What is the solution to the system of
equations shown below?
S23
2x + 2y = 12
6x - 2y = 20

Answer:

what's your question mean I don't understand it

Step-by-step explanation:

Have a great day

Answer:

The only pair of functions that are inverses of each other are the ones for option D.

Step-by-step explanation:

Two functions, f(x) and g(x), are inverses if and only if:

f( g(x) ) = x

g( f(x) ) = x

So we need to check that with all the given options.

A)

[tex]f(x) = \frac{x}{7} + 10 \\g(x) = 7*x - 10\\[/tex]

then:

[tex]f(g(x)) = \frac{7*x + 10}{7} -10 = x + \frac{10}{7} - 10[/tex]

This is clearly different than x, so f(x) and g(x) are not inverses.

B)

[tex]f(x) = \sqrt[3]{11*x} \\g(x) = (\frac{x}{11} )^3[/tex]

Then:

[tex]f(g(x)) = \sqrt[3]{11*(\frac{x}{11})^3 } = \sqrt[3]{\frac{x^3}{11^2} } = \frac{x}{11^{2/3}}[/tex]

This is different than x, so f(x) and g(x) are not inverses.

C)

[tex]f(x) = \frac{7}{x} -2 \\g(x) = \frac{x + 2}{7}[/tex]

Then:

[tex]f(g(x)) = \frac{7}{\frac{x + 2}{7} } - 2 = \frac{7*7}{x + 2} - 2[/tex]

Obviously, this is different than x, so f(x) and g(x) are not inverses.

D)

[tex]f(x) = 9*x - 6\\g(x) = \frac{x + 6}{9}[/tex]

Then:

[tex]f(g(x)) = 9*\frac{x + 6}{9} - 6 = x + 6 - 6 = x\\g(f(x)) = \frac{(9*x - 6) + 6}{9} = x[/tex]

In this case we can conclude that f(x) and g(x) are inverses of each other.

Answer:

8x+20

36

Step-by-step explanation:

4(2x) + 4(5)

= 8x +20

Hence,

Substituting 2 into 8x+20:

8(2)+20

= 36

Feel free to mark it as brainliest :D

Answer:

29.2 metres squared

Step-by-step explanation:

because 3 decimetre equal 1 metre, 7 metres and 3 decimetre equal 7.3 metres.

now we just use the area formula to solve.

Area = Length × Width = 7.3 × 4 = 29.2 metres squared

Answer:

y= x/2-5

Step-by-step explanation:

Answer:

y=x²+7

Step-by-step explanation:

I'm pretty sure this is the answer

Answer: C 22.5 ft2!

Step-by-step explanation:

i took the test, have a great day:) <3

Answer:

right

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

-16+3= -13

-13+3= -10

the next number would be -7

Answer:

-19

Step-by-step explanation:

It's going by three's

Answer:

180° - 130 = 50°

Step-by-step explanation:

Assuming they are adjacent: 180° - 130 = 150°

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

The distance between the two towns is of 1000 km.

Step-by-step explanation:

This question is solved by proportions, using a rule of three.

We have that:

3 cm represents a distance of 400 km.

What is the distance represented by 7.5 cm?

3 cm - 400 km

7.5 cm - x km

Applying cross multiplication:

[tex]3x = 400*7.5[/tex]

[tex]x = \frac{400*7.5}{3}[/tex]

[tex]x = 1000[/tex]

The distance between the two towns is of 1000 km.

Reflect over x-axis rule: (x,y) -> (x,-y)

(-5,3) --> (-5,-3)

(-2,-6) --> (-2,6)

(-4,-8) --> (-4,8)

Answer:

69g/cm is 6.9kg/m

Step-by-step explanation:

[tex]1 g --> \frac{1}{1000}kg\\\\69g --> \frac{69}{1000}kg\\\\1cm --> \frac{1}{100}m\\\\\frac{69 g}{1cm} = \frac{\frac{69}{1000} }{\frac {1}{100}} = \frac{69}{1000} \times \frac{100}{1} = \frac{69}{10} = 6.9kg/m[/tex]

