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Illusion [34]
4 years ago
8

A taxi ride costs 2.75 for the first quarter of a mile and 0.85 for each susequent quarter mile

Mathematics
1 answer:
Serggg [28]4 years ago
4 0
Equation would be
for the nth mile the cost would be
f(n)=(n-1)0.85+2.75
that way, for the 1st mile, the 0.85 doesn't apply
then for the next miles, it does
we can distribute it
0.85(n-1)=0.85n-0.85
so we have
f(n)=0.85n-0.85+2.75
f(n)=0.85n+1.9

the new equtation is cost for the nth mile is 0.85n+1.9
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9 = -3 + n + 2n what does n equal ?
coldgirl [10]

Step-by-step explanation:

9=-3+n+2n

9+3=n+2n

12=3n

n=12/3

n=4

5 0
3 years ago
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Properties of translation and reflation quiz iready answer guide
GaryK [48]

Step-by-step explanation:

The property of translations on a coordinate plane, is pretty easy to remember, if you go up, you add to the y, if you go down, subtract from the y

If you go left, subtract from the x, if you go right, add to the x.

Example: State the number of moves the x and y variable in each vertex had to go through and what direction, (-100, 27) to (100,0)

Answer:

The x had to go through 200 moves to the right to add 200 onto the x

The y had to go through 27 moves to the left to subtract 27 from y.

Hope this helps!

8 0
3 years ago
NEED HELP ASAP 1 HOUR LEFT
katen-ka-za [31]

Using the vertex of a quadratic function, it is found that:

a) The revenue is maximized with 336 units.

b) The maximum revenue is of $56,448.

<h3>What is the vertex of a quadratic equation?</h3>

A quadratic equation is modeled by:

y = ax^2 + bx + c

The vertex is given by:

(x_v, y_v)

In which:

  • x_v = -\frac{b}{2a}
  • y_v = -\frac{b^2 - 4ac}{4a}

Considering the coefficient a, we have that:

  • If a < 0, the vertex is a maximum point.
  • If a > 0, the vertex is a minimum point.

The demand function is given by:

p(x) = 336 - 0.5x.

Hence, the revenue function is:

R(x) = xp(x)

R(x) = -0.5x² + 336x.

Which has coefficients a = -0.5, b = 336.

Hence, the value of x that maximizes the revenue, and the maximum revenue, are given, respectively, as follows:

  • x_v = -\frac{336}{2(-0.5)} = 336
  • y_v = -\frac{336^2 - 4(-0.5)(0)}{4(-0.5)} = 56448

More can be learned about the vertex of a quadratic function at brainly.com/question/24737967

#SPJ1

6 0
2 years ago
Suppose you wanted to estimate the time in minutes the average person spends on e-mail a day. It’s estimated that the standard d
ZanzabumX [31]

Answer:

We need a sample size of at least 1698.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.99}{2} = 0.005

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.005 = 0.995, so z = 2.575

Now, find the margin of error M as such

M = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

You want the margin of error to be only one minute. What sample size do you need if the confidence level is 99%?

This is at least n when M = 1, \sigma = 16. So

M = z*\frac{\sigma}{\sqrt{n}}

1 = 2.575*\frac{16}{\sqrt{n}}

\sqrt{n} = 2.575*16

(\sqrt{n})^{2} = (2.575*16)^{2}

n = 1697.4

Rouding up

We need a sample size of at least 1698.

3 0
3 years ago
Someone wanna help me please
Ludmilka [50]

See explanations.

Step-by-step explanation:

1. Triangles are similar

  Reason: corresponding angles are equal/congruent.This means;

  ∠A≅∠D  , ∠C≅∠F and ∠B≅∠E

2.

a) Triangles are similar

   Reason: corresponding angles are congruent.

   15/5 =a/3

    3=a/3

    3*3=a

      a=9cm

b) Triangles are similar because angles in corresponding sides are congruent.

  20/12=15/b

  20b=12*15  -----cross product applied

   20b=180

        b=180/20

        b=9 cm

c) Triangles are because angles in corresponding sides are congruent.

   15/5=d/4

   cross product

   15*4=5d

    60=5d

    60/5 =d

     12m =d

Learn More

Properties of similar triangles: brainly.com/question/8691470

Keywords : triangles, similar, length,

#LearnwithBrainly

8 0
3 years ago
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