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3 years ago

Given the following polynomial find the maximum possible number of turning points. f(x)=x^11+x^10+x^12+x^9

1 answer:

5 0

Turning points are inflection points

think
1st degree (linear) has no turning/inflecion points
2nd degree (quadratic, parabola) has 1 turning/inflection point
so
nth degree has n-1 turning/inflection point

this is 11th degree since highest power is 12
12-1=11
11 turning oints

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to arrive at 2000 liters of 60% saline solution the attendant has to mix a 90% and a 40% saline solution. How many liters of eac

CaHeK987 [17]

Answer:

800 liters of 90% saline solution and 1200 liters of 40% saline solution should be used.

Step-by-step explanation:

Given:

At 2000 liters of 60% saline solution the attendant has to mix a 90% and a 40% saline solution.

Now, to find the number of liters of saline solution each should be used.

Let the liters of 90% saline solution mix be $x.$

And let the liters of 40% saline solution mix be $y.$

So, the total number of liters:

$x+y=2000.$

$y=2000-x\ \ \ ....(1)$

Now, the total percentage of saline solution:

$90\%\ of\ x+40\%\ of\ y=60\%\ of\ 2000$

$\frac{90}{100}\times x+\frac{40}{100}\times y=\frac{60}{100}\times 2000$

$0.9x+0.4y=1200$

Substituting the value of $y$ from equation (1) we get:

$0.9x+0.4(2000-x)=1200$

$0.9x+800-0.4x=1200$

$0.5x+800=1200$

Subtracting both sides by 800 we get:

$0.5x=400$

Dividing both sides by 0.5 we get:

$x=800.$

The liters of 90% saline solution mix = 800.

Now, substituting the value of $x$ in equation (1) to get the liters of 40% saline solution:

$y=2000-x$

$y=2000-800$

$y=1200.$

Thus, the liters of 40% saline solution = 1200.

Therefore, 800 liters of 90% saline solution and 1200 liters of 40% saline solution should be used.

8 0

3 years ago

A jetski rental company charges a $50 deposit, plus $25 per hour to rent a jetski. This can be represented by the formula T = 25

loris [4]

Answer:

None, the answer will be the same

Step-by-step explanation:

4 0

3 years ago

PLEASE HELP!!This is joshs solution for the equation x^2-6x-7=0: x^2-6x-7=0

iren [92.7K]

Answer:

no. see below

Step-by-step explanation:

This much of Josh's working is correct:

x^2-6x=7

x^2-6x+9=7+9

(x-3)^2=16

At this point Josh apparently overlooked the fact that he needed to take the square root of both sides of the equation. Had he done that, he would have ...

x -3 = ±4

x = 3+4 . . . or . . . 3 -4

x = 7 or -1

_____

Josh reported values of x that would match ...

x -3 = ±16

He violated the equal sign by taking the square root on the left, and multiplying by ±1 on the right. Doing different operations on the two sides of the equation will mean the value of x is changed to something other than what you're looking for.

4 0

3 years ago

Ahhhh someone please help, 40 points!

valina [46]

Answer:

ok 2hats the qeustion?

6 0

3 years ago

Read 2 more answers

If a=7 and b+c=67, find a²+ab+ac

Stels [109]

Hope this will help..........