Answer:

[tex]69 \: g {cm}^{ - 1} \\ 69 \times {10}^{ - 3} \times ({10}^{ - 2} ) ^{ - 1} kg \: {m}^{ - 1} \\ 69 \times {10}^{ - 1} \: kg {m}^{ - 1} \\ 6.9 \: kg {m}^{ - 1} [/tex]

Answer:

28

Step-by-step explanation:

Since this is a right triangle, we can use the pythagorean theorem

a^2 +b^2 = c^2  where a and b are the legs and c is the hypotenuse

a^2 + 45^2 = 53^2

a^2 +2025=2809

a^2 = 2809-2025

a^2 =784

Take the square root of each side

sqrt(a^2) = sqrt(784)

a =28

Answer:

Hello! answer: 175 cm2

Step-by-step explanation:

9 × 7 = 63 63 ÷ 2 = 31.5 31.5 × 4 = 126

7 × 7 = 49 126 + 49 = 175 therefore the area is 175 Hope that helps! And I believe the unuts would be cm2 but don't quote me on it

Answer: 1,152 notebooks

Step-by-step explanation:

You just do 144 x 8. I’m not really sure what they mean when they say use breaking apart method. Maybe break them up into 8 group of 144. Then just add 144 together 8 times instead of multiplying hope this helps. :)

Answer:

Equation of the parabola:  or

Vertex form:

Intercept form:Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

7.43

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

7.43

Step-by-step explanation:

So lets go over a few things:

In decimal form, you start of in the tenths.

So in this case that is 4.

After tenths, is hundreths, thousandths, ten thousandths, etc.

Since hundreths comes after the tenths, that will be 2.

Any number 5 or greater will be rounded up, and any number below 5 is rounde down.

Now, to find if we raise or lower the hundreths(which is 2), we must see if the thousandth splace is above or lower than 5.

We can see that our thousandths is 8.

Since 8 is higher than 5, the 2 in our hundreths place will go up to 3.

So we get:

7.43

Hope this helps!

Answer:

Below.

Step-by-step explanation:

1. Prasha's result is better as she tossed the coin the most times.

The result which gives a better estimate of obtaining tail is that which provides a greater probability, hence, Stuart's result is better.

Recall :

Stuart's throw:

Maxine's throw :

The result with higher probability gives the better estimate of obtaining tail.

Therefore, Stuart's result will be a better estimate.

Learn more : https://brainly.com/question/18153040

Answer:

[tex]\frac{5}{8}[/tex]

Step-by-step explanation:

Hi there!

We're given that there are 8 marbles in total. 2 marbles are yellow and 3 are red, making the number of red AND yellow marbles 5 (2+3=5)

Because 5 out of the 8 marbles are yellow or red, the probability of choosing one of them is [tex]\frac{5}{8}[/tex].

I hope this helps!

Answer:

P(Red or Yellow) = 5/8

Step-by-step explanation:

2 (yellow) + 3 (red) = 5

Hence, the probability is 5/8

Feel free to mark it as brainliest :D

Answer:

Step-by-step explanation:

Answer:

15 cubes

Step-by-step explanation:

The volume of a rectangular prism is given as :

V = Lenght * width * height

V = 3/2 * 5/2 * 1/2

V = 15 / 8 cm³

Volume of a cube = a³

Where, a = side length of cube

a = 1/2 cm

V = a³ = (1/2)³ = (1/2 * 1/2 * 1/2) = 1/8

Volume of pyramid / volume of cube

15 / 8 ÷ 1 / 8

15 / 8 * 8 / 1

= 15

Answer:

13

Step-by-step explanation:

42 - (32 + 4) + 7 =

42 - 36 + 7 =

13

Answer:

15.

Step-by-step explanation:

Since 32 + 4 are in parenthesis, you'd do that first. 32 plus 4 equals 36, which subtracted from 42 is equal to 8. 8 plus 7 is 15. Therefore, your answer is 15.

I hope this helped, have a nice day.

Answer: I'm sorry I don't know but il try and calculate the answer for you

Step-by-step explanation: