Step-by-step explanation:
Reflecting across the x axis will result in a sign change for. the y component, therefore (-7,-9) becomes (-7,9)
Reflecting across the y axis will result in a sign change for the x component, therefore (-7,-9) becomes (7,-9)
Answer:
{(5,3) , (6,1), (7,-1), (8,-3)}
inverse of (x,y) is (y,x)
inverse of { (3,5), (1, 6), ( -1, 7), (-3, 8)} is
You can do synthetic division twice immediately (or once if you know how to handle x^2 - 25 all at once. I'll use 2 divisions. x^2 - 25 is (x + 5)(x - 5). Both of them are zeros to the given equation which means that x = +5 and
x = - 5 are both zeros of the given quartic.
5 1 -2 -33 50 200
5 15 -90 -200
=====================================
1 3 -18 -40 0
What you have now is x^3 + 3x^2 - 18x - 40 = 0
Do another synthetic division
-5 1 3 -18 -40
-5 10 40
============================
1 -2 -8 0
The result is
x^2 - 2x - 8 = 0 which factors.
(x + 2)(x - 4) = 0
Answer
The factors are (x + 2)(x - 4)(x + 5)(x - 5) = 0
Long division
x^2 + 0 + 25 ||x^4 - 2x^3 - 33x^2 + 50x + 200 ||x^2 - 2x - 8
x^4 + 0 + 25x^2
==================
-2x^3 -8x^2 + 50x
-2x^3 + 0 + 50x
=================
-8x^2 + 0 +200
-8x^2 + 0 + 200
0
(-1,-5)
Solve by substitution
The cups of milk Laura gave to Maria is 19/12 cups is 19/12 cups
Total = Laura + Maria
2 1/4 = x + 2/3
2 1/4 - 2/3 = x
9/4 - 2/3 = x
(27-8) / 12 = x
19/12 = x
= 1 7/12
Therefore, the cups of milk Laura gave to Maria is 19/12 cups
Learn more about fraction:
brainly.com/question/11562149
1300 middle school students.
We can turn the words into this expression:
2000 x 65/100
And that expression simplifies to 1300, so 1300 students.
