10 POINTS!!! I WILL GIVE BRAINLIEST!

2 answers:

7 0

175-52=123
123/6.25=19.68
you can't have 19.68 people, so the max amount of people that could attend would be 18. Hope it helped:)

Gnom [1K]3 years ago

3 0

The inequality would be 6.25x + 52 < or = 175. If you solved the inequality for x, the answer would be 19.68. This means that the answer would be, the greatest number of people who can attend the picnic is 19, because you can not have .68 of a person.

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Determine the vertex by completing the square. Show process.<br><br> y = x2 -6x + 22

Vilka [71]

Answer:

(3,13)

Step-by-step explanation:

$y=x^2-6x+22\\y=x^2-6x+22+3^2-3^2\\y=(x-3)^2+22-9\\y=(x-3)^2+13$

Note that by vertex form we have:

$y=a(x-h)^2+k$

Where the vertex has the coordinates (h,k) so we change the sign of h and keep the same k value and so:

h=3 and k=13

Therefore the vertex of this parabola is: (3,13)

8 0

3 years ago

Write a formula for function f in terms of function g.

emmasim [6.3K]

$\bf \qquad \qquad \qquad \qquad \textit{function transformations}
\\ \quad \\\\

\begin{array}{rllll} 
% left side templates
f(x)=&{{ A}}({{ B}}x+{{ C}})+{{ D}}
\\ \quad \\
y=&{{ A}}({{ B}}x+{{ C}})+{{ D}}
\\ \quad \\
f(x)=&{{ A}}\sqrt{{{ B}}x+{{ C}}}+{{ D}}
\\ \quad \\
f(x)=&{{ A}}(\mathbb{R})^{{{ B}}x+{{ C}}}+{{ D}}
\\ \quad \\
f(x)=&{{ A}} sin\left({{ B }}x+{{ C}} \right)+{{ D}}
\end{array}$

$\bf \begin{array}{llll}
% right side info
\bullet \textit{ stretches or shrinks horizontally by } {{ A}}\cdot {{ B}}\\\\
\bullet \textit{ flips it upside-down if }{{ A}}\textit{ is negative}
\\\\
\bullet \textit{ horizontal shift by }\frac{{{ C}}}{{{ B}}}\\
\qquad if\ \frac{{{ C}}}{{{ B}}}\textit{ is negative, to the right}\\\\
\qquad if\ \frac{{{ C}}}{{{ B}}}\textit{ is positive, to the left}\\\\
\end{array}$

$\bf \begin{array}{llll}


\bullet \textit{ vertical shift by }{{ D}}\\
\qquad if\ {{ D}}\textit{ is negative, downwards}\\\\
\qquad if\ {{ D}}\textit{ is positive, upwards}\\\\
\bullet \textit{ period of }\frac{2\pi }{{{ B}}}
\end{array}$

so hmm if you notice, your f(x) there, looks just like g(x), but is "shifted horizontally" by about 9 units to the right

that simply means, based on that template above, that C/B = -9, and we can simply make B = 1 and C = -9, and we get C/B = -9/1 which is -9

thus $\bf \begin{array}{llcll}
f(x)=g(&1x&-9)\\
&\uparrow &\uparrow \\
&B&C
\end{array}\iff f(x)=g(x-9)$