Mathematics, 13.06.2021 22:40, person779

Hello help me with these ones pls

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answered: teneshiathomas

(-1,3)

Step-by-step explanation:

Solve for x in the first equation

3x = 6 - 3y

9x - 5y= -24

Replace all occurrences of x with 2 - y in each equation

9(2 - y) - 5y = -24

x = 2 - y

Simplify the left side

18 - 4y = -24

x = 2 - y

Solve for y in the first equation

-14y = -42

x = 2 - y

y=3

x = 2- y

Replace all occurrences of y with 3 in each equation

x=-1

y=3

(-1,3)

Hope this helps!

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answered: 182075

Simplifying

3x + 6 = 9x + -24

Reorder the terms:

6 + 3x = 9x + -24

Reorder the terms:

6 + 3x = -24 + 9x

Solving

6 + 3x = -24 + 9x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-9x' to each side of the equation.

6 + 3x + -9x = -24 + 9x + -9x

Combine like terms: 3x + -9x = -6x

6 + -6x = -24 + 9x + -9x

Combine like terms: 9x + -9x = 0

6 + -6x = -24 + 0

6 + -6x = -24

Add '-6' to each side of the equation.

6 + -6 + -6x = -24 + -6

Combine like terms: 6 + -6 = 0

0 + -6x = -24 + -6

-6x = -24 + -6

Combine like terms: -24 + -6 = -30

-6x = -30

Divide each side by '-6'.

x = 5

Simplifying

x = 5

answered: Guest

answer: the answer is (b) amie should have multiplied

$54~\textup{m}^3~\textup{by}~\dfrac{4}{3}\pi.$

step-by-step explanation: given a sphere and a cylinder with same radius and height.

let, 'r' be the radius of the cylinder and sphere and 'h' be the height of the cylinder. according to the question,

r = h.

now, the volume of the sphere will be

$v_s=\pi r^2h=\pi r^3,$

and the volume of the cylinder will be

$v_c=\dfrac{4}{3}\pi r^3=54~\textup{m}^3.$

therefore, we have

$v_c=\dfrac{4}{3}v_s=\dfrac{4}{3}\times 54=72~\textup{m}^3.$

thus, ammie should have multiplied the volume of the sphere $54~\textup{m}^3~\textup{by}~\dfrac{4}{3}\pi.$

answered: Guest

correct choice is b

step-by-step explanation:

when you calculate the average rate of change of a function, you are finding the slope of the secant line between the two points. for the function $y=f(x)$ the average rate of change from point $a(a,f(a))$ to point $b(b,f(b))$ can be calculated as

$\text{average rate of change}=\dfrac{f(b)-f(a)}{b-a}.$

to find the average rate of change from day 2 to day 10, note that at day 2, 8 houses were sold, so a(2,8) and at day 10, 2 houses were sold, so b(10,2). thus,

$\text{average rate of change}=\dfrac{2-8}{10-2}=\dfrac{-6}{8}=-\dfrac{3}{4}.$

The graph below shows the number of houses sold over x days. what is the average rate of change from

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