I believe the correct answer is C
5.5x + 3 = y
7x =y
5.5x + 3 = 7x (-5.5x both sides)
3 = 1.5x (÷1.5 both sides)
X = 2
Michael takes two hours
<span>bar graph are good for frequencies.</span>
Answer:
Simplify the denominator.
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x
(
x
+
3
)
(
x
−
3
)
⋅
3
x
x
2
−
5
x
+
6
Factor
x
2
−
5
x
+
6
using the AC method.
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x
(
x
+
3
)
(
x
−
3
)
⋅
3
x
(
x
−
3
)
(
x
−
2
)
Finding the LCD of a list of values is the same as finding the LCM of the denominators of those values.
(
x
+
3
)
(
x
−
3
)
,
(
x
−
3
)
(
x
−
2
)
The LCM is the smallest positive number that all of the numbers divide into evenly.
1. List the prime factors of each number.
2. Multiply each factor the greatest number of times it occurs in either number.
The number
1
is not a prime number because it only has one positive factor, which is itself.
Not prime
The LCM of
1
,
1
is the result of multiplying all prime factors the greatest number of times they occur in either number.
1
The factor for
x
+
3
is
x
+
3
itself.
(
x
+
3
)
=
x
+
3
(
x
+
3
)
occurs
1
time.
The factor for
x
−
3
is
x
−
3
itself.
(
x
−
3
)
=
x
−
3
(
x
−
3
)
occurs
1
time.
The factor for
x
−
2
is
x
−
2
itself.
(
x
−
2
)
=
x
−
2
(
x
−
2
)
occurs
1
time.
The LCM of
x
+
3
,
x
−
3
,
x
−
3
,
x
−
2
is the result of multiplying all factors the greatest number of times they occur in either term.
(
x
+
3
)
(
x
−
3
)
(
x
−
2
)
Step-by-step explanation:
there does that help
Answer:
5x² - 10x - 15 = 0
Step-by-step explanation:
Given that the roots are x = 3 and x = - 1, then the factors are
(x - 3) and (x + 1) and the quadratic is the product of the factors, that is
f(x) = a(x - 3)(x + 1) ← a is a multiplier
Here a = 5, thus
f(x) = 5(x - 3)(x + 1) ← expand factors using FOIL
= 5(x² - 2x - 3) ← distribute parenthesis by 5
= 5x² - 10x - 15
Thus equation is
5x² - 10x - 15 = 0