its very big question plz make it small
the first anwser is x
If you divide y by x (for example 51 by 3)for all of them you would get 17
Making the equation y=17x
Since x = hours you plug in 3.5 for x
B. domain of here is all values of x > 2 .
Correct question is : the function models the area of a rectangle. a: describe the length and width of the rectangle in terms of x b: what is a domain for above function in relation to rectangle . Let's solve:
a: describe the length and width of the rectangle in terms of x
Let's factorise :
Since , ⇒ So
b: what is a domain for above function in relation to rectangle
Since area is always > 0 , and (length , breadth)>0 So,
⇒ Therefore, domain of here is all values of x > 2 .
21 is A and 22 is B
Step-by-step explanation:51/3= 17
1. A. y=17x
1. In the table , it can be seen that as x increases y increases with the proportionality constant k = ,.
Equation of direct variation between x and y :
Put k= 17 , we get
, which is the required equation.
So correct option is "A".
2. To find : The charge for renting a machine for 3.5 hours.
Put x= 3.5 in above equation , we get
Hence, the charge for renting a machine for 3.5 hours is $59.50.
So correct option is "B".
b. y = 0.75 x - 0.75
a. What is the constant rate of change of y with respect to x?
We know that the value of y and the value of x vary together at a constant rate of change so that Δy = 0.75. Δx. Then, the rate of change is:
Δy / Δy = 0.75
b. Write a formula that expresses y in terms of x.
The formula of the linear expression that relates x and y is:
y = 0.75 x + b
0.75 y the slope
b is the intercept
We know that when x = 3, y = 1.5. Then,
1.5 = 0.75 . 3 + b
b = -0.75
The resulting formula is
y = 0.75 x - 0.75
c. What is the value of y when x = 103?
When x = 103
y = 0.75 . 103 - 0.75
y = 76.5