</h3>

This is the process where a radioactive material is fired or naturally emits a beta particle which is equivalent to the lose of an electron and spontaneously becomes an entirely different element.

$^6_2He \to ^6_3 Li + ^0_-_1e$