Alright so the first one involves in shading.
You can see that Jack and Renee have two bars with rectangles inside the bar.
Jack took 3/4 hours or in words, three out of four. So in Jack's bar, shade 3 boxes and leave one unshaded.
Renee took 2/3 or two out of three. Shade 2 boxes in Renee's bar and see the difference.
As you can see, Jack has more shade length than Renee and that could only mean one thing:
Jack took longer to fix the tire than Renee.
The symbol that represents this is 3/4 > 2/3
The second activity has the same case.
Water: 3/5 means that you have to shade three boxes and leave the other two unshaded.
Sports Drink: 4/6 means that you have to shade four boxes and leave the other two unshaded.
As you can see again, there is more sports drink than the water since the shade length is longer in the sports drink than on the water.
This meant that she poured in more sports drink than water.
The third activity is just as simple, you just need to visually make up your own sections. Do the shading then see which one is bigger then just input the sign (hint: the first one is < and the second one is >)
cheers
We cannot agree with Danika. Why? Well, The reasoning is given as follows:
Two functions are inverses of each other if and only if it is true that the composition function is given by:
Everything is ok up to this point, right?. But let's prove that this is not fulfilled for these functions, then:
<span>
As you can see we did not obtain the function that matches the definition of </span>inverse functions. For that reason <em>we can't agree with Danika</em>.
L=2W+2
W=(L-2)/2
A=LW, using W from above makes this
A=L(L-2)/2
2A=L^2-2L
L^2-2L-2A=0, given A=84
L^2-2L-168=0
(L-14)(L+12)=0, since L>0
L=14
The length of the rug is 14 ft
(W=(L-2)/2=6 ft)
Answer:
Multiply the first bracket by 3
Multiply the second bracket by -2
3x+3=-2x+2-4
3x+2x+3=-2x-2 negative (-) number and positive number (+)= negative number
Just rearranging
5x+3=-2
5x+3-3=-2-3
5x=-5
Dividing by 5
5x/5=-5/5
x=-1
Check answer by using substitution method
3(-1+1)=-2(-1-1)-4
0=-2(-2)-4 negative number and negative number = positive number
0=4-4
0=0
Answer is x=-1
