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Alinara [238K]
3 years ago
10

an automobile and a train move together along parallel paths at 39.1 m/s. The automobile then undergoes a uniform acceleration o

f -4 m/s/s because of a red light and comes to rest. it remains at rest for 22.5 seconds, then accelerates back up to a speed of 39.1 m/s at a rate of 2.53 m/s/s. how far behind the train is the automobile when it reaches the speed of 39.1 m/s, assuming that the train speed has remained at 39.1 m/s. answer in units of m.
Mathematics
1 answer:
Greeley [361]3 years ago
5 0

Answer:

I am not sure because i need a little more info but try 763.

Step-by-step explanation:

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slava [35]
The left side−8 is less than the right side48
,which means that the given statement is always true.
True
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4 years ago
G(n) = n2 − 20n + 95 Rewrite the function in vertex form by completing the square. Show your work.
Aleksandr [31]
Y = n^2 - 20n + 95
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answer is : G(n) = (n-10)^2 - 5
7 0
4 years ago
If a 1 = −3 and a n = −2an − 1, what is the fifth term of the sequence?
-BARSIC- [3]

Answer:

d

Step-by-step explanation:

o

8 0
3 years ago
Read 2 more answers
A coach purchases 47 hats for his players and their families at a total cost of $302. The cost of a small hat is $5.50. A medium
blagie [28]

Answer:

d. 23

Step-by-step explanation:

 x: small hat

 y: medium hat

 z: large hat

 We now write the system of equations:

 x + y + z = 47

 5.50x + 6y + 7z = 302

 -3x + y = 0

 We can write the system in matrix form as:

 Ax = b

 Where,

 A = [1  1  1; 5.50  6  7; -3  1  0]

 b = [47;  302;  0]

 x = [x;  y ;  z]

 Solving the system we have:

 x = 6

 y = 18

 z = 23

hope this helps

correct me if this is wrong

7 0
3 years ago
What is the equation of the line passing through the points  (Two-fifths, StartFraction 19 Over 20 EndFraction)and  (one-third,
Vinil7 [7]
<h3>4x - 8y = -6 is the equation of line in standard form</h3>

<em><u>Solution:</u></em>

<em><u>The equation of line in point slope form is given as:</u></em>

y - y_1 = m(x-x_1)

Where, m is the slope of line

<em><u>The slope of line is given as:</u></em>

m = \frac{y_2-y_1}{x_2-x_1}

From given,

(x_1, y_1) = (\frac{2}{5} , \frac{19}{20})\\\\(x_2, y_2) = (\frac{1}{3} , \frac{11}{12})

<em><u>Substituting the values we get,</u></em>

m = \frac{\frac{11}{12} - \frac{19}{20}}{\frac{1}{3} - \frac{2}{5}}\\\\Simplify\\\\m = \frac{-8}{240} \times \frac{15}{-1}\\\\ m = \frac{120}{240}\\\\m = \frac{1}{2}

\text{Substitute } m = \frac{1}{2} \text{ and } (x_1, y_1) = (\frac{2}{5} , \frac{19}{20}) \text{ in eqn 1 }

y - \frac{19}{20} = \frac{1}{2}(x - \frac{2}{5})\\\\y - \frac{19}{20} = \frac{x}{2} - \frac{1}{5}\\\\\frac{x}{2} - y = - \frac{19}{20} + \frac{1}{5}\\\\\frac{x}{2} - y = \frac{-15}{20}\\\\Simplify\\\\y = \frac{1}{2}x + \frac{3}{4}

In standard form,

y = \frac{4x+6}{8}\\\\8y = 4x + 6\\\\4x - 8y = -6

Thus the equation of line is found

3 0
3 years ago
Read 2 more answers
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