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nadezda [96]
4 years ago
12

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

Mathematics
1 answer:
Vinil7 [7]4 years ago
8 0

Answer:

x = 17/3

Step-by-step explanation:

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

7x - 9 = 4x + 8

Add 9 to both sides:

7x - 9 + 9 = 4x + 8 + 9

Simplify:

7x = 4x + 17

Subtract 4x from both sides:

7x - 4x = 4x + 17 - 4x

Simplify:

3x = 17

Divide both sides by 3:

3x/3 = 17/3

x = 17/3

Hope this helps!!

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Change to Ax+By=C form. y=-5x+9
Reil [10]

The function is:

y=5x+9

Now to put in the form Ax+By=c we hace to let the number that don't have x ot y in the left side of the equation anthe the rest of the term in the right side of the equation:

-5x+y=9

where:

\begin{gathered} A=-5 \\ B=1 \\ C=9 \end{gathered}

6 0
2 years ago
Determine the positive number that must be added or subtracted to the expression to complete the square. x ^ 2 - 2x.
eimsori [14]

Answer:

1

Step-by-step explanation:

take the -2 and divide it by 2

that gives you -1

then square it

now its positive 1

formula is (b/2)^{2}

where b is the term next to the x

6 0
3 years ago
Simplify this algebraic expression.
Maru [420]

Answer:

D

Step-by-step explanation:

y -  \frac{3}{3}  + 12

y - 1 + 12

y + 11

4 0
3 years ago
Which of the following statements best describes the "grouping method" of factoring trinomials?
Masja [62]

Answer:

  • <em>B. The grouping method of factoring trinomials involves rewriting the bx term into the factors that fit the particular trinomial, and factoring these four terms using grouping</em>

Explanation:

The description may be better explained by applying it to an example.

Example:

  • trinomial: x² - x - 30

  • the general form of a trinomial is a x² - bx - 30

  • comparing with x² - x - 30 the <em>bx term </em>is - x

  • then you must <em>rewrite the bx term, - x,</em> into two terms whose coefficients are factors of 30:

          Two numbers which add up - 1 and multipled are - 30. Those numbers are - 6 and + 5, because -6 + 5 = - 1 and (-6) × (+5) = -30.

           Hence, the two terms are -6x and 5x, and the expression rewritten is:

            x² - 6x + 5x - 30

  • <em>factor these four terms using grouping</em>:

            (x² - 6x) + (5x - 30)

            x(x - 6) + 5(x - 6)

            (x - 6) (x + 5)

Hence, the factored trinomial is (x - 6) (x + 5)

4 0
3 years ago
The prime factorizations of 54 and 72 are shown below. Prime factorization of 54: 2, 3, 3, 3 Prime factorization of 72: 2, 2, 2,
zalisa [80]

Step-by-step explanation:

54 = 2 * 3³

72 = 2³ * 3²

To find the GCF of 54 and 72,

we find the highest common powers of their prime factors.

Highest common power for 2: 2

Highest common power for 3: 3²

Hence GCF of 54 and 72 = 2 * 3².

The answer is Option 2.

5 0
3 years ago
Read 2 more answers
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