GuideFoot - Learn Together, Grow Smarter. Logo

Questions in mathematics

📝 Answered - For each of the following, define a variable for the unknown, write and solve an equation, then answer the question that was asked. ONLY ONE VARIABLE SHOULD BE USED FOR EACH. a. Three times a number decreased by four is equal to twenty-five.

📝 Answered - Tell what property allows you to compute [tex]$\frac{1}{3} \times\left(6 \times \frac{4}{3}\right)$[/tex] as [tex]$\left(\frac{1}{3} \times 6\right) \times \frac{4}{3}$[/tex].

📝 Answered - Sarah transferred $450.00 from her savings account to her checking account. She'll use the check register to record her transaction. What will be her new balance? | Check number | Date | Description of Transaction | (-) Debit | | (+) Deposits | Balance | | :----------- | :--- | :------------------------- | :-------- | :-: | :----------- | :------ | | | | Beginning Balance | | | | 452.21 | | 258 | 4/1 | Phone Bill | 142.36 | | | 309.85 | | 259 | 4/7 | Groceries | 59.80 | | | 250.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |

📝 Answered - Solve the following inequality and graph the solution. $6 x+4 \leq 34$

📝 Answered - Let [tex]\cos x=\frac{1}{3}[/tex]. Find all possible values of [tex]\frac{\sec x-\tan x}{\sin x}[/tex]

📝 Answered - Solve the equation $|2x + 4| = 12$. The solutions are: $\square$

📝 Answered - Find the instantaneous rate of change of the function [tex]f(x)=\sqrt{7 x}[/tex] when [tex]x=7[/tex].

📝 Answered - Which equation represents a circle with a center at $(-4,9)$ and a diameter of 10 units? A. $(x-9)^2+(y+4)^2=25$ B. $(x+4)^2+(y-9)^2=25$ C. $(x-9)^2+(y+4)^2=100$ D. $(x+4)^2+(y-9)^2=100

📝 Answered - Square the first term minus square the second term. [tex](3 x)^2=9 x^2(4)^2=16[/tex] [tex](3 x+4)(3 x-4)=9 x^2-16[/tex] 1. [tex](x+2)(x-2) \quad x^2-4[/tex] 2. [tex](x+6)(x-6) \quad x^2-36[/tex] 3. [tex](5 x+3)(5 x-3) 25 x^2-9[/tex] 4. [tex](3 x+7)(3 x-7)-9 x^2-49[/tex] 5. [tex](2 x+4)(2 x-4) 4 x^2-16[/tex]

📝 Answered - Find the sum: [tex]$\frac{1}{1 \times 2}+\frac{1}{2 \times 3}+\ldots+\frac{1}{110 \times 111}=\frac{m}{n}$[/tex] Where [tex]$\operatorname{gcd}(m, n)=1$[/tex] What is [tex]$m+n$[/tex]? A) 221 B) 207 C) 244 D) 229 E) 208