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MAVERICK [17]
3 years ago
5

The product of two consecutive integers is equal to 14 more than 4 times the sum. This can be simplified to x²-7x-18=0. What are

the two integers?
Mathematics
1 answer:
WITCHER [35]3 years ago
7 0

Answer:

-1 and -2, or 9 and 10

Step-by-step explanation:

If x is the smaller integer:

x (x + 1) = 14 + 4 (x + x + 1)

x² + x = 14 + 4 (2x + 1)

x² + x = 14 + 8x + 4

x² − 7x − 18 = 0

Factor using AC method:

(x − 9) (x + 2) = 0

x = -2 or 9

x is the smaller integer, so the larger integers are -1 and 10.  Check each pair of solutions.

-1 and -2:

(-2) (-1) = 14 + 4 (-2 + -1)

2 = 14 + 4 (-3)

2 = 2

9 and 10:

(9) (10) = 14 + 4 (9 + 10)

90 = 14 + 4 (19)

90 = 90

Both solutions work.

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Okay so.
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5 0
3 years ago
Consider the following dot plots.
motikmotik
The <u>correct answer</u> is:

A) The medians are both between 10 and 14 emails.

Explanation:

The <u>mode </u>is the easiest measure to find of a data set.
The <u>mode </u>of a data set is the data value that appears the most often.  In plot A, there are 3 dots at 10 and 3 dots at 15; this means the modes are 10 and 15.

In plot B, there are 3 dots at 5 and 3 dots at 15; this means the modes are 5 and 15.

They <u>do not have the same modes</u>.

The <u>median </u>of a data set is the middle value.  There are 10 dots in each dot plot; this means the medians will each be between two data points.

For plot A, we can see that the middle value is between 10 and 15.  
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8 0
3 years ago
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cupoosta [38]

You want to isolate the x-term from the constant term, so you can subtract x/3 and add 10. This gives you

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Now, you can multiply by 9 to see the condition on x.

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... x > -18


On the x-y plane, the graph of this will be a dashed line at x=-18, and the half-plane to the right of that line will be shaded.


On a number line, there will be an open circle at x=-18, and the number line to the right of that circle will be marked (bold, colored, shaded, whatever).

4 0
3 years ago
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photoshop1234 [79]

Answer:

There is sufficient evidence at the 0.05 level

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Null hypothesis ; H0 : p = 0.47

Alternative hypothesis : H1 : p ≠ 0.47

5 0
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