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2 years ago

What is the simplified expression for the expression below? -1(2x + 3) - 2(x - 1) O 4x+ O 4x - 2 o 4x + 2 0 4x -

Mathematics

1 answer:

Korolek [52]2 years ago

8 0

Given:

The expression is:

$-1(2x+3)-2(x-1)$

To find:

The simplified form of the given expression.

Solution:

We have,

$-1(2x+3)-2(x-1)$

Using distributive property, we get

$-1(2x+3)-2(x-1)=-1(2x)-1(3)-2(x)-2(-1)$

$-1(2x+3)-2(x-1)=-2x-3-2x+2$

On combining like terms, we get

$-1(2x+3)-2(x-1)=(-2x-2x)+(2-3)$

$-1(2x+3)-2(x-1)=-4x-1$

Therefore, the simplified form of the given expression is $-4x-1$ .

Note: The correct option is not available.

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The value of

marusya05 [52]

$\large\underline{\sf{Solution-}}$

We have to find out the value of the fraction.

Let us assume that:

$\sf \longmapsto x =2 + \dfrac{1}{2 + \dfrac{1}{2 + \dfrac{1}{2 + ... \infty} } }$

We can also write it as:

$\sf \longmapsto x =2 + \dfrac{1}{x}$

$\sf \longmapsto x =\dfrac{2x + 1}{x}$

$\sf \longmapsto {x}^{2} =2x + 1$

$\sf \longmapsto {x}^{2} - 2x - 1 = 0$

Comparing the given equation with ax² + bx + c = 0, we get:

$\sf \longmapsto\begin{cases} \sf a =1 \\ \sf b = - 2 \\ \sf c = - 1 \end{cases}$

By quadratic formula:

$\sf \longmapsto x = \dfrac{ - b \pm \sqrt{ {b}^{2} - 4ac } }{2a}$

$\sf \longmapsto x = \dfrac{2 \pm \sqrt{ {( - 2)}^{2} - 4(1)( - 1)} }{2 \times 1}$

$\sf \longmapsto x = \dfrac{2 \pm \sqrt{4 + 4} }{2 \times 1}$

$\sf \longmapsto x = \dfrac{2 \pm \sqrt{8} }{2}$

$\sf \longmapsto x = \dfrac{2 \pm2 \sqrt{2} }{2}$

$\sf \longmapsto x = 1 \pm\sqrt{2}$

$\sf \longmapsto x = \begin{cases} \sf 1 + \sqrt{2} \\ \sf 1 - \sqrt{2} \end{cases}$

But "x" cannot be negative. Therefore:

$\sf :\implies x = 1 + \sqrt{2}$

So, the value of the fraction is 1 + √2.

4 0

2 years ago

Twenty-five more than four times a number is equal to the difference between 109 and twice the number. Find the number.

Len [333]

Answer:

i dont understand

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

A coin collector has $45 in just dimes and quarters in a piggy bank he counted all the coins and there are 240 total how many ea

Whitepunk [10]

Answer:

The number of dimes are 100 and number of quarters are 140.

Step-by-step explanation:

Let the number of dimes be 'd' and quarters be 'q'.

Given:

The sum of amount is $45.

The total number of coins are 240.

1 dime = $0.10

∴ 'd' dimes = $\$0.10d$

1 quarter = $0.25

∴ 'q' quarters = $\$0.25q$

Now, as per question:

$d+m=240-----1\\0.1d+0.25q=45---2$

Multiplying equation (1) by -0.1 and adding the result to equation (2), we get:

$-0.1d-0.1q=240\times -0.1\\-0.1d-0.1q=-24\\0.1d+0.25q=45\\-----------\\0.15q=21\\q=\frac{21}{0.15}=140\\\\d=240-q=240-140=100$

Therefore, the number of dimes are 100 and number of quarters are 140.

7 0

2 years ago

Of 60 corn seeds that were planted, 18 of them did not sprout. What percent of the corn seeds

Lyrx [107]

Answer:

30%

Step-by-step explanation:

18 / 60 = .3 * 100 = 30%

4 0

2 years ago

Read 2 more answers

Please answer these three questions. There are 3 images attached below and they apply to each question, in order.

statuscvo [17]

1a. It is because each x only has 1 y and it has an equation
1b. It is not a function because each x has more than 1 y.
1c. It is not a function because there can be no equation written for this graph.

7 0

3 years ago

What is the simplified expression for the expression below? -1(2x + 3) - 2(x - 1) O 4x+ O 4x - 2 o 4x + 2 0 4x -​

What is the simplified expression for the expression below? -1(2x + 3) - 2(x - 1) O 4x+ O 4x - 2 o 4x + 2 0 4x -