Hopefully this is the correct answer! but your expression would be: y=40x+30
and if he drove for 5hrs then you would plug in 5 for your x value so it would be y=40*5+30 and 40*5 is 200.(the star means multiplying) then add 30 to get a total of $230
so the expression is: y=40x+30
and if he drove for 5hrs then he sould make a total of: $230
hopefully that helped and was the right answer :)
Answer:
Step-by-step explanation:
Area of rectangle = Length × Width
The given rectangle has a length if x meters
The width of the triangle is (x-3) meters
The area of the rectangle is given as 10 square meters.
Area if rectangle = x(x-3) = 10
Multiplying each term in the parentheses,
x^2 -3x = 10
x^2 -3x -10 = 0
This is a quadratic equation
We will look for two numbers such that when they are multiplied, it will give us -10x^2 and when they are added, it will give -3x. It becomes
x^2 + 2x - 5x -10 = 0
x(x+2)-5(x+2) =0
( x + 2)(x-5) = 0
x = -2 or x = 5
The length of the rectangle cannot be negative so the length is 5 meters
Widith = x+3 = 5-3 = 2 meters
Answer:
- The y-intercept is - 372 and it means that if the manufacturers do not produce and sell any blenders they will have a loss of $ 372.
Explanation:
The polynomial that represents the function is:
Where the variable, x, represents the number of blenders produced and sold monthly, and P(x) is the monthly profit in dollars obtained for the sale of x blenders.
As for the question, the y-intercept is the point on the graph where the function crosses the y-axis, i.e. where the input of the function is x = 0.
Therefore, the y-intercept is the value of the function for x = 0, P(0), and it is found by substituting 0 for x in the polynomial function, which is shown next:
The meaning of this value is that the firm loses $372 when it does not produce and sell any blenders.
Evaluate (4-2) = 2
Multiply 2•(1-5i) = 2 -10i
Answer:



Step-by-step explanation:
Mass of particles that a river can transport, 
where:
v = velocity of river flow
When 
then the mass transported, 
<u>When mass is twice:</u>
![v=\sqrt[6]{2}](https://tex.z-dn.net/?f=v%3D%5Csqrt%5B6%5D%7B2%7D)

<u>When mass is 10 times:</u>
![v=\sqrt[6]{10}](https://tex.z-dn.net/?f=v%3D%5Csqrt%5B6%5D%7B10%7D)

<u>When mass is 100 times:</u>
![v=\sqrt[6]{100}](https://tex.z-dn.net/?f=v%3D%5Csqrt%5B6%5D%7B100%7D)
