🧮 algebra

1. **State the problem:** We need to compare each complex fraction given in items A-F to 1 and determine which are equal to $\frac{1}{2}$ mile per hour. 2. **Recall the rule for di

1. **State the problem:** Find the point of intersection of the two lines given by the equations: $$y = -10x - 3$$

1. **Problem Statement:** Find the discriminant of each quadratic equation and determine the number and type of solutions. 2. **Discriminant Formula:** The discriminant $\Delta$ of

1. **State the problem:** Determine if the given mapping from Set A to Set B represents a function. 2. **Recall the definition of a function:** A function is a relation where each

1. The problem asks us to determine if the given mapping from Set A to Set B represents a function. 2. A function is a relation where each element in the domain (Set A) maps to exa

1. The problem asks whether the given mapping diagram represents a function. 2. A function from set A to set B assigns exactly one element in B to each element in A.

1. **State the problem:** Determine if the given mapping from Set A to Set B represents a function. 2. **Recall the definition of a function:** A function is a relation where each

1. The problem asks us to determine if the given mapping from Set A to Set B represents a function. 2. A function is defined as a relation where each input (element in Set A) maps

1. The problem asks us to determine if the given mapping from Set A to Set B represents a function. 2. A function is defined as a relation where each input (element in Set A) maps

1. **State the problem:** We are given the function $$r(x) = -\frac{2}{3}x + 4$$ and need to find the values of $$r(-6)$$ and $$r\left(\frac{1}{2}\right)$$. 2. **Recall the formula

1. The problem asks to solve the second equation from the provided photo, but since the photo is not available, I cannot see the equation. 2. Please provide the second equation exp

1. The problem asks to classify the function family for the equation $y = 3^{4x}$. 2. This is an exponential function because the variable $x$ is in the exponent.

1. **State the problem:** We start with 550 bacteria that double every 30 hours. We want to find the time $t$ when the number of bacteria reaches 810. 2. **Formula used:** The grow

1. **State the problem:** Solve for $x$ in the equation $$-2 \log_4(x) - 10 = -16.$$\n\n2. **Isolate the logarithmic term:** Add 10 to both sides to get $$-2 \log_4(x) = -16 + 10 =

1. **State the problem:** Lin had 90 flyers. She gave 12 flyers to each of three volunteers, then divided the remaining flyers equally among the three volunteers. We need to identi

1. **State the problem:** Mike biked 5 miles on Tuesday, 3 miles on Wednesday, and twice as many miles on Saturday as Wednesday. He hopes to bike a total of 25 miles for the week.

1. **State the problem:** Solve the quadratic equation $x^2 + 6x - 5 = 0$ for $x$. 2. **Formula used:** The quadratic formula is used to solve equations of the form $ax^2 + bx + c

1. **State the problem:** The price of a train ticket increases from 754 to 799.24. We need to find the percentage increase. 2. **Formula:** The percentage increase is given by

1. **State the problem:** We need to find the percentage increase when the price of a flat rises from 112588 to 150867.92. 2. **Formula for percentage increase:**

1. **Stating the problem:** We have a circle divided into five segments with numbers 5, 10, ?, 50, and 122. We need to find the missing number represented by "?". 2. **Analyzing th

1. The problem is to find the value of 8 squared. 2. The formula for squaring a number is $a^2 = a \times a$.