Radio Barn : 200 + .15 x x = the weekly sales
Woofer: 300 + .10x
set them equal to find when they are them same
200 + .15x = 300 + .10x
subtract .10x from both sides
200 +.15x -.10x = 300 + .10x-.10x
200 +.05x = 300
subtract 200 from each side
200+.05x -200 = 300-200
.05x = 100
divide each side by .05
.05x/.05 = 100/.05
x =2000
The 2 jobs pay the same when the weekly sales are 2000 dollars
2. {x - 5 = -y}
{2y - 10 = -2x}
x-5 = -y
add 5 to each side
x = -y+5
multiply each side by -2
-2x = 2y -10
the 2 equations are the same, it has an infinite number of solutions
The system is dependent since the 2 equations are the same line
3. {2x = y - 7}
{4x - 2y - 14 = 0}
2x = y-7
subtract y-7 from each side
2x - (y-7) = 0
2x -y+7 =0
multiply by 2
4x -2y +14 =0
subtract the two equations
4x -2y +14 =0
4x - 2y - 14 = 0
---------------------------
28 = 0
since this cannot happen the lines will never cross ( parallel lines)
the system is inconsistent
Answer:
The value of Cos (-Ф) .
Step-by-step explanation:
Given Trigonometric function as :
sin( - Ф ) =
- sin Ф =
So, sin Ф =
Now, as sin Ф =
So , =
So, perpendicular = 3
And hypotenuse = 5
Now,<u> From Pythagoras Theorem</u>
Base ² = Hypotenuse² - Perpendicular²
Or, Base ² = 5² - 3²
Or, Base ² = 25 - 9
Or, Base ² = 16
∴ Base =
I.e Base = 4
Now, Cos Ф =
So, Cos Ф =
Now , Since
Cos ( - Ф ) = Cos Ф
So, Cos ( - Ф ) = Cos Ф =
Hence The value of Cos (-Ф) . Answer
Answer:
x = -1
Step-by-step explanation:
first you "remove the parentheses" by multiplying the number on the outside of them to everything on the inside. for instance, -2 x 2x = -4x and -2 x -6 = 12 (because whenever you multiply two negatives, it turns into a positive) then, when there is a minus sign in front of parentheses, you change the sign of everything within the parenthesis leaving you with a positive 5 and a negative 3x. so now you have a much simpler equation of -4x + 12 = 8 +5 -3x
next you want to of course add the 5 and the 8 to make it even more simple which would leave you with the equation:
-4x + 12 = 13 - 3x
The next thing you need to do is get the unknown variable on one side of the equation. So you do add 4x do get the x on the right side which would leave you with 12 = 13 - 3x + 4x
So now you can do the same thing to the 13 to try to get it on the left by subtracting 13 from both sides
12 - 13 = -3x + 4x
now you make the equation simple by "combining the like terms" (which is something you'll hear a lot in algebra class)
making you equation -1 = 1x
or just -1 = x because when you multiply something by 1, it's the same.