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1 year ago

Anything helps :) thank you

Mathematics

1 answer:

LUCKY_DIMON [66]1 year ago

4 0

Answer:

the first one is (23)

number 7 is ( 34.069)

Step-by-step explanation:

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Help please thank you

lara31 [8.8K]

One of the rules of logarithms is as follows;

$\begin{gathered} \log _ab=x \\ Is\text{ equivalent to,} \\ a^x=b \end{gathered}$

We can now insert the corresponding values in the question provided, as shown below;

$\begin{gathered} \log _2\frac{1}{16}=-4 \\ \text{This is equivalent to,} \\ 2^{-4}=\frac{1}{16} \end{gathered}$

Note that, one of the rules of exponents, states that a number when raised to the power of a negative value, is equivalent to the reciprocal of that expression. An example is shown below;

$a^{-x}=\frac{1}{a^x}$

Therefore, our equation can now be re-written as follows;

$\begin{gathered} 2^{-4}=\frac{1}{16} \\ \frac{1}{2^4}=\frac{1}{16}^{} \\ \frac{1}{16}=\frac{1}{16} \end{gathered}$

However, the question requires the answer to be expressed in exponential form. Therefore,

$\log _2\frac{1}{16}=2^{-4}$

4 0

2 years ago

Find the perimeter and area

Nitella [24]

Answer:

Step-by-step explanation: Perimeter is distance around the outside so 8+8+5+5=26 units

Area - I'll get back with you

5 0

4 years ago

Read 2 more answers

I need helping answering 15. I need to create a table and graph the function.

Alekssandra [29.7K]

ANSWER and EXPLANATION

We want to order the functions from widest to narrowest:

$\begin{gathered} y=3x^2 \\ y=2x^2 \\ y=4x^2 \end{gathered}$

To do this, we have to plot the graphs of the functions by using a table of values.

Let us find the values of the functions for values of x = -2, 0, 2

For the first function:

$\begin{gathered} y=3x^2 \\ \Rightarrow x=-2: \\ y=3(-2)^2=3*4 \\ y=12 \\ \Rightarrow x=0: \\ y=3(0)^2=3*0 \\ y=0 \\ \Rightarrow x=2: \\ y=3(2)^2=3*4 \\ y=12 \end{gathered}$

Hence, its table is:

For the second function:

$\begin{gathered} y=2x^2 \\ \Rightarrow x=-2: \\ y=2(-2)^2=2*4 \\ y=8 \\ \Rightarrow x=0: \\ y=2(0)^2=2*0 \\ y=0 \\ \Rightarrow x=2: \\ y=2(2)^2=2*4 \\ y=8 \end{gathered}$

Hence, its table is:

For the third function:

$\begin{gathered} y=4x^2 \\ \Rightarrow x=-2: \\ y=4\left(-2\right)^2=4*4 \\ y=16 \\ \Rightarrow x=0: \\ y=4(0)^2=4*0 \\ y=0 \\ \Rightarrow x=2: \\ y=4(2)^2=4*4 \\ y=16 \end{gathered}$

Hence, its table is:

Now, let us plot the graphs of the functions:

Therefore, from the graph, we see that the order of the functions from widest to narrowest is: