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Elenna [48]
4 years ago
14

How do larger multiplicities affect the graph of the polynomial

Mathematics
1 answer:
valentina_108 [34]4 years ago
7 0
-multiplicity: the number of times a particular number is a zero for a given polynomial
-affects shape of graph
-odd multiplicity: crosses x axis at root
-even multiplicity: touches x axis at root but doesn't cross it
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It took every 55 minutes to run a 10-meter race last weekend. If you know that 1 kilometer equals 0.621 mile, how many minutes d
Umnica [9.8K]
Velocity=distance/time
Data:distance=10 Km=10 km*(0.621 miles/1 km)=6.21 miles.time=55 minutes
Velocity=6.21 miles/55 minutes=0.11290909... miles/minute≈0.113 miles/ minute
Data: distance=1 mile.velocity=0.113 miles/minute
time=distance /velocitytime=(1 mile) / (0.113 miles/ minute)=8.85668... minutes≈8.86 minutes. 
Answer: D 8.86 minutes. 


7 0
4 years ago
What is the correct answer to 19x+rx=−37x+w
pickupchik [31]
Get all the x terms on one side, and the w on the other.
Add 37x on both sides to get 56x+rx=w.
Use the distributive property backwards to get x(56+r)=w.
Divide by 56+r on both sides to get x=w/(56+r)
4 0
3 years ago
Angel wants to take out a loan of $9,000 with interest that
Damm [24]

Answer:

A) 2 years at 7% interest

Step-by-step explanation:

You have to use the formula to calculate the amount after a certain period of time with compound interest and that formula would be (The formula in the statement appears to be incomplete as it doesn't have the interest rate):

A=P(1+r/n)^nt, where

A= amount after time has passed

P= Principal

r= Rate expressed as a decimal

n= Number of times in a year that interest is compounded

t= Time in years

A) 2 years at 7% interest

A=$9,000*(1+0.07/12)^12*2

A=$9,000*1.1498

A=$10,348.2

B) 3 years at 6% interest

A=$9,000*(1+0.06/12)^12*3

A=$9,000*1.19668

A=$10,770.12

C) 4 years at 5% interest

A=$9,000*(1+0.05/12)^12*4

A=$9,000*1.22

A= $10,980

D) 5 years at 4% interest

A=$9,000*(1+0.04/12)^12*5

A=$9,000*1.2209

A=10,988.96

According to this, the loan term that will have the lowest cost is: A) 2 years at 7% interest because it is the one in which Angel would pay less.

3 0
4 years ago
Which pair of rectangular coordinates represents the polar point R on the graph?
Brilliant_brown [7]

Before we can determine the rectangular coordinate of the point, let's determine first its polar coordinates. For this, we need two things: radius and angle.

For the radius, we see that point R is 4 units away from the center.

For the angle, we see that it is 30° clockwise or 330° counterclockwise. See the illustration below:

Now that we know the radius is 4 units and the angle is 330° counterclockwise, let's now convert this to rectangular coordinates.

Use the formula below:

For x-coordinate, we have:

x=rcos\theta\begin{gathered} x=4cos330\degree \\ x=2\sqrt{3} \end{gathered}

For the y-coordinate, we have:

y=rsin\theta\begin{gathered} y=4sin330\degree \\ y=-2 \end{gathered}

Therefore, the rectangular coordinate of the given polar point is (2√3, -2). Option B.

7 0
1 year ago
PLEASE HELP IM STUCK
Artist 52 [7]

{ \qquad\qquad\huge\underline{{\sf Answer}}}

Here we go ~

To get roots of the function, equate it with 0

\qquad \sf  \dashrightarrow \: 4 {x}^{2}  - 36 = 0

\qquad \sf  \dashrightarrow \: 4x {}^{2}  = 36

\qquad \sf  \dashrightarrow \:  {x}^{2}  = 36 \div 4

\qquad \sf  \dashrightarrow \:  {x}^{2}  = 9

\qquad \sf  \dashrightarrow \: x =  \sqrt{9}

\qquad \sf  \dashrightarrow \: x =  \pm3

So, the roots are 3 and -3 ~

6 0
1 year ago
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