Answer:
x = 3 && y = - 1
Step-by-step explanation:
Just solving the two equations
the first equation
y = 4/3 x +3
y - 4/3 x = 3 ..............................................(1)
the second equation
y = -2/3x -3
y + 2/3 x = -3 ..............................................(2)
by substracting 2 from 1
-4/3x - 2/3x = -6
divide by -1
4/3x +2/3x = 6
6/3x = 6
2x = 6
x= 3
then subsititute by value x in any of given eqautions
#4) From the reference angle of 58° we can see that we have the side opposite to that angle as well as the hypotenuse. Recall that sin=opp/hyp so we are going to use sine to find that side
sin(58°) =
(multiply both sides by 19 to isolate x)
19 sin(58°) = x (plug into calculator)
16.1 = x
#5) From the reference angle of 56°, we see that we have the adjacent and the opposite sides. Remember that tan=opp/adj so we will use tangent to find x
tan(56°) =
(multiply both sides by
)
(flip them so x is on the top)
[tex] \frac{12}{tan(56)} = x
8.1 = x
Given:
f(x) = 70n - 400 : equation for monthly profit.
n = number of students enrolled in the guitar class.
70 refers to the amount charged per student.
400 is the fixed expense made by the instructor.
For the instructor to have a profit, the product of 70n must be more than 400.
400/70 = 5.7 or 6
There must be at least 6 students enrolled in class for the instructor to generate profit.
f(x) = 70(6) - 400 = 420 - 400 = 20
1000 = 70n - 400
1000 + 400 = 70n
1400 = 70n
1400/70 = n
20 = n
There must be 20 students enrolled in class for the instructor to earn 1000 in profit.
1000 = 70(20) - 400
1000 = 1400 - 400
1000 = 1000
1. simplify -7x-3x+2 to -10x+2
-10x+2=-8x-8
2. add 10x to both sides
2=-8x-8+10x
3. simplify -8x-8+10x to 2x-8
2=2x-8
4. add 8 to both sides
2+8=2x
5. simplify 2+8 to 10
10=2x
6. divide both sides by 2
10/2=x
7. simplify 10/2 to 5
5=x
8. switch sides
x=5
1. simplify x-4x to -3x
-8-x=-3x
2. add x to both sides
-8=-3x+x
3. simplify -3x+x to -2x
-8=-2x
4. divide both sides by -2
-8/-2=x
5. two negatives make a positive
8/2=x
6. simplify 8/2 to 4
4=x
7. switch sides
x=4
hope this helps
Equation:
Time*speed= distance
1.7(time)*22.4(speed)=38.08meter(distance)