From the linear function formed by the points given in the table, it is found that the x-intercept is of -14.
<h3>What is a linear function?</h3>
A linear function is modeled by:
y = mx + b
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0.
In this problem, when x increases by 20, y decays by 6, hence the slope is given by:
Then:
y = -0.3x + b.
When x = -54, y = 12, hence:
y = -0.3x + b
12 = -0.3(-54) + b.
b = -4.2.
Thus, the equation is:
y = -0.3x - 4.2.
The x-intercept is the value of x when y = 0, hence:
-0.3x - 4.2 = 0.
x = -4.2/0.3
x = -14
More can be learned about linear functions at brainly.com/question/24808124
33
Every box has ten cans of soda, so you need to know what number, that when multiplied by 10 gives you 330. 330 divided by 10 is 33.
Step-by-step explanation:
Given that,
The area of a rectangle, A = 35 cm²
Let x is the length.
Width, Y = 12-x
We know that,
The area of a rectangle is given by :
Hence, 
.
Answer: b. $22.75
Step-by-step explanation:
Given : A large pizza with no toppings costs $14.00. A large pizza with 2 toppings costs $17.50.
Let x denotes the number of toppings and y be the cost of that pizza.
Then, 
, m= cost per topping and c= cost of pizza without any topping.
From the given information.
c= $14
Function of cost becomes = 
For x= 2 and y= 17.50, we have
tex]3.50=m(2)[/tex] [Subtract 14 from both sides]
[Divide both sides by 2]
For c= 14 and m =1.75 , our function becomes.
Now, for x= 5
Hence, the cost of a pizza with 5 toppings = $22.75
Answer:
Just by simply adding the two quantities you can get the net change. $67.12 +(addition sign because we want the net change) $2.56= $69.68. The last number is the net change!
Step-by-step explanation:
