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find the product of (5t-3) and (3t +7) when t = 6

Sagot :

Space

Answer:

675

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Step-by-step explanation:

Step 1: Define

(5t - 3) · (3t + 7)

t = 6

Step 2: Evaluate

  1. Substitute in t:                    (5(6) - 3) · (3(6) + 7)
  2. (Parenthesis) Multiply:       (30 - 3) · (18 + 7)
  3. (Parenthesis) Subtract:      27 · (18 + 7)
  4. (Parenthesis) Add:             27 · 25
  5. Multiply:                              675

Answer:

(5t -3)(3t+7) (im multiplying them together, if that's not what the questions asking lmk. but anyway, put them next to eachother and then plug in 6 for t)

(5(6) -3)(3(6)+7) (multiply where possible)

(30 -3)(18+7) (use the distributive property/foil to multiply the two)

540 +210 -54 -21 (add the positive numbers and subtract the negative )

750 - 75 (subtract)

675 (the answer)

Step-by-step explanation:

I hope this helps :)