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1 answer:
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Part A
To graph this, we plot open holes at -2 and 3 on the number line. Shade between these open holes to represent values between -2 and 3, but we don't include the endpoints.
See figure 1 below.
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Part B
Solve the first inequality to get
Now solve the second inequality
We have
The graph will have an open hole at -3 and a closed/filled in circle at 1. We shade everywhere but the region between these marked values. The left portion in blue represents stuff smaller than -3; the right portion in red represents values equal to 1 or larger.
See figure 2 below.
Answer:
(Unusual)
Step-by-step explanation:
1/5 for one drawing
1/5 chance to win once, if there is only one game.
Then multiply them together to get 1/25.
If you need in decimal form 1/25 = 0.04 (unusual)
Answer:
The 8th term in the sequence is -128
Step-by-step explanation:
The given series is a geometric progression (G.P) with the starting term as -1.
Let the starting term be a and the common ratio be r.
a = -1
r = 2
The formula for the nth term of a geometric progression (G.P) :
n = 8
Therefore, the 8th term in the sequence is -128
Answer:
see attached
Step-by-step explanation:
No doubt you have examples showing the wording that is expected to be used here. We have made a guess.
power of a ratio: the numerator is raised to the power, as is the denominator. (a/b)^c = (a^c)/(b^c)
power of a product: each factor is raised to the power. (ab)^c = (a^c)(b^c)
power of a power: the powers are multiplied. (a^b)^c = a^(bc)
quotient of powers: the result when one power is divided by another is the difference of the numerator and denominator powers. (a^b)/(a^c) = a^(b-c)
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<em>Additional comment</em>
The order of operations tells you to simplify inside parentheses first. Doing that reduces the work somewhat.
