Answer:
a = -4, b = -3
Step-by-step explanation:
P(2) = 0
= 4a +2b = -10
P(4) = 6
= 16a + 4b = -52
16a + 4b = -52 - 8a + 4b = -20
= 8a = -32
a = -4
b = -3
The wrestler gained 5.20 kilograms per month.
Step-by-step explanation:
Let,
x be the weight gained every month.
y be the original weight before weight gain.
According to given statement;
0.5x+y=80.6 Eqn 1
2x+y=88.4 Eqn 2
3.5x+y=96.2 Eqn 3
Subtracting Eqn 1 from Eqn 2

Dividing both sides by 1.5

The wrestler gained 5.20 kilograms per month.
Keywords: linear equation, subtraction
Learn more about linear equations at:
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A 120 watt light-bulb is a 0.120 kilowatt light bulb.
In one hour, it uses 0.120 kilowatt-hour of energy.
If electrical energy costs $0.20 per kilowatt hour, then that light bulb costs
(0.120 kilowatt-hour / hour) x (0.20 dollar / kilowatt-hour) =
(0.120 x $0.20 / hour) =
$0.024 / hour = <span>2.4¢ per hour </span>
The height of a tree is 10
10
meters long and it grows 1
1
cm in a year.
Then its height after one year = 10
10
meters 1
1
cm
Its height after 3
3
years = 10
10
meters 3
3
cm
Its height after 6
6
years = 10
10
meters 6
6
cm
Its height after x
x
years = 10
10
meters x
x
cm
Where x
x
represents an unknown number. From the last line, we can find height of the tree after a certain number of years by taking x
x
equal to that number. For example, we simply let x=15
x
=
15
, 25
25
and 55
55
. Thus, the value of x
x
depends on our choice. We can give x
x
any value or number we want. In other words, the value of x
x
is not fixed, it varies from one situation to the other. Therefore, we call x
x
a variable whereas 10
10
is a fixed number whole value does not change. So 10
10
therefore is called a constant.
Read more: http://www.emathzone.com/tutorials/basic-algebra/algebraic-expression.html#ixzz4fDkFcbpZ