The solution set for the inequality expression is (-∞, -6)
<h3>Solving inequalities</h3>
Inequality are expressions that does not involve an equality sign.
Given the following parameters
-3x + 3 > -21
Subtract 3 from both sides
-3x + 3 - 3 > 21 - 3
-3x > 18
Divide both sides by -3
-3x/-3 < 18/-3
x < -6
Hence the solution set for the inequality expression is (-∞, -6)
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Answer:
The general rule for the nth term of this sequence will be:
Step-by-step explanation:
Given the sequence
12a, 15a, 18a, 21a, 24a,...
An arithmetic sequence has a constant difference 'd' and is defined by
Here,
a₁ = 12a
computing the differences of all the adjacent terms
d = 15a-12a = 3a, d = 18a-15a=3a, d=21a-18a=3a, d=24a-21a=3a
using the nth term formula
substituting a₁ = 12a, d = 3a
Therefore, the general rule for the nth term of this sequence will be:
You can see that the answers(y) of f(x) were Subtracted by a factor of 2 to make the answers(y) of g(x).
example: 9-2=7 81-2=79
when a number is added to or subtracted from a function the graph will make a horizonal or vertical shift. therefore C. is correct
Answer:
6. Bacteria tend to grow very fast in a petri dish at first because of unlimited food and then begin to die out due
to competition. In a certain culture, the number of bacteria is givenby N(f) =1f +92t+.625' where /
represents the hours since 625 bac,teriawere introduced to the Petri dish. Determine the *={TlgX9"t
of bacteria that occur in the dish.
Step-by-step explanation:
t= -92/-2(2) =23
N (23) power 2 +92(23) + 625 =1628
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<h3>
ANSWER..✒</h3>
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2f + 14 3 + 7f - 10 5.
Simplify:
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