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My name is Ann [436]
2 years ago
6

What is the value of A when we rewrite 2^x-6 + 2x as A * 2^x?

Mathematics
1 answer:
Leto [7]2 years ago
6 0

Algebraic expressions are expressions that use numbers and variables

The value of A is 65/64

<h3>How to determine the value of A</h3>

The expression is given as:

2^{x - 6} + 2^x

Rewrite the expression as:

2^{x - 6} + 2^x = \frac{2^x}{2^6} + 2^x

Factor out 2^x

2^{x - 6} + 2^x = 2^x(\frac{1}{2^6} + 1)

Rewrite as product

2^{x - 6} + 2^x = 2^x * (\frac{1}{2^6} + 1)

The expression to compare with is given as: A * 2^x.

So, we have:

A * 2^x  =2^x * (\frac{1}{2^6} + 1)

Divide both sides by 2^x

A =\frac{1}{2^6} + 1

Take LCM

A =\frac{1 + 2^6}{2^6}

A =\frac{65}{64}

Hence, the value of A is 65/64

Read more about expressions at:

brainly.com/question/4344214

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In triangle pqr PQ is equals to PR and angle Q is equals to 80 degree find angle p​
Dmitry [639]

Answer: ∠P= 20°

<h3>Step-by-step explanation: Well we know that the sum of a triangle always equals to 180°, so ∠P + 80 +80 = 180° </h3>

∠P + 160 = 180

Subtract 160 from both sides, 160 on the left is cancelled so that 180-160 equals 20  

∠P=20°

6 0
3 years ago
Can anyone help me???
Alenkinab [10]

Answer: think A

Step-by-step explanation:

3 0
2 years ago
Determine if the two lines with the given slope are parallel, perpendicular, or neither. Circle your
Sati [7]

Answer:

As the lines are neither parallel nor perpendicular.

Therefore, the correct answer is ''neither''.

Hence, option C is correct.

Step-by-step explanation:

Given

m₁ = 3/2

m₂ = -3/2

We know that when two lines are parallel, they have equal slopes

But

m₁ ≠ m₂

3/2 ≠ -3/2

As the m₁ and m₂ are not equal.

Hence, the lines are not parallel.

We know that when two lines are perpendicular, the product of their slopes is -1.

Let us check the product of two slopes m₁ and m₂

m₁ × m₂ = 3/2 × -3/2

              = -9/4

              = -2.25

As

m₁ × m₂ ≠ -1

Thus, the lines are not perpendicular.

Conclusion:

As the lines are neither parallel nor perpendicular.

Therefore, the correct answer is ''neither''.

Hence, option C is correct.

8 0
2 years ago
In quadrilateral XWZY, name the angles which are consecutive with angle W
Aleksandr [31]

The consecutive angles are

Angle x

And

Angle z

3 0
2 years ago
A car company is going to issue new ID codes to its employees. Each code will have one digit followed by four letters. The lette
scoray [572]

2734375 employee ID codes can be generated

<em><u>Solution:</u></em>

Given that Each code will have one digit followed by four letters

The letter V and the digits 3, 4, and 5 will not be used

So, there are 25 letters and 7 digits that will be used

Assume that the letters can be repeated

Each code = 1 digit + four letters

digits 3 , 4 , 5 cannot be used

Therefore, the remaining digits are 1, 2, 6, 7, 8 , 9, 0

7 digits that will be used

One digit can be chosen from 7 digits in 7 ways

The first letter can be chosen from 25 letters in 25 ways

Since given that letters can be repeated

The second letter can be chosen from 25 letters in 25 ways

Similarly, the third letter can be chosen from 25 letters in 25 ways

Similarly, the fourth letter can be chosen from 25 letters in 25 ways

<u><em>Therefore, the total number of ways are:</em></u>

\rightarrow 7 \times 25 \times 25 \times 25 \times 25 = 7 \times 25^4\\\\ \rightarrow 2734375

Thus 2734375 employee ID codes can be generated

3 0
3 years ago
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