Answer:
the x intercept is 2
Step-by-step explanation:
I just went over this unit
10 <0.25 (x + 1) <11
We must solve two inequalities in this case.
Inequality 1:
10 <0.25 (x + 1)
10 / 0.25 <x + 1
40 <x + 1
40-1 <x
39 <x
Inequality 2:
0.25 (x + 1) <11
(x + 1) <11 / 0.25
(x + 1) <44
x <44-1
x <43
The final result is:
39 <x <43
Answer:
39 <x <43
Answer:
14.4 lb
Step-by-step explanation:
In a see-saw in equilibrium, the torque generated by one side needs to be the same generated in the other side. The torque is calculated by the product between the mass and the distance to the center of the see-saw.
The torque generated by the child is:
T1 = 60 * 3 = 180 lb*feet
So, the torque generated by the weight needs to be higher than T1 in order to lift the child.
The lowest mass is calculated when the mass is in the maximum distance, that is, 12.5 feet from the center.
So, we have that:
T2 = 180 = mass * 12.5
mass = 180/12.5 = 14.4 lb
So the lowest weight is 14.4 lb
The given set of equations:
y=-3x+1............(1)
y=2x-4 .............(2)
can be solved most conveniently by rewriting as
y =-3x+1 = 2x-4
We concentrate on the right equality, which is expressed in x only:
-3x+1 = 2x-4
Transpose and solve for x
1+4 = 2x+3x
5x=5
x=5/5=1
Substitute x=1 in the
first equation: y=-3(1)+1=-2
second equation: y=2*x-4=2(1)-4=-2
So the solution is x=1, y=-2, or (1,-2)
Answer:
true
Step-by-step explanation:
5(1+2x)= 5 +10x =10x + 5
