Answer:
Ted is correct. Maggie made mistakes while trying to isolate x for both equations.
Step-by-step explanation:
For 3x-2=0, in order to move -2 to the left side, Maggie had to add 2 on both sides because -2+2=0. The same problem is seen for x+5=0. Maggie had to subtract 5 on both sides because +5-5=0
Answer:
3 values
Step-by-step explanation:
2x +8 <22 and 3x >9
Solve the two inequalities separately and then put them back together
2x +8 <22
Subtract 8 from each side
2x +8-8 <22 -8
2x < 14
Divide by 2
2x/2 < 14/2
x < 7
Then solve the second inequality
3x>9
Divide by 3
3x/3>9/3
x >3
Putting them back together
x>3 and x < 7
Since it has to be an integer
4,5,6 are possible choices
3 values
Let
x---------> <span>quantity (ton) of vegetables sold the first day
</span>y---------> quantity (ton) of vegetables sold the second day
z---------> quantity (ton) of vegetables sold the third day
we know that
x=y-3---------> equation 1
z=(5/9)*(x+y)------> equation 2
x+y+z=98-----> equation 3
substitute equation 2 in equation 3
x+y+[(5/9)*(x+y)]=98----> multiply by 9----> 9x+9y+5x+5y=882
14x+14y=882-----> equation 4
to resolve the equations system formed by
x=y-3
14x+14y=882
using a graph tool
see the attached figure
the solution is
x=30
y=33
x+y+z=98----> z=98-(x+y)----> z=98-63---> 35
the answer is
vegetables sold the first day----> 30 tonvegetables sold the second day----> 33 tonvegetables sold the third day------> 35 ton
Answer:
x=-3
Step-by-step explanation:
This is a parabola which looks like an inverted U. Its will have a maximum value when t = 7 as we see from the vertex form below:-
- t^2 + 14t - 40
= - ( t - 7)^2 + 49 - 40
= -(t - 7)^2 + 9
There is an axis of symmetry at x = 7.
so a is true since 7 is the maximum value of the function and its less at t = 6.
c is also true because of the symmetry about t = 7