The answer is: The second one. Why?
Because, when it's a linear graph, the slope of the graph cannot change.
And that's the only graph that fits the criteria
Hope this helped! c:
Answer:
3x + 30
Step-by-step explanation:

3x + 30 would be an equivalent expression.
Hope this helps.
Answer:
And rounded up we have that n=421
Step-by-step explanation:
We know that the sample proportion have the following distribution:

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 90% of confidence, our significance level would be given by
and
. And the critical value would be given by:
The margin of error for the proportion interval is given by this formula:
(a)
And on this case we have that
and we are interested in order to find the value of n, if we solve n from equation (a) we got:
(b)
We assume that a prior estimation for p would be
since we don't have any other info provided. And replacing into equation (b) the values from part a we got:
And rounded up we have that n=421
Answer:
Let x and y be the two numbers. Then
yx=57 and x−y=20
Cross multiplying the proportion
5x=7y or y=75x
So, x−y=20
x−75x=20⇒77x−5x=72x=20
⇒x=2140=70
y=75x=75×70=50
So smaller number is 50.
Check :yx=5070=57 and 70−50=20
The steps 5 and 6 in the construction of a new line segment ensures the lengths are equal.
A line segment in geometry has two different points on it that define its boundaries. Alternatively, we may define a line segment as a section of a line that joins two points.
Below are the steps for copying a line segment:
- 1. Let's begin with a line segment we need to copy, AB.
- 2. we take a point C at this stage. That will be one endpoint of the new line section, either below or above AB.
- 3. Now we place the the compass pointer on the point A of line segment AB.
- 4. We spread the compass out until point B, making sure that its breadth corresponds to the length of AB.
- 5. We place the compass tip on the point C created in step 2 without adjusting the compass's width.
- 6. We now draw a rough arc without adjusting the compass's settings. we add a point D oh the arc . The new line segment will be formed by this.
- 7. From C, draw a line to D;CD thus formed is equal to AB.
Hence steps 5 and 6 are the steps in the construction of a new line segment which ensures the lengths are equal.
To learn more about line segment visit:
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