All categories

3 years ago

Solve for x: -2(x + 3) = -2(x + 1) - 4

Mathematics

2 answers:

Nataly [62]3 years ago

8 0

$-2(x+3)=-2(x+1)-4\\\\-2x-6=-2x-2-4\\\\-2x-6=-2x-6\ \ \ \ |add\ (-2x)\ to\ both\ sides\\\\-6=-6\ \ TRUE\\\\
infinitely\ many\ solutions,\ x\in\mathbb{R}.$

meriva3 years ago

7 0

$-2(x + 3) = -2(x + 1) - 4\\
-2x-6=-2x-2-4\\
-6=-6\\
x\in\mathbb{R}$

You might be interested in

Which is a perfect square?

Charra [1.4K]

Answer:

Step-by-step explanation:

$\sqrt{a}=b\iff b^2=a\ for\ a\geq0\ and\ b\geq0\\\\\\\sqrt5-not\ rational\\\\\sqrt8-not\ rational\\\\\sqrt{36}=6-rational\qquad(\sqrt{36}=6\ because\ 6^2=36)\\\\\sqrt{44}-not\ rational$

3 0

3 years ago

Read 2 more answers

A gravel path is to be built around an 18‘ x 15‘ rectangle garden if the width remains constant how why can the path be if there

Ilia_Sergeevich [38]

Answer:

P = 2*(18 + 13) = 62ft

Now to figure out the width of the path we have to do some geometry. There are 3 basic shapes we will use for the path, they are the 13 ft long rectangle, the 18 ft long rectangle, and the squares formed at the corners. These squares' areas are equal to the width squared, whereas the rectangles are only equal to the length times the width. Our total area then becomes:

A = 2*(13*w) + 2*(18*w) + 4*(w*w)

A = 4w^2 + 62w

And since we know the available area is 516 ft^2, putting this in for A and solving the quadratic equation we can get the width:

516 = 4w^2 + 62w

0 = 4w^2 + 62w - 516

Using the quadratic formula: (w = -b2+/-SQRT(b^2 - 4ac)/2a, where a = 4, b = 62, and c = -516)

w = 6, -21.5

Since we obviously cannot have a negative width, 6 must be our answer. Therefore the path can be 6 feet wide!

We can check this answer by doing the following. Please note that by having a 6ft wide path you would actually be adding 12 ft to both dimensions, since you add 6 feet of length to both sides. Your total area would then become:

18+(2*6) x 13+(2*6) = 30x25 = 750 ft^2

Subtracting the area of the garden gives you the are of the gravel required:

750ft^2 - (18*13)ft^2 = 516ft^2

Therefore a width of 6 feet is correct.

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

3 Which of the following relations represent functions? 3 X 2 8 14 22 7 11 11 11 N co ON 7 11 8 N2 11

ratelena [41]

Answer:

X and W, as they're the only ones that don't repeat an X value.

8 0

2 years ago

Give a recursive definition of each of these sets of ordered pairs of positive integers. [Hint: Plot the points in the set in th

konstantin123 [22]

Answer:

(2,1), (1,2) is your base step

if (a,b) is in the set (a+1,b+1) will be in the set

if (a,b) is in the set (a+2,b) will be in the set

if (a,b) is in the set (a,b+2) will be in the set.

Step-by-step explanation:

Think about how to solve this problem in general. How can you assure that the sum a+b is odd ?

Think about this, what happens when you sum two even numbers ? The result is even or odd ?

2+6 = 8 (even )

10+12 = 22 (even)

And what happens when you sum two odd numbers ? The result will be even or odd ? Look

3+7 = 10 (even)

5+11 = 16 (even)

Therefore to assure that a+b is odd, one of them has to be odd and one of them has to be even, that is why

(2,1), (1,2) is your base step

if (a,b) is in the set (a+1,b+1) will be in the set

if (a,b) is in the set (a+2,b) will be in the set

if (a,b) is in the set (a,b+2) will be in the set.

3 0

3 years ago

Runners participating in a charity event will run 2.1 km from the starting point to a water station and then run 1.75 km to the

Alla [95]

Answer:

Step-by-step explanation:

6 0

4 years ago

Read 2 more answers