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3 years ago

Eight rooms in a house need to be painted.Each room can be painted white oryellow.

Mathematics

1 answer:

AnnyKZ [126]3 years ago

3 0

Answer:

256

Step-by-step explanation:

This is just a simply problem using powers.

We have 8 rooms here, to be painted with white or yellow. so we have first 2 possibilities of colors.

We can paint the room, the eight room with just yellow, or just white. But we can also paint one room with white and 8 with yellow. And we vary and alter the order of this.

Regardless the order in which we paint the room, we have 8 rooms and only two possibilities to paint the rooms, so the math involved is just:

P = 2⁸ = 256

These are the total possibilities to paint the rooms with just these colors.

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The rule for Function A is y= -2/3x

Rom4ik [11]

Answer:

Both functions have negative rates of change

Function B has a greater rate of change than Function A

Step-by-step explanation:

we know that

Function A

The rule for Function A is

$y=-\frac{2}{3}x$

This is the equation of a proportional relationship (the line passes through the origin)

The slope is equal to $m=-\frac{2}{3}$

Function B

Find the equation of the function B

we have the points (-2,0) and (0,-2)

Find the slope

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute the values

$m=\frac{-2-0}{0+2}$

$m=\frac{-2}{2}$

$m=-1$

The equation of the function B in slope intercept form is equal to

$y=mx+b$

we have

$m=-1\\b=-2$

substitute

$y=-x-2$

Verify each statement

Option 1) Both functions have negative rates of change

The statement is true

Because, the rate of change is the slope of the linear equation

Function A ----> $m=-\frac{2}{3}$

Function B ----> $m=-1$

Option 2) Both functions have the same rate of change.

The statement is false (see the explanation)

The rate of change are different ( m=-2/3 and m=-1)

Option 3) When graphed, Function A and Function B are parallel

The statement is false

When graphed, Function A and Function B are intersecting lines, because their slopes are different

Option 4) Function B has a greater rate of change than Function A

The statement is true

Remember that the rate of change can be either positive (increasing function) or negative (decreasing function). To find out which function has a greater rate of change, compare the absolute value of their slopes

therefore

1 > 2/3

6 0

4 years ago

BRAINLIEST Solve for X. Round to the nearest tenth.

Kryger [21]

Step-by-step explanation:

2 things to remember for problems like this :

the sum of all angles in a triangle is always 180 degrees.

the law of sines :

a/sin(A) = b/sin(B) = c/sin(C) or upside-down (whatever fuss the situation better), with the sides being always opposite of the angles.

so, now for the given problems :

x/sin(90) = 12/sin(29)

x/1 = x = 12/sin(29) = 24.75198408...

rounded x = 24.8

the opposite angle of x is

180 - 90 - 16 = 74 degrees.

x/sin(74) = 37/sin(90) = 37

x = 37×sin(74) = 35.56668275...

rounded x = 35.6

the opposite angle of x is

180 - 90 - 58 = 32 degrees.

x/sin(32) = 22/sin(58)

x = 22×sin(32)/sin(58) = 13.74712574...

rounded x = 13.7

the opposite angle of 15 is

180 - 90 - 51 = 39 degrees.

x/sin(51) = 15/sin(39)

x = 15×sin(51)/sin(39) = 18.52345735...

rounded x = 18.5

4 0

3 years ago

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e-lub [12.9K]

Answer:

a nd c

Step-by-step explanation:

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3 years ago

Given the function f(x) = x3 + 2x2 − 3x − 5, what is resulting function when f(x) is shifted to the right 1 unit?

cluponka [151]

When shifted to the right 1 unit it would be:
f(x - 1) = (x - 1)^3 + 2(x - 1)^2 - 3(x - 1) - 5
= (x^3 - 3x^2 + 3x - 1) + 2(x^2 - 2x + 1) - 3(x - 1) - 5 
= x^3 - 3x^2 + 2x^2 + 3x - 4x - 3x - 1 + 2 + 3 - 5 
= x^3 - x^2 - 4x - 1
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3 years ago

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Write the words as decimals

cestrela7 [59]

8. 2,164.8

9. 304.07

10. $421.37

I hope this helps!!!

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4 years ago

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Eight rooms in a house need to be painted.Each room can be painted white oryellow.​

Eight rooms in a house need to be painted.Each room can be painted white oryellow.