PLS HELP ASAP!! THXFor questions 6-9 refer to the box plots (Assume their positions are on the same number line). Write your responses in complete sentences using content specific vocabulary.

The domain is all real numbers. The range is also all real numbers.

Answer:

x = 10/9

Step-by-step explanation:

Solve for x:

(4 x)/5 + 4/3 = 2 x

Put each term in (4 x)/5 + 4/3 over the common denominator 15: (4 x)/5 + 4/3 = (12 x)/15 + 20/15:

(12 x)/15 + 20/15 = 2 x

(12 x)/15 + 20/15 = (12 x + 20)/15:

(12 x + 20)/15 = 2 x

Multiply both sides by 15:

(15 (12 x + 20))/15 = 15×2 x

(15 (12 x + 20))/15 = 15/15×(12 x + 20) = 12 x + 20:

12 x + 20 = 15×2 x

15×2 = 30:

12 x + 20 = 30 x

Subtract 30 x from both sides:

(12 x - 30 x) + 20 = 30 x - 30 x

12 x - 30 x = -18 x:

-18 x + 20 = 30 x - 30 x

30 x - 30 x = 0:

20 - 18 x = 0

Subtract 20 from both sides:

(20 - 20) - 18 x = -20

20 - 20 = 0:

-18 x = -20

Divide both sides of -18 x = -20 by -18:

(-18 x)/(-18) = (-20)/(-18)

(-18)/(-18) = 1:

x = (-20)/(-18)

The gcd of 20 and -18 is 2, so (-20)/(-18) = (-(2×10))/(2 (-9)) = 2/2×(-10)/(-9) = (-10)/(-9):

x = (-10)/(-9)

Multiply numerator and denominator of (-10)/(-9) by -1:

Answer: x = 10/9

Answer:

7 - n

Step-by-step explanation:

Answer:

The equation for g(x) is:

g(x)=(x+5)^2

Step-by-step explanation:

We are given the information about the graph of the function f(x) and g(x) as:

graph of function f of x open upward and has its vertex at (-7,0).

Graph of function g of x opens upward and has its vertex at (-5,0).

If f(x) = (x + 7)^2; which is a parabola with vertex at (-7,0).

Also as g(x) is formed by the translation of the function f(x) so it will also be a quadratic function such that it's vertex is (-5,0).

so, the equation of g(x) will be:

g(x)=(x+5)^2.

Hence, the translation is a shift of the function f(x) 2 units to the right.

Answer: the plasma membrane

Step-by-step explanation: It controls what enters and exits the cell based on what the cell requires to function and live. It functions as a boundary separating the external environment from the internal environment.

Final answer:

The main structure responsible for maintaining cell homeostasis is the cell membrane, which is selectively permeable, thus regulating molecules' movement across the membrane. The cytoplasm and nucleus also contribute to maintaining homeostasis.

Explanation:

The structure most responsible for maintaining cell homeostasis in any given cell is mainly the cell membrane. The cell membrane plays a key role in managing homeostasis through becoming selectively permeable. This means the cell membrane allows certain molecules to pass through via the constant movement of molecules across it, yet it restricts others. This selective process helps in maintaining the internal balance of the cell, ensuring that the essential molecules necessary for cellular processes are kept inside, and unnecessary or harmful molecules are kept out.

Besides the cell membrane, the cytoplasm and the nucleus also play parts in cellular homeostasis. The cytoplasm houses organelles and chemicals necessary for various metabolic reactions and protein syntheses. The nucleus, acting as the control center of the cell, holds the genetic material that dictates the cell's function and structure.

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Answer:x=5

Step-by-step explanation:

First we do the parenthesis

-4(7+2x)=-7x-33

To get

-28+-8x=7x+-33

and

-8x-28=-7x-33

Then we Add 7x to both sides.

-8x-28+7x=-7-33+7x

-x-28=-33

Then we Add 28 to both sides.

-x-28+28=-33+28

-x=-5

Lastly Divide both sides by -1.

-x/-1=-5/-1

X=5