Answer:
The average cost of one mango = c = ₦8
Step-by-step explanation:
Let 'c' be the average cost of one mango
The original amount Idahtonye has = ₦50.00
The amount of mangoes Idahtonye buys = 6 mangoes
As he gets back the change of ₦2 after paying ₦50.00 to buy 5 mangoes.
Thus the equation becomes
50 - 2 = 6c
48 = 6c
dividing both sides by 6
48/6 = 6c/6
c = 8 ₦
Therefore, the average cost of one mango = c = ₦8
Answer:
see the prove below
Step-by-step explanation:
<u>We have to prove that </u><u>MOC=(AOM+BOM)/2</u>
Let Angle AOM=x and AOC=y . => AOB=2y ( because OC is the bisector of AOB)
So MOC= AOM+AOC=x+y
BOM=AOB+AOM=2y +x
AOM+BOM= x+2y+x=2y+2x
(AOM+BOM)/2= (2y+2x)/2=x+y=MOC
The statement is proved
Answer:
si
Step-by-step explanation:
si
Y=3(x²+10x)+71
Now we need to complete square for (x²+10)
It should look like this
a²+2ab+b²=(a+b)²
y=3(x²+2*5x+5²)-3*5²+71
y=3(x+5)²-75+71
y=3(x+5)²-4
Vertex has coordinates x=-5, y=-4.
Vertex in this case is the extreme value (-5,-4)
(2, 5) and (5, 8) are the solutions to the system of equations.
We have
and
.
Let's substitute
for
in
. We get
. Now, factor to solve for
.
Now, substitute each value of
into one of the original equations to solve for
.
