1. carbohydrates and fats both
a. can be used as an energy source by organisms
b. can be bonded together to construct dna molecules
c. are made up of the glucose monomer
d. are monomers that can be made into large polymer chains

2. enzymes are proteins that speed up reactions by (2 points)
a. providing an additional energy source
b. supplying additional molecules for the reaction
c. removing inhibitors that slow down reactions
d. lowering the amount of energy required

3.

1. Carbohydrates and fats both - can be used as an energy source by organisms.

Carbohydrates provides quick energy while fats are stored energy. If there is no sufficient carbohydrates to provide energy, then the stored fats come to use.

2. Enzymes are proteins that speed up reactions by - Lowering the amount of energy required.

Enzymes are proteins that speed up reactions by reducing the activation energy needed to get them to work. They play a vital role in bodily functions like digestion.

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.

(b) 240

step-by-step explanation:

first, we use the pythagorean formula using the given side lengths to find x. then we use x to find the side lengths. then we add the side lengths to find the perimeter.

pythagorean theorem formula:

a^2 + b^2 = c^2

(x - 20)^2 + (x - 40)^2 = x^2

x^2 - 40x + 400 + x^2 - 80x + 1600 = x^2

x^2 -120x + 2000 = 0

(x - 100)(x - 20) = 0

x - 100 = 0 or x - 20 = 0

x = 100 or x = 20

we see that the solution x = 20 must be discarded because it will give a negative side length and a side length of 0. the only valid solution is x = 100.

perimeter = sum of the lengths of the sides

perimeter = x + x - 20 + x - 40

perimeter = 3x - 60

replace x with 100.

perimeter = 3(100) - 60

perimeter = 300 - 60

perimeter = 240