X=13, Subtract 9, And add 6 and 19 To both sides. then Divide by three
Answer:
Undefined or original dividend
Step-by-step explanation:
Anything divided by zero is undefined or the original dividend
If you have 8 items and you split them into zero groups you have nothing
The solution to the compound inequality given as: 1.25a+3>0.5a-6 and 2.5a-1>=9-1.5a is a > -12 and a>= 2.5
<h3>How to determine the solution to the
compound inequality?</h3>
The compound inequality is given as:
1.25a+3>0.5a-6 and 2.5a-1>=9-1.5a
Rewrite the compound inequality properly as follows
1.25a + 3 >0.5a - 6 and 2.5a - 1 >= 9 - 1.5a
Collect the like terms in the above compound inequality
1.25a - 0.5a > -3- 6 and 2.5a + 1.5a >= 9 + 1
Evaluate the like terms in the above compound inequality
0.75a > -9 and 4a>= 10
Divide both sides by the coefficient of the variable term in the above compound inequality
a > -12 and a>= 2.5
Hence, the solution to the compound inequality given as: 1.25a+3>0.5a-6 and 2.5a-1>=9-1.5a is a > -12 and a>= 2.5
Read more about inequality at:
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Let a = Adult tickets, s = Student tickets; we are going to set up a system of equations.
8a + 4s = 880
a - s = 20
We are going to multiply the second equation by so that we can cancel out one of the variables and solve for the other. This gives you:
8a + 4s = 880
4a - 4s = 20
Notice the s-variables will cancel:
12a = 900
a = 75
Now we plug in the amount of adult tickets to solve for the student ones.
75 - s = 20
- s = - 55
Divide both sides by - 1
s = 55.
There were 55 student tickets sold and 75 adult tickets.
Write <em>z</em> in polar form:
<em>z</em> = 1 + √3 <em>i</em> = 2 exp(<em>i</em> <em>π</em>/3)
Taking the square root gives two possible complex numbers,
√<em>z</em> = √2 exp(<em>i</em> (<em>π</em>/3 + 2<em>kπ</em>)/2)
with <em>k</em> = 0 and <em>k</em> = 1, so that
√<em>z</em> = √2 exp(<em>i</em> <em>π</em>/6) = √(3/2) + √(1/2) <em>i</em>
and
√<em>z</em> = √2 exp(<em>i</em> 7<em>π</em>/6) = -√(3/2) - √(1/2) <em>i</em>
