Saving 25%= 17.25 is 125% of Original cost
125/100 = x/17.25
2156.25/100 = 100x/100
x=21.5625
Original cost of jeans = $21.56
The value of f(-3) is 5.
In order to find this answer, we are going to input -3 in for x (this is what the notation f(-3) means).
f(x)=| x-2 |
f(-3)=| -3 -2 |
f(-3)=| -5 |
Now we have to take the absolute value.
f(-3) = 5
Answer:
There's no direct variation
Step-by-step explanation:
Required
Determine if there's a direct variation between the number and its position
I'll start by giving an illustration of how the triangle is represented using stars (*)
*
**
***
****
*****
Represent the line number with y and it's position with x
On line 1:
y = 1, x = 1
On line 2:
y = 2, x = 3
On line 3:
y = 3, x = 6
On line 4:
y = 4, x = 10
On line 5:
y = 5, x = 15
Note that, x is gotten by calculating the accumulated number of stars while y is the line number.
Direct variation is represented by
y = kx
Or
kx = y
Where k is the constant of variation
For line 1:
Substitute 1 for y and 1 for x
k * 1 = 1
k = 1
For line 2:
Substitute 2 for y and 3 for x
k * 3 = 2
Divide through by 3
k = ⅔
Note that the values of k in both computations differ.
This implies that there's no direct variation and there's no need to check further.
Answer:
Number 1 is 12.
Step-by-step explanation:
{Solve by cross multiplication}
17 • x = 3 • (80 - x)
{Multiply 3 by distribution,}
17x = 240 - 3x
{Add 3x to both sides of the equation,}
20x = 240
{Divide through out by 20,}
20r/20 = 240/20
x = 12
Thus there were 12 pens :)
Answer:
Step-by-step explanation:
The given equation passes through the origin:

The segment passes through the point (-2,6)
So the equation will become 