Answer:
- X'(5, 2)
- Y'(0, 1)
- Z'(-1, -4)
Step-by-step explanation:
The translation increases each x-coordinate by 3, moving the point 3 units to the right. It decreases each y-coordinate by 1, moving the point 1 unit down.
(x, y) ⇒ (x+3, y-1)
X(2, 3) ⇒ X'(5, 2)
Y(-3, 2) ⇒ Y'(0, 1)
Z(-4, -3) ⇒ Z'(-1, -4)
The red arrows show the translation of each point in the graph.
Answer:
Snickerdoodles are 0.22$ each and chocolate chip are 0.43$ each
Step-by-step explanation:
using the information in the problem, you can make 2 separate equations: 8x+12y=6.92 and 5x+5y=3.25, let x= the cost of a snickerdoodle and y= the cost of a chocolate chip cookie.
With the 2 equations, we can isolate the y variable of the first equation and simplify which will give us y= -2/3x +6.92/12.
You can now take that equation and plug it into equation number 2:
5x+5(-2/3x + 6.92/12)=3.25.
solve that equation by multiplying 5 through the brackets: 5x-10/3x+34.6/12=3.25
add common terms: 5/3x=4.4/12
find the value of x, you will get x=0.22
plug the value of x (0.22) into one of your equations and solve for the y-value
Answer:
x= -8 and so y=35.....solving equation
140 / 100 * X = 56
X = 56 * 100 / 140 = 5600 / 140 = 40
a. Answer: m = 2
<u>Step-by-step explanation:</u>
f(x) = x² - 4x + 1
f(m) = m² - 4m + 1 = -3
m² - 4m + 4 = 0
(m - 2)(m - 2) = 0
m = 2
***************************************************
b. Answer: k = 2 and k = 5
<u>Step-by-step explanation:</u>
f(x) = x² - 7x + 14
f(k) = k² - 7k + 14 = 4
k² - 7k + 10 = 0
(k - 2)(k - 5) = 0
k = 2 k = 5
