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Gemiola [76]
3 years ago
8

Which of the following is not a proportional liner relationship?

Mathematics
1 answer:
DanielleElmas [232]3 years ago
8 0
<h3>Answer: Choice A</h3>

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

Explanation:

A proportional linear relationship is of the form y = kx

We can solve for k to get k = y/x.

Based on that, we can prove a table is a proportional linear relationship if and only if each column of x,y values divide to the same number.

Choice A shows that y/x = 2/8 = 1/4 for the first column; however, y/x = 8/16 = 1/2 for the second column. The outputs 1/4 and 1/2 not being the same indicates we don't have a constant k value for all of the columns. This is sufficient to show that table A is not a proportional linear relationship.

-------------

In contrast, table B is a proportional linear relationship because we have these four divisions that lead to the same value (1/8)

  • Column One: y/x = 2/16 = 1/8
  • Column Two: y/x = 4/32 = 1/8
  • Column Three: y/x = 6/48 = 1/8
  • Column Four: y/x = 8/48 = 1/8

Showing that k = 1/8 for table B. The equation here is y = (1/8)x. We can rule out choice B.

I'll let you check out tables C and D on your own, but you should find that a similar situation shows up as did with table B. This indicates tables C and D are also proportional linear relationships. We can rule out choices C and D.

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2.34 x 10^65   + 9.2 x10^66  
vivado [14]

Answer:

9.434 X 10^66

Step-by-step explanation:

2.34 X 10^65  +  9.2 X 10^66    (First, you have to manipulate the exponents to bring them to the same index, i.e. the same power)

We can say that 2.34 X 10^65 = 0.234 X 10^66

Now that the indexes are equivalent, we can proceed to add the two bases together.

0.234 X 10^66  +  9.2 X 10^66

= (0.234  +  9.2) X 10^66

= 9.434 X 10^66

3 0
3 years ago
Mr. Romero is buying a cell phone that has a regular price of $649. The cell phone is on sale for 15% off the regular price. Wha
Dafna11 [192]

Answer:

15 \div 100 \times 649 = 97.35 \\ 649 - 97.35 = 551.65

therefore the new price is $551.65

6 0
3 years ago
Can someone please answer 5, 6 and 7? Thank you.
Montano1993 [528]
Reduce a 24 cm by 36 cm photo to 3/4 original size.

The most logical way to do this is to keep the width-to-height ratio the same:  It is 24/36, or 2/3.  The original photo has an area of (24 cm)(36 cm) = 864 cm^2.

Let's reduce that to 3/4 size:  Mult. 864 cm^2 by (3/4).  Result:  648 cm^2.

We need to find new L and new W such that W/L = 2/3 and WL = 648 cm^2.

From the first equation we get W = 2L/3.  Thus, WL = 648 cm^2 = (2L/3)(L).

Solve this last equation for L^2, and then for L:

2L^2/3 = 648, or (2/3)L^2 = 648.  Thus, L^2 = (3/2)(648 cm^2) = 972 cm^2.

Taking the sqrt of both sides, L = + 31.18 cm.  Then W must be 2/3 of that, or W = 20.78 cm.

Check:  is LW = (3/4) of the original 864 cm^2?  YES.


6 0
3 years ago
What function is the inverse of the exponential function y = (1.5)x?
vagabundo [1.1K]

Correct question is;

What function is the inverse of the exponential function y = 1.5^(x)?

Answer:

y = log_1.5_x

Step-by-step explanation:

The inverse of exponential functions is usually written in form of logarithm.

For example inverse of y = p^(x) will be written as; y = log_p_(x)

Similarly applying this same pattern to our exponential function y = 1.5^(x), we have the inverse as;

y = log_1.5_x

6 0
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