Find the maximum value of P=3x+2y subject to the following constraints: Please help me!!!

Let

t--------> the time measured in hours

d-------> the distance in miles

we understand that

this represents a linear equation corresponding to the situation

where time t is the independent variable and distance d is the dependent variable

The distance in function notation can be expressed as

Using a graphical tool

refer to the attached image

The function's domain extends over the interval----------> [0,∞)

The range of this function is defined by the interval------->  [0,∞)

Statements

a) The independent variable, the input, is the variable d, which signifies distance

This statement is incorrect

Because the independent variable is actually t

b) The distance covered is contingent on the duration of time Marlene spends riding her bike

This statement is correct

Because the equation for distance in function notation is equal to

c) The initial speed relevant to the scenario is 16 miles per hour

This statement is incorrect

Because indicates the slope or rate of the linear equation

d) The equation t = d + 16 relates to the scenario

This statement is incorrect

Because the situation is represented by the function

e) The function f(t) = 16t relates to the scenario

This statement is correct

The calculated 95% confidence interval for the percentage of coffee drinkers expressing addiction ranges from 21% to 31%. By defining the sample proportion and acknowledging a sample size of 675, while also factoring in a maximum margin of sampling error set at ±5%, the final confidence interval for addiction rates among all surveyed coffee drinkers is established.

The accurate statements are 0.75 (x,y) = (0.75x, 0.75y), LM is parallel to L'M', and "the vertices of the image are nearer to the origin relative to the pre-image".

Explanation:

It is stated that the triangle ABC underwent dilation as per the rule DO,0.75 (x,y)

DO, 0.75(x,y) signifies the dilation rule, where both x and y values are scaled by 0.75, indicating that the dilation, centered around the origin, has a scale factor of 0.75. The representation for this dilation would be,

Consequently, the first statement holds true.

Since both x and y coordinates are scaled down by 0.75, the sides of the image are parallel, but shorter, with a scale of 0.75 compared to the pre-image’s sides.

Thus, the second statement "LM is parallel to L'M'" is also accurate, while the third and fifth statements are incorrect.

The scale factor of 0.75, being less than 1, suggests that the vertices of the image are closer to the origin compared to those of the pre-image.

Hence, the fourth statement "The vertices of the image are nearer to the origin compared to the pre-image" is indeed correct.

Short Answer: Current speed = 3 miles per hour. Given details for downstream distance of 4.48 miles at time 0.32 hours and upstream distance of the same 4.48 miles taking 0.56 hours. Using the equation d = r*t, we equate distances for both directions leading to a function in terms of the current speed. With each correction to solve ultimately yields the current speed as 3 mph.

77%

I prefer using ratios and cross multiplication for scenarios like this. Divide the part (1001) by the whole (1300), and set that equal to x percent of 100 percent.

1001/1300 = x/100
100100 = 1300x
x = 77