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Andru [333]
2 years ago
12

EASY- 50 PTS ALGEBRA/ FUNCTION/ GRAPH MATH

Mathematics
2 answers:
iren [92.7K]2 years ago
5 0

Answer:

B :D

Step-by-step explanation:

alekssr [168]2 years ago
3 0

9514 1404 393

Answer:

  B.  Up 1 and 2 to the left

Step-by-step explanation:

The second graph (blue) is up 1 and 2 left of the first graph (red).

__

You can compare the given equations to the form ...

  y = a(x -h)^2 +k

For the first graph, we have (h, k) = (6, -1).

For the second graph, we have (h, k) = (4, 0).

Then the amount added to the first to make the second is ..

  (4, 0) -(6, -1) = (-2, 1) . . . . . . a translation 2 left and 1 up

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A travel agent currently has 80 people signed up for a tour. The price of a ticket is $5000 per person. The agency has chartered
Nikolay [14]
So hmm let's take a peek at the cost first

so, they chartered the plane for 150 folks with a fixed cost of 250,000
now, incidental fees are 300 per person, if we use the quantity "x", for how many folks, then if "x" persons are booked, then incidental fees are 300x

so, more than likely an insurance agency is charging them 300x for coverage

anyway, thus the cost C(x) = 250,000 + 300x

now, the Revenue R(x), is simple is jut price * quantity

well, the price, thus far we know is 5000 for 80 folks, but it can be lowered by 30 to get one more person, thus increasing profits

so... let's see what the price say y(x) is  \bf \begin{array}{ccllll}
quantity(x)&price(y)\\
-----&-----\\
80&5000\\
81&4970\\
82&4940\\
83&4910
\end{array}\\\\
-----------------------------\\\\

\bf \begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
%   (a,b)
&({{ 80}}\quad ,&{{ 5000}})\quad 
%   (c,d)
&({{ 83}}\quad ,&{{ 4910}})
\end{array}
\\\quad \\\\
% slope  = m
slope = {{ m}}= \cfrac{rise}{run} \implies 
\cfrac{{{ y_2}}-{{ y_1}}}{{{ x_2}}-{{ x_1}}}\implies \cfrac{-90}{3}\implies -30
\\ \quad \\\\
% point-slope intercept
y-{{ 5000}}={{ -30}}(x-{{ 80}})\implies y=-30x+2400+5000\\
\left.\qquad   \right. \uparrow\\
\textit{point-slope form}
\\\\\\
y=-30x+7400

so.. now we know y(x) = -30x+7400

now, Revenue is just price * quantity
the price y(x) is -30x+7400, the quantity is "x"

that simply means R(x) = -30x²+7400x


now, for the profit P(x)

the profit is simple, that is just incoming revenue minus costs, whatever is left, is profit
so P(x) = R(x) - C(x)

P(x) = (7400x - 30x²) - (250,000+300x)

P(x) = -30x² + 7100x - 250,000

now, where does it get maximized? namely, where's the maximum for P(x)?

well \bf \cfrac{dp}{dx}=-60x+7100

and as you can see, if you zero out the derivative, there's only 1 critical point, run a first-derivative test on it, to see if its a maximum
7 0
3 years ago
A DEF has vertices D(-5,-1), E (3, 3), and F (1,-5). Find the equation of the altitude through F in
Tems11 [23]

Answer:

y = -2x -3

Step-by-step explanation:

- the altitude trough F is a perpendicular line to the line DE

- find slope of line DE

D ( x2 = -5, y2 = -1); E (x1 = 3, y1 = 3)

slope m = (y2-y1) / (x2-x1) = (-1-3) / (-5-3) = -4/ -8 = 1/2

-find equation of the altitude trough F

lines that are perpendicular have the slope negative reciprocal (negative reciprocal of 1/2 is -2)

y= -2x +b , for point F(1, -5)

-5 = -2*1 +b, add 2 to both sides

-5 +2 = b, combine like terms

-3 =b

equation of the altitude trough F is y = -2x -3

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2 years ago
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Mrac [35]
1. It is important to go through each of the words given in the question to get through to the actual answer. The function will be:
y= (4 * x) - 5
  = 4x - 5

2. The function of this statement will be
(h/3) + 2.5 = w

1. Let us assume the price of a pizza = p
    From the first part we can write 
    p = $6.95
    On adding the price of each topping "t" we get
    p = $6.95 + ($0.95) * t
       = <span>$6.95 + $0.95t</span>
    I hope it helps you.
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maxonik [38]

Answer:

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Step-by-step explanation:

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lidiya [134]
The student had a 40% error estimate
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