Questions in mathematics

Questions in mathematics

📝 Answered - Roxanne graphed this system of equations to find the solution. [tex]y=\frac{2}{3} x-5[/tex] [tex]y=-2 x+3[/tex] She determined that the solution is (-3,-3). Is she correct? If not, explain why. A. Yes, she is correct. B. No. She switched the [tex]x[/tex] and [tex]y[/tex] values of the intersection point when writing the solution. C. No. She used the wrong [tex]y[/tex]-intercepts when graphing the equations. D. No. She used the wrong slopes when graphing the equations.

📝 Answered - At the start of the week, Crystal's bank account had a balance of $280. Each day from Monday to Friday, she used her debit card to pay $5 for parking. She wrote a check for $42 and made two deposits of $75 each. She also withdrew $200 in cash at an ATM. Which of the following expressions can be used to find the balance in Crystal's account? Select all that apply. $280+5(5)+(-42)+2(-75)+(-200)$ $280+5(-5)+(-42)+2(75)+(-200)$ $280+5(-5)-42+2(75)-200$ $280+5(-5)-42+2(-75)-200

📝 Answered - $6^2 Simplify $\left(2^{-6}\right)(5)\left(2^3 \cdot 5\right)^2$.

📝 Answered - Using the substitution method, what is the solution to the following system of equations? [tex]4 x-y=4[/tex] [tex]6 x+2 y=-1[/tex] A. [tex](\frac{1}{2}, 2)[/tex] B. [tex](\frac{1}{2},-2)[/tex] C. [tex](2 \frac{1}{2})[/tex] D. [tex](-2, \frac{1}{2})[/tex]

📝 Answered - Find the product and enter your answer in the space provided. $7.3 \times 3.1=?$

📝 Answered - Evaluate the function for the given value. [tex] \begin{array}{c} y=20 \cdot\left(\frac{1}{2}\right)^x \text { for } x=1 \\ y=[?] \end{array} [/tex]

📝 Answered - Furniture rental costs 10% of the value of the furniture per month and is subject to 8.25% sales tax. Calculate the total cost to rent the equipment shown in the table for 3 months. Furniture Rental | Item | Value, per piece | | ------------------ | ---------------- | | Sofa (1) | $2,000 | | Office Chair (6) | $120 | | Conference Table (1) | $2,000 | $[?] Round to the nearest cent.

📝 Answered - Check all of the functions that are odd. f(x)=x^3-x^2 f(x)=x^5-3 x^3+2 x f(x)=4 x+9 f(x)=\frac{1}{x}

📝 Answered - Find the equilibrium quantity and equilibrium price for the commodity whose supply and demand functions are given. Supply: [tex]p=q^2+30 q[/tex] Demand: [tex]p=-2 q^2+10 q+12,000[/tex] (On this one, just give me the EQUILIBRIUM QUANTITY.)

📝 Answered - Solve for $x$. $\begin{array}{l} \sqrt[5]{7 x-4}=1 \\ x=\square \end{array}$