I believe it's 1200.
Hope this helped :)
Answer:
10.29 (rounded = 10.30)
Step-by-step explanation:
X = a^2 + b^2 = c^2
X = 9^2 + 5^2 = c^2
X = (81) + (25) = c^2
X = 106 = c^2
X = √106 = c^2
X = 10.295630141 = c^2
X = 10.03 = c^2 (10.03 is 10.295630141 rounded to the nearest tenth)
Answer: We have
f'(x) = a x + b,
f'(x) = 0 at x = -b/a
f(x) = a x^2 / 2 + b x + c
Meaning of marked part
❟ ∵ a<0 ❟ f is a quadratic function
∴ f has absolute maximum value at x = -b/a
For all a with a less than zero, f is a quadratic function. Therefore f has a global maximum at x = -b/a
That typesetting seems very sloppy. It probably is supposed to be
∀a < 0, f is a quadratic function.
The second sentence is sloppy in use of "absolute". It can't mean absolute value, so presumably it means "global".
Sometimes a minimum or maximum is only local, but a quadratic function has exactly one extrema, and it is global. And if a < 0, the extrema is a global maximum.
Step-by-step explanation:
An extrema (minimum or maximum) for f(x) occurs only where f'(x) = 0, that is, when the slope of the tangent at x is zero.
But if the function crosses its tangent at that point, the point is an inflection point, not an extrema. A quadratic never crosses it's tangent.
Infinitely many solutions.I will try to solve your system of equations.<span><span><span><span>3x</span>+y</span>=9</span>;<span><span>3x</span>=<span><span>−y</span>+9</span></span></span>Step: Solve<span><span><span>3x</span>+y</span>=9</span>for y:<span><span><span><span>3x</span>+y</span>+<span>−<span>3x</span></span></span>=<span>9+<span>−<span>3x</span></span></span></span>(Add -3x to both sides)<span>y=<span><span>−<span>3x</span></span>+9</span></span>Step: Substitute<span><span>−<span>3x</span></span>+9</span>foryin<span><span><span>3x</span>=<span><span>−y</span>+9</span></span>:</span><span><span>3x</span>=<span><span>−y</span>+9</span></span><span><span>3x</span>=<span><span>−<span>(<span><span>−<span>3x</span></span>+9</span>)</span></span>+9</span></span><span><span>3x</span>=<span>3x</span></span>(Simplify both sides of the equation)<span><span><span>3x</span>+<span>−<span>3x</span></span></span>=<span><span>3x</span>+<span>−<span>3x</span></span></span></span><span>(Add -3x to both sides)
so ur answer is
</span><span>Infinitely many solutions.</span><span>
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