Divide the expression by the factor y^-5
y^-5(1 - 3y^2)
Answer:
1.3333333333333 in between 1 and 2
Step-by-step explanation:
Do long division
16/12=1 remainder 4
40/12=3 remainder 4
answer is 1. followed by infinite 3's
A number with a decimal is in between the next whole number and the whole number itself.
Answer:
- max for 5th-degree: 4 turns. This function: 2 turns.
- max for 7th-degree: 6 turns. This function: 0 turns.
Step-by-step explanation:
In general, the graph of an n-th degree function can make n-1 turns. However, in specific cases, the number of turns is limited by the number of real zero-crossings of the derivative.
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1. This 5th-degree function can have at most 4 turns. However, the derivative, f'(x) = 5x^4 -3, has only two (2) real zeros. Hence the graph of this function can only have 2 turns.
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2. This 7th-degree function can have at most 6 turns. However, the derivative, f'(x) = -7x^6 -35x^4-12x^2, has an even-multiplicity root at x=0 only. The derivative never crosses 0. Hence the graph makes no turns.
Her situation can be modeled by the linear equation (in standard form):
x*$0.25 + y*$0.79 = $2.50
<h3>How to write the equation that represents her situation?</h3>
The variables that we will use here are:
x = number of apples that she can buy.
y = number of bananas that she can buy.
We know that she has $2.50 to spend, that each apple costs $0.25 and each banana costs $0.79, then the cost of the x apples and y bananas is:
x*$0.25 + y*$0.79
and that must be equal to the amount she has to spend, then we can write the linear equation:
x*$0.25 + y*$0.79 = $2.50
That is the linear equation in standard form that represents her situation.
Learn more about linear equations:
brainly.com/question/1884491
#SPJ1
To make this a little easier, you would want to turn 3/4 into 9/12, to match 5/12's denominator.
You would then just add 7/1 to both fractions
(5/12+7/1=12/12 or 1 minutes)
(9/12+7/1=16/12=1 1/3)
So your answer would be 1.333... miles per minute
Hope this helps
