f(5) = -\frac143(125) + 33(25) - \frac2113(5) + 45 = -\frac17503 + 825 - \frac10553 + 45 - Imagemakers
Solving the Expression: f(5) = −14/3(125) + 33(25) − 211/3(5) + 45
Solving the Expression: f(5) = −14/3(125) + 33(25) − 211/3(5) + 45
Calculating complex algebraic expressions step-by-step can be challenging, but simplifying f(5) = −14/3(125) + 33(25) − 211/3(5) + 45 step by step not only reveals the correct value but also strengthens your understanding of arithmetic and algebra. In this article, we break down the expression f(5) together and solve it precisely.
Understanding the Context
Understanding the Expression
The function defined as
f(5) = −14/3(125) + 33(25) − 211/3(5) + 45
involves multiple multiplicative and additive terms. To evaluate this correctly, we follow proper order of operations (PEMDAS: Parentheses, Exponents, Multiplication/Division, Addition/Subtraction).
Step-by-Step Evaluation
Image Gallery
Key Insights
Step 1: Evaluate the multiplicative terms involving fractions.
First, compute each fraction multiplied by the numbers:
−14/3 × 125 = −(14 × 125)/3 = −1750/333 × 25 = 825−211/3 × 5 = −(211 × 5)/3 = −1055/3
So, the expression becomes:
f(5) = −1750/3 + 825 − 1055/3 + 45
🔗 Related Articles You Might Like:
📰 This Simple Mouse Adjustment Will Transform Your Gaming Like Never Before! 📰 How to Perfectly Set Your Mouse in Seconds and Boost Speed Instantly! 📰 Settimgs Revealed: The Shocking Truth Behind These Viral Pics No One Saw Coming! 📰 Urban League St Petersburg Florida 3553119 📰 Theaters In Pinellas Park Fl 2865093 📰 Bf6 Sniper Rifles 3425512 📰 Sofi Auto Loan 752742 📰 Yatzy Dice Game 719363 📰 How Fidelity Investments Mobile Deposit Transforms Check Handlingworth Every Click 9297029 📰 Total Area 24 2X32 2X 1400 3621386 📰 The Ultimate Play Date Movie That Kids Are Raving About 7440174 📰 Create Public Synonym In Oracle 📰 Sealed Portal Oblivion 📰 Finding My Windows Product Key 9217088 📰 Yapster Unleashed The Secret Tool Thats Taking Conversations To New Levels 9599856 📰 7 Curly Bang Hacks Thatll Transform Your Look Overnightsee How 8549448 📰 A Chemical Solution Is Made By Mixing 5 Liters Of Substance A With 15 Liters Of Substance B What Is The Ratio Of Substance A To The Total Solution 3225959 📰 Kia Shares Skyrocketdiscover The Shocking Trend Driving Investors Wild 2235819Final Thoughts
Step 2: Combine the fractional terms.
Since both −1750/3 and −1055/3 share the same denominator, add them:
−1750/3 − 1055/3 = (−1750 − 1055)/3 = −2805/3
Step 3: Combine constant terms.
825 + 45 = 870
Step 4: Rewrite the expression with combined terms:
f(5) = −2805/3 + 870