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k0ka [10]
3 years ago
8

A is a constant. Find A such that the equation 2x + 1 = 2A + 3(x + A) has a solution at x = 2.

Mathematics
1 answer:
neonofarm [45]3 years ago
4 0

                 2x + 1  =  2A + 3(x + A)

You want x=2 to be a solution.
So the equation will be a true statement when

                 2(2) + 1  =  2A + 3(2 + A)

                     4 + 1  =  2A + 6 + 3A

Combine like terms:  5 = 5A + 6

Subtract 6 from each side:  -1 = 5A

Divide each side by  5:     <em> -0.2  =  A</em>


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vlabodo [156]

Answer:

= 0.419

Step-by-step explanation:

in pic  

(Hope this helps can I please have brainlist (crown)☺️)

8 0
2 years ago
Write the equation y- 6 = _5(x + 1) in<br> slope-intercept form.
Georgia [21]

Answer:

y = -5x + 1

Step-by-step explanation:

y - 6 = -5 (x + 1)

distribute -5 (x + 1) by multiplying

y - 6 = -5x - 5

than add 6 to both sides

y = -5x + 1

3 0
3 years ago
marking brainlist. please help What is the first inverse operation for the following problem? 3x+4=12
Strike441 [17]

Answer:

3x + 4 = 12 :- x = 8 / 3

Step-by-step explanation:

3x + 4 = 12

Move all terms not containing x to the right side of the equation.

Subtract 4 from both sides of the equation.

3x = 12 - 4

Subtract 4 from 12.

3x = 8

Divide each term by 3 and simplify.

Divide each term in 3x = 8 by 3.

3x / 3 = 8 / 3

Cancel the common factor of 3.

Divide x by 1.

x = 8 / 3

The result can be shown in multiple forms.

Exact Form:

x = 8 / 3

Decimal Form:

x = 2.6

Mixed Number Form:

x = 2 2/3

3 0
2 years ago
Compare and contrast the solution of |2x + 8| &gt; 6 and the solution of |2x + 8| &lt; 6.
svet-max [94.6K]

Answer:

B.

The solution of |2x + 8| > 6 includes all values that are less than –7 or greater than –1.

The solution of |2x + 8| < 6 includes all values that are greater than –7 and less than –1.

__

Step-by-step explanation:

You can find the solution by "unfolding" the absolute value, then dividing by 2 and subtracting 4:

-6 > 2x +8 > 6 . . . . . read this as -6 is less than 2x+8 or 2x+8 is greater than 6

-3 > x +4 > 3 . . . . . . .divide by 2

-7 > x > -1 . . . . . . . . . solution to the first inequality: x is less than -7 or greater than -1.

___

The solution to the other inequality is identical, except the direction of the comparison is reversed. It is read differently, because the segments overlap, rather than being disjoint.

-7 < x < -1 . . . . . . . . solution to the second inequality: x is greater than -7 and less than -1.

__

These descriptions match choice B.

3 0
3 years ago
Point M is the midpoint of AB. The coordinates of point A are (-8, 3) and the coordinates of M are (-2, 1). What are the coordin
ch4aika [34]

Answer:

the coordinates of point B are (-5, 2)

Step-by-step explanation:

1. use midpoint formula to find the midpoint (equation attached below)

2. plug in the numbers

(\frac{-8+(-2)}{2},\frac{3+1}{2})

3. solve

(\frac{-8-2)}{2},\frac{3+1}{2})

(\frac{-10}{2},\frac{4}{2})

(-5,2})

4 0
3 years ago
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