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Mama L [17]
3 years ago
5

Solve: 2^x-2^(x-2)=6

Mathematics
2 answers:
malfutka [58]3 years ago
5 0
X=3! Hope this helps (:
ahrayia [7]3 years ago
3 0

<span><span>2x+2+<span>(−3x+6)</span>=x+6</span><span>2x+2+<span>(-3x+6)</span>=x+6</span></span>Simplify by adding terms.
<span><span>−x+8=x+6</span><span>-x+8=x+6</span></span>Move all terms containing <span>xx</span> to the left side of the equation.
Since <span>xx</span> contains the variable to solve for, move it to the left side of the equation by subtracting <span>xx</span> from both sides.<span><span>−x+8−x=6</span><span>-x+8-x=6</span></span>Subtract <span>xx</span> from <span><span>−x</span><span>-x</span></span> to get <span><span>−2x</span><span>-2x</span></span>.<span><span>−2x+8=6</span><span>-2x+8=6</span></span>Move all terms not containing <span>xx</span> to the right side of the equation.
Since <span>88</span> does not contain the variable to solve for, move it to the right side of the equation by subtracting <span>88</span> from both sides.<span><span>−2x=−8+6</span><span>-2x=-8+6</span></span>Add <span><span>−8</span><span>-8</span></span> and <span>66</span> to get <span><span>−2</span><span>-2</span></span>.<span><span>−2x=−2</span><span>-2x=-2</span></span>Divide each term by <span><span>−2</span><span>-2</span></span> and simplify.
Divide each term in <span><span>−2x=−2</span><span>-2x=-2</span></span> by <span><span>−2</span><span>-2</span></span>.<span><span>−<span><span>2x</span><span>−2</span></span>=−<span>2<span>−2</span></span></span><span>-<span><span>2x</span><span>-2</span></span>=-<span>2<span>-2</span></span></span></span>Simplify the left side of the equation by cancelling the common factors.
<span><span>x=−<span>2<span>−2</span></span></span><span>x=-<span>2<span>-2</span></span></span></span>Divide <span>22</span> by <span><span>−2</span><span>-2</span></span> to get <span><span>−1</span><span>-1</span></span>.<span>x=<span>1</span></span>
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Can someone help me with this?
Wewaii [24]
<span>3x+4=y+5, then y+5=3x+4
It is called: reflexive property

-----------------------------
</span>
<span>x = y and y = 10, then x = 10
It is called: equality substitution property  
</span>

7 0
3 years ago
Determining slope and y-intercept
maw [93]

Answer:

The slope is -1

Step-by-step explanation:

Anytime the x-intercept values have 0 in it, the y-intercept value which is below/above the x-values (Which in this case is -1) is the y-intercept.

3 0
2 years ago
In an arithmetic series, the sum of the first 12 terms is equal to ten times the sum of the first 3 terms. If the first term is
arlik [135]

Answer:

Step-by-step explanation:

The formula for determining the sum of the first n terms of an arithmetic sequence is expressed as

Sn = n/2[2a + (n - 1)d]

Where

n represents the number of terms in the arithmetic sequence.

d represents the common difference of the terms in the arithmetic sequence.

a represents the first term of the arithmetic sequence.

If a = 5, the expression for the sum of the first 12 terms is

S12 = 12/2[2 × 5 + (12 - 1)d]

S12 = 6[10 + 11d]

S12 = 60 + 66d

Also, the expression for the sum of the first 3 terms is

S3 = 3/2[2 × 5 + (3 - 1)d]

S3 = 1.5[10 + 2d]

S3 = 15 + 3d

The sum of the first 12 terms is equal to ten times the sum of the first 3 terms. Therefore,

60 + 66d = 10(15 + 3d)

60 + 66d = 150 + 30d

66d + 30d = 150 - 60

36d = 90

d = 90/36

d = 2.5

For S20,

S20 = 20/2[2 × 5 + (20 - 1)2.5]

S20 = 10[10 + 47.5)

S20 = 10 × 57.5 = 575

8 0
3 years ago
A study of 800 homeowners in a certain area showed that the average value of the homes was $82,000, and the standard deviation w
Ivenika [448]

Answer:

400

Step-by-step explanation:

it says average which probably means 400

4 0
2 years ago
6x(x − 4) − 16x2 − (9x − 1)?
krek1111 [17]

Answer:

\large\boxed{A.\ -10x^2-33x+1}

Step-by-step explanation:

6x(x-4)-16x^2-(9x-1)\qquad\text{use the distributive property}\\\\=(6x)(x)+(6x)(-4)-16x^2-9x-(-1)\\\\=6x^2-24x-16x^2-9x+1\qquad\text{combine like terms}\\\\=(6x^2-16x^2)+(-24x-9x)+1\\\\=-10x^2-33x+1

7 0
2 years ago
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