If an expression is not dependent on x, it simplified form must not contain x. To show that this is the case for (a) and (b) we need to simplify them and assess:

(a)

$(x-5)(x+8)-(x+4)(x-1)=\\=x^2-5x+8x-40-x^2-4x+x+4=-36$

Indeed, does not depend on x!

And (b)

$x^4-(x^2-1)(x^2+1)=x^4-x^4+x^2-x^2+1=1$

Again, does not depend on x.

8 0

3 years ago

Please help and show work<br>

Nimfa-mama [501]

Answer:

a ratio of cats to dogs is 5:3 so the total of that ratio is 8 so for every 8 animals there are 5 cats so 5/8*104=65

b. ratio of dogs to cats is 3:5 so 3 of every animal is a dog so 3/8*104 =39

and 39+65=104 as a final check = 104

this also proves that dogs are better than cats

Step-by-step explanation:

6 0

2 years ago

Stephanie collected maple syrup from some of her trees. From the first set of trees, she collected 2 gallon of syrup. The second

kiruha [24]

Answer:

Part A - 8

Part B - 7

Step-by-step explanation:

Part A

She collected 8 gallons of syrup in total. Two gallons from first tree, three gallons from second tree and three gallons from third tree.

Part B

She used seven gallon of syrup for cooking.

She is left with one gallon syrup only out of total eight gallon syrup

5 0

3 years ago