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NARA [144]
3 years ago
12

Solve the following: If 7a – 4b = 3, then b =

Mathematics
2 answers:
WITCHER [35]3 years ago
7 0

Answer:

D (7a-3)/4

Step-by-step explanation:

7a – 4b = 3

Subtract 7a from each side

7a-7a – 4b = 3-7a

-4b = 3 -7a

Divide by -4

-4b/-4 = (3-7a)/-4

b = (7a-3)/4

blsea [12.9K]3 years ago
4 0

Answer:

b = (7a - 3)/4

Step-by-step explanation:

7a - 4b = 3

=> -4b = 3 - 7a

=> b = (3 - 7a)/(-4)

=> b = -(3 - 7a)/4

=> b = (-3 + 7a)/4

=> b = (7a - 3)/4

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The table represents the start of the division -2x^3+11x^2-23x+20 of by x^2-3x+4 . Which terms belong in one of the shaded cells
Andrew [12]
By polynomial grid division, we start by the divisor x²-3x+4 placed on the row headings of the table and end with the quotient -2x + 5 on the column headings as given. We know that -2x³ must be in the top left which means that the first column entry is indeed -2x. So the row and column multiply to -2x³. We use this to fill in all of the first column, multiplying -2x by the terms of the row entries.
               -2x      5
      x²      -2x³
     -3x      6x²
      4       -8x
We now got 6x² though we want 11x². The next quadratic entry must then be 5x² so that the overall sum is 11x². Multiplying 5 by the terms of the row entries, we fill in all of the second column:
               -2x      5
      x²      -2x³     5x²
     -3x      6x²    -15x
      4       -8x      20

The bottom and final term is 20, which is our desired answer and we can read the quotient off the first row: 
     -2x³ +11x² - 23x + 20 / x² - 3x + 4 = -2x + 5
We have calculated for all the terms that belong in table, therefore, the terms 5x² and 6x² belong in the shaded cells.
4 0
3 years ago
Read 2 more answers
Determine the value of a if one solution to the quadratic equation is x equals 5 + 3/2 I
Sindrei [870]

The value of a is \frac{-9}{4}

Step-by-step explanation:

<u>1. Determine the other solution of x</u>

If one value is 5 + \frac{3}{2} then the other value is 5 - \frac{3}{2}

<u>2. Use reverse technique to find the equation</u>

(5 + \frac{3}{2}) (5 - \frac{3}{2}) = 0

25 - \frac{-15}{2} + \frac{15}{2} - \frac{9x^{2} }{4} = 0

- \frac{9x^{2} }{4} + 25 = 0

<u>3. The equation is</u> - \frac{9x^{2} }{4} + 25 = 0

<u>4. Find the value of a</u>

a is the number with the variable x^{2} therefore it is - \frac{9}{4}

Keyword: quadratic equation, solution

Learn more about quadratic equation at

  • brainly.com/question/4460262
  • brainly.com/question/1332667

#LearnwithBrainly

8 0
4 years ago
Simplify (-7b2)(-2b3)
Ivanshal [37]

Answer: 145

Step-by-step explanation:

(−72)(−23)

−72(−23)

1423

6 0
3 years ago
One year the price of wheat was $8.87 the next year the price was $9.60 route is the price per bushel of wheat for each year to
Nostrana [21]
  • <em>I think you mean this right Both are $10.00</em>
8 0
3 years ago
Imogen buys some sandwiches costing £3.50.
dezoksy [38]
£0.7
Explanation:
3.50 x 0.2 = 0.7
5 0
2 years ago
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