Because a line always goes past the y-intercept and x-intercept. It's not always both, it can sometimes just be the x-intercept or the y-intercept.
When a line intersects these points, for example if a line was to intersect the x-axis then y would be equal to 0, and the opposite for the y-axis. If a line was to intersect the y-axis x would be equal to 0.
Therefore by using that knowledge, and the equation of the line [ y=mx+c or y-y1=m(x-x1) ], we can find the equation of our line. Of course you would need the gradient of that line (the value "m").
The geometric series is convergent and the value is 16.
<h3>How to illustrate the information?</h3>
Recall that the sum of an infinite geometric series, S, given first term, t_1, and common ratio, r, is given by:
S = t_1/(1 - r)
Note that:
3 = (4)(3/4)
9/4 = (3)(3/4)
27/16 = (9/4)(3/4)
So this a geometric series with t_1 = 4 and r = 3/4. Therefore:
4 + 3 + 9/4 + 27/16 + ... = 4/(1 - 3/4) = 4/(1/4) = 16
The correct option is 16.
Learn more about geometric series on:
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Determine whether the geometric series is convergent or divergent. If it is convergent, find its sum
4+3+ 9/4 +27/16 +???
choices are
1. 3/4
2. 12
3. 4
4. divergent
5. 16
Answer:
44
Step-by-step explanation:
Parenthesis
Exponents
Multiply
Divide
Add
Subtract
First we need to do the work inside the parenthesis that are in the boxed parenthesis
3 + 1 = 4
4 * 5 = 20
Now we multiply
20 * 2 = 40
Now we add
40 + 4 = 44
Best Of Luck,
- I.A. -
Answer:
12
Step-by-step explanation:
12 doesn't fit the data because it is so much farther from the general average of the others.
12 affects the median because with it, the median is 74. but without 12, the median is 76.
12 affects the mean because with it, the mean is 68.36. but without 12, the mean is 72.69.
Answer:
24 sets
Step-by-step explanation:
Carey, the music reporter for her high school newspaper, is writing an article about this year's school musical. Carey wants to interview one male and one female cast member, and there are 4 boys and 3 girls in the musical this year. Carey also wants to interview one of the 2 students working backstage on the tech crew. Therefore, there can be 24 different sets of people that Carey can interview.
4 boys x 3 girls = 12 people
12 people x 2 students working = 24