Answer:
1
Step-by-step explanation:
To simplify this, we can use foil:
- First: -2 × - 2 = 4
- Outside: -2 × √3 = -2√3
- Inside: -√3 × -2 = +2√3
- Last: -√3 × √3 = -3
From this, we get 4 - 2√3 + 2√3 - 3 which can be simplified to 1
Hope this helps!
Answer: (B) x^3
Explanation:
If you compare the graphs of
all on the interval -1 < x < 0, you'll find that y = x^3 is the smallest when x = -1
Squaring a negative number leads to a positive result, and similarly that happens with x^4 as well. This is because x^4 = (x^2)^2.
Plugging x = -1 into x^3 leads to y = -1 as a result.
Answer:
=IF(A1<40000,(18%*I18),(27%*A1))
Step-by-step explanation:
The spreadsheet expression to be used is the "IF" function. The "IF" function is one that returns a value based on the conditions stated thereafter in the spreadsheet formula. Like every spreadsheet function, this also starts with =
In the question given,
The value to be examined is in cell A1. if A1 is less than $40000 is written as A1<40000, is true, the spreadsheets executes the next function stated as (18%*I18) otherwise (which in this case can be interpreted as A1 greater than or equal to $40000), compute the next command as shown above; (27%*A1)
The final parenthesis closes the command.
Hence the expression is IF(A1<40000,(18%*I18),(27%*A1)).
Solve for d:
(3 (a + x))/b = 2 d - 3 c
(3 (a + x))/b = 2 d - 3 c is equivalent to 2 d - 3 c = (3 (a + x))/b:
2 d - 3 c = (3 (a + x))/b
Add 3 c to both sides:
2 d = 3 c + (3 (a + x))/b
Divide both sides by 2:
Answer: d = (3 c)/2 + (3 (a + x))/(2 b)
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Solve for x:
(3 (a + x))/b = 2 d - 3 c
Multiply both sides by b/3:
a + x = (2 b d)/3 - b c
Subtract a from both sides:
Answer: x = (2 b d)/3 + (-a - b c)
____________________________
Solve for b:
(3 (a + x))/b = 2 d - 3 c
Take the reciprocal of both sides:
b/(3 (a + x)) = 1/(2 d - 3 c)
Multiply both sides by 3 (a + x):
Answer: b = (3 (a + x))/(2 d - 3 c)
Garden one and two are both unknown, so I am choosing to call garden 2 X and then label garden 1 with comparisons to X.
It is tempting to list:
Garden Two = X
Garden One = X + 9
BUT there is an easier way. We are told that when 3 bushes are taken from garden 2 (x-3) and put in garden 1 (x + 12) then garden one has 1.5 times more than garden two.
Set it up like this:
1.5 ( x - 3) = x + 12 (because 1.5 times garden 2 will give us garden 1)
1.5x - 4.5 = x + 12 (Distribute)
.5x = 16.5 (Use subtraction to move variables to the right and other numb left)
x = 33 for Garden 2
33 + 9 for Garden 1 = 42
