Help me please..........

Mathematics

1 answer:

romanna [79]3 years ago

5 0

Answer: (-3; -11)

Step-by-step explanation:

$\left \bigg \{ {\big{y=7x+10} \atop\big {y=-4x-23}} \right.\\\\7x+10=-4x-23\\7x+10-10=-4x-23-10\\7x=-4x-33\\7x+4x=-4x-33+4x\\11x=-33\\11x \div 11=-33 \div 11\\x=-3\\\\y=7x+10\\y=7 \times (-3)+10=-21+10=-11$

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lidiya [134]

The last one HOPE THIS HELPS!!!!

3 0

3 years ago

Graph<img src="https://tex.z-dn.net/?f=fx%3D%20%7Cx%2B1%7C%20%2B2" id="TexFormula1" title="fx= |x+1| +2" alt="fx= |x+1| +2" alig

AURORKA [14]

Answer:

The graph is shown in the following image

Step-by-step explanation:

The parent function of $f(x) = | x + 1 | +2$ is $y = | x |$

The graph of $y = | x |$ is the union of two lines:

$y = x$ for $x\geq0$

$y = -x$ for $x$

The vertex of this graph is in point (0,0)

The graphic is shown in the attached image.

Then, if we do $y = f(x + 1)$ to the parent function we get:

$y = | x + 1 |$

This transformation shifts the graph of $y = |x|$ 1 unit to the left

Then, if we make the transformation $y = f(x) + 2$ to the function $y = | x + 1 |$ we obtain:

$y = | x + 1 | +2$

This transformation displaces the graph of the function $y = | x + 1 |$ 2 units up on the y axis.

So, if the vertex of the main function $y = | x |$ was at point (0,0), the vertex of the function $f(x) = |x + 1| +2$ has its vertex in the point (-1, 2).