Answer:
x = ±6
Step-by-step explanation:
6x² - 216 = 0
( Add 216 to both sides )
6x² = 216
( Divide both sides by 6 to isolate x² )
x² = 36
( Square root both sides to isolate x )
x = ±6
Answer:
- (x, y) = (8, -1)
- (x, y) = (7, 10.5)
Step-by-step explanation:
1. You can use the expression for y to substitute into the first equation:
2x +4(1/4x -3) = 12
2x +x -12 = 12 . . . . . . eliminate parentheses
3x = 24 . . . . . . . . . . . add 12; next divide by 3
x = 8 . . . . . matches choice C
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2. You can use the expression for y to substitute into the second equation:
x -2(2x -3.5) = -14
-3x +7 = -14 . . . . . . eliminate parentheses
21 = 3x . . . . . . . . . . add 3x+14; next divide by 3
7 = x . . . . . matches the third choice
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When the answer choices are sufficiently different, you only need to find one value to determine which is the correct choice. (If you want to check your work further, you can substitute the other answer value into the two equations to see if it works.)
Answer:
Step-by-step explanation:
We can write this rate as an ordinary differential equation.
Where a is proportional constant, P the population variable, and t the time.
Integrating each side of the equation.
To find C we need to use the initial condiction, it means evaluae P at t=0.
Now, we use the sentence the population has doubled in 5 years.
We can find "a" in this condition.
Finally, let's find how long will it take to triple.
I hope it helps you!
Answer:
<u>m∠CAD is 100°</u>
Step-by-step explanation:
The angles of a triangle always add up to 180 degrees.
Add...
100+x=180
Subtract 100 from each side...
x=80°
m∠CAB=80
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A line is always 180°... line DB consists of m∠CAB (just solved) and m∠CAD (which the answer asks)
m∠CAB+m∠CAD=DB
Substitute in the information we have.
80°+m∠CAD=180°
Subtract 80 from both sides...
<u>m∠CAD is 100°</u>
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I hope my answer makes sense to you! :)
Well, i know that a non linear function always has a number power greater than 1, and a linear function only has a number power 1 or less.
Hope this helps