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monitta
3 years ago
8

How do you graph it on a line

Mathematics
1 answer:
Aleonysh [2.5K]3 years ago
8 0

In order to draw x ≤ -10 on a number line, first draw a closed dot at -10. This is because we have a ≤ and not a <. If we had a <, it would be an open dot.

Next, since we want x to be smaller, draw an arrow pointing towards all numbers that are smaller. This arrow would point to the left.

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Create a number line. Plot the following numbers on the number line: 5, -10, 20, -5, 0, 10, -20
Goryan [66]
-20,-10,-5,0,5,10,20
4 0
3 years ago
Two passenger train, A and B, 450 km apart, star to move toward each other at the same time and meet after 2hours.
likoan [24]

Let v be the speed of train A, and let's set the origin in the initial position of train A. The equations of motion are

\begin{cases}s_A(t) = vt\\s_B(t) = -\dfrac{8}{7}vt+450\end{cases}

where s_A,\ s_B are the positions of trains A and B respectively, and t is the time in hours.

The two trains meet if and only if s_A=s_B, and we know that this happens after two hours, i.e. at t=2

\begin{cases}s_A(2) = 2v\\s_B(2) = -\dfrac{16}{7}v+450\end{cases}\implies 2v = -\dfrac{16}{7}v+450

Solving this equation for v we have

2v = -\dfrac{16}{7}v+450 \iff \dfrac{30}{7}v=450 \iff v=\dfrac{450\cdot 7}{30} = 105

So, train A is travelling at 105 km/h. This implies that train B travels at

105\cdot \dfrac{8}{7} = 15\cdot 8=120 \text{ km/h}

5 0
2 years ago
Simplify the expression 4y - 1 - 3y + 2
victus00 [196]
Okay, so basically all you need to do is combine like terms!
in this case, 4y and -3y are like terms... and -1 and 2 are like terms
so, 4y - 3y is 1y or y
and -1 + 2 is 1

so your simplified answer is y + 1

I hope this helps!!
3 0
3 years ago
There are 18 sweets in a packet. 8 of the sweets are mint what fraction of the sweets are not mint
Tcecarenko [31]
10/18 because 18-8=10 and the total amount is 18 so the fraction is 10/18
6 0
2 years ago
Read 2 more answers
Laws of sines!!!!! Find C round to the nearest tenth!!!!! helpppp!!!!!​
Furkat [3]

Answer:

c =9.7 cm

Step-by-step explanation:

Law of sines:

sin (82) / c = sin(55) / 8

0.9903 / c = 0.8192 / 8

c = 0.9903 * 8 / 0.8192

c =9.7 cm

3 0
3 years ago
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