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Use the definition of differentiation to differentiate 1. f(x)=2x+3 2. f(x)=2x^2+2x-1

Suppose x is an integer. Consider the proposition, “x is an even integer if and only if 5x+3 is an odd integer.” Express this proposition as a conjunction of two distinct conditional statements.

Solve -2y + 6y - x - 4 = 0 for y

Guido has a quarter of Andrés's money and three times as much as David's money. How much money does each have if the sum of all the amounts is $48,000?

3a2-ab if a =-4 and b =3

1/12of 1=

Let G be group If H is a subgroup of G, show that for all g∈G the set g*H*g^(-1)={g*H*g^(-1) ├|h∈H┤} is a subgroup of G Show that if H is finite, then g*H*g^(-1) is also finite and has the same number of elements as H.

experiment (S1): ideal environment In the first test, a culture medium for bacteria was generated where the ideal temperature for their reproduction cycle was maintained. This allowed us to accurately predict the quantity of bacteria after having gone through a division process, through an expotential model defined as follows: S1 (x) = 4 * C ^ 0.57x + 3 Where x corresponds to the hours elapsed since the start of the experiment and S1 the number of bacteria at this moment. What was the initial amount of bacteria in the experiment?

A washing machine that cost R$ 1,324.00 was sold with successive increases of 30% + 20% + 10%. What is the total percentage increase?

Ana and Aline have a combined weight of 78 kg. If Ana's body mass is 42,200, what will be Aline's body mass in SI, CGS and FPS?