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3 years ago

(08.03)A set of equations is given below:

Mathematics

2 answers:

faltersainse [42]3 years ago

7 0

Answer: Third option

$-x + 2 = 3x - 4.$

Step-by-step explanation:

One of the ways of solving a system of equations is by equating the equations and solving for one of the variables.

In this case we have the system:

$y = -x + 2\\\\y = 3x - 4$

Note that if $y$ is equal $-x + 2$ and also $y$ equals $3x - 4$

Then logically $-x + 2$ must be equal to $3x - 4$ .

We write equality.

$-x + 2 = 3x - 4.$

Then the correct answer is the third option.

We can also solve for the variable x

$-4x = -6\\\\4x = 6\\\\x = \frac{6}{4}\\\\x = \frac{3}{2}$

Veronika [31]3 years ago

4 0

Answer:

-x + 2 = 3x - 4.

Step-by-step explanation:

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3 years ago

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weeeeeb [17]

Answer:

Calculating (5 x 2) violates the order of operations

Step-by-step explanation:

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2 years ago

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Find the sum of the first 6 terms of the sequence: –3, 1, 5, 9, . . .A) 45B) 42C) 48D) 25

Leni [432]

SOLUTION

From the sequence give

–3, 1, 5, 9, . . .

The first term, a = -3

The common difference, d = 4 (gotten by adding 4 to the next term).

The number of terms required n = 6.

Formula for sum of an arithmetic sequence is given by

$S_n=\frac{n}{2}\lbrack2a+(n-1)d\rbrack$

Substituting these values into the equation above we have

$\begin{gathered} S_n=\frac{n}{2}\lbrack2a+(n-1)d\rbrack \\ S_6=\frac{6}{2}\lbrack2\times-3+(6-1)4\rbrack \\ S_6=3\lbrack-6+(5)4\rbrack \\ S_6=3\lbrack-6+20\rbrack \\ S_6=3\lbrack14\rbrack \\ S_6=42 \end{gathered}$

Hence, the answer is 42, option B

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1 year ago

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Dvinal [7]

Answer:

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Step-by-step explanation:

x^2 -2x-24

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x^2 -2x-24 = (x - 6)(x + 4)

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3 years ago

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Step-by-step explanation:

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3 years ago