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valina [46]
2 years ago
12

Let f(x) = - 13x + 12 and g(x)= x² + 2.--Find f(3)/g(3).f(3)/g(3) = (?)(Type an integer or a simplified fraction.)

Mathematics
1 answer:
mel-nik [20]2 years ago
3 0

We have the next two equations:

f(x)=-13x+12

And

g(x)=x^2+2

We need to find f(3)/g(3)

First, let's find f(3):

f(3)\text{ = -13(3)+12 = -27}

Then g(3):

g(3)=(3)^2+2\text{ = 11}

Now, the equation f(3)/g(3) :

\frac{f(3)}{g(3)}=\frac{-27}{11}

-27/11 is the result.

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What would be the total cost, both fixed and variable, at an activity level of 7,100 units? Assume that this level of activity i
monitta

Answer:

TC = $971,919

Step-by-step explanation:

Given complete question is as follows:

" Cooke Corporation reports that at an activity level of 7,000 units, the total variable cost is $590,730, and the total fixed cost is $372,750.

What would be the total cost, both fixed and variable, at an activity level of 7,100 units? Assume that this level of activity is within the relevant range."

Solution:

- The total cost (TC) is the sum of the fixed cost (FC) and variable cost (VC):

                                        TC = FC + VC

- The fixed cost remains constant at every unit level i.e [email protected],000 = [email protected],100 = $372,750.

- The variable cost VC is a linear function of number of units. The marginal variable cost (MVC) is:

                                        MVC = VC / numbe of units

                                        MVC = 590,730 / 7000

                                        MVC = $84.39/units

- The VC cost @7,100 units is as follows:

                                        [email protected],100 = [email protected],000 + MVC*( 7,100 - 7,000)

                                        [email protected],100 = $590,730 +  $84.39/units*( 100 )

                                        [email protected],100 = $590,730 +  $8439

                                        [email protected],100 = $599,169

- The total cost for 7,100 units is:

                                        TC = FC + VC

                                        TC = $372,750 + $599,169

                                        TC = $971,919

6 0
3 years ago
What is the sum of the first 6 terms of this geometric sequence? –5, 10, –20, 40, …
yKpoI14uk [10]
-60 80 I think that's right I'm not for sure
6 0
3 years ago
What are some examples of Adjacent Congruent Angles.
Anastasy [175]

Answer:

  • base angles of an isosceles triangle
  • angles at successive corners of any regular polygon
  • angles either side of an angle bisector
  • angles made by a perpendicular to a line (excluding vertical angles)

Step-by-step explanation:

When it comes to angles, the term "adjacent" means different things in different contexts. Any pair of angles in a triangle are considered to be adjacent. The base angles of an isosceles triangle are adjacent congruent angles.

Angles at successive corners of any regular polygon are congruent adjacent angles.

Angle that have a common vertex and a common side are also called adjacent angles. Angles on either side of an angle bisector are adjacent congruent angles. Likewise any non-vertical pair of angles where lines cross at right angles are adjacent congruent angles.

3 0
3 years ago
A drama teacher has a budget of $120 to spend on materials to create costumes for a play. She can buy 1 square yard of white mat
Neporo4naja [7]

Inequalities are used to relate unequal expressions

The greatest whole number of square yards the teacher can buy is 4

The inequality is given as:

8x + 10y \le 120

When the <em>number of square yards </em>of the white fabrics is 10.

It means that: x = 10

So, we have:

8 \times 10 + 10y \le 120

80 + 10y \le 120

Collect like terms

10y \le 120 - 80

10y \le 40

Divide both sides by 10

y \le 4

The above inequality means that:

The greatest whole number of square yards the teacher can buy is 4

Read more about inequalities at:

brainly.com/question/15137133

4 0
3 years ago
A number ,y, is five times another number x,the sum of numbers is 42.write the system of equations​
iragen [17]
Y=5x
X+y=40
X+5X=40
6X=40
X=40/6=6.667
8 0
3 years ago
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