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Paraphin [41]
3 years ago
9

Which linear inequality is represented by the graph?​

Mathematics
1 answer:
zalisa [80]3 years ago
7 0

Answer:

y ≥ \frac{1}{3}x - 1

Step-by-step explanation:

First, determine the slope of the line. We can see that the slope is \frac{1}{3}, because the slope has less than 1 y interval per every x interval. This means that the line is less steep. There are only 2 slope choices, \frac{1}{3}, -\frac{1}{3}\\, and 3. We can tell that the slope is positive, but it must be \frac{1}{3}\\ because it is clearly less steep than a 3 slope line.

Now, look at the portion that is shaded. It is above the line, and this means that y is greater than the equation given. We can tell it is greater than or equal to, because the line that represents the equation is shaded as well. If it was only greater than and not equal to, the line would not be shaded.

Hope this helps ! :) Please feel free to ask me any questions!

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The graph shows two lines, A and B.
miss Akunina [59]
Part A: As we have learned when given a pair of equations, we must always find a Point of Intersection....or, in other words...the solution of the lines given to us. As we know there can be one solution, in this case we view the graph; see where they intersect, and realize that the solution to these lines (Point of Intersection) is at (4,4).

Thus, your answer.
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3 years ago
Read 2 more answers
Angelina wins money in a competition. She is given the choice as to how she is paid.
NISA [10]

Answer:

  • Choice 1
  • 20 days

Step-by-step explanation:

You are being asked to compare the value of a growing infinite geometric series to a fixed constant. Such a series will always eventually have a sum that exceeds any given fixed constant.

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<h3>a)</h3>

Angelina will get more money from the Choice 1 method of payment. The sequence of payments is a (growing) geometric sequence, so the payments and their sum will eventually exceed the alternative.

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<h3>c)</h3>

For a first term of 1 and a common ratio of 2, the sum of n terms of the geometric series is given by ...

  Sn = a1×(r^n -1)/(r -1) . . . . . . . . . . series with first term a1, common ratio r

We want to find n such that ...

  Sn ≥ 1,000,000

  1 × (2^n -1)/(2 -1) ≥ 1,000,000

  2^n ≥ 1,000,001 . . . . add 1

  n ≥ log(1,000,001)/log(2) . . . . . take the base-2 logarithm

  n ≥ 19.93

The total Angelina receives from Choice 1 will exceed $1,000,000 after 20 days.

8 0
2 years ago
Why do you need to change the signs in -x^2+6x+m=0 ?
Goshia [24]

Answer:

It isn't necessary but having a positive coefficient for x^2 makes things like completing the square and factoring easier.

3 0
3 years ago
all unicorns on rainbow island are either green or yellow. every time the clock strikes midnight the unicorns change their color
Oksi-84 [34.3K]

77 unicorns, because yesterday the ratio was 6:5 and today it is 3:4. If you add the numbers for both ratios together, you get 11 and 7. Finding the LCM of these two gives 77 (because 7 and 11 are both prime).

You find the LCM of the sums because when you find values based on ratios, you divide value by the sum of the ratio.

e.g. I have 100 fruits. The ratio of apples to oranges is 2:3. How many apples are there?

To solve this you'd add 2 and 3 (5), divide 100 by 5 (20), multiply that by 2 (40) because that's the ratio of apples to oranges.

In this case, you do the reverse. So If I have 77 unicorns, then yesterday there were (77/11 = 7, 7*6= 42, 7*5= 35) 42 green unicorns and 35 yellow. The sum of 42 and 35 is 77. If you do this process with the other ratio you'll get similar results as well.

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3 years ago
What the percent increase from 18 to 26
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26-18=8. 8/18=4/9=44.444 (repeating)%
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