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2 years ago

Solve for x: −2(x + 3) = −2x − 6 0 3 All real numbers No solution

Mathematics

2 answers:

Alik [6]2 years ago

8 0

Answer:

x ∈ All real numbers

Step-by-step explanation:

When the distributive property is applied to the left side, the parentheses can be eliminated and the equation becomes ...

-2x -6 = -2x -6

This is true for all possible values of x, "all real numbers".

Law Incorporation [45]2 years ago

5 0

Answer: All real solutions

Step-by-step explanation:

The given equation: $-2(x + 3) = -2x - 6$

Fist we open bracket on the right hand side , we get

$-2(x) + -2(3) = -2x - 6\\\\\Rightarrow\ -2x-6=-2x-6$

Adding 2x and 6 and on both sides , we get

$0=0$

Thus, the equation is true for all values of x.

Hence, solution for x= All real solutions

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For the function y=-1+6 cos(2pi/7(x-5)) what is the minimum value?

Ad libitum [116K]

Usually one will differentiate the function to find the minimum/maximum point, but in this case differentiating yields:
$\frac{2\pi}{7(x-5)^{2}}\sin{\frac{2\pi}{7(x-5)}}}$
which contains multiple solution if one tries to solve for x when the differentiated form is 0.

I would, though, venture a guess that the minimum value would be (approaching) 5, since the function would be undefined in the vicinity.

If, however, the function is
$-1+\cos{\frac{2\pi}{7}(x-5)}}$
Then differentiating and equating to 0 yields:
$\sin{\frac{2\pi}{7}(x-5)}}=0$
which gives:
$x=5$ or $8.5$

We reject x=5 as it is when it ix the maximum and thus,
$x=8.5\pm7n$ , for $n=0,\pm 1,\pm 2, ...$

3 0

3 years ago

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a right angle triangle has the perimeter of 96cm. the length of its sides are in the ratio of 6:8:10. work out the area of the t

Solnce55 [7]

Answer:

384 centimeters squared.

Step-by-step explanation:

96/(6+8+10)

96/24 = 4

6×4 : 8×4 : 10×4

24:32:40

The length of its sides are in the ratio of 24:32:40

The longest side is the hypotenuse which is 40.

The area is base × height × 1/2 of a triangle.

32 × 24 × 1/2

768 × 1/2

=384

The area of the triangle is 384 cm squared.

4 0

3 years ago

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A sole proprietorship is worth w dollars. The owner loses a lawsuit

KIM [24]

Answer:

y - w

Step-by-step explanation:

Step 1

The owner can sell the sole proprietorship for w dollars, so you need to find out what remains of y to find the answer.

Step 2

Hence: y - w shows the remainder.

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3 years ago

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Will mark brainliest!! factor the following equation: g(x)=2x²-2x-24

Darina [25.2K]

Answer:

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

Step-by-step explanation:

4 0

3 years ago

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The cup was filled at a constant rate. It started empty. After 2 seconds, it held 70 cm cubed of water.Find the percent of the c

Helen [10]

Answer:

In 3 seconds the cup is filled with $105\ cm^3$ .

Step-by-step explanation:

Given:

2 seconds = $70\ cm^3$ water

We need to find the percent of the cup that is filled with water after 3 seconds.

Solution:

Now Given:

The cup was filled at a constant rate.

First we will find the volume of water filled in the cup after 1 seconds.

2 seconds = $70\ cm^3$ water

1 seconds = Volume of water filled in 1 second.

By Using Unitary method we get;

Volume of water filled in 1 second = $\frac{70}{2}= 35\ cm^3$

Now we will find the volume of water filled in the cup after 3 seconds.

1 second = $35\ cm^3$ of water is filled

3 seconds = volume of water filled in the cup after 3 seconds

Again by using Unitary method we get;

volume of water filled in the cup after 3 seconds = $35 \times 3 = 105\ cm^3$

Hence In 3 seconds the cup is filled with $105\ cm^3$ .

To find the percent of the cup filled with water after 3 seconds we would required the dimensions of the cup which is not available in the question.

6 0

3 years ago