Given:
The rule of translation is:
![(x+3,y-2)](https://tex.z-dn.net/?f=%28x%2B3%2Cy-2%29)
The trapezoid ABCD on the graph.
To find:
The coordinates of the point C'.
Solution:
From the given graph, it is clear that the coordinates of point C are (-2,4).
The rule of translation is:
![(x,y)\to (x+3,y-2)](https://tex.z-dn.net/?f=%28x%2Cy%29%5Cto%20%28x%2B3%2Cy-2%29)
Using this rule of translation, we get
![C(-2,4)\to C'(-2+3,4-2)](https://tex.z-dn.net/?f=C%28-2%2C4%29%5Cto%20C%27%28-2%2B3%2C4-2%29)
![C(-2,4)\to C'(1,2)](https://tex.z-dn.net/?f=C%28-2%2C4%29%5Cto%20C%27%281%2C2%29)
Therefore, the coordinates of the point C' are (1,2).
The regular price of one package of paper towels is $4.25
Step-by-step explanation:
Given,
Packages of paper towels bought = 3
Coupon on each package = $0.25 off
Discount on three packages = 0.25*3 = $0.75
Amount paid for packages = $12
Total cost before discount = Amount paid + Discount on 3 packages
Total cost before discount = 12+0.75 = $12.75
Therefore,
$12.75 is the original price of 3 packages.
1 package = ![\frac{12.75}{3}=\$4.25](https://tex.z-dn.net/?f=%5Cfrac%7B12.75%7D%7B3%7D%3D%5C%244.25)
The regular price of one package of paper towels is $4.25
Keywords: addition, division
Learn more about addition at:
#LearnwithBrainly
Answer:
1. value is 0; x-3 is a factor . . . . . . . . . . . . . .third choice
2. evaluates at x = -1; remainder is -11 . . . . first choice
Step-by-step explanation:
Dividing f(x) by (x -a) gives ...
f(x)/(x -a) = g(x) +r/(x -a) . . . . some quotient and a remainder r
If we multiply this expression by (x -a), we see ...
f(x) = (x -a)g(x) +r
so
f(a) = (a -a)g(a) +r . . . . . evaluate the above equation at x=a
f(a) = 0 +r
f(a) = r . . . . . . . . . a statement of the remainder theorem
If r=0, then x-a is a factor of f(x) = (x-a)g(x).
___
1. We have "a" = 3, and f(3) = 0. Therefore (x-3) is a factor.
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2. We have "a" = -1, and f(-1) = -11. Therefore the remainder from division by (x+1) is -11.
Answer:
23
Step-by-step explanation:
2x+14+x+7=90, 3x+21=90,3x=90-21. 3x=69, x=23
If there's no discount, adding all prices generates a total of $18.72.
To get the discounted percentage, we need to get the equivalent price rate per discount of each items.
Chicken: $8.47 x 0.15 = $1.27
Milk: $2.16 x 0.20 = $0.43
Onions: $0.89 x 0.10 = $0.09
Potato chips: $1.45 x 0.12 = $0.17
Oranges: $1.36 x 0.25 = $0.34
Flour: $4.39 x 0.18 = $0.79
Next, we will add discounted price equivalents and it will give us a value of $3.09. To get his total percentage discount, we expressed it as: $3.09 / $18.72 x 100 = 16.50%. So, Jan gets a total discount of 16.50%.