Answer:
The image of the point (1, -2) under a dilation of 3 is (3, -6).
Step-by-step explanation:
Correct statement is:
<em>What are the coordinates of the image of the point (1, -2) under a dilation of 3 with the origin.</em>
From Linear Algebra we get that dilation of a point with respect to another point is represented by:
(Eq. 1)
Where:
- Reference point with respect to origin, dimensionless.
- Original point with respect to origin, dimensionless.
- Dilation factor, dimensionless.
If we know that 
, 
and 
, then the coordinates of the image of the original point is:
![\vec P' = (0,0) +3\cdot [(1,-2)-(0,0)]](https://tex.z-dn.net/?f=%5Cvec%20P%27%20%3D%20%280%2C0%29%20%2B3%5Ccdot%20%5B%281%2C-2%29-%280%2C0%29%5D)
The image of the point (1, -2) under a dilation of 3 is (3, -6).
Answer:
a. $49
b. $74.28
c. No
Step-by-step explanation:
The computation is shown below:
a. The store price is
= Purchase price + markup
= $35 + $35 × 40%
= $35 + $14
= $49
b. The price paid is
Since there is a markup of 40% and when it is added to 100% of cost so the selling price is 140% of the cost or 1.40 of the cost
Now the price paid is
$104 = 1.40 × cost
So, the cost is
= $104 ÷ 1.40
= $74.28
c. Now the markup is
= $100 - $75
= $25
The markup percentage is
= $25 ÷ $75
= 33.33%
No the store does not markup the price by 40%
Answer:
ok
Step-by-step explanation:
15 miles per hour.
Divide the number of miles by the number of hours to get the miles per hour.
Given : f(x) = 3x + 1
We get f(2) by substituting x = 2 in the given Function
⇒ f(2) = 3(2) + 1
⇒ f(2) = 6 + 1 = 7
Option C is the Answer
