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sp2606 [1]
2 years ago
12

Which expressions are equal?

Mathematics
1 answer:
pychu [463]2 years ago
8 0

Answer:

Step-by-step explanation:

2(x + 3) + 2x

2x + 6 + 2x

4x + 6 and 4x + 3 not equal

3(x + 2) + 4x

3x + 6 + 4x

7x + 6 and 6x + 6 not equal

5x + 2(x + 4)

5x + 2x + 8

7x + 8 and 6x + 8 not equal.

4 + 5(x + 2)

4 + 5x + 10

5x + 14 and 5x + 14 are equal

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sing the expression x + 3, write one equation that has one solution, one equation that has no solution, and one equation that ha
8090 [49]

Answer:  one solution  x + 3 = 5   x = 2   no other other value for x is possible

No solution:  (x + 3) = 2(x +3)  

Infinitely many solutions:  x+3 = 3 + x

Step-by-step explanation:

why (x + 3) = 2(x +3)  has no solution. Can you solve?

x+3=2x+6 -x=3 x=-3 substute -3 for x

(-3)+ 3)= 2[(-3) +3]

-3+3 = -6 +3

0 = -3 False!

x+3 = 3 + x  has infinitely many solutions. Substitute any number for x, and the equation is true   (5)+3=3+(5) 8=8 .  11111+3 =3+11111  11114=11114

6 0
3 years ago
A businessman buys 1,440 dozen pens at $2.50 a dozen and then sells them at a price of 25¢ apiece. what is his total profit on th
Harlamova29_29 [7]
Profit (P) is calculated by subtracting the total cost (C) from the total revenue (R). The calculations are shown below, 

       R = (1440 dozens) x (12 pieces / 1 dozen) x (25 cents/ piece) = $4320
                   C = (1440 dozens) x ($2.50 / dozen) = $3600
 
                          Profit = R - C = $4320 - $3600 = $720

Thus, the businessman's profit is $720. 

7 0
3 years ago
Use the given pair of functions to find and simplify expressions for the following functions and state the domain of each using
Tamiku [17]

Answer:

Given functions,

f(x) = 3 - x^2

g(x) = \sqrt{x}+1

Since, by the compositions of functions,

1. (g◦f)(x) = g(f(x))

=g(3-x^2)

=\sqrt{3-x^2}+1

Since, (g◦f) is defined,

If 3 - x² ≥ 0

⇒ 3 ≥ x²

⇒ -√3 ≤ x ≤ √3

Thus, Domain = [-√3, √3]

2. (f◦g)(x) = f(g(x))

=f(\sqrt{x}+1)

=3-(\sqrt{x}+1)^2

Since, (g◦f) is defined,

If  x ≥ 0

Thus, Domain = [0, ∞)

3. (f◦f)(x) = f(f(x))

=f(3-x^2)

=3-(3-x^2)^2

=3-9-x^4+6x^2

=-6+6x^2-x^4

Since, (f◦f) is a polynomial,

We know that,

A polynomial is defined for all real value of x,

Thus, Domain = (-∞, ∞)

8 0
3 years ago
The dimensions of a conical funnel are shown below: A conical funnel is shown with the height of the cone as 7 inches and the ra
Nataly [62]
The first thing we should know in this case is that by definition the flow of liquid is given by:
 Q = V / t
 Where,
 V: volume
 t: time
 The volume of the cone is given by:
 V = (pi * r ^ 2 * h) / (3)
 Where,
 r: radio
 h: height
 Substituting the values we have:
 V = (3.14 * ((3) ^ 2) * 7) / (3)
 V = 65.94 in ^ 3
 We now turn off the time of the flow equation:
 t = V / Q
 Substituting values:
 t = (65.94) / (14)
 t = 4.71 minutes
 Answer:
 It will take for all the liquid in the funnel to pass through the nozzle about:
 t = 4.71 minutes
5 0
3 years ago
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How many marbles do you need to balance the scale?
Greeley [361]

Answer:

3

Step-by-step explanation:

plz mark brainliest

7 0
3 years ago
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