Solve a system of linear equations using elimination method. Explain why the initial system A and the intermediate system B have the same solution set. A:35x+5y=11,75x−2y=1B:5x+15y=33,5x−14y=7
1a) Solve 2x−1=8. 1b) Solve 32x=243. 2) Show f(x+3)=8f(x) for f(x)=2x. 3) Find f(4) and domain of g(x)=log3(x2−4x+3). 4) Find inverse of f(x)=e3x−1. 5) Find g(x) s.t. (f∘g)(x)=(g∘f)(x)=x for f(x)=ex. 6) Convert angles a) 315∘ b) −40∘ c) 330∘ to radians. 7) Sketch f(x)=x2−4x3−5x2+6x.
Write a system of equations to solve for the number of scarves each woman will complete and the number of days it will take. Nora:10+4x=y, Danielle:5x=y, where x is the number of days and y is the number of scarves completed by each woman.
Find the probability that a randomly chosen 10-year-old in the US has height between 39.9 and 46.4 inches, given heights are normally distributed with mean 55.7 inches and standard deviation 9 inches. Round final answer to 3 decimal places.
Around what percentage of adults in the USA have stage 2 high blood pressure (SBP≥160) given that SBP is normally distributed with μ=122 and σ=16? Round to two decimal places.
A piggy bank has 91 coins of nickels, dimes, and quarters. There are twice as many quarters as dimes, and half as many nickels as dimes. Find the total value in the piggy bank.
A girl swims across a river flowing at 3m/s. She swims at 9m/s relative to water. What angle θ (in degrees) should she swim to reach the opposite point?