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Which binomials are factors of the polynomial shown?  The x-axis spans from negative 4 to beyond 2, and the y-axis spans from below negative 5 to 10. The x-axis has a scale of 2 in increments of 0.5 and the y-axis has a scale of 5 in increments of 1. The green polynomial function has a local minimum at (negative 2, 0) and a local maximum at (0, 8). The function decreases from the top left of the second quadrant, reaching its minimum, then increases to its maximum on the y-axis before decreasing again, passing through the point (1, 0) and continuing into the fourth quadrant. The curve continues to extend out of view in both directions.

Divide the rational expressions: \[\frac{x^2 – 4x}{x^2 – 9} \div \frac{x – 2}{x – 3}\]

pH questions. (A)  If the [H+] of a solution is 1.0 x 10-8 M, the pH [pH1] (B)  If the [OH-] is 1.0 x 10-4 M, what is the concentration of H+ [H] (C)  If the [H+] of a solution is 2.3 x 10-6 M, the pH [pH2]

pH questions. (A)  If the [H+] of a solution is 1.0 x 10-5 M, the pH [pH1] (B)  If the [OH-] is 1.0 x 10-11 M, what is the concentration of H+ [H] (C)  If the [H+] of a solution is 6.7 x 10-7 M, the pH [pH2]

Find the domain of the composite function (f∘g)(x). f(x) = 4x + 4 g(x) =

Give the domain and range of the relation. {(10, -3), (5, -7), (-6, 9), (-6, -4)}

Flower Pots, Inc. reports the following information for the year ended December 31, 2026: Net income $2,500,000 Other comprehensive gain 350,000 Flower Pots also reported beginning balances in their Retained Earnings and Accumulated Other Comprehensive Income of $27,500,000 and $6,400,000, respectively, as of January 1, 2026. What amount will Flower Pots report as Accumulated Other Comprehensive Income on their December 31, 2026 balance sheet?

Below is information from Roma, Inc.’s balance sheet for 2026.  Using the information below, calculate Roma, Inc.’s working capital. Goodwill $210,000 A/D – equipment $467,000 Long-term Equity investments        375,000 Inventory     427,000 Long-term debt (due 2026)        500,000 Accrued liabilities        40,000 Cash          65,000 Income taxes payable     110,800 Current maturities of long-term debt        51,000 Common stock     250,000 Notes receivable (current)        175,000 Prepaid expenses        68,760 Accounts payable        337,000 Equipment  1,386,000

EN ROUTE It is 0330 and you are staffing a 2-paramedic transporting ambulance. Your unit is dispatched for a 71-year-old female with shortness of breath. It is a rainy spring night and the temperature is 65oF (18oC). The location is roughly 10 minutes from the station. Hospital 1 is a cardiac catheterization center, and Hospital 2 is a level 2 trauma center both about 20 minutes away. Dispatch notes the patient woke from sleep with severe shortness of breath. They note that the patient’s husband is with the patient. ON SCENE The husband leads you into the bedroom where you find the patient (60kg) sitting on the edge of the bed leaning forward with moderate to severe respiratory distress.  She makes eye contact when crew arrives but appears tired. The husband states she woke suddenly with severe shortness of breath. The patient has a history of coronary artery disease, diabetes, COPD, and had a myocardial infarction 2 months ago. The patient has no allergies to medications. The patient’s skin is pale and diaphoretic. There are no signs of trauma, and the patient obeys motor commands but can only speak 2-3 words at a time. Eyes are open, pupils are 5mm and reactive to light. The vital signs are BP 172/110, P 88, R 26, SpO2 90% on room air, and T 98oF (37oC), The blood glucose is 100.

EN ROUTE It is 0330 and you are staffing a 2-paramedic transporting ambulance. Your unit is dispatched for a 71-year-old female with shortness of breath. It is a rainy spring night and the temperature is 65oF (18oC). The location is roughly 10 minutes from the station. Hospital 1 is a cardiac catheterization center, and Hospital 2 is a level 2 trauma center both about 20 minutes away. Dispatch notes the patient woke from sleep with severe shortness of breath. They note that the patient’s husband is with the patient. ON SCENE The husband leads you into the bedroom where you find the patient (60kg) sitting on the edge of the bed leaning forward with moderate to severe respiratory distress.  She makes eye contact when crew arrives but appears tired. The husband states she woke suddenly with severe shortness of breath. The patient has a history of coronary artery disease, diabetes, COPD, and had a myocardial infarction 2 months ago. The patient has no allergies to medications. The patient’s skin is pale and diaphoretic. There are no signs of trauma, and the patient obeys motor commands but can only speak 2-3 words at a time. Eyes are open, pupils are 5mm and reactive to light. The vital signs are BP 172/110, P 88, R 26, SpO2 90% on room air, and T 98oF (37oC), The blood glucose is 100. POST SCENE The patient is packaged onto the stretcher in a high fowlers position and transport is initiated to a hospital with cardiac capabilities.  Despite early CPAP therapy, the patient remains dyspneic and anxious.