#5 is very nicely and correctly done.
#7 says: "No matter what X may be, this function of it is always 9 more than 1/2 of X .".
That's a very powerful statement. Now you know that if X is ever 2, the function will be 1/2(2)+9 which is 10.
If X is ever zero, the function will be 1/2(0)+9 which is 9. If X is ever a cow, the function will be 1/2 of a cow, plus the number 9. Which makes no sense, but that's what the function says.
So, when X is -8, the function is 1/2 of -8, plus 9. Which is 5 ... the 'f' of -8.
Whatever X happens to be at the moment, just write that number in place of X in the function, and it'll show you the function of what X is.
f(a bazillion) = 1/2(a bazillion) + 9 .
f(a-28) = 1/2(a-28) + 9 (but simplify it)
A perfect cube is a number that resulted from multiplying a number three times by itself. A perfect cube is also a number that has an exact cube root.
8x^12 ⇒ 2x^4 * 2x^4 * 2x^4
27x^9 ⇒ 3x³ * 3x³ * 3x³
Only two monomials are perfect cubes.
Answer:
{y,x} = {-7,-3}
Step-by-step explanation:
- 3x = 2
y - 2x = -1
-3x + y = 2 -2x + y = -1
y = 2x - 1
(2x-1) - 3x = 2
- x = 3 x = - 3
y = 2x-1
x = -3
y = 2(-3)-1 = -7
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The total cost of a $2,099 couch including the 6.5% sales tax is $ 2235.435
<u>Solution:</u>
Given that,
cost of couch = $ 2099
Sales tax = 6.5%
<em><u>Finding the total cost of couch with sales tax:</u></em>
Total cost of couch = selling price of couch + sales tax on the selling price of couch
Plugging in values we get,
<em>Total cost of couch = $ 2,099 + 6.5% sales tax on $ 2099</em>
Taking "2099" as common term, we get,
On solving brackets,
Hence, the total cost of the couch is found as $ 2235.435
