9514 1404 393
Answer:
6. x = 3
8. x = -7.5
Step-by-step explanation:
Put the number in place of the expression it is equal to, then solve for x.
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6) g(x) = -x +5
2 = -x +5 . . . . . . . . . g(x) is replaced by 2, because g(x) = 2
x +2 = 5 . . . . . . . . . . add x to both sides
x = 3 . . . . . . . . . . . . . subtract 2 from both sides
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8) n(x) = -2x -21
-6 = -2x -21 . . . . . n(x) is replaced by its equal: -6
3 = x +10.5 . . . . . . divide both sides by -2
-7.5 = x . . . . . . . . . subtract 10.5 from both sides
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<em>Additional comment</em>
We have shown a couple of ways these equations can be solved. You can separate the x-term and the constant terms before you divide by the x-coefficient, or you can do it after. In the first equation, we could have solved it ...
2 -x +5
-3 = -x . . . . subtract 5
3 = x . . . . . . multiply by -1
The way we did it avoids negative numbers.
Each bottle costs seven dollars. Two of them would cost $14 and three would cost $21. Buying three bottles, the amount is $21 which exceeds $16. Therefore, a $5 discount will be given. Subtracting $5 from the $21 will give $16. You have just enough amount to buy THREE bottles of olive oil.
.2 per treat 2 cents per treat
-Opens down
-Maximum
-Y int (0,3)
-Axis of symmetry x=0
-vertex (0,3)
-(2,3) (-2,-3)
This is the the concept of trigonometry, to get the sine value of the the function given we shall proceed as follows;
Using Pythagorean theorem, the hypotenuse of the triangle will be found as follows;
The side length will be 8 units since the y-coordinate is -8
The side width will be 3 units since the x- coordinate is 3
c^2=a^2+b^2
c^2=(3)^2+(-8)^2
c^2=9+64
c^2=73
c=sqrt(73)
Therefore the sine value will be:
sin x=3/sqrt(73)
multiply both numerator and denominator by sqrt(73) we get:
sin x=(3√73)/73
Therefore the answer is A]
