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SSSSS [86.1K]
3 years ago
11

What is the solution set of the inequality x5 + x4 - 6x3 + x2 + x - 6 ≥ 0?

Mathematics
1 answer:
Ainat [17]3 years ago
6 0
The answer is C

because:
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What is value of this expression below when y=3<br> 8y^2-y-8
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A waitress sold 12 ribeye steak dinners and 39 grilled salmon totaling $575.53 on a particular day. Another day she sold 25 ribe
Talja [164]

Answer:

cost of ribeye steak dinners = $10.36

cost of grilled salmon= $11.581

Step-by-step explanation:

Let the cost of one steak dinners be x

Let the cost of one  grilled salmon be y

One a particular day the waitress sells  12 ribeye steak dinners and 39 grilled salmon for a total is $575.53 which can be written in equation as

12(x)+39(y)= $575.53-------------------------------------(1)

On another day she sells  25 ribeye steak dinners and 13 grilled salmon dinners  totals to $582.43.This can be represented  as

25(x)+ 13(y)= $582.43-------------------------------------(2)

solving the equation (1) and (2)

eq(1) x 112x+39y= 575.53

eq(2) x 3125x+ 39y= 1747.29-------------------------(3)

Subtracting these equation we get,

113x=1171.76

x=\frac{1171.76}{113}

x= 10.36

Now  substituting this in equation (1)

12(10.36)+39(y)= $575.53

123.84+39y=575.53

39y=575.53 - 123.84

y=\frac{451.69}{39}

y=11.581

7 0
3 years ago
Find the values of the trigonometric functions of θ from the information given.
OLga [1]

Answer:

  • sin(θ) = -(4√15)/17
  • cos(θ) = 7/17 . . . . . . . given
  • tan(θ) = -(4√15)/7
  • csc(θ) = -(17√15)/60
  • sec(θ) = 17/7
  • cot(θ) = -(7√15)/60

Step-by-step explanation:

The relationship between sine and cosine is ...

  sin² + cos² = 1

Solving for sine gives ...

  sin = ±√(1 -cos²)

In this problem, we want the negative root.

  sin(θ) = -√(1 -(7/17)²) = -√(240/289) = -(4√15)/17

  tan(θ) = sin(θ)/cos(θ) = ((-4√15)/17)/(7/17) = -(4√15)/7

___

And the inverse functions are ...

  sec(θ) = 1/cos(θ) = 17/7

  csc(θ) = 1/sin(θ) = -17/(4√15) = -(17√15)/60

  cot(θ) = 1/tan(θ) = -(7√15)/60

_____

Of course, you're aware that 1/√15 = (√15)/15.

3 0
3 years ago
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