Total profit P is defined as total revenue R minus total cost​ C, and is given by the function P(x)=R(x)−C(x). Find the total profit​ P(x) when ​R(x)=126.98x−0.5x2 and C(x)=3809.40+0.7x2.

Answer:

[tex] 3 {x}^{2} + 12x + 5[/tex]

Step-by-step explanation:

[tex](x^2 + 3x) + (2x^2 + 9x + 5) \\ \\ = x^2 + 3x + 2x^2 + 9x + 5 \\ \\ = {x}^{2} + 2 {x}^{2} + 3x + 9x + 5 \\ \\ = 3 {x}^{2} + 12x + 5[/tex]

Answer:cost for basket ball= $8 and

cost of baseball = $2

Step-by-step explanation:

Step 1

Let the cost of basket ball be represented as x

and cost of  baseball = y          such that

Four basketballs and six baseballs cost $44 will be expressed as

4x+ 6y= 44  --- eqn 1   also

Five basketballs and four baseballs costs $48 will be expressed as

5x+ 4y= 48--- eqn 2

Step 2

Having obtained two expressions we can now sole

4x+ 6y= 44  --- eqn 1

5x+ 4y= 48--- eqn 2

multiplying eqn 1 by 5 and eqn 2 by 4

20x+ 30y =220---- eqn 3

20x+ 16y=192-----eqn 4

subtracting equation 4 from 3   we now have

14y=28

y= 28/14

y=2 = $2

from equation 1

4x+ 6y= 44, putting the value of y=7 to find x

4x+ 6(2)= 44

4x+12= 44

4x= 44-12

4x=32

x= 32/4

x=8=$8

cost for basket ball= $8 and

cost of baseball = $2

Answer:

1/2 ; 0 ; 2 ;

Step-by-step explanation:

3 / 8 to the nearest half

3/8 = 0.375

Using a number line, 0.375 is closer to 1/2 =0.5, than to 0 ; hence, 3/8 = 1/2(nearest half

2.) 2 /12 = 0.16666

2/12 = 0 (nearest 1/2)

3.) eight tenths plus nine tenths equals

8/ 10 + 9/10 = 17/10

17 /10 = 1.7

1.7 = 2 (nearest 1/2)

Answer: he owes him 3 cents

Step-by-step explanation:

Answer:

3$

Step-by-step explanation:

you got to do 8 minus 5.

Answer:

5r - 40

Step-by-step explanation:

If you simplify 5(r - 8), you will get 5r - 40. This is called distributed property.

Hope this helps, thank you !!

Answer:

The answer to the question is -1.32

Step-by-step explanation:

The first step will be to write out the equation that we are working with:

This equation is

[tex]0.2b + 0.6a = 12[/tex]

The next step is to write out the values of the figures that we are substituting:

[tex]a = -1.2 b=-3[/tex]

Substitution in mathematics can best be understood as "something being used in place of another thing". This means that wherever the first variable appears in an equation, the substituting values will replace it and multiply the number it is attached to.

In this case, we will replace the 'b' and the 'a' with the - 1.2 and - 3 respectively.

[tex]0.2(-3) + 0.6(-1.2) = -1.32[/tex]

Answer:

The answer is A. (15,15)

Step-by-step explanation:

edge21

Answer:

6 batches

Step-by-step explanation:

Answer:

the answer is 8/3  u have to mutplay

Step-by-step explanation:

Answer: I would answer but the image is blocked for me- can you type the problem by any chance?

Step-by-step explanation:

Answer:

3 feet

Step-by-step explanation:

Initial value usually means the y value when x=0

Answer:

[tex]Sum = (15x - 44)^{\circ}[/tex]

Step-by-step explanation:

Given

[tex]\angle y = (2x - 3)^{\circ}[/tex]

[tex]\angle z = (13x - 41)^{\circ}[/tex]

Required

Calculate the sum of the two angles

[tex]Sum = \angle y + \angle z[/tex]

[tex]Sum = (2x - 3)^{\circ} + (13x - 41)^{\circ}[/tex]

Collect Like Terms

[tex]Sum = (2x +13x)^{\circ} - (3+ 41)^{\circ}[/tex]

[tex]Sum = (15x)^{\circ} - (44)^{\circ}[/tex]

[tex]Sum = (15x - 44)^{\circ}[/tex]

Hence, the sum of the two angles is 15x - 44

Answer:

19 feet

Step-by-step explanation:

The perimeter is calculated by multiplying the sum of length and width by 2

width is 3 less than length so if we call the width x the length would be x + 3

2×(x + x + 3) = 4x + 6 and

4x + 6 = 70 subtract 6 from both sides

4x = 64 divide both sides by 4

x = 16

The length is x + 3 so the answer is 19 feet

With the given scale factor, perimeter of polygon's image is 9 units. Therefore, option A is the correct answer.

