Sadly, you didn't put any sums on your list of choices.
In fact, I can't even find a list of choices !
To find the distance between (7, -1) and (-8, -9),
you would build a sum under a square-root (radical)
symbol, and it would look something like this:
√ ( 225 + 64 ) .
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.
Turn the fraction into an improper fraction.
4 13/25 -> 113/25
Divide both numbers.
113 / 25 = 4.52
Best of Luck!
<u>3x-7(4+2x)=-x+2</u> first step is to distribute the -7 into the (4+2x) this is done by multiplying the -7 to the 4 and them doing the same for the 2x
<u>3x-28-14x=-x+2</u> next you combine like terms as in all the x's you do this by adding the -14x and the 3x together
<u>-11x-28=-x+2 </u> next you put all the x's on one side
<u>+x +x</u>
<u>-10x-28=2</u> <u />next you add 28 to both sides to combine your final like terms
<u>+28 +28
-10x=30</u> the last step is to divide -10x and 30
<u>/-10x /-10x
</u><u>x=-3</u>
