How many grams of salicylic acid should be added to 75 g of a polyethylene glycol ointment to prepare an ointment containing 6%

On a coordinate plane, parallelogram H I J K is shown. Point H is at (negative 2, 2), point I is at (4, 3), point J is at (4, ne

tester [12383]

The characterization of HIJK as a parallelogram arises from the fact that the midpoints of both diagonals coincide at (1, 0), which indicates that these diagonals bisect each other. To explicitly demonstrate this, we determine that the midpoints of the diagonals HJ and IK are equal, confirming HIJK's properties as a parallelogram.

6 0

2 months ago

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Shannon manages a small zoo and she has been analyzing the attendance data. Shannon finds that the number of visitors increases

AnnZ [12381]

To plot the two functions, you need to assign values for x. By selecting various x values, corresponding y values are calculated. You then plot the points as shown. The blue line illustrates the function f(x) = 3x, while the orange line indicates f(x) = -x + 4.

These two lines intersect at the coordinates (1,3). To solve for this analytically, we establish the system of equations:

y = 3x
y = -x + 4

By setting these two equations for y equal to each other:

3x = -x + 4
4x = 4
x = 1

Next, substituting x into one of the original equations gives us: y = 3x = 3(1) = 3. Therefore, the solution is (1,3), meaning at a temperature of 3 units, the number of visitors entering matches those exiting the zoo, indicating a balance of one person entering for each one leaving.

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2 months ago

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Barrett works at an ice cream shop. The function f(x) represents the amount of money PLEASE HELP!!!!!!!!!!!!!

PIT_PIT [12445]

Response:

$f(g(x))=6x^3+4$ , indicating the amount of earnings per working hours, designated as x

Detailed Explanation:

We have two distinct functions to analyze:

$f(x)=2x^2 +4$

This function delineates the earnings based on units of x

Then the second function is

$g(x)=\sqrt{3x^3}$

which illustrates the quantity of gallons of ice cream produced by Barrett each hour, with x representing the hours worked.

Our aim is to determine the composite function

$f(g(x))$

resulting from substituting the output of $g(x)$ as input for $f(x)$ . Within this framework, the function $f(g(x))$ signifies the amount of money accrued per number of working hours, x.