Given that, the perimeter of a polygon = 12 units and the scale factor = 3/4.

A scale factor is defined as the ratio between the scale of a given original object and a new object, which is its representation but of a different size (bigger or smaller).

The basic formula to find the scale factor of a figure is expressed as,

Scale factor = Dimensions of the new shape ÷ Dimensions of the original shape.

So, 3/4 = Dimensions of the new shape/12

= 3/4 × 12

= 3 × 3

= 9 units

With the given scale factor, perimeter of polygon's image is 9 units. Therefore, option A is the correct answer.

To learn more about the scale factor visit:

https://brainly.com/question/22312172.

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Answer:

x=10

y=30

Step-by-step explanation:

x=-2y+70

x=-2*3x+70

x=-6x+70

7x=70

x=10

y=3x

y=3*10

y=30

Answer:

Step-by-step explanation:

Area = πr²

πr² = 33.26

r = √(33.25/π) ≈ 3.25 yards

The True equations are

2. 15 x 0 =0

3. 1.4 + 2.7 = 4.1

5. 4 2/3 = 5- 1/3

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

1. 5 + 0 = 0

5 = 0

This is not an equation because LHS ≠ RHS.

2. 15 x 0 =0

0= 0

This is an Equation.

3. 1.4 + 2.7 = 4.1

4.1 = 4.1

This is an Equation.

4. 2/3 x 5/9 = 7/12

10/ 27= 7/12

This is not an Equation.

5. 4 2/3 = 5- 1/3

14/3 = 14/3

This is an Equation

Learn more about Equation here:

https://brainly.com/question/29538993

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Answer:

Cereal 3/4, Almonds 2/3, Raisins 1/3, Peanuts 1/2

Step-by-step explanation:

This is in The order from Least to Greatest and i hope this helps you i had to do a little thinking about it first. :)

9514 1404 393

Answer:

  (b)  7720 mm² of paper

Step-by-step explanation:

The central horizontal rectangle of the net is 80 mm high and ...

  40 + 5.5 + 40 + 5.5 = 91

mm long. Its area 9 is ...

  (80 mm)(91 mm) = 7280 mm²

__

The two pieces of the net not accounted for above are the "flaps" above and below the central rectangle. Each of those two has an area of 40 mm by 5.5 mm, so their total area is ...

  2(40 mm)(5.5 mm) = 440 mm²

Then the area of paper needed for the wrapper is ...

  total area = 7280 mm² + 440 mm²

  total area = 7720 mm²

Answer:

18

Step-by-step explanation:

Answer:

Step-by-step explanation:

Since the relationship in the table is not a function, Rae could put any values for x that is already in the table.

This will result in repeat of x-values with different corresponding y-values.

Answer: K = 28^2, C = x^2, W = X^2, G = 22^2, T = X^2, and last but not least, A = X^2.

Step-by-step explanation:

For this you need to use the Pythagorean Theorem formula. A^2 + B^2 = C^2. Then you plug in your numbers. For this problem. You got figure out your As, your Bs, and last but not least, your Cs.

I hope this helps you solve the problem.

Answer: William's is 16:4 and Tracey's are 15:5

Step-by-step explanation:

Answer:

6.40$

Step-by-step explanation:

HOPE THIS HELPS

PLZZ MARK BRAINLEIST

Answer:

$39.59

Step-by-step explanation:

37 increase 7% =

37 × (1 + 7%) = 37 × (1 + 0.07) = 39.59

Answer:

first one is .6

second is -3.6105

third is -3

fourth could be either 1/4, .25, or 2^-2 (they're all the same thing though)

last one could be either 1/3, .3, or 3^-1 (they're all the same thing though)

Answer:

600

Step-by-step explanation:

set x as the number

x0.10 = 60

x = 60/0.10

x = 600

Answer:

For me i think its 16.67 well im not fully sure

Step-by-step explanation:

SO we have to figure out what gives us 10 and that will be represented as "x"

[tex]\frac{60}{100}[/tex]  × x = 10

Multiplying both sides by 100 and dividing both sides by 60,

we have x = 10 × [tex]\frac{100}{60}[/tex]  so, x = 16.67

(that's what i believe but i don't know)

Answer:

can you show us the graph