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Sphinxa [80]
3 years ago
14

Find the zeros of the function.

Mathematics
1 answer:
Reika [66]3 years ago
8 0

Answer:

x = - 4, x = - \frac{1}{5}

Step-by-step explanation:

To find the zeros let g(x) = 0, that is

(- 5x - 1)(2x + 8) = 0 ← in standard form

Equate each factor to zero and solve for x

- 5x - 1 = 0 ( add 1 to both sides )

- 5x = 1 ( divide both sides by - 5 )

x = \frac{1}{-5} = - \frac{1}{5}

2x + 8 = 0 ( subtract 8 from both sides )

2x = - 8 ( divide both sides by 2 )

x = - 4

Thus

smaller x = - 4

larger x = - \frac{1}{5}

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36.1 and 36.10 soooooo
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4 years ago
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A pitcher of juice holds 9 cups. How many 3/4 cup servings of juice are in the pitcher?
stepladder [879]

Answer:

There will be 12 3/4th cups

Step-by-step explanation:


5 0
4 years ago
. A firm produces a commodity and receives $100 for each unit sold. The cost of producing and selling x units is 20x + 0.25x 2 d
kirza4 [7]
So for each unit they get $100, so if they sell "x" units, they intake 100x, that's just the gross income, and therefore the Revenue.

Now, they have a cost of 20x + 0.25x² if they "x" units, now, bearing in mind that if you pluck out the costs out of the incoming revenue, what's leftover, is a surplus amount, namely the Profit.  Therefore, profit p(x) = revenue - costs, or  100x - (20x + 0.25x²), which is p(x) = -0.25x² +80x.

a)
now, what's the highest profit they can make?  check the picture below.

\bf p(x)=-0.25x^2+80x\\\\
-------------------------------\\\\
\textit{ vertex of a vertical parabola, using coefficients}\\\\
\begin{array}{lcclll}
p(x) = &{{ -0.25}}x^2&{{ +80}}x&{{ +0}}\\
&\uparrow &\uparrow &\uparrow \\
&a&b&c
\end{array}\qquad 
\left(-\cfrac{{{ b}}}{2{{ a}}}\quad ,\quad  {{ c}}-\cfrac{{{ b}}^2}{4{{ a}}}\right)
\\\\\\
\left( -\cfrac{80}{-0.50}~,~0-\cfrac{80^2}{-1} \right)\implies \left( \stackrel{\textit{quantity}}{160}~,~\stackrel{\textit{profit value}}{6400}  \right)

b)

well, if a tax is imposed on them, and say, they take it out of the revenue, then their new revenue is not 100x, is 90x, thus   \bf p(x)=-0.25x^2+70x

and you can use the same formula as above to get the x-coordinate for that vertex.

\bf p(x)=-0.25x^2+70x\\\\
-------------------------------\\\\
\textit{ vertex of a vertical parabola, using coefficients}\\\\
\begin{array}{lcclll}
p(x) = &{{ -0.25}}x^2&{{ +70}}x&{{ +0}}\\
&\uparrow &\uparrow &\uparrow \\
&a&b&c
\end{array}\qquad 
\left(-\cfrac{{{ b}}}{2{{ a}}}\quad ,\quad  {{ c}}-\cfrac{{{ b}}^2}{4{{ a}}}\right)
\\\\\\
\left( -\cfrac{70}{-0.50}~,~0-\cfrac{70^2}{-1} \right)

7 0
3 years ago
Of all the students that Mikey surveyed, 30% said they play baseball. If 21 students play baseball, how many students did Mikey
Ulleksa [173]

Answer:

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Step-by-step explanation:

As, 30% Mike surveyed

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5 0
3 years ago
Complete the following t-chart.
poizon [28]
1) given
2) combine the -2-9 and get -11
3) add x to each side
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