Answer:
<em>Thus both answers are: Positive infinity</em>
Step-by-step explanation:
<u>The Absolute Value</u>
It's the positive magnitude of a number, regardless of its sign, or zero if the number is zero.
Some examples of absolute values are:
We have the function:
As x approaches negative infinity, the absolute value approaches positive infinity, and the whole expression approaches positive infinity.
As x approaches positive infinity, the absolute value approaches positive infinity, and the whole expression approaches positive infinity.
Thus both answers are: Positive infinity
DE+EF=DF
8x+2=x+9
8x-x=9-2
7x=7
x=7/7
x=1
DF=x+9
put the value of x
DF=1+9
DF=10
Money of Phoebe - 3 times as much as Andy
Money of Andy - 2 times as much as Polly
Total money of Phoebe, - £270
Andy and Polly
*Solution
Let
B - Phoebe's money
A - Andy's money
L - Polly's money
1. The money of the Phoebe, Andy, and Polly, when added together would total £270. Thus,
B + A + L = £270 (EQUATION 1)
2. Phoebe has three times as much money as Andy and this is expressed as
B = 3A
3. Andy has twice as much money as Polly and this is expressed as
A = 2L (EQUATION 2)
4. This means that Phoebe has ____ as much money as Polly,
B = 3A
B = 3 x (2L)
B = 6L (EQUATION 3)
This step allows us to eliminate the variables B and A in EQUATION 1 by expressing the equation in terms of Polly's money only.
5. Substituting B with 6L, and A with 2L, EQUATION 1 becomes,
6L + 2L + L = £270
9L = £270
L = £30
So, Polly has £30.
6. Substituting L into EQUATIONS 2 and 3 would give us the values for Andy's money and Phoebe's money, respectively.
A = 2L
A = 2(£30)
A = £60
Andy has £60
B = 6L
B = 6(£30)
B = £180
Phoebe has £180
