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ser-zykov [4K]
3 years ago
15

C(x-2)-5=b(x-3), solve for x

Mathematics
1 answer:
xeze [42]3 years ago
6 0

Answer:

x =  (2c - 3b + 5) / (c - b).

Step-by-step explanation:

c(x - 2) - 5 = b(x - 3)

cx - 2c - 5 = bx - 3b          Bring the terms in x to left side:-

cx - bx  - 2c - 5 = -3b        Bring  other terms to right side:-

cx - bx = 2c  - 3b  + 5

x(c - b) =  2c  - 3b  + 5         Divide both sides by c - b:-

x =  (2c - 3b + 5) / (c - b).

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What is 4 - 3x = 2 ( x - 3)?
Mkey [24]

Steps to solve:

4 - 3x = 2(x - 3)

~Distribute

4 - 3x = (2 * x) + (2 * -3)

~Simplify

4 - 3x = 2x - 6

~Subtract 4 to both sides

4 - 4 - 3x = 2x - 6 - 4

~Simplify

-3x = 2x - 10

~Subtract 2x to both sides

-3x - 2x = 2x - 2x - 10

~Siimplfy

-5x = -10

~Divide -5 to both sides

-5x/-5 = -10/-5

~Simplify

x = 2

Best of Luck!

4 0
3 years ago
The area of one fabric is 4.85 square what is the area of a quilt made with 10.2 fabric squares​
Sindrei [870]

10 x 10 = 2_{10}

since 1 square equals 4.85 sq inches we can multiply 4.85 with 100

4.85 x 100 = 485

so, your answer is <u>485 </u>

hope this helps!

5 0
4 years ago
What's 2x + 54. Just lmk whenever
Sophie [7]

Answer:

It's 27

Step-by-step explanation:

8 0
3 years ago
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An Arithmetic sentence is shown below 5,1,-3,-7. Which explict formula xan be used to determine the nth tern of the sequence.
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3 0
3 years ago
Write a polynomial function of least degree with the given zero. -1+ √ 2, √ 3
kirill115 [55]

Answer:

f(x) = x^{4} + 2x³ - 4x² - 6x + 3

Step-by-step explanation:

Note that radical zeros occur in conjugate pairs, thus

- 1 + \sqrt{2} is a zero then - 1 - \sqrt{2} is also a zero

\sqrt{3} is a zero then - \sqrt{3} is also a zero

Thus the corresponding factors are

(x - (- 1 + \sqrt{2}) ), (x - (- 1 - \sqrt{2}) ), (x - \sqrt{3}), (x - (- \sqrt{3})), that is

(x + 1 - \sqrt{2}), (x + 1 + \sqrt{2}), (x - \sqrt{3}), (x + \sqrt{3})

The polynomial is then the product of the roots

f(x) = (x + 1 - \sqrt{2})(x + 1 + \sqrt{2})(x - \sqrt{3})(x + \sqrt{3})

     = ((x + 1)² - (\sqrt{2})²)((x² - (\sqrt{3})²)

     = (x² + 2x + 1 - 2)(x² - 3)

     = (x² + 2x - 1)(x² - 3) ← distribute

     = x^{4} - 3x² + 2x³ - 6x - x² + 3

     = x^{4} + 2x³ - 4x² - 6x + 3

6 0
4 years ago
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