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lapo4ka [179]
4 years ago
6

For each of the figures, write an absolute value equation to satisfy the given solution set.

Mathematics
1 answer:
Valentin [98]4 years ago
7 0

Answer:

|x-1|=5

Step-by-step explanation:

From the diagram you can see that the solutions of the equation are x_1=-4 and x_2=6

1. Find the midpoint between -4 and 6:

1/2(-4+6)=1

2. Find the distance between points x=1 and x=6 (or between x=1 and x=-4):

d=6-1=5

3. Writhe an absolute value equation (the distanse from endpoints x_1=-4 and x_2=6 to the midpoint x=1 is equal 5):

|x-1|=5

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HISTORY Refer to the stem-and-leaf plot below.
weeeeeb [17]

Part (a)

Count the number of individual digits in the leaf category only.

For the first row, we have 3 leaves representing 3 different ages between 20 and 29. Specifically those ages are 26, 26, 29. Repeat ages are possible.

The second row has 17 leaves in it

So far we have 3+17 = 20 people accounted for.

Keep this process going until you get every row.

You should find that in total there are 56 leaves in all to represent the 56 signers of the declaration of independence.

To verify the answer, you can look it up on any history website dealing with this point in time.

<h3>Answer: 56</h3>

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

Part (b)

The youngest age is 26 because it corresponds to the smallest stem (2) and the smallest leaf (6)

<h3>Answer: 26</h3>

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

Part (c)

The oldest person on the other hand was 70 since we look at the largest stem (7) and the largest leaf of that stem. There's only one leaf here so we don't have to worry about the second aspect.

Subtract the oldest and youngest ages to get the range.

range = max - min = 70 - 26 = 44

There's a 44 year gap between the oldest and youngest person.

<h3>Answer: 44</h3>

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

Part (d)

No, the majority weren't between 30 and 39. Instead, the majority of the signers were between 40 and 49 since we have the most leaves in the stem corresponding to "4".

6 0
2 years ago
take 25% off the original. now take off an additional 10% and calculate the new sales cost of this item. what is your total perc
Aneli [31]

x = original price, or 100%

if we take off 25% from 100% what's left is 75%, that's the discounted price.

let's then take 10% of that.

\bf \begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{75\% of "x"}}{\left( \cfrac{75}{100} \right)x\implies 0.75x} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{10\% of 0.75x}}{\left( \cfrac{10}{100} \right)0.75x\implies 0.075x}~\hfill \stackrel{\textit{total percent savings}}{0.75x-0.075x\implies 0.675x} \\\\[-0.35em] ~\dotfill

\bf \stackrel{\textit{changing that to percent format}}{0.675\cdot 100\implies 67.5\%}

8 0
3 years ago
Explain his concept class status and power according to Max Weber translate into nepali language​
Stella [2.4K]

Answer:

have a great Thanksgiving, I hope you have a great day

4 0
3 years ago
Nine lollies cost less than $10, while ten lollies cost more than $11 how much does each lollipop cost?
irina [24]

$21 it will cost for lollipop

5 0
4 years ago
Read 2 more answers
(2 + 10) x5 = (2 x 5) =(__x 5)
statuscvo [17]
10, 2+10=12x5=60 so when you have 2x5, which is 10, +_x5, you need to find a way to make it equal 50, so 10x5
i explained it bad sorry
4 0
3 years ago
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