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Questions in mathematics

[Free] Write an equation in slope-intercept form for each table below. Show how you found the slope and y-intercept. Table (1): | x | 0 | 1 | 2 | 3 | 4 | |---|---|---|---|---|---| | y | 0 | 2.5 | 5 | 7.5 | 10 | Steps to find the slope (m) and y-intercept (b): 1. Calculate the slope (m) using two points from the table: \( m = \frac{y_2 - y_1}{x_2 - x_1} \) Let's use the points (0, 0) and (1, 2.5): \( m = \frac{2.5 - 0}{1 - 0} = 2.5 \) 2. Determine the y-intercept (b) by identifying the y-value when x = 0: The y-intercept is 0. Equation in slope-intercept form: \[ y = 2.5x + 0 \] Or simply: \[ y = 2.5x \]

[Free] What is the y-intercept of the equation \( y = 11(9^x) + 3 \), if any?

[Free] What are two multiplication digits that equal 3030?

[Free] Is 30 a prime number?

[Free] What does the scale factor between two similar figures tell you about the angles?

[Free] What is the greatest number of right angles a hexagon can have? Use a geoboard to help you find out. Show your work.

[Free] I need to find the slope, vertical intercept, and horizontal intercept of these 3 linear functions: 1. \( y = 5x - 15 \) 2. \( y = 7 - x \) 3. \( 4x = 2y = 12 \) (Note: This equation seems incorrect. Please clarify or correct it to make sense of the mathematical expression.)

[Free] I am a 3-digit number that is less than 500. My ones digit is twice the hundreds digit. The sum of the three digits is 14. What number am I?

[Free] The temperature on a summer day is 77 degrees Fahrenheit. The formula to convert temperature to degrees Celsius is [tex]\frac{5}{9}(F - 32)[/tex]. What is the corresponding temperature in degrees Celsius?

[Free] Sam jogs every 2 days. He does Pilates every 3 days. Suppose Sam jogs and does Pilates on October 1. What are the next 3 dates on which he will jog and do Pilates? Explain how you know.