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Helen [10]
3 years ago
5

Which table of values can be defined by the function y = -2x + 5? X у -1 - 2 -1 --3 o -5 -7 1 2. -9 X V у --10-25 -5 -15 0 -5 5

5 10 15 x V у 2 9 4. 13 6 17 8 21 10 25​
Mathematics
1 answer:
Lisa [10]3 years ago
3 0

Answer:

29 i think

Step-by-step explanation:

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Express this to single logarithm
zzz [600]

Answer:  \log_{2}\left(\frac{q^2\sqrt{m}}{n^3}\right)

We have something in the form log(x/y) where x = q^2*sqrt(m) and y = n^3. The log is base 2.

===========================================================

Explanation:

It seems strange how the first two logs you wrote are base 2, but the third one is not. I'll assume that you meant to say it's also base 2. Because base 2 is fundamental to computing, logs of this nature are often referred to as binary logarithms.

I'm going to use these three log rules, which apply to any base.

  1. log(A) + log(B) = log(A*B)
  2. log(A) - log(B) = log(A/B)
  3. B*log(A) = log(A^B)

From there, we can then say the following:

\frac{1}{2}\log_{2}\left(m\right)-3\log_{2}\left(n\right)+2\log_{2}\left(q\right)\\\\\log_{2}\left(m^{1/2}\right)-\log_{2}\left(n^3\right)+\log_{2}\left(q^2\right) \ \text{ .... use log rule 3}\\\\\log_{2}\left(\sqrt{m}\right)+\log_{2}\left(q^2\right)-\log_{2}\left(n^3\right)\\\\\log_{2}\left(\sqrt{m}*q^2\right)-\log_{2}\left(n^3\right) \ \text{ .... use log rule 1}\\\\\log_{2}\left(\frac{q^2\sqrt{m}}{n^3}\right) \ \text{ .... use log rule 2}

8 0
3 years ago
I still need help with similar question
KatRina [158]

Step-by-step explanation:

<u>Step 1:  Determine the axis of symmetry</u>

The axis of symmetry is middle of the parabola.  In this equation we see that at x = -1 we have the vertex and also the middle of the parabola.  So our axis of symmetry is x = -1.

<u>Step 2:  Determine the vertex</u>

The vertex is the minimum or maximum of a parabola and is bent in a crest form.  In this example the vertex is at (-1, -3) because we are using the tip of the graph.

<u>Step 3:  Determine the y-intercept</u>

The y-intercept is where the graph intersects with the y-axis.  In this example we intersect the y-axis at -4 so that means that our point would be (0, -4) meaning that we intersect x = 0 at -4.

<u>Step 4:  Determine if the vertex is a min or max</u>

Looking at the graph we can see that the rest of the red line is beneath the vertex point which means that the vertex is a max.

<u>Step 5:  Determine the domain</u>

The domain is the x-values that we are going to be using and we know that we are reaching toward positive and negative inifity which means that we are using all real numbers.

<u>Step 6:  Determine the range</u>

The range is the y axis and what y values we are able to reach using the graph.  In this example we can see that all y-values above -3 are not being used therefore the range is y \leq -3

3 0
2 years ago
Stephen averaged 32.3 points a game. LeBron averaged 29.4 points a game. What was the difference between their averages?
Lynna [10]
Stephen avenged 2.9 points more then lebron
3 0
3 years ago
The box plots represent the birth weights, in pounds, of babies born full term at a hospital during one week.
Verdich [7]

Answer:

less than , less than, minimum

Step-by-step explanation:

got it right

8 0
2 years ago
F=9/5C+32. Solve for C.
Ymorist [56]
The answer is F= 68 C=20
5 0
3 years ago
Read 2 more answers
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