What would be the best method to solve
the system of equations below?
6x + 3y = 21
2x – 3y = -13

Answer:

The equivalent functions are;

[tex]g(x) = 3^{-2 \cdot x }[/tex]

[tex]g(x) = 9^{-x}[/tex]

[tex]g(x) = \left (\dfrac{1}{9} \right )^x[/tex]

Step-by-step explanation:

The given function is f(x) = (1/3)^(2·x)

[tex]f(x) = \dfrac{1}{3} ^{2 \cdot x}[/tex]

The given  function can be simplified as follows;

[tex]f(x) = \dfrac{1}{3} ^{2 \cdot x} = 3^{-1 \cdot2 \cdot x } = 3^{-2 \cdot x } = g(x)[/tex]

∴ [tex]f(x) = \dfrac{1}{3} ^{2 \cdot x}[/tex] ≡  [tex]g(x) = 3^{-2 \cdot x }[/tex]

2) The given  function can also be simplified as follows;

[tex]f(x) = \dfrac{1}{3} ^{2 \cdot x} = \left (\dfrac{1}{3} ^2\right )^x = \left (\dfrac{1}{9} \right )^x = (9^{-1}) ^x} = 9^{-1 \times x} = 9^{-x} = g(x)[/tex]

∴ [tex]f(x) = \dfrac{1}{3} ^{2 \cdot x}[/tex] ≡ [tex]g(x) = 9^{-x}[/tex]

3) The given  function can also be simplified as follows;

[tex]f(x) = \dfrac{1}{3} ^{2 \cdot x} = \left (\dfrac{1}{3} ^2\right )^x = \left (\dfrac{1}{9} \right )^x = g(x)[/tex]

∴ [tex]f(x) = \dfrac{1}{3} ^{2 \cdot x}[/tex] ≡ [tex]g(x) = \left (\dfrac{1}{9} \right )^x[/tex]

Based on the question, each person will have 2/3 of the item

From the given information, we are told that 2 items are being divided equally among 3 people. This can be expressed as:

For each person;

x = 1 person

Take the ratio to have:

2/x = 3/1

3x = 2

x = 2/3

This shows that each person will have 2/3 of the item

Learn more on ratio here: https://brainly.com/question/2914376

Answer:

2/3  

Step-by-step explanation:

The yellow one with red.

Answer:

uhhh ok

Step-by-step explanation:

Answer

That's simple the answer is  

Step-by-step explanation:

Answer:

its a or c

Step-by-step explanation:

Answer:

x = 1

Step-by-step explanation:

1 - 5 = -4

Answer:

x = 1

Step-by-step explanation:

x - 5 = -4 *add 5 to both sides*

x = 1

hope this helps!

Answer: 4,2 the corresponding sides are not parallel

Step-by-step explanation:

Answer:

I'm pretty sure it is 85 feet

Answer:

I think it's A 3,4,6 could be the length of the triangle

9514 1404 393

Answer:

  1.725×10²

Step-by-step explanation:

Your calculator or a spreadsheet can format the result of this division in scientific notation for you.

For the powers of 10, the applicable rule of exponents is ...

  (10^a)/(10^b) = 10^(a-b)

__

  [tex]6.900\times10^{10}\div4.000\times10^8=\dfrac{6.9}{4}\times10^{10-8}\\\\=\boxed{1.725\times10^2}[/tex]

Step-by-step explanation:

so pretty much y= is the line that goes up and it has its own numbers right. the x= is the line that goes at the bottom right right

Answer:

50

Step-by-step explanation:

5* ( 7+3)

5* 10

50.

.so the answer is 50

Answer:

50

Step-by-step explanation:

5 x (h + 3) = 5 x (7 + 3)

= 5 x (10)

= 50

I already answered on your other post on the same question, your answer is option B!

Answer:

I cant get the pic

Step-by-step explanation:

Answer:

1 monkey because it ate one of the cats

Step-by-step explanation:

Answer:

3 cats in 3corners

Step-by-step explanation:

the question is incorrect the correct question is  IN A SQUARE ROOM THERE ARE 4 CATS IN EVERY CORNER?

Hey there !!!!

If you read that there are 4 cats in the room and in front of each cat is another 3 cats, then it might lead you to the answer of 16. This is not correct.

You will have reached this answer if you assumed that there was 3 cats in front of every cat in the corner. That would mean 4 cats in every coner.

You can reach this answer by dissecting each statement in the riddle. The first statement, “In a square room there are 4 cats in every corner of the room,” then we know that the room is square with 4 corners and that there are 4 cats to begin with.

The second statement of the riddle reads “In front of each cat there are 3 cats.” As we already know from the first statement that there are 4 cats in the room, each cat will see the other 3 cats in the other 3 corners of the room.

hope it helped

Answer:

64 divided by 4=16

144 divided by 9=16

Step-by-step explanation:

Answer:

I believe it is slope

Step-by-step explanation:

Answer:

≈ 33°

Step-by-step explanation:

So, first, you can draw a visual. Refer to the image attached below:

Using this info, you can use trigonometric ratios. Recall that:

tangent = opposite side/adjacent side

sine = opposite side/ hypotenuse

cosine = adjacent side/hypotenuse

You can clearly see that you have an opposite side and a given hypotenuse. This means we'll be using sine.

So:

[tex]sinX = \frac{150}{275}[/tex]

However, we're not trying to find sinX, we're trying to find X.

So we would have to use inverse sine, which would then be:

[tex]X = sin-1 (\frac{150}{275} )[/tex]

Put this into your calculator, and:

X ≈ 33.05573115...

Answer:

5.667 yards of fabric was used to make a cape

Step-by-step explanation:

(Total Yard of Fabric)1/3 = (What's Used)

Total Yard Fabric = 17

What's Used = x

1 third = 1/3

(17)1/3 = x

x = 17/3 or about 5.667 yards of fabric used

Double Check:

5.667/17 = 0.3334 which is about 1/3

If you want to find how much he has left:

1 - 1/3 = 2/3

17(2/3) = x

x = 34/3 or about 11.333 yards of fabric left.

Double Check:

11.333/17 = 0.6666 which is about 2/3

Answer:

12.63

Step-by-step explanation:

Answer:

x=30° y=150°

Step-by-step explanation:

The inside angles of a triangle always add up to 180. So 65+85+x=180. x would equal 30. Next a line is always 180 degrees. So to two angles on the line must total to 180 degrees. We know x is 30 degrees, so y is the remaining angle. 30 + y = 180. y is 150.

Answer:

x=30° y=150°

Step-by-step explanation:

mark is 26=x and marissa id 33

if you take 59 take away 7 you get 52

then you wil devide 52 and get 26

you will use the 7 you took out earlier and add it to one of the 26 which will give you mark(26=x) and marissas(33) age .

"A number" means the unknown.

"Difference" means to subtract.

We already know two numbers, 8 and 14, but we don't know "A number."

We can put v as our variable. You can put any type of letter.

Therefore, the answer is: v - 8 = 14

B. 3

__________________

Answer:

the building is thirty feet tall

Step-by-step explanation:

so make a ratio of shadow to joey

5:45

simplify that to

1:9

so you can now divide 270 by nine

30

the building is thirty feet tall

Answer:

Ix-y=6, Ly=x-4

Step-by-step explanation: