Answer:
1. 30
Step-by-step explanation:
First, place the numbers from least to greatest.
11,13,23,37,45,58
Then, find the middle number (or two middle numbers).
In this case, the middle numbers are 23 and 37.
Third, we find the mean of these numbers.
23+37=60
60/2=30
So your answer is 30.
Repeat this method for the other problems.
<h3>
Answer: 2z^3</h3>
====================================================
Explanation:
The GCF of the coefficients {6, -42, 14} is 2 as it is the largest factor found in each of the three values.
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For the variable portions, we can
- write z^5 as z^3*z^2
- write z^4 as z^3*z^1
- write z^3 as z^3*1
Each time we see z^3 show up, so this is the largest common factor among the three variable terms.
----------
The two results we got were 2 and z^3
Putting the two results together, we end up with the overall GCF of 2z^3
It is 311.49. You would multiply 0.10 and 349.10, which is 34.61. Then subtract 34.61 from 349.10, which is 311.49. So, after a 10% discount of 346.10, the answer would be 311.49
<h3>
Answer:</h3>
See attached graphs.
<h3>
Step-by-step explanation:</h3>
You are being asked to observe the graphs of the various equations and identify something they have in common. To answer the question, it usually works well to do exactly what the question asks you to do.
a: All three lines have a slope of at least 1 and pass through the origin.
b: These lines all have the same slope. They are parallel.
c: All three lines have a slope less than 1 and pass through the origin.
d: These are all the same line.
e: All of these lines intersect at the point (2, -2).
_____
<em>Comment on the graphs</em>
The number of attachments allowed here is limited, so some graphs have been combined. Where there are 3 lines, the first is red, the second is blue, the third is green.
Graphs for (a) and (c) appear on the same page. The graphs for (c) are shown as dashed lines.
Graphs for (b) and (d) appear on the same page. The graph for (d) is shown in orange (as a dashed line). All threee lines look exactly like this.
_____
<em>Comment on the graphing program</em>
These are graphed using the Desmos on-line graphing calculator. It has a tutorial available and is not difficult to learn for most simple graphing applications. (It prefers the variables x and y.) Graphs can be saved for later. (Here, screen shots are used because Brainly doesn't like external links.)
<h2>1.
The "required option c) 45" is correct.</h2><h2>
2. The value of 8 − 2⋅3 + 7 = 9</h2><h2>
3. The required "option c) 45" is correct.</h2><h2>
4. The required "option a) 40" is correct.</h2><h2>
5. The value of
= 8</h2>
Step-by-step explanation:
1. We have,
+ 20
To find, the value of
+ 20 = ?
∴
+ 20
= 5 × 5 + 20
= 25 + 20
= 45
Thus, the "required option c) 45" is correct.
2. We have,
8 − 2⋅3 + 7
To find, the value of 8 − 2⋅3 + 7 = ?
∴ 8 − 2⋅3 + 7
= 8 - 6 + 7
= 15 - 6
= 9
Thus, the value of 8 − 2⋅3 + 7 = 9
3. We have,

To find, the value of
= ?
∴
= 6 × 6 + 3 × 3
= 36 + 9
= 45
Thus, the required "option c) 45" is correct.
4. We have,

To find, the value of
= ?
∴ 
= 2 × 2 × 2 + 4 × 8
= 8 + 32
= 40
Thus, the value of
= 40
Thus, the required "option a) 40" is correct.
5 . We have,

To find, the value of
= ?
∴ 
= 3 × 3 - 2 × 3 + 5
= 9 - 6 + 5
= 14 - 6
= 8
Thus, the value of
= 8