Answer:
(f-g)(x)
= -x^2 - 2x + 2
Step-by-step explanation:
(f-g)(x) means
f(x) - g(x)
= x - 2 - (x^2+3x-4)
distribute the subtraction to all three of the last terms.
= x - 2 - x^2 - 3x + 4
combine like terms
= -x^2 - 2x + 2
Answer:
standard form is Ax + by + c = 0
Step-by-step explanation:
add 5x to each side to get 5x + y - 2 = 0
Answer:
Large boxes are 18.25 kg
Small boxes are 15.25 kg
Step-by-step explanation:
This is a system of equations. You need to set up each equation first.
I am assigning x to be big boxes and y to be small boxes.
5x + 3y = 137
2x + 6y = 128
To solve, you will need to eliminate a variable. That means you will have to multiply one of the equations by a number to make it so a variable will be eliminated. I will be multiplying the top equation by -2.
-2 ( 5x + 3y = 137)
2x + 6y = 128
Distribute the -2 to everything in the parentheses in the first equation.
-10x - 6y = -274
2x + 6y = 128
Notice the 6y will go away because -6y + 6y = 0. Now add the equations together. The remaining equation is:
-8x = -146
Solve for x by dividing by -8.
x = 18.25
Now plug that into one of the original equations.
2(18.25) + 6y = 128.
36.5 + 6y = 128 Subtract 36.5 from each side
-36.5 -36.5
6y = 91.5 Divide by 6 to solve
y = 15.25
Recall the Trigonometric Ratio below:
For csc, sec and cot - they are reciprocal of sin,cos and tan.
What we know now is our hypotenuse, adjacent and opposite length.
- hypotenuse = 15
- opposite = 12
- adjacent = 9
Therefore,
As for the reciprocal of three trigonometric ratio. We just swap the numerator and denominator.
Answer
- sin = 12/15 —> 4/5
- cos = 9/15 —> 3/5
- tan = 12/9 —> 4/3
- csc = 15/12 —> 5/4
- sec = 15/9 —> 5/3
- cot = 9/12 —> 3/4
The first is non-simplifed form while the second that has the arrow pointing is the simplest form.
Let me know if you have any doubts.
Answer:
the slope is 1, y-intercept is (0,5) hope this helps!
Step-by-step explanation:
