A common characteristic for the shapes given is that they all consist of sides. Therefore, the most applicable sorting rule is the number of sides. In this regard, there will be two categories of the shapes given.
That is, number of sorting rule in which:
Category 1: 1 square and 1 rectangle all with four sides.
Category 2: 1 triangle with three sides.
Answer:
The zeros are 0, 4, 6.
The y-intercept is 0.
Step-by-step explanation:
f(x) = x^3 - 10x^2 + 24x
x^3 - 10x^2 + 24x = 0
x(x^2 - 10x + 24) = 0
x(x - 4)(x - 6) = 0
x = 0 or x - 4 = 0 or x - 6 = 0
x = 0 or x = 4 or x = 6
y-intercept:
Since x = 0 is a root, that means that the point (0, 0) is part of the function. That makes the y-intercept 0.
You can also solve for the y-intercept by letting x = 0 in the function and solving for f(0).
Let x = 0.
f(0) = 0^3 - 10(0^2) + 24(0)
f(0) = 0
y-intercept: 0
Answer:
$1.19
Step-by-step explanation:
14.25/12=1.19
Answer:
$ 75.
Step-by-step explanation:
From the information above,
List price of model II = $240
Sale price of the clearance sale is 1/4 off the list price of Model II microwave oven and additional 1/5 of the sale price for oven that are scratched and dented.
Therefore,
Let the sale price be X,
= (1/4)*(list price) + (1/5)*X
X = (1/4)*(240) + (1/5)*X
X = 60 + (1/5)X
Solving for X,
X - (1/5)X = 60
(4/5)X = 60
X = (60*5)/4
= $75.
Answer:
b=5
Step-by-step explanation:
C(1,3) and point D(4,-3)
Since we want the equation in slope intercept form we must first calculate the slope (m):

By point slope formula and using point C (1,3) we have:
So the slope is -2 and the y -intercept (b) is 5.