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3 years ago

8

Two trains start from towns 256 miles apart and travel towards each other on parallel tracks. They pass each other 1.6 hours lat

er. If one train travels 10 mph faster than the other, find the speed of each train.

1 answer:

Alecsey [184]3 years ago

5 0

One train is going 85 mph and the other 75 mph

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The function f(x)={1/5}^x is translated up 4 units. Which equation represents the translated function

insens350 [35]

$f(x+n)\to\text{translation n units left}\\\\f(x-n)\to\text{translation n units right}\\\\f(x)+n\to\text{translation n units up}\\\\f(x)-n\to\text{translation n units down}\\\\\\f(x)=\left(\dfrac{1}{5}\right)^x\to f(x)+4=\left(\dfrac{1}{5}\right)^x+4\\\\Answer:\ g(x)=\left(\dfrac{1}{5}\right)^x+4$

3 0

3 years ago

10. Jan purchased 140 shares of stock in the ABC Company at a price of $18.75 per share. During the

andre [41]

$\bold{\huge{\orange{\underline{ Solution }}}}$

$\bold{\underline{ Given :- }}$

<u>Jan </u><u>purchased </u><u>1</u><u>4</u><u>0</u><u> </u><u>shares </u><u>of </u><u>stock </u><u>in </u><u>ABC </u><u>company </u><u>at </u><u>a </u><u>price </u><u>of </u><u>$</u><u>1</u><u>8</u><u>.</u><u>7</u><u>5</u><u> </u><u>per </u><u>share </u>
<u>During </u><u>the </u><u>next </u><u>3</u><u> </u><u>days</u><u>, </u><u> </u><u>the </u><u>value </u><u>of </u><u>share </u><u>declined </u><u>by </u><u>$</u><u>1</u><u>.</u><u>0</u><u>0</u><u> </u><u>,</u><u> </u><u>$</u><u>1</u><u>.</u><u>7</u><u>5</u><u> </u><u>and </u><u>$</u><u>1</u><u>.</u><u>5</u><u>0</u>

$\bold{\underline{ To \: Find :- }}$

<u>We </u><u>have </u><u>to </u><u>find </u><u>the </u><u>value </u><u>of </u><u>a </u><u>share </u><u>of </u><u>ABC </u><u>stock </u><u>at </u><u>the </u><u>end </u><u>of </u><u>3</u><u> </u><u>days </u>

$\bold{\underline{ Let's \: Begin :- }}$

<u>According </u><u>to </u><u>the </u><u>question</u><u>, </u>

Cost of 1 share of ABC company = $18.75

<u>Therefore</u><u>, </u>

Cost of 140 shares purchased by Jan in the ABC company

$\sf{ = 140 × 18.75 }$

$\sf{ = 2625\: dollars }$

<u>Now</u><u>, </u>

For next 3 days, the value of share declined

$\sf{ = (1 + 1.75 + 1.50)dollars }$

$\sf{ = 4.25 \: dollars }$

<u>Therefore</u><u>, </u>

The value of shares after 3 days will be

$\bold{ = }{\bold{\frac{2625 - 4.25}{ 140}}}$

$\bold{ = }{\bold{\frac{ 2620.75}{ 140}}}$

$\bold{\red{ = 18.75\: dollars}}$

Hence, The value of share after 3 days will be $18.75 .

5 0

2 years ago

Completing the square

kogti [31]

Please provide a square, thank you !!!

8 0

3 years ago

3x + y = 19 , and x + 3y = 1. Find the value of 2x + 2y

soldi70 [24.7K]

$3x+y=19 \\
x+3y=1 \\ \\
\hbox{add the sides of the equations:} \\
3x+x+y+3y=19+1 \\
4x+4y=20 \\ \\ \hbox{divide both sides by 2:} \\
2x+2y=10$

The answer is d. 10.

6 0

3 years ago

Plz help me :^(( tyy

Whitepunk [10]

Plug in 1 for x
f(1) = |1-3| + 7
|1-3| = |-2| = 2
f(1) = 2 + 7
Solution: f(1) = 9

5 0

3 years ago