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nirvana33 [79]
3 years ago
11

What is the end behavior of the polynomial function?

Mathematics
1 answer:
NeTakaya3 years ago
6 0
The degree and the leading coefficient of a polynomial function determine the end behavior of a graph. The end behavior of a polynomial function is the behavior of the graph of f (x) as x approaches positive infinity or negative infinity.
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Use the figure below. Solve for x
Svetllana [295]

Answer:

x = 60 degrees

Step-by-step explanation:

we know x+(2x)=180

so, then we get 3x=180

x = 180/3

x = 60

5 0
3 years ago
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A train leaves Miami at 3:00 PM. A second train leaves the same city in the same direction at 8:00 PM. The second train travels
Anika [276]

Answer:

The first train travels at 58 mph and the second train travels at 203 mph.

Step-by-step explanation:

The first train left Miami at 3:00 PM.

The second train left Miami at 8:00 PM.

Let the speed of the first train be x.

The second train travels 145 mph faster than the first, that is 145 + x

The second train overtakes the first at 10:00 PM

This means that at 10:00 PM, they were both at the same location.

That is 7 hours after the first train left and 2 hours after the second train left.

Speed is given as:

s = d / t

where d = distance traveled and t = time taken

For the first train, after 7 hours traveling at speed x:

x = d / 7

=> d = 7x _______(1)

For the second train, after 2 hours, traveling at speed 145 + x:

145 + x= d / 2

=> d = 290 + 2x ____(2)

Equating (1) and (2):

7x = 290 + 2x

=> 7x - 2x = 290

5x = 290

=> x = 290/5 = 58 mph

Therefore, the first train travels at 58 mph and the second train travels at 203 mph (58 + 145)

4 0
3 years ago
1. Graph the six terms of a finite series where a1 = 5 and r = 1.25.
rodikova [14]
For the answer to the question above, asking to g<span>raph the six terms of a finite series where a1 = 5 and r = 1.25.
I'll provide the answer with the solutions below.
</span>a1 = 5 
<span>a2 = 5*r = 5*(5/4) = 25/4 </span>
<span>a3 = 5*r² = 5*(5/4)² = 125/16 </span>
<span>a4 = 5*r³ = 5*(5/4)³ = 625/256 </span>
<span>a5 = 5*r⁴ = 5*(5/4)⁴ = 3125/1024
</span>I hope this helps
3 0
3 years ago
Read 2 more answers
A manufacturer of pickup trucks is required to recall all the trucks manufactured in a given year for the repair of possible def
Dafna11 [192]

Answer: Probability of trucks having both defects is 4%.

Step-by-step explanation:

Since we have given that

Probability of trucks having defective brake linings only = 6%

Probability of trucks having defective steering only = 3%

Probability of trucks having neither defect = 87%

Probability of trucks having either defect - 100 - 87 = 13%

Let the probability of trucks having both defects be 'x'.

P(defective brake lining) = P(B) = 0.06+x

P(defective steering) = P(S) = 0.03+x

So, Probability of the trucks having both defects is given by

P(S\cup B)=P(S)+P(B)-P(S\cap B)\\\\0.13=0.03+x+0.06+x-x\\\\0.13-0.03-0.06=2x-x\\\\0.04=x

So, Probability of trucks having both defects is 4%.

4 0
3 years ago
The original price of a plane ticket was reduced by $150.
Zolol [24]
C
price - 150 dollars = discounted price
8 0
4 years ago
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