Sorry I spent a while thinking of this but I can’t get my finger on it
1,680 divided by 400 = 4.2
So we know that Xian has done 4.2 laps.
4.2 divided by 14 = 0.3
0.3 x 100 = 30%
Therefore, Xian has finished 30% of the run
Answer:
c=2
Step-by-step explanation:
All polynomials are continuous and differentiable on the set of real numbers.
So we just need to confirm on the given interval that f(1)=f(3).
f(1)=1-12(1)+3(1)^2
f(1)=1-12+3
f(1)=-8
f(3)=1-12(3)+3(3)^2
f(3)=1-36+27
f(3)=-8
So this means there is c in (1,3) such that f'(c)=0.
To solve that equation we must differentiate.
f(x)=1-12x+3x^2
f'(x)=0-12+6x
f'(x)=-12+6x
Remember we need yo solve f'(c)=0 for c.
So we need to solve -12+6c=0.
-12+6c=0
Add 12 on both sides:
6c=12
Divide both sides by 6:
c=2
Answer:
Option B
40x + 50y = 130
5x - 4y = 16
Option C
20x + 25y = 65
-20x + 16y = 64
Step-by-step explanation:
we have
----> equation a
----> equation b
we know that
If two system of equations are equivalent, then their solution is the same
Part 1)
step 1
Multiply by 10 equation a both sides

----> equation a'
step 2
Divide by 2 equation b both sides

----> equation b'
so
The system of equations a and b and the system of equations a' and b' are equivalent
therefore
The system of equations a' and b' have the same solution as the given system
Part 2)
step 1
Multiply by 5 equation a both sides

----> equation a'
step 2
Multiply by -2 equation b both sides

----> equation b'
so
The system of equations a and b and the system of equations a' and b' are equivalent
therefore
The system of equations a' and b' have the same solution as the given system