Answer:
x = .87, or when approximated to a fraction, 27/31
y = -3.67, or when approximated to a fraction, -1287/350
Step-by-step explanation:
Lets start by rewriting out our equations
2x + 7y = -24
18x + y = 12
Lets solve for a y value; the second equation is easiest, as the y value has no coefficient (the number that is multiplied times a variable). To do this, lets move the 18x to the other side. Now our two equations look like:
2x + 7y = -24
y = -18x + 12
Next, lets plus the second equation into the first equation in regards to y.
2x + 7(-18x + 12) = -24
Now, lets solve!
2x -126x + 84 = -24
Then, combine your terms!
-124x = -108
Divide by (-124)!
x = -108/-124
x = 27/31
Now that we know x, lets plug this back in to the first equation to find y!
2(27/31) + 7y = -24
1.74 + 7y = -24
7y = -25.74
y = -3.67, or when approximated to a fraction, -1287/350
Answer:
<em>Both trains will meet at 2.2 hours (2 hours and 12 minutes).</em>
Step-by-step explanation:
<u>Relative Speed</u>
If two moving objects are traveling through the same line and have speeds v1 and v2 respectively, their relative speed is vr = v1-v2.
Both trains travel toward each other, which means their speeds are of opposite signs.
Let's assume the first train has a positive speed of 65 mph, and the second train has a negative speed of -85 mph. Then, the relative speed is vr = 65 + 85 = 150 mph.
To calculate the time they take to meet, we apply the formula:


Both trains will meet at 2.2 hours (2 hours and 12 minutes).
Hey there!
To start, you must use the distance formula which is
.
x1 and x2 are the x coordinates of the points (it does not matter which one you assign to be x1 and x2) and y1 and y2 are the y coordinates (also does not matter which one you assign to be y1 and y2).
Now, set up your formula and simplify:


=
≈ 25.0799
Answer: Initial Value: 3 Base: 5/4 Domain: (-infinity, infinity) Range: (0, infinity)
Step-by-step explanation:
Function: y = 3(\frac{5}{4} )^{x}
Hi there!
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I believe your answer is:
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Here’s why:
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Hope this helps you. I apologize if it’s incorrect.