Answer:
Range = {7,2,0,6}
Step-by-step explanation:
G = {(-1,7),(-8, 2),(0, 0),(6, 6)}
Range = {7,2,0,6}
Using PEMDAS
(Parenthesis, Exponents, Multiplication, Division, Addition, Subtraction)
Parenthesis and Multiplication in parenthesis
-7+(7+9x1)x(-1)
-7+(7+9)x(-1)
Parenthesis and Addition in parenthesis
-7+(16)x(-1)
Multiplication
-7-16
Subtraction
-23
Answer:
x=7
Step-by-step explanation:
CD=DA
5X-6=3X+8
5X-3X=8+6
2X=14
X=7
Answer:
(- 5, 0), (3, 4)
Step-by-step explanation:
Given the 2 equations
2y - x = 5 → (1)
x² + y² - 25 = 0 → (2)
Rearrange (1) expressing x in terms of y
x = 2y - 5 → (3)
Substitute x = 2y - 5 into (2)
(2y - 5)² + y² - 25 = 0 ← expand parenthesis and simplify
4y² - 20y + 25 + y² - 25 = 0
5y² - 20y = 0 ← factor out 5y from each term
5y(y - 4) = 0
Equate each factor to zero and solve for y
5y = 0 ⇒ y = 0
y - 4 = 0 ⇒ y = 4
Substitute these values into (3) for corresponding values of x
y = 0 : x = 0 - 5 = - 5 ⇒ (- 5, 0)
y = 4 : x = 8 - 5 = 3 ⇒ (3, 4)
Each lion has 1 head. The number of lion heads is L .
Each bird has 1 head. The number of bird heads is B.
The total number of heads of all species is (L + B) = 30
Each lion has 4 feet. The number of lion feet is 4L .
Each bird has 2 feet. The number of bird feet is 2B .
The total number of feet of all species is (4L + 2B) = 100
The system of linear equations is:
L + B = 30
4L + 2B = 100 .