The domain is the scope of the x values. In this case (-2,-1) is a hole, so x>-2 is one end of the domain, while (3,3) is defined. So the domain using interval notation is (-2,3] which can also be expressed -2 < x ≤ 3, answer option 1
Answer:
5x - 2y = -2
Step-by-step explanation:
When subtracting one equation from the other, we are essentially just subtracting the left side of the second equation from the left side of the first equation and doing the same thing with the two right sides.
Here, we are subtracting (-7x + 3y) from (-2x + y):
(-2x + y) - (-7x + 3y)
Let's get rid of these parentheses. Remember that when we have a subtraction sign before a parentheses, we need to distribute a -1 to each term within those parentheses:
(-2x + y) - (-7x + 3y) = -2x + y + 7x - 3y = -2x + 7x + y - 3y = 5x - 2y
Now on the right side, we're subtracting 2 from 0:
0 - 2 = -2
Put it all together:
5x - 2y = -2
Hope this helps!
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:
Equivalent factions
Step-by-step explanation:
Steps to simplifying fractions
Find the GCD (or HCF) of numerator and denominator
GCD of 89 and 56 is 1
Divide both the numerator and denominator by the GCD
89 ÷ 1
56 ÷ 1
Reduced fraction:
89
56
Equivalent fractions: 178/112 267/168 445/280 623/392
More fractions: 178/56 89/112 267/56 89/168 445/56 89/280 623/56 89/392
Answer:
Step-by-step explanation:
