Select the points that lie on the function h(x) = 3x 2.

Mathematics

2 answers:

Marysya12 [62]3 years ago

5 0

Answer:

The answers are A&D

Step-by-step explanation:

yulyashka [42]3 years ago

4 0

The answer is (1,3) because when you graph it you can see it is on the parabola.

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Three boxes weighing 128 pounds each and one box weighing 254 pounds were loaded onto the back of an empty truck. A crate of app

Firlakuza [10]

Answer:

1352 pounds

Step-by-step explanation:

128+128=256

256+254=510

510+128=638

2000-638=1352

6 0

3 years ago

Find the equation of the axis of symmetry of the following parabola algebraically.

mr Goodwill [35]

Answer:

the equation of the axis of symmetry is $x=8$

Step-by-step explanation:

Recall that the equation of the axis of symmetry for a parabola with vertical branches like this one, is an equation of a vertical line that passes through the very vertex of the parabola and divides it into its two symmetric branches. Such vertical line would have therefore an expression of the form: $x=constant$ , being that constant the very x-coordinate of the vertex.

So we use for that the fact that the x position of the vertex of a parabola of the general form: $y=ax^2+bx+c$ , is given by:

$x_{vertex}=\frac{-b}{2\,a}$

which in our case becomes:

$x_{vertex}=\frac{-b}{2\,a} \\x_{vertex}=\frac{48}{2\,(3)} \\x_{vertex}=\frac{48}{6} \\x_{vertex}=8$

Then, the equation of the axis of symmetry for this parabola is:

$x=8$

4 0

3 years ago

Identify all of the following solutions of square root of x plus 14 end root plus 2 equals x.

BabaBlast [244]

$\bf \sqrt{x+14}+2=x\implies \sqrt{x+14}=x-2\impliedby \textit{squaring both sides}
\\\\\\
(\sqrt{x+14})^2=(x-2)^2\implies x+14=x^2-4x+4
\\\\\\
0=x^2-5x-10\impliedby \textit{now, using the quadratic formula}
\\\\\\
x=\cfrac{5\pm\sqrt{(-5)^2-4(1)(-10)}}{2(1)}\implies x=\cfrac{5\pm\sqrt{25+40}}{2}
\\\\\\
x=\cfrac{5\pm \sqrt{65}}{2}\implies x=
\begin{cases}
\cfrac{5+ \sqrt{65}}{2}\\\\
\cfrac{5- \sqrt{65}}{2}
\end{cases}$