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Pavel [41]
2 years ago
8

Evaluate the function can someone please explain how I would solve this please?

Mathematics
2 answers:
ElenaW [278]2 years ago
8 0
Y = 4 x 2^-6
y = 4 x 1/2^6
y = 4 x 1/64
y = 1/16
Elena-2011 [213]2 years ago
8 0
To think intuitively of what it means to take a number to a negative power, first consider how we define taking a number to a <em>positive </em>power.

Before we even get there, though, consider how we define multiplication as <em><span>repeated </span>addition</em>. When you see an expression like 3 x 5, what that essentially translates to is "add 3 to itself <em>5 times</em>," so we could also write 3 x 5 as 3 + 3 + 3 + 3 + 3. Having established that, around middle school, you'll typically get your first exposure to positive exponents, which are defined at first as <em>repeated multiplication</em>. When you see something like 3^5, we could also read that as "multiply 3 by itself <em>5 times</em>," or 3\times3\times3\times3\times3.

With that definition for <em>positive</em> exponents defined, it makes sense that we would define <em>negative </em>exponents in terms of the inverse of repeated multiplication: repeated <em>division</em>. Each time we step the exponent back by 1, we divide by the base again. For example, let's take these decreasing powers of 3 and notice what happens:

3^3 = 27\\3^2=27/3=9\\3^1=9/3=3\\3^0=3/3=1

If we start stepping back further, we start getting to values below 1:

3^{-1}=1/3\\3^{-2}=(1/3)/3=1/3^2=1/9\\ 3^{-3}=(1/9)/3=1/3^3=1/27

And this pattern continues, with the essential takeaway being that 3^{-x}=1/3^x

Try applying that pattern to the equation you've been given, y=4\cdot2^{-6}, and see what you get!
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Which equation is tru when the value of x is 3.5?
Murljashka [212]
None of the equations are true they are all false when you plug in 3.5 for x
7 0
2 years ago
Please help answer the question in the picture ​
musickatia [10]
A in the answer for this question
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3 0
2 years ago
Read 2 more answers
3/8 x 2/6 x 4/8 x 5/12
Hatshy [7]

Answer:

\frac{5}{192}

Step-by-step explanation:

\frac{3}{8}*\frac{2}{6}*\frac{4}{8}*\frac{5}{12}\\\\\frac{3}{8}*\frac{1}{3}*\frac{1}{2}*\frac{5}{12}\\\\\frac{1}{8}*\frac{1}{3}*\frac{1}{2}*\frac{5}{4}\\\\\frac{5}{192}

7 0
2 years ago
2v+7=3<br><br> Help me out <br><br><br> I’m dating vinnie hacker
Mariana [72]
2v=3-7
2v=-4 divide both sides
v=-2
4 0
2 years ago
Read 2 more answers
Determine whether the given sequence could be geometric, arithmetic, or neither. if possible, identify either the common ratio o
REY [17]

ARITHMETIC CHECK: A sequence is said to be arithmetic if any two consecutive terms differ by the same constant.

So, the test to check if a series is arithmetic is to compute consecutive differences, and see if they all return the same number.

If we subtract the first two terms, we have 2-4 = -2. If we subtract the third and second terms, we have 1-2 = -1.

These two differences returned two different values, so the series is not arithmetic.

GEOMETRIC CHECK: A sequence is said to be geometric if any two consecutive terms are in the same ratio.

So, the test to check if a series is geometric is to compute consecutive ratios, and see if they all return the same number.

If we divide the first two terms, we have

\dfrac{2}{4} = \dfrac{1}{2}

If we divide the third and second terms, we have

\dfrac{1}{2} = \dfrac{1}{2}

Finally, if we divide the last two terms we have

\dfrac{\frac{1}{2}}{1} = \dfrac{1}{2}

So, all ratios return the same number. This means that the series is geometric, and the common ratio is 1/2



7 0
3 years ago
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