<span>f(x) = the quantity of x plus 7, divided by 5
</span>
To get the inverse
of any function f(x) [ just make sure that it passes the horizontal line test]
follow the steps:
- Solve for x, i.e separate x in one side
and the other terms in the other side, included f(x).
- Swap x and f(x).
- The result is the inverse of the original
function 
So that:
and for the value of 3:
I hope that
helps!
Answer: the cost of one package of macadamia nut chip cookie dough is $1.5
the cost of one package of triple chocolate cookie dough is $2.5
Step-by-step explanation:
Let x represent the cost of one package of macadamia nut chip cookie dough.
Let y represent the cost of one package of triple chocolate cookie dough.
Mrs. Julien’s class sold 25 packages of macadamia nut chip cookie dough and 30 packages of triple chocolate cookie dough for a total of $112.50. This means that
25x + 30y = 112.5 - - - - - - - - - - - - -1
Mrs. Castillejo’s class sold 8 packages of macadamia nut chip cookie dough and 45 packages of triple chocolate cookie dough for a total of $124.50. This means that
8x + 45y = 124.5 - - - - - - - - - - -2
Multiplying equation 1 by 8 and equation 2 by 25, it becomes
200x + 240y = 900
200x + 1125 = 3112.5
Subtracting, it becomes
- 885y = - 2212.5
y = - 2212.5/- 885
y = 2.5
Substituting y = 2.5 into equation 1, it becomes
25x + 30 × 2.5 = 112.5
25x + 75 = 112.5
25x = 112.5 - 75 = 37.5
x = 37.5/25 = 1.5
The method used is the elimination method. It is more convenient to use.
In the first quadrant, 0-90 degrees, the angle whose cotangent is is 45 degrees. The only other quadrant where cot theta is 1 is 3rd quadrant.
The 2 angles are 45 and 180+45 = 225 degrees
Answer 45 , 225 degrees.
Answer: First option.
Step-by-step explanation:
You can use the inverse tangent function to find the value of the angle T:
You can identify in the figure that:
Then, knowing these values, you can substitute them into .
Therefore, you get that the value of the angle T rounded to the nearest degree is:
This matches with the first option.
4. is correct
5. A is correct
6. B is correct
