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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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The rectangle is 20 by 16 and the scale factor is 0.25. What are the dimensions of the reduced rectangle?
antoniya [11.8K]

Answer:

1,280

The dimensions are 5 by 4

Step-by-step explanation:

You multiply 20 and 16 then, divide 0.25 then you get 1,280

4 0
2 years ago
Suppose that in a large metropolitan area, 84% of all households have cable tv. Suppose you are interested in selecting a group
Firdavs [7]

Answer:

0.05606

Step-by-step explanation:

This is a binomial probability distribution problem.

84% of all households have cable TV, thus;

p = 0.84

There are six households from this area, thus; n = 6

Formula for this binomial distribution is;

P(X) = C(n, x) × p^(x) × (1 - p)^(n - x)

We want to find the proportion of groups where at most three of the households have cable TV.

Thus, it's is;

P(X ≤ 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)

P(X = 0) = C(6, 0) × 0.84^(0) × (1 - 0.84)^(6 - 0) = 0.00001678

P(X = 1) = C(6, 1) × 0.84^(1) × (1 - 0.84)^(6 - 1) = 0.000528

P(X = 2) = C(6, 2) × 0.84^(2) × (1 - 0.84)^(6 - 2) = 0.006963

P(X = 3) = C(6, 3) × 0.84^(3) × (1 - 0.84)^(6 - 3) = 0.04855

Thus;

P(X ≤ 3) = 0.00001678 + 0.000528 + 0.006963 + 0.04855 = 0.05606

5 0
3 years ago
Which table shows a proportional relationship between x and y?
Akimi4 [234]

Answer:

First one

Step-by-step explanation:

First choose because they are all multiply by 5

3 0
3 years ago
Rate how emo I am!!!
Nutka1998 [239]
5 ish not really emo
5 0
2 years ago
Read 2 more answers
Solve for x <br> -3x+8y= 5 <br> 6x - 2y=10<br><br> x= 15/7<br> x=10/7<br> x=5/7<br> x=5/2
oee [108]
I got 10/7 hope helped u
3 0
3 years ago
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