Answer:
x^2 + 8x - 65 = 0.
Step-by-step explanation:
In order to solve the side of the enlarged area of 81 square inches, we use the equation in solving the area of a square. Area = side^2.
the increase in side will be x, so (4+x)^2 = 81, x^2 + 4x + 4x + 16 = 81
x^2 + 8x + 16 - 81 = 0
x^2 + 8x - 65 = 0.
Hoped this helped mark Brainliest!
Answer: $0.51
Step-by-step explanation:
12/100 of $4.25 = $0.51
Amount payable plus sales tax for a 6- pack of soda will now be $4.25 + $0.51 = $4.76
Answer:
IV. A+{1, 2, 3, 6, 12}
Step-by-step explanation:
The set of natural numbers form a poset number under relation of > or =. The discrete variables are used to form a poset. The symbols for divisibility in poset form are when an integer is divided by the variable without integer. The correct answer is therefore 4th option.
You do the implcit differentation, then solve for y' and check where this is defined.
In your case: Differentiate implicitly: 2xy + x²y' - y² - x*2yy' = 0
Solve for y': y'(x²-2xy) +2xy - y² = 0
y' = (2xy-y²) / (x²-2xy)
Check where defined: y' is not defined if the denominator becomes zero, i.e.
x² - 2xy = 0 x(x - 2y) = 0
This has formal solutions x=0 and y=x/2. Now we check whether these values are possible for the initially given definition of y:
0^2*y - 0*y^2 =? 4 0 =? 4
This is impossible, hence the function is not defined for 0, and we can disregard this.
x^2*(x/2) - x(x/2)^2 =? 4 x^3/2 - x^3/4 = 4 x^3/4 = 4 x^3=16 x^3 = 16 x = cubicroot(16)
This is a possible value for y, so we have a point where y is defined, but not y'.
The solution to all of it is hence D - { cubicroot(16) }, where D is the domain of y (which nobody has asked for in this example :-).
(Actually, the check whether 0 is in D is superfluous: If you write as solution D - { 0, cubicroot(16) }, this is also correct - only it so happens that 0 is not in D, so the set difference cannot take it out of there ...).
If someone asks for that D, you have to solve the definition for y and find that domain - I don't know of any [general] way to find the domain without solving for the explicit function).
The answer is f(x) = q * 1.025<span>x + 5, do you have that?
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