Use algebraic rules of equations to predict the solution to the system of equations. Include all of your work for full credit.

Mathematics

2 answers:

dolphi86 [110]3 years ago

4 0

X+2y=10
x=10-2y

6y=-3(10-2y)+30
6y=-30+6y+30
0=0

kompoz [17]3 years ago

3 0

Answer:

infinite solutions

Step-by-step explanation:

$x+2y=10$

$6y=-3x+30$

To solve for x and y we use substitution method

LEts solve the first equation for x

$x+2y=10$

Subtract 2y on both sides

$x=10-2y$

Now plug in x in second equation

$6y=-3x+30$

$6y=-3(10-2y)+30$

$6y=-30+6y+30$

$6y=6y$

Both sides are same , so both x and y have infinite solutions.

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1.) Alexander jumped off a cliff into the ocean in Acapulco while on vacation. His height as a function of time could be modeled

Dmitrij [34]

So hmmm check the graph below

now.. to find the vertex of any quadratic

$\bf \textit{vertex of a parabola}\\ \quad \\

\begin{array}{lccclll}
h(t)=&-16t^2&+16t&+480\\
&\uparrow &\uparrow &\uparrow \\
&a&b&c
\end{array}\qquad 
\left(-\cfrac{{{ b}}}{2{{ a}}}\quad ,\quad {{ c}}-\cfrac{{{ b}}^2}{4{{ a}}}\right)$

so... how long did it take? well, it took $\bf -\cfrac{{{ b}}}{2{{ a}}}$

what was the highest point? well, it was $\bf {{ c}}-\cfrac{{{ b}}^2}{4{{ a}}}$

when did he hit the water? well, at y = 0
that is $h(t) = -16t^2 + 16t + 480 \implies 0 = -16t^2 + 16t + 480,$

solve for "t"