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harina [27]
3 years ago
10

Which quadratic function is represented by the graph?

Mathematics
1 answer:
sergey [27]3 years ago
6 0

Answer: 4 by 4

Step-by-step explanation:

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Write the solution to the inequality in set - builder notation:<br> 5r + 8 &lt; 63
Leni [432]
<span>First, the inequality needs to be solved. The first step is to subtract 8 from both sides of the inequality, leading to 5r < 55. Dividing 5 out from both sides, this will leave r < 11. Next, to form a set notation, the inequality is written in such form: {r | r < 11}.</span>
7 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
3 years ago
A rectangular patio has a length of 12 yards and a width of 8.6 yards.
Savatey [412]

Area = Length x width

Area = 12 x 8.6

Area = 103.2 square yards.

5 0
3 years ago
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Passes through (-4, -5), slope = 3/4
ra1l [238]

Answer:

Step-by-step explanation:

y+5 = ¾(x+4)

4 0
3 years ago
Jaz was 43 inches tall. Eighteen months later she was 52 inches tall. Find the constant rate of change of jaz's height
notka56 [123]

Answer:

.5 inches a month


Step-by-step explanation:

52 - 43 = 9 inches


9/18 = .5



8 0
3 years ago
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