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Katen [24]
4 years ago
8

What is c in (c+3)-2c-(1-3c)=2

Mathematics
1 answer:
erica [24]4 years ago
7 0
<span>Simplifying (c + 3) + -2c + -1(1 + -3c) = 2 Reorder the terms: (3 + c) + -2c + -1(1 + -3c) = 2 Remove parenthesis around (3 + c) 3 + c + -2c + -1(1 + -3c) = 2 3 + c + -2c + (1 * -1 + -3c * -1) = 2 3 + c + -2c + (-1 + 3c) = 2 Reorder the terms: 3 + -1 + c + -2c + 3c = 2 Combine like terms: 3 + -1 = 2 2 + c + -2c + 3c = 2 Combine like terms: c + -2c = -1c 2 + -1c + 3c = 2 Combine like terms: -1c + 3c = 2c 2 + 2c = 2 Add '-2' to each side of the equation. 2 + -2 + 2c = 2 + -2 Combine like terms: 2 + -2 = 0 0 + 2c = 2 + -2 2c = 2 + -2 Combine like terms: 2 + -2 = 0 2c = 0 Solving 2c = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Divide each side by '2'. c = 0 Simplifying answer c = 0</span>
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How do you solve (7^-1)^-1 and 5^2 * 5^4 * 5^-3
Katyanochek1 [597]

Answer:

Step-by-step explanation:

exponents raised to a - power  is an inverse function probably not the right word

       a^-b    =  1/(a^b)     example       4^-2   = 1/(4^2)     =  1/16

so   (7^-1)^-1  is a double inverse which is back to the original number  7

      inverted 7 twice

      (7^-1)^-1     = (1/7)^-1     =  1/(1/7)     =   7     trust me or use your calculator

since the coeffients are the same  just add the powers...  some exponent rule

     5^2 * 5^4 * 5^-3   = 5^(2+4-3)   = 5³

here is it written out

5^2 * 5^4 * 5^-3    = 5²  ×   5^4   ×  5^-3    =   (5×5) × (5×5×5×5)  × (1/5×1/5×1/5)

    5×5 × 5× (5×5×5  × 1/5×1/5×1/5)           (5×5×5  × 1/5×1/5×1/5)  = 1

    5×5×5    = 5³

   so

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Answer:

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Step-by-step explanation:

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3 years ago
One factor of f (x ) = 5 x cubed + 5 x squared minus 170 x + 280 is (x + 7). What are all the roots of the function? Use the Rem
PilotLPTM [1.2K]

The roots of the function f(x) = 5x³ + 5x² - 170x + 280 are given by x = 4, x = 2 or x = -7

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more numbers and variables.

Given that x + 7 is the root of 5x³ + 5x² - 170x + 280, hence:

(5x³ + 5x² - 170x + 280) / (x + 7) = 5x² - 30x - 40

Hence:

(5x³ + 5x² - 170x + 280) = (x + 7)(5x² - 30x - 40)

= 5(x² - 6x - 8)(x + 7)

= 5(x - 4)(x - 2)(x + 7)

The roots are at:

0 = 5(x - 4)(x - 2)(x + 7)

x = 4, x = 2 or x = -7

The roots of 5x³ + 5x² - 170x + 280 are x = 4, x = 2 or x = -7

Find out more on equation at: brainly.com/question/1214333

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