According to the properties of inequality, we reverse the inequality symbol when we add or multiply by any negative number
Given inequality is Ax + B > C
In the first step, we subtract B from both sides
Ax + B > C
Ax + B - B > C - B
Ax > C - B
Now to remove A we divide by A on both sides
If A is negative then the reverse the inequality sign
When A is negative then > symbol becomes < symbol
so the inequality symbol be reversed when the value of A is negative
C. \: x = 2 \: or \: x = 3
Answer:
y = - 3
Step-by-step explanation:
Locate x = 2 on the x- axis, then go down vertically to meet the line. At this point read off the corresponding value on the y- axis, thus
The value of the function at x = 2 is y = - 3
Net worth is the difference between assets and liabilities.
Assets - liabilities = net worth
Assets include
townhome valued at $ 195,000
savings 5000
Car 38000
Total=195,000+5,000+38,000
=238,000
Liabilities include
Loan owed 120000
Credit card 1400
owed on Ben's car 20000
Total=120,000+1,400+20,000
=141,400
Net worth=238,000−141,400=96,600
In 5 years, the ratio of their ages will be 5:1, so the difference in their ages will be 4 ratio units. Those 4 units correspond to 32 years, so each unit corresponds to 32/4 = 8 years.
Thus, in 5 years, Kate will be 8 and her father will be 40. Right now, Kate is ...
... 8 - 5 = 3 years old.
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<em>Using equations</em>
Let k represent Kate's current age. Then in 5 years Kate will be k+5, and we will have ...
... 5(k+5) = (k+5)+32 . . the relationship betewen their ages in 5 years
... 5k +25 = k +37 . . . . eliminate parentheses
... 4k = 12 . . . . . . . . . . . add -25-k
... k = 3 . . . . . . . . . . . . . divide by 4
Kate is 3 years old.
