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Verdich [7]
3 years ago
13

When purchasing an automobile, a down payment is _____.

Mathematics
1 answer:
GuDViN [60]3 years ago
7 0
I would say that the answer is d for that one
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The table below represents the distance of an airplane from its destination as a function of time:
Jlenok [28]
\bf \begin{array}{ccllll}
time(hours)&distance(miles)\\
-----&-------\\
0&2700\\
1&2160\\
2&1620\\
3&1080\\
4&540
\end{array}

part A)

y-intercept is when the graph "intercepts" or touches the y-axis, and when that happens, x = 0, on that table, is the very first row, 0, 2700.

what does that mean? well, at 0 hours, the plane was 2700 miles away.
or another way to put it, the plane was still on the runway at the airport and hadn't taken off at 0 hours, and the airport where it was is 2700 miles away from its destination.

part B)

from the table, we can see the x = 1, y = 2160, and when x = 4, y = 540,
so our two points are (1, 2160) and (4, 540).

\bf \begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
%   (a,b)
&({{ 1}}\quad ,&{{ 2160}})\quad 
%   (c,d)
&({{ 4}}\quad ,&{{ 540}})
\end{array}
\\\\\\
% slope  = m
slope = {{ m}}= \cfrac{rise}{run} \implies 
\cfrac{{{ y_2}}-{{ y_1}}}{{{ x_2}}-{{ x_1}}}\implies \cfrac{540-2160}{4-1}\impliedby 
\begin{array}{llll}
average\ rate\\
of\ change
\end{array}
\\\\\\
\cfrac{-1620}{3}\implies \boxed{-540}

or -540/1, well the top is the rise(miles) and the bottom is the run(hours)... so it means -540 miles per each 1hour,
or
for every passing hour the plane is travelling, the distance from its origin and its destination is shrinking, namely, is getting closer to its destination.

part C)

well, we know for every hour is dropping by 540, so, 4hrs is 540, so 5hours it will drop another 540, or 540 - 540 = 0

so, the domain will be [0, 5], since after 5hours it'd be at its destination, because at 5hrs the miles away is 0, meaning it arrived at the destination.
6 0
3 years ago
Read 2 more answers
Can anyone help with this <br> 35=11x <br> Can you do a step by step too<br><br> Thanks!
EastWind [94]

Answer:

x = \frac{35}{11}

Step-by-step explanation:

Given

35 = 11x ( isolate x by dividing both sides by 11 )

\frac{35}{11} = x

8 0
4 years ago
What is the sum of the infinite geometric series? -3-3/2
Juliette [100K]

Answer:

To find the sum of an infinite geometric series having ratios with an absolute value less than one, use the formula, S=a11−r , where a1 is the first term and r is the common ratio.

6 0
3 years ago
Read 2 more answers
7 divided by 1/5 as a quotient
MA_775_DIABLO [31]

Answer: 35

Step-by-step explanation:

7/1 x 5/1 = 35/1=35

When you divide by a fraction, you flip it around and multiply to get the answer.

5 0
3 years ago
If the height of a mountain erodes away by a total of
Paladinen [302]
The change in height every year is 0.2cm aka 2 millimeters.

1cm/5years = 0.2cm/1yr
5 0
3 years ago
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