If she has 6 yards and each pillow required 1 yard she can make 6 pillows
I think 1 sorry if it is wrong
For the answer to the question above, I'll provide a solution for my answer below.
x^4 - 41x^2 = - 400
<span>=> x^4 - 41x^2 + 400 = 0 </span>
<span>=> x^2 = (1/2) [41 ±√(1681 - 100)] </span>
<span>=> x^2 = (1/2) (41 ± 9) </span>
<span>=> x^2 = 16 or 25
</span>
So, therefore, the answers for your problem are
<span>=> x = ± 4 or ± 5.
I hope my answer helped you. </span>
12 dogs to 92 cats.
12/92
Both 12 and 92 are divisible by 4.
12/4=3
92/4=23
Simplified ratio: 3/23
There are 3 dogs for every 23 cats.
x²-4x-5=0
The given equation is quadratic
So we can perform prime factorisation of it.
factors of -5, that add up to give -4 are -5 and 1
therefore replacing -4x by -5x+x
x²-5x+x-5=0
performing factoring by grouping,
(x²-5x)+(x-5)=0
x(x-5)+(x-5)=0
(x+1)(x-5)=0
x+1=0 and x-5=0
Answer is x=-1 and x=5