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melamori03 [73]
3 years ago
9

Please solve this and show how you did. Thanks!!

Mathematics
1 answer:
kolbaska11 [484]3 years ago
5 0
4x+6<-6
-6 -6
-------------
4x<-12

Then you divide 4x on both sides so 4x divided by 4x and -12 divided by 4x. When dividing this the 4 isnt a negative so you dont flip the "<" so it stays the same. The answer would be x<-3
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Let F(s) 1.1s + 0.03s2 represent the stopping distance (in feet) of a car travelling at s miles per hour. Calculate F(60) and es
Alinara [238K]

Answer:

F(60) = 3666 feet

Estimated Increase in Stopping Distance: 123.1 feet

Actual Increase in Stopping Distance: 122.1 feet

The cost of producing 3000 bagels is $1036.5

The Estimated cost of the 3001st bagel is $1036.736.

The actual cost of the 3001 st bagel is  $1036.737.

Step-by-step explanation:

F(s) = 1.1s + s²

F(60) = 1.1(60) + (60)²

         = 66 + 3600

F(60) = 3666 feet

To find the estimate increase in stopping distance, differentiate the function  to get F'(s) and then find F'(61)

F'(s) = \frac{dF(s)}{ds} = 1.1 + 2s

F'(61) = 1.1 + 2(61)

F'(61) = 123.1 feet

If speed is increased from 60 to 61, we can find the actual increase by finding F(61) and then subtracting F(60) from it.

F(61) = 1.1(61) + (61)²

F(61) = 3788.1 feet

Increase = 3788.1 - 3666

Increase = 122.1 feet

F(60) = 3666 feet

Estimated Increase in Stopping Distance: 123.1 feet

Actual Increase in Stopping Distance: 122.1 feet

C(x) =  300 + 0.25x - 0.5 (\frac{x}{1000})³

C(3000) = 300 + 0.25(3000) - 0.5 (3000/1000)³

             = 300 + 750 - 13.5

C(3000) = $1036.5

The cost of producing 3000 bagels is $1036.5

To estimate the cost of the 3001st bagel, we need to differentiate the function and then find the increase in price at the 3001st bagel. The answer then needs to be added to C(3000). So,

C'(x) = 0.25 - 0.5*3 (x/1000)²/1000

C'(3001) = 0.25 - 0.5*3 (3001/1000)²/1000

C'(3001) = 0.236

C(3001) = C(3000) + C'(3001)

            = 1036.5 + 0.236

C(3001) = $1036.736

The Estimated cost of the 3001st bagel is $1036.736.

C(3001) = 300 + 0.25(3001) - 0.5(3001/1000)³

             = 300 + 750.25 - 13.5135

C(3001) = $1036.737

The actual cost of the 3001 st bagel is  $1036.737.

5 0
3 years ago
If c (x) = 4x – 2 and d(x) = x2 + 5x, what is (cd) (x)
jolli1 [7]

c(x) = 4x - 2

d(x) = x^2 + 5x

4x - 2(x^2 + 5x)

<em><u>Using FOIL, distribute each term appropriately. </u></em>

4x^3 + 20x^2 - 2x^2 - 10x

<em><u>Combine like terms.</u></em>

4x^3 + 18x^2 - 10x is the simplified polynomials achieved when c(x) and d(x) are multiplied.

3 0
3 years ago
Write and solve an equation to find the value of x and the missing angle measures.
Oksana_A [137]

Answer:

Step-by-step explanation:

1). Since, both the angles are vertically opposite angles,

  Measure of both the angles will be same.

  6x = 30

   x = 5

2). Since, both the angles are the linear pair of angles,

   (4 + 5x)° + (x + 2)° = 180°

    6x + 6 = 180

    6x = 180 - 6

    x = \frac{174}{6}

    x = 29

    Therefore, (4 + 5x)° = 4 + 5(29)

                                     = 149°

    And (x + 2)° = (29 + 2)

                        = 31°

3). Since, both the angles are linear pair of angles,

    5x° + (3x + 12)° = 180°

    8x + 12 = 180

    8x = 180 - 12

    x = \frac{168}{8}

    x = 21

    Therefore, 5x° = 5(21)

                             = 105°

    (3x + 12)° = 3(21) + 12

                    = 75°

8 0
3 years ago
Susan buys 6 paint sets each set contains the same number of brushes she buys 18 brushes how many brushes are in each paint set
alex41 [277]

Answer:

The answer is 3

Step-by-step explanation

If you set the problem if this 6*   =18 you can plug in number until you get the right answer

3 0
3 years ago
What is the minimum value of C = 7x + 8y, given the constraints: 2x + y ≥ 8, x + y ≥ 6, x ≥ 0, y ≥ 0. A. 32 B. 42 C. 46 D. 64
marshall27 [118]

Answer: The minimum value of C is 46.

Step-by-step explanation:

Since, Here, We have to find out Min C = 7x+8y

Given the constraints are 2x+y\geq 8 -------(1)

x+y \geq 6   ------------- (2)

x \geq 0, y \geq 0  -------- (3)

Since, For equation 1) x-intercept, (4, 0) and y-intercept (0,8)

And, 2\times 0+0\geq 8⇒0\geq 8 ( false)

Therefore the area of line 1) does not contain the origin.

For equation 2) x-intercept, (6, 0) and y-intercept (0,6)

And, 0+0\geq 6⇒0\geq 6 ( false)

Therefore the area of line 2) does not contain the origin.

Thus after plotting the constraints 1) 2) and 3) we get Open Shaded feasible region AEB ( Shown in below graph)

At A≡(0,8) , C= 64

At E≡(2,4),  C= 46

At B≡(6,0),  C= 42

Thus at B, C is minimum, And its minimum value = 42


5 0
3 years ago
Read 2 more answers
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