How do you solve this equation? 4x-(2x-8)=-(3x-6)

x = {-1, 3}

Full explanation=

Simplifying x + 2 = 3x + -1x2 + 5 Reorder the terms: 2 + x = 3x + -1x2 + 5 Reorder the terms: 2 + x = 5 + 3x + -1x2 Solving 2 + x = 5 + 3x + -1x2 Solving for variable 'x'. Reorder the terms: 2 + -5 + x + -3x + x2 = 5 + 3x + -1x2 + -5 + -3x + x2 Combine like terms: 2 + -5 = -3 -3 + x + -3x + x2 = 5 + 3x + -1x2 + -5 + -3x + x2 Combine like terms: x + -3x = -2x -3 + -2x + x2 = 5 + 3x + -1x2 + -5 + -3x + x2 Reorder the terms: -3 + -2x + x2 = 5 + -5 + 3x + -3x + -1x2 + x2 Combine like terms: 5 + -5 = 0 -3 + -2x + x2 = 0 + 3x + -3x + -1x2 + x2 -3 + -2x + x2 = 3x + -3x + -1x2 + x2 Combine like terms: 3x + -3x = 0 -3 + -2x + x2 = 0 + -1x2 + x2 -3 + -2x + x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 -3 + -2x + x2 = 0 Factor a trinomial. (-1 + -1x)(3 + -1x) = 0 Subproblem 1Set the factor '(-1 + -1x)' equal to zero and attempt to solve: Simplifying -1 + -1x = 0 Solving -1 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -1x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1x = 0 + 1 -1x = 0 + 1 Combine like terms: 0 + 1 = 1 -1x = 1 Divide each side by '-1'. x = -1 Simplifying x = -1 Subproblem 2Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3Solutionx = {-1, 3}

4 0

3 years ago

Solve the inequality and then determine which graph is correct. 55 ≤ 24 + x

slava [35]

Answer:

C is the answer

Step-by-step explanation:

24 + x ≥ 55

x ≥ 31

solutions are all values to the right of 31, including 31

5 0

3 years ago

Read 2 more answers

The weight of an object rounds to 41.3 kilograms select the three posible weights that correctly round to 41.3 kilograms

nekit [7.7K]

Answer:

See Explanation

Step-by-step explanation:

Given

$Weight = 41.3kg$

Required

Determine the weights that approximates to 41.3kg

The options are not given but the question is still solvable

In approximation:

0 - 4 approximates to 0

This implies that:

41.30 to 41.34 approximates to 41.3

Also:

5 - 9 approximates to 1

This implies that:

41.25 to 41.29 approximates to 41.3

Bring the range together, we have:

$Range = 41.25\ to\ 41.34$

Select any three numbers within this range, and you have your answer

Examples are: 41.25, 41.28, 41.34\

4 0

3 years ago

Algebra 2 Grade 11

larisa [96]

Answer:

y - 5 = 3(x - 4)

Step-by-step explanation:

when given a point , the first is x and the last is y

(x,y)

(4,5)

3 0

4 years ago

If you walked all three trails in one day, how far would you walk? Write the answer in meters and kilometers

nordsb [41]

Answer:

a. Central Park 2.542 km, Marine Park 1.28 km, Van Cortlandt Park 2.30 km

b. 6.122 km

Further explanation

Given:

Van Cortlandt Park’s walking trail is 1.02 km longer than Marine Park’s.

Central Park’s walking trail is 0.242 km longer than Van Cortlandt’s.

Question a. Fill in the missing information in the chart below.

Central Park ____ km

Marine Park 1.28 km

Van Cortlandt Park ____ km

Problem solving:

From the information above, only Marine Park's walking trail has known at 1.28 km.

Because Van Cortlandt Park’s walking trail is 1.02 km longer than Marine Park’s, then we must add the Marine Park's with 1.02 km to get the Van Cortlandt Park's.

Van Cortlandt Park's walking trail = 1.28 km + 1.02 km

Thus, Van Cortlandt Park's walking trail is 2.30 km.

Next, we find out walking Central Park.

Because Central Park’s walking trail is 0.242 km longer than Van Cortlandt’s, then we must add the Van Cortlandt’s with 0.242 km to get the Central Park's.

Central Park's walking trail = 2.30 km + 0.242 km

Thus, Central Park's walking trail is 2.542 km.

Question b. If a tourist walked all 3 trails in a day, how many kilometers would he or she have walked?

Problem solving:

We have to add up the entire walking trail.

Central Park 2.542 km

Marine Park 1.28 km

Van Cortlandt Park 2.30 km

2.542 km + 1.28 km + 2.30 km = 6.122 km

If a tourist walked all 3 trails in a day, he or she would travel a distance of 6.122 km.

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Keywords: Van Cortlandt Park’s walking trail, 1.02 km, longer than Marine Park’s, Central Park’s, 0.242 km, fill in the missing information, in the chart below, a tourist walked all 3 trails in a day, how many kilometers

3 0

3 years ago