Answer:
(5 - y) ^3 = 125 - 75y + 15y^2 - y^3
Step-by-step explanation:
Binomial expression
1
1. 1
1. 2. 1
1. 3. 3. 1 --------power of 3
( 5 - y) ^3
( 5 - y) (5 - y) (5 - y)
( a + b) ^3 = a^3 + 3a^2b + 3ab^2 + b^3
a = 5
b = -y
( 5 - y) ^2 = ( 5 - y) (5 - y)
= 5( 5 - y) - y(5 - y)
= 25 - 5y - 5y + y^2
=(25-10y+y^2)
( 25 - 10y + y^2)( 5 - y)
= 5(25 - 10y + y^2) - y( 25 - 10y + y^2)
= 125 - 50y + 5y^2 - 25y + 10y^2 - y^3
Collect the like terms
= 125 - 50y - 25y + 5y^2 + 10y^2 - y^3
= 125 - 75y + 15y^2 - y^3
Answer:
The amplitude of the function is 48
The period of the function is 28
The graph has a vertical shift of 48 units.
Step-by-step explanation:
just took the quiz
Answer:
B and D
7/12 cups
Step-by-step explanation:
2 1/3 + 2 1/4 = cups of flour needed
4 = cups of flour had
2 1/3 + 2 1/4
To have the same denominator, we take the lcm
2 + 2 + (4/12 + 3/12) =
2 4/12 + 2 3/12 - 4
Or
2 + 2 + (3 + 4) / 12 - 4
2 + 2 + (3 + 4) / 12 - 4 = 4 7/12 - 4
4 7/12 - 4 = 7/12 cups of flour needed
Isolate the x in both cases. What you do to one side, you do to the other.
11x + 4 < 15
Subtract 4 from both sides
11x + 4 (-4) < 15 (-4)
11x < 11
isolate the x, divide 11 from both sides
11x/11 < 11/11
x< 1
x < 1 is your answer for the first one
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Again, isolate the x.
12x - 7 > -25
Add 7 to both sides
12x - 7 (+7) > -25 (+7)
12x > -18
Isolate the x, divide 12 from both sides
12x/12 > -18/12
x > -1.5 is your answer for the second one.
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hope this helps
Answer: Domain of the function represented in the graph is given by he inequality . 2 <_ x _< 10
Step-by-step explanation:
we know that
Observing the graph
The domain is the quantity of yellow paint in millimeters
The domain is the interval -----> [2,10]
All real numbers greater than or equal to 2 and less than or equal to 10
therefore 2 <_ x _< 10
my bad I couldn't put the line under the sign
