find two quadratic functions, one that opens upward and one that opens downward, whose graphs have the given x-intercepts. (There are many correct answers.) (4, 0), (8, 0)

Create the following matrix by using vector notation for creating vectors with constant spacing and/or the linspace command. Do not type individual elements explicitly.

$$A = \left[ \begin{array} { c c c c c c c } { 130 } & { 110 } & { 90 } & { 70 } & { 50 } & { 30 } & { 10 } \\ { 1 } & { 2.8333 } & { 4.6667 } & { 6.5 } & { 8.3333 } & { 10.1667 } & { 12 } \\ { 12 } & { 22 } & { 32 } & { 42 } & { 52 } & { 62 } & { 72 } \end{array} \right]$$

Simplify 0-(-6)

Match each term to its definition, as identified by its definition, as identified by its preceding letter code. activation energy; Calvin cycle; chemiosmosis; competitive inhibition; electron transport chain; induced fit model; Krebs cycle; light dependent reactions; non-competitive inhibition; oxidative phosphorylation. A The process by which the synthesis of ATP is coupled to electron transport and the movement of protons. B A type of enzyme inhibition where the substrate and inhibitor compete to bind in the active site. The currently accepted model for enzyme function. D A series of biochemical reactions, occurring in the stroma of chloroplasts, in which CO2 is incorporated into carbohydrates. Also called the light independent phase. E Also called the citric acid cycle. A metabolic pathway in which acetate (as acetyl-CoA) is consumed, NAD+ is reduced to NADH, and carbon dioxide is produced. F The energy required for a reactant to reach an unstable transition state in which it can react with another reactant. G The chain of enzyme-based redox reactions that passes electrons from high to low redox potentials. The energy released is used to pump protons across a membrane and produce ATP. H The process in cell respiration involving the oxidation of glucose by a series of redox reactions that provide the energy for the formation of ATP. I A type of enzyme inhibition where the inhibitor does not occupy the active site but binds to some other part of the enzyme. J The reactions in photosynthesis in which light energy is absorbed by the photosystems in the thylakoid membranes of the chloroplast, generating NADPH and ATP.

(a) add the polynomials and (b) subtract the second polynomial from the first.

$$u ^ { 2 } - 6 u + 7 , u ^ { 2 } + 6 u - 8$$

Find the geometric means to be inserted in the geometric sequence. Insert four geometric means between 3 and 96.

Use Equation 1 to find a power series representation for f(x)=ln(1-x). By putting x=1/2 in your result from part (a), express ln2 as the sum of an infinite series.

Prove the following result in three ways: If n is an odd integer, then n + 11 is even.

Convert each of the following to a numeral in the base indicated. 2921 to base 8

How does the approximate number of atoms in the air in your lungs compare with the number of breaths of air in the atmosphere of the whole world?

Sixty-four people show up for a volleyball tournament. Write and solve an equation to find how many 4-person teams can be formed.

Simplify:

$$( 3 r + 5 p - 4 ) + ( 2 r - 4 p + 4 )$$

Use a calculator to solve the inequality. Graph your solution. -3.9c ≤ 43.68

There are 8 finalists in a science fair competition. How many ways can they stand in a row on the stage?