Answer:
the correct answer is number 2
Step-by-step explanation:
X3 - 4x - 16x-24
Answer:
h(x) = 4·log₃(x) +2
Step-by-step explanation:
<h3>Part A:</h3>
h(x) = f(x) +g(x)
h(x) = (log₃(x) +3) +(log₃(x³) -1)
h(x) = log₃(x) +3·log₃(x) +2
h(x) = 4·log₃(x) +2 . . . . . "simplest" form
h(x) = log₃(9x⁴) . . . . . . . as a single logarithm
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<h3>Part B:</h3>
No system of equations is given. Perhaps you want to find x for f(x) = g(x).
log₃(x) +3 = log₃(x³) -1
log₃(x) +3 = 3·log₃(x) -1
4 = 2·log₃(x) . . . . . . . . . . . add 1-log₃(x)
2 = log₃(x) . . . . . . . . . . . . divide by 2
3² = x = 9 . . . . . . . . . . . . . take the antilog
The solution to f(x) = g(x) is x = 9.
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<em>Additional comment</em>
The relevant rules of logarithms are ...
a = log₃(b) ⇔ 3^a = b
log(a^b) = b·log(a)
log(ab) = log(a) +log(b)
The variable is h and t
the terms is 7h+3-t
the coefficients is 7
Answer:
3 bags
Step-by-step explanation:
Suppose there are
x
bags of candy.
If the
33
blue gumballs are to be split evenly with no leftovers among the
x
bags, then
x
must divide evenly into
33
.
If the
24
green gumballs are to be split evenly with no leftovers among the
x
bags, then
x
must divide evenly into
24
.
To get the largest number of bags (
x
),
x
must be the Greatest Common Divisor of
33
and
24
Factoring:
33
=
3
×
8
24
=
2
×
2
×
2
×
3
The only common factor is
3
and therefore the product of the common factors is
3
or, in other words,
the Greatest Common Factor is
x
=
3
The answer is 7/8. when converted into decimal , it becomes 0.8 something which is greater than all and so farthest from 0