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Stels [109]
3 years ago
7

Find the common difference of the arithmetic sequence -2,6,14,...

Mathematics
1 answer:
yawa3891 [41]3 years ago
8 0

Lets note the change between each of the numbers in the sequence:

-2 --> 6 ---> 14

Next, make an equation between each of these numbers with x being the change between them

-2+ x = 6, 6 + x = 14 .

Now, solve each of these equations:

-2+ x = 6 --> -2+ x = 6 <em>Add 2 on both sides to cancel out the -2 </em>--> <em>x = 8</em>

6+ x = 14 --> -2+ x = 6 Minus <em>6 on both sides to cancel out the 6 </em>--> <em>x = 8</em>

<u><em>From this, the common difference will be 8.</em></u>

Hope that helps.

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To multiply fracti0ons, we need to convert them to improper fractions:

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Now, lets multiply:

-9/4 * -9/2 = 81/8

Hope this helps!

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4 0
3 years ago
Sue wants to know whether wearing sunglasses improves driving performance. If she uses an independent groups design, she would m
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randomly requiring half the drivers to drive with sunglasses and the other half to drive without sunglasses.

Step-by-step explanation:

When employing an independent group design in a research or experimental study, the different groups in the study are assigned entirely different subjects such that, subjects in the treatment group are different from those in the control group. Therfore, adopting an independent group design in the scenario described above means diving the subjects into two at random with one half driving with sunglasses and the other half having to drive without it.

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3 years ago
The ratio of the number of peas Julia had to the number of peas Vlada had was 3:2. After Julia gave Vlada 15 peas, she still had
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J:V = 3:2

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J:V is now 105:95

The original amount of peas that Julia had at first was 120.
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3 years ago
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264

Step-by-step explanation:

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Answer:

b = -a

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