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The graph of y=ax^2+bx+c is given below, where a, b, and c are integers. Find a-b+c.

Hello Guest!

This is the graph of the function 

\(f(x)=\frac{2}{3}\cdot (x-3)^2+1=\frac{2}{3}\cdot (x^2-6x+9)+1\)

\(f(x)=\frac{2}{3}x^2-4x+7\\ a=\frac{2}{3}\\ b=-4\\ c=7\)

a is not an integer.

  !

T = (4,-7).

The radius of the circle is 8*sqrt(3).

What was her average speed? 

Hello Guest!

\(xt=180ml\\ t=\dfrac{180ml}{x}\\ (x+5ml/h)t=200ml\\ t=\dfrac{200ml}{x+5ml/h}\\ \dfrac{x+5ml/h}{200ml}=\dfrac{x}{180ml}\ |\ \times ml\)

\(180x+900ml/h=200x\ |\ -180x\\ 900ml/h=20x\ |\ :20 \)

\(x=45ml/h\)

Her average speed was 45ml/h.

  !

Someone answered, thank you!

The point of intersection is (11/8, -13/8).

$\sqrt{45} - 2 \sqrt{5} + \frac{\sqrt{360}}{\sqrt{2}} = 5 \sqrt{5} = \sqrt{125}$, so $N = 125$.

The length of the median is 14.  Hope this helps!

The sum of the x-coordinates is 3.8.

(a) See the graph below.

(b) g(x) = 1/3*f(2x + 2).

(c) We stretch the graph horiztonally by a factor of 2, then stretch the graph vertically by a factor of 3, then shift down 2 units.

The axis of symmetry is x = 2.  (The function f(x) = (x - 2)^2) is an example of this.)

f(-2) = (-2)^2 - 3

f((-2)^2 - 3) = ((-2)^2 - 3)^2 - 3

t((-2)^2 - 3) = 9 + 2f((-2)^2 - 3)

=^._.^=

By AM-GM,

\(\frac{w+2x+3y+4z}{4} \ge \sqrt[4]{24wxyz}\\ 2\ge\sqrt[4]{24wxyz}\\ 16\ge24wxyz\\ \frac{2}{3}\ge wxyz\)

so the maximum value is \(\boxed{\frac{2}{3}}\)

for completeness, equality occurs when the terms are equal: \(w=2, x=1, y=\frac{2}{3}, z=\frac{1}{2}\)

Abel had 3 times as many books as Thomas. Abel donated 1/4 of his books to charity. What was the ratio of the number of books Thomas had to the number of books Abel had in the end?

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A : T = 3 : 1       or     3x : x

3x - (3x/4) = 2.25x

T : A = 1 : 2.25      or     4 / 9

x + 2x + 5x = 180           x = 22.5

The angles are 22.5º, 45º, and 112.5º 

The correct question would be:

In the diagram below AM = BM = CM,  and angle BMC + angle A = 201 degrees.  Find angle B in degrees.

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Angle AMC = x

(180 - x) + 1/2(180 - x) = 201

x = 46

∠B = 46 / 2 = 23º

A + B + C + D = 58.

x = -1/61.

f(c) = -1 for two values of c.

Area is always   unit²         like    in²      cm²       yard²     etc

   VOLUME is always   unit³

^{UNITS in your answer are VERY important in the real world !}

NASA lost its $125-million Mars Climate Orbiter because spacecraft engineers failed to convert from English to metric measurements when exchanging vital data before the craft was launched, space agency officials said Thursday. In a sense, the spacecraft was lost in translation

This question is answered here: https://web2.0calc.com/questions/i-have-tiled-my-square-kitchen-floor-with-congruent-square-tiles-all-the-tiles-are-white-except-those-along-the-two-diagonals-which-are-a

oh awsome thanks the whole inches squared thing after the box were i put my answer in had me worried 

i'll start right pi from now on :D

How can I find sin(a)?

Yes, it's right (though it's better to write pi, not pie!).