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denis23 [38]
3 years ago
14

Write this trinomial in factored form. 3b^2+b-14​

Mathematics
1 answer:
Makovka662 [10]3 years ago
4 0

Answer:

(b - 2)(3b + 7)

Step-by-step explanation:

Consider the factors of the product of the coefficient of the b² term and the constant term which sum to give the coefficient of the b- term

product = 3 × - 14 = - 42 and sum = + 1

The factors are - 6 and + 7

Use these factors to split the b- term

3b² - 6b + 7b - 14 ( factor the first/second and third/fourth terms )

= 3b(b - 2) + 7(b - 2) ← factor out (b - 2) from each term

= (b - 2)(3b + 7) ← in factored form

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Which of the following equations would not have a solution that is the same as the solution to the system. shown below?
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Points A(-2, 4), B(1, 3), C(4, -1) and D form a parallelogram. What are the coordinates of D?
Rudik [331]
Let point A(-2,4)  = A (X1,Y1)
      point B( 1,3  )= B (X2,Y2)
      point C(4,-1)  = C (X3,Y3)
and point D(?, ?) = D (X4,Y4)  We have to find this point

To find X4 we have to use the formula:
X2-X1=X3-X4

Now just plug in the numbers that correspond to the letters provided:
(1)-(-2)=(4)-(X4) ----> we don't know what X4 is yet, so we have to solve for it!
1+2=4-X4
3=4-X4
3-4=-X4
-1=-X4  divide both sides by -1
X4=1

Now we have to find Y4 using this formula:
Y2-Y1=Y3-Y4

Therefore,
(3)-(4)=(-1)-(Y4)
-1=-1-Y4
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8 0
2 years ago
Read 2 more answers
Solve for x<br> 35+.8x=43-7x
Vinvika [58]

Answer:

x = 1.02564

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

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

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtraction Property of Equality<u> </u>

<u>Algebra I</u>

  • Terms/Coefficients

Step-by-step explanation:

<u>Step 1: Define</u>

35 + 0.8x = 43 - 7x

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. [Addition Property of Equality] Add 7x on both sides:                                 35 + 7.8x = 43
  2. [Subtraction Property of Equality] Subtract 35 on both sides:                    7.8x = 8
  3. [Division Property of Equality] Divide 7.8 on both sides:                             x = 1.02564
7 0
3 years ago
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