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Home Question Bank Math Archive 2024 December 03

Math Questions from Dec 03,2024

Browse the Math Q&A Archive for Dec 03,2024, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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4. Mr Preston has 2 math classes Class one has 27 students and class two has 26 students If each student answered 18 test questions, how many questions does Mr. Preston have to grade in all? During Month 3 , the class collected 1,211 more pennies than they did during Month 2 . Find the total number of pennies collected in four months. \( g(x)=\left\{\begin{array}{ccc}x^{3}-2, & -2 \leq x<0 & {[-2,0)} \\ -2, & x=0 & \\ 4 x-2, & 0<x \leq 1 & (0,1] \\ x^{2}+2, & 1<x<3 & (1,3) \\ 11, & x=3 & \{3\} \\ 2 x+5, & x>3 & (3, \infty)\end{array}\right. \) \( i g(x) \) ls continuma in \( x=0 \) A plumber charges a customer a one-time service fee of \( \$ 79, \$ 62 \) per hour for labor, and a surcharge of \( \$ 15 \) per hour doe to the call being an emergence White an expression to represent the total charges for the plumber two different ways. Let \( h \) represent the number of hours the job takes. Enter the correct answers in the boxes. w) Find the least common multiple (LCM) of 6 and 8 . List the multiples of 6 between 6 and 54 in order from least to greatest. Multiples of \( 6: 6, \square \), ? \( , 24, \square \) ? ? \( , 42, \square, 54 \) Un nouveau produit est mis sur le marché, Aprés une enquéte auprès des consommateurs, on a pu modéliser la demande par la fonction \( g \) définie sur l'intervalie \( [0 ; 30] \) par \( g(x)=\frac{90}{x+6} \) où \( x \) est la quantité de produit (en milliers d'unités) que la clientèle est disposée à acheter pour le prix de vente \( g(x) \) (en centaines d'euros). 1. a. Calculer la dérivée de la fonction \( g \). b. Dresser le tableau de variations de \( g \) sur \( [0 ; 30] \). 2. Montrer que, pour vendre entre 3000 et 9000 de ces produits, il suffit de le proposer à un prix compris entre 600 et \( 1000 € \). a) \( \left\{\begin{array}{c}x+y+w=10 \\ 2 x-2 y+w=4 \\ 3 x-y+w=3\end{array}\right. \) What is this problem asking you to find? \( \sqrt[3]{8}= \) ? A. The eighth root of 3 . B. 8 divided by 3 . C. The cube root of 8 . 3. Add and simplify the result. \( 3 \sqrt{8} 0+2 \sqrt{75} \) a) Expliquer pourquoi pour \( u \in[0,1[ \), on a \[ u-\frac{u^{2}}{2} \leq \ln (1+u) \leq u-\frac{u^{2}}{2}+\frac{u^{3}}{3} \] b) Expliquer pourquoi pour \( u>0 \) on a \[ 1+u \leq \exp (u) \leq 1+u \exp (u) \]
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