Answer:
f(x)= -1 -x
Step-by-step explanation:
-1 -1= 0
-2-1=1
-3-1=2
-4-1=3
<h3>1) <u>What is the solution for the system of equations</u></h3>
-2x+y=2...(i)
y=4x-1...(ii)
substitute y in (i)
-2x+(4x-1)=2
-2x+4x-1=2
-2x+4x=2+1
2x=3
2x/2=3/2
x=3/2
replacing x in (ii)
y=4(3/2)-1
y=6-1
y=5
solution=(3/2,5)
<h3 /><h3>2) <u>Solve the system of equations.</u></h3>
x-y+z=6 ...(i)
4y+1=z ...(ii)
3y=2z...(iii)
from(ii),
z=4y+1
substitute z in (iii)
3y=2(4y+1)
3y=8y+2
3y-8y=2
-5y=2
-5y/5=2/5
y=-2/5
substitute y in (ii)
z=4(-2/5)+1
z=-3/5
substitute z and y in (i)
x-y+z=6
x=6+y-z
x=6+(-2/5)-(-3/5)
x=31/5
solution=(31/5,-2/5,-3/5)
<h3>
3) <u>What is the solution for the system of equations</u></h3>
-4x+y=-2 ...(i)
y+5=-6x...(ii)
from (i),
y=-2+4x
substitute y in (ii)
(-2+4x)+5=-6x
-2+4x+5=-6x
-2+5=-6x-4x
3=-10x
3/-10=-10x/-10
x=-3/10
substitute x in;;y=-2+4x
y=-2+4(-3/10)
y=-2-6/5
y=-16/5
solution=(-3/10,-16/5)
I think the correct one is C. 130
Answer:
161 seniors
Step-by-step explanation:
According to the problem, given data are as follows:
Total number of sophomores = 300
Sophomores to junior ratio = 5:4
So, Number of Juniors = 300 × (4 ÷ 5)
= 240
Now, Juniors to senior ratio = 3:2
So, we can calculate the number of seniors by using following method:
Number of seniors = 240 × ( 2 ÷ 3)
= 240 × 0.67
= 160.8 or 161
Answer: option c is the correct answer.
Step-by-step explanation:
The given system of equations is expressed as
5x + 2y = - 38 - - - - - - - - - - -1
6x + 10y = - 19 - - - - - - - - - - - 2
We would eliminate x by multiplying equation 1 by 6 and equation 2 by 5. It becomes
30x + 12y = - 228
30x + 50y = - 95
Subtracting, it becomes
- 38y = - 133
Dividing the left hand side and the right hand side of the equation by - 38, it becomes
y = - 133/-38 = 3.5
Substituting y = 3.5 into equation 1, it becomes
5x + 2 × 3.5 = - 38
5x + 7 = - 38
5x = - 38 - 7 = - 45
Dividing the left hand side and the right hand side of the equation by 5, it becomes
x = - 45/5 = - 9