Emma bought three cans of tennis balls for $4 each. Sales tax for all three cans was $0.95. Wh
expression shows what Emma paid?

Answer:

The quotient of the rational function is [tex]3 -\frac{1}{x+2}[/tex].

Step-by-step explanation:

We proceed to solve the expression by solely algebraic means below:

1) [tex]\frac{3\cdot x + 5}{x+2}[/tex] Given

2) [tex]\frac{(3\cdot x + 5) + 0}{x + 2}[/tex] Modulative property

3) [tex]\frac{(3\cdot x +5) + [1+(-1)]}{x+2}[/tex] Existence of additive inverse/Associative property

4) [tex]\frac{(3\cdot x + 6)+(-1)}{x+2}[/tex] Definition of addition/Commutative and associative properties

5) [tex]\frac{3\cdot (x+2)}{x+2} + \left(-\frac{1}{x+2} \right)[/tex]   [tex]\frac{a+b}{c} = \frac{a}{c} + \frac{b}{c}[/tex]/ [tex]\frac{-a}{b} = \frac{a}{-b} = -\frac{a}{b}[/tex]/Distributive property

6) [tex]3 -\frac{1}{x+2}[/tex] Definition of division/Existence of multiplicative inverse/Modulative property/Definition of subtraction/Result

The quotient of the rational function is [tex]3 -\frac{1}{x+2}[/tex].

P1(x) - P2(x) = -0.01x² + 4x + 200

This shows that P1(x) profit is less than P2(x).

P2(x) - P1x = 0.01x² - 4x - 200

This shows that P2(x) profit is more than P1(x).

Polynomial is an equation written as the sum of terms of the form kx^n.

where k and n are positive integers.

We have,

Plant 1:

P1 (x) = -0.03x² + 25x - 1500

Plant 2:

P2 (x) = -0.02x² + 21x - 1700

P1(x) - P2(x):

= -0.03x² + 25x - 1500 - (-0.02x² + 21x - 1700)

= -0.03x² + 25x - 1500 + 0.02x² - 21x + 1700

= -0.01x² + 4x + 200

For any x value, we will get a negative value.

This means,

P1(x) profit is less than P2(x).

P2(x) - P1x:

= -0.02x² + 21x - 1700 - (-0.03x² + 25x - 1500)

= -0.02x² + 21x - 1700 + 0.03x² - 25x + 1500

= 0.01x² - 4x - 200

For any x value, we will get a positive value.

This means,

P2(x) profit is more than P1(x).

Thus,

P1(x) - P2(x) shows that P1(x) profit is less than P2(x).

P2(x) - P1x shows that P2(x) profit is more than P1(x).

Learn more about polynomials here:

https://brainly.com/question/2284746

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Answer:

A = 28.26

C = 18.84

Step-by-step explanation:

A = [tex]\pi r^{2}[/tex]

C = 2[tex]\pi r[/tex]

A = 3.14 x 3 x 3 = 28.26

C = 2 x 3.14 x 3 = 18.84

Let me know if this helps!

Answer:

i think its 2-/+ [tex]\sqrt{42}[/tex] not sure though sorry

Step-by-step explanation:

Answer:

648 cm³

Step-by-step explanation:

For Cuboid

l = 12cm

b = 9cm

h = 6cm

Now, The volume of a cube is

l × b × h

12 × 9 × 6 cm

108 × 6 cm

648 cm³

Thus, The volume of a cuboid 12cm long 9 sm broad and 6 cm high is 648 cm³

-TheUnknownScientist

Answer:

$16/5tickets

Step-by-step explanation:

it be in simplest form mate.

Answer:

x = 11

Step-by-step explanation:

Answer:

s=2

Step-by-step explanation:

3+6s=4s-12+19

3+6s=4s+7

6s-4s=7-3

2s=4

Answer:

a= 3 w- 1

Step-by-step explanation:

Answer:

A=12[tex]u^{2}[/tex]

Step-by-step explanation:

A=bh/2

A=(4)(6)/2

Answer:

b

Step-by-step explanation:

you want the simplify ?

Answer:

A=368 miles

B= 356.3 miles

Step-by-step explanation:

Given data

Let the two trains be A and B

A+B=724.3----------1

A-B=11.7--------------2

From eqn 1

A= 724.3-B

put this in place of A in eqn 2

724.3-B-B= 11.7

724.3-2B= 11.7

724.3-11.7= 2B

712.6=2B

B= 712.6/2

B= 356.3 miles

Put B=356.3 in eqn 1

A+356.3=724.3----------1

A= 724.3-356.3

A=368 miles

Answer:

16 feet left

Step-by-step explanation:

one yard = 3 feet

so:

6 yards = 18 feet

24 inches = 2 feet

18 feet - 2 feet = 16 feet

Answer:

1. 3k=150

2. 50

Answer:

A & C & F

Step-by-step explanation:

i did this just now i got it right!

Answer:

Step-by-step explanation:

The square root of 9 is 3, while the square root of 4 is 2

3 x 2 = 6

So

A is true

B is true

C is true because we can multiply the two terms of the root and mantain the same root. In fact √36 = 6

D is wrong because the result of the expression is not 6

E is wrong for the same reason of D

F wrong because the result of the expression is 12

Answer:

13. (E) all of the above 14. (E) the diagonals bisect the angles at the vertices

Step-by-step explanation:

Answer:

Step-by-step explanation:

In verse variation would be 3  = k / 2.4   so k  = 7.2

So we have  y = 7.2 / 5  = 1.44

Answer is 1.44.

Answer:

Hence, the value of y is:

1.44

Step-by-step explanation:

It is given that:

The pair of points is on the graph of an inverse variation.

(2.4, 3) and (5, y)

We have to find the missing value y in the point.

As we know that in the inverse variation the value of y is the inverse value of x by some k.

i.e. in first point (2.4,3) let 'k' be a number such that:

Hence, the inverse is k=7.2

Now in the second point (5,y) we find the value of y as:

Hence, the value of y is:

1.44

Variation can be direct, inverse, joint or combined.

The missing value of y is (b) 1.44

The points are said to represent inverse variation.

So, we have:

[tex]x_1 \times y_1 = x_2 \times y_2[/tex]

Substitute x and y values in the equation

[tex]2.4 \times 3 = 5\times y_2[/tex]

Multiply 2.4 and 3

[tex]7.2= 5\times y_2[/tex]

Divide both sides by 5

[tex]1.44 = y_2[/tex]

Rewrite as:

[tex]y_2 = 1.44[/tex]

Hence, the missing value of y is (b) 1.44

Read more about inverse variations at:

https://brainly.com/question/1327394

Answer:

Answer:

x = 80°

Step-by-step explanation:

The measure of the angles of the inside of a triangle, when added result in 180°

58° + 42° + x = 180°

x = 180° - 42° - 58°

x = 80°

Answer:

earth C≈40030.17

moon C≈10917.03

the difference in their circumference is 29113.14 km

Step-by-step explanation:

Answer:

median then mean then range

Step-by-step explanation:

30/42 = 25/6x-1

180x - 30 = 1050

180x = 1020

x = 5.67

Answer:

John (15) Molly (19) Ross (12) Jill (16)

Answer:

439.6

Step-by-step explanation:

r times 2 (Because 70 is half of the...)=140 times pie or just round it to 3.14

So= 70 times 2 times 3.14

hello

i think so...

hope it helps

have a nice day

Answer:

Step-by-step explanation:2 one