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MAVERICK [17]
3 years ago
15

In an experiment, the one variable that is changed by the person doing the experiment is called the Question 2 options: controll

ed variable testing variable independent variable dependent variable
Mathematics
1 answer:
Ad libitum [116K]3 years ago
5 0

Answer: Independent Variable

Step-by-step explanation:

The independent (or manipulated) variable is something that the experimenter purposely changes or varies over the course of the investigation. The dependent (or responding) variable is the one that is observed and likely changes in response to the independent variable.

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A car rental agency has 150 cars. The owner finds that at a price of $48 per day, he can rent all the cars. For each $2 increase
hram777 [196]
Given that for each <span>$2 increase in price, the demand is less and 4 fewer cars are rented.

Let x be the number of $2 increases in price, then the revenue from renting cars is given by
(48 + 2x) \times (150 - 4x)=7,200+108x-8x^2.

Also, given that f</span><span>or each car that is rented, there are routine maintenance costs of $5 per day, then the total cost of renting cars is given by
5(150-4x)=750-20x

Profit is given by revenue - cost.
Thus, the profit from renting cars is given by
</span><span>(7,200+108x-8x^2)-(750-20x)=6,450+128x-8x^2

For maximum profit, the differentiation of the profit function equals zero.
i.e.
</span><span>\frac{d}{dx} (6,450+128x-8x^2)=0 \\  \\ 128-16x=0 \\  \\ x= \frac{128}{16} =8

The price of renting a car is given by 48 + 2x = 48 + 2(8) = 48 + 16 = 64.

Therefore, the </span><span>rental charge will maximize profit is $64.</span>
3 0
3 years ago
Simplify (7/2a)*(5/a^2)
anyanavicka [17]

Answer:

Go look on M a t h w a y

Step-by-step explanation:

M A t h w a y

3 0
2 years ago
Which equation represents a proportional relationship between the x and y values?
noname [10]
D So yea or A I think at least try D
6 0
2 years ago
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The graph of which function has a minimum located at (4, –3)?
valentinak56 [21]

Answer:

None of the options is the answer to the question

Step-by-step explanation:

we know that

The equation of a vertical parabola into vertex form is equal to

f(x)=a(x-h)^{2}+k

where

(h,k) is the vertex of the parabola

case A) we have

f(x)=x^{2}+4x-11

In this case the x-coordinate of the vertex will be negative

therefore

case A is not the solution

case B) we have

f(x)=-2x^{2}+16x-35

This case is a vertical parabola open downward (the vertex is a maximum)

The vertex is the point (4,-3) <u>but is not a minimum</u>

see the attached figure

therefore

case B is not the solution

case C) we have

f(x)=x^{2}-4x+5

Convert into vertex form

Group terms that contain the same variable, and move the constant to the opposite side of the equation

f(x)-5=x^{2}-4x

Complete the square. Remember to balance the equation by adding the same constants to each side

f(x)-5+4=(x^{2}-4x+4)

f(x)-1=(x^{2}-4x+4)

Rewrite as perfect squares

f(x)-1=(x-2)^{2}

f(x)=(x-2)^{2}+1 --------> vertex form

The vertex is the point (2,1)

therefore

case C is not the solution

case D) we have

f(x)=2x^{2}-16x+35  

Convert into vertex form

Group terms that contain the same variable, and move the constant to the opposite side of the equation

f(x)-35=2x^{2}-16x

Factor the leading coefficient

f(x)-35=2(x^{2}-8x)

Complete the square. Remember to balance the equation by adding the same constants to each side

f(x)-35+32=2(x^{2}-8x+16)

f(x)-3=2(x^{2}-8x+16)

Rewrite as perfect squares

f(x)-3=2(x-4)^{2}

f(x)=2(x-4)^{2}+3 --------> vertex form

The vertex is the point (4,3)

therefore

case D is not the solution

The answer to the question will be the function

f(x)=2x^{2}-16x+29

7 0
3 years ago
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Solve the equation using square roots. 6x2 = 54
Mars2501 [29]
6x^2 = 54

6(x^2) = 54

6(x^2)/6 = 54/6

x^2 = 9

rt(x^2) = rt(9)

x = 3

hope this helps
5 0
3 years ago
Read 2 more answers
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