Answer:
x = -2
y = 7
Step-by-step explanation:
x+y=5
y=7
x+y=5
x + 7 = 5
x = -2
x+y=5
-2 + y = 5
y = 7
Step-by-step explanation:
f(x) = y= -x²-x+6
When y is max, f'(x) = 0
f'(x) = -2x-1
Equating to 0,
-2x-1= 0
x= -1/2
Put the value of x in f(x)
y = -(-1/2)² -(-1/2) +6
= -1/4+1/2+6
= 6+1/2
y= 13/2
Answer:
0.07.
Step-by-step explanation:
Below. Lets say 1 is 100 dollars sale tax. If 1 is 100 7 would be 7.00
Answer:
The measure of angle LMN is 68° ⇒ the last answer
Step-by-step explanation:
* Lets revise the properties of the rhombus
- The rhombus has 4 equal sides in length
- Every two opposite angles are equal in measure
- Every two adjacent angles are supplementary (their sum = 180°)
- The two diagonals bisect each other
- The two diagonals perpendicular to each other
- The two diagonals bisect the vertices angles
* Lets solve the problem
∵ LMNO is a rhombus
∴ ∠LMN and ∠MNO are adjacent angles
∴ ∠LMN and ∠MNO are supplementary
∴ m∠LMN + ∠MNO = 180°
∵ m∠MNO = 112°
∴ m∠LMN + 112° = 180° ⇒ subtract 112 from both sides
∴ m∠LMN = 68°
* The measure of angle LMN is 68°
Answer:
a = 10, b = 5, c = 14, d = 25
Step-by-step explanation:
Plug in -2 for x ....
y = 2(-2)^2 + -2 + 4
y = 2(4) + 2
y = 10
Plug in -1 for x ....
y = 2(-1)^2 + -1 + 4
y = 2(1) + 3
y = 5
Plug in 2 for x ....
y = 2(2)^2 + 2 + 4
y = 2(4) + 6
y = 8 + 6
y = 14
Plug in 3 for x ....
y = 2(3)^2 + 3 + 4
y = 2(9) + 7
y = 18 + 7
y = 25
