The two lines represent the distance traveled, over time, by two trains. Which train is traveling more quickly?

Mathematics

1 answer:

vagabundo [1.1K]2 years ago

4 0

Answer:

Step-by-step explanation:

if the line is steeper it means that it increases quickly

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Solve each system by substitution. -5x + 3y = 3 and -4x + y = 1

taurus [48]

$\left\{\begin{array}{ccc}-5x+3y=3\\-4x+y=1&|\text{add 4x to both sides}\end{array}\right\\\\\left\{\begin{array}{ccc}-5x+3y=3\\y=4x+1&(*)\end{array}\right\\\\\text{Substitute }\ (*)\ \text{to the first equation}\\\\-5x+3(4x+1)=3\qquad\text{use distributive property}\\\\-5x+(3)(4x)+(3)(1)=3\\\\-5x+12x+3=3\qquad\text{subtract 3 from both sides}\\\\7x=0\qquad\text{divide both sides by (-5)}\\\\\boxed{x=0}\\\\\text{Substitute the value of x to}\ (*):\\\\y=4(0)+1\\y=0+1\\\boxed{y=1}\\\\Answer:\ x=0\ and\ y=1.$

5 0

2 years ago

A ball is thrown with an initial velocity of 32 ft/s from a height of 4.5 feet. It’s height as a function of time is given by th

Lana71 [14]

Answer:

the ball will be in the air for possibly 2.5 seconds and it max hieght was 10 ft

Step-by-step explanation:

no clue

6 0

2 years ago

X-4y-8=6/8+-8y-2y<br>5y-3(6-7/8)=5x-4y+3

Ivan

First simplify

x-4y-8=3/4-10y
add 10y both sides and add 8
x+6y=8+3/4
times 4 both sides
4x+24y=32+3
4x+24y=35

5y-3(6-7/8)=5x-4y+3
add 4y both sides
9y-3(6-7/8)=5x+3
distribute
9y-18+21/8=5x+3
minus 5x both sides
9y-5x-18+21/8=3
add 18 to both sides and minus 21/8 both sides
9y-5x=21-21/8
times 8 both sides
72y-40x=147
72y-40x=147

so we got

24y+4x=35
72y-40x=147

multiply first equation by -3 and add to 2nd

-72y-12x=-105
72y<span>-40x=147 +</span>
0y-52x=42

-52x=42
divide both sides by -52
x=-21/26
sub back

24y+4x=35
24y+4(-21/26)=35
using math
y=497/312

the solution is
$( \frac{-21}{26}, \frac{497}{312} )$