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lukranit [14]
3 years ago
7

Solving equations 3(2x-1)=6

Mathematics
1 answer:
Lubov Fominskaja [6]3 years ago
6 0

Answer:

x = 3/2 or 1.5

Step-by-step explanation:

distribute 3 to the 2x and -1 by multiplying

6x - 3 = 6

add 3 to both sides to get 6x by itself and it keeps both sides equal

6x = 9

divide by 6

x = 9/6 = 3/2

x = 3/2

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Find the distance between the points. (Round your answer to two decimal places. (9.7, - 2.8), (- 3.2, 8.8)
Dmitry [639]

Answer:

Rounding it to two decimal places, we get distance, d=17.35

Step-by-step explanation:

Given:

The two points are (9.7, -2.8)\textrm{ and }(-3.2, 8.8)

The distance between the two points can be obtained using the distance formula which is given as:

d=\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}

Here, for the points, (9.7, -2.8)\textrm{ and }(-3.2, 8.8)

x_{1}=9.7,x_{2}=-3.2,y_{1}=-2.8,y_{2}=8.8

Therefore, the distance between the points is:

d=\sqrt{(-3.2-9.7)^2+(8.8-(-2.8))^2}\\d=\sqrt{(-12.9)^2+(8.8+2.8)^2}\\d=\sqrt{(12.9)^2+(11.6)^2}\\d=\sqrt{166.41+134.56}\\d=\sqrt{300.97}=17.348

Rounding it to two decimal places, we get d=17.35

7 0
3 years ago
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.
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3 years ago
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m_a_m_a [10]
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3 years ago
Which of the following indicate a quadratic equation?  Select all that apply.​
neonofarm [45]

Answer:

uhh is there suppose to be more to the question??

8 0
4 years ago
What sum is equal to 5/7
iren [92.7K]
0.714 is the same as 5/7.
3 0
3 years ago
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