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3 years ago

What would be the expression after distributing, -3(x+5)?

Mathematics

2 answers:

polet [3.4K]3 years ago

7 0

Answer:

-3x-15

Step-by-step explanation:

-3*x

-3*5

sweet-ann [11.9K]3 years ago

3 0

Answer:

-3x - 15

Step-by-step explanation:

to find the expression you would multiply the negative three to both the x and 5, this will give you a -3x and a -15 because the 15 is a negative you wouldn't use the plus sign anymore, instead you would use the negative for the 15

hope this helped! :)

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HELP HELP QUICK WILL GET MARKED BRAINLIEST

jeyben [28]

I believe you're right with what you have
the price decrease being 5% (the .95) and the increase by 15% (the 1.15)

8 0

4 years ago

A greeting card company can sell cards for $2.75 each, so the revenue can be calculated using the formula 2.75 Rx . The company’

LuckyWell [14K]

Given that the revenue equation is $R(x)=2.75x$ and the cost equation is $C(x)=0.35x+12,000$

Part A:

At break-even the cost is equal to the revenue.

Thus, the algebraic equation needed to determine when the company will break even is given by

$R(x)=C(x) \\ \\ \Rightarrow2.75x=0.35x+12,000$

Part B:

The solution to part A is given as follows:

$2.4x=12,000 \\ \\ \Rightarrow x=5,000$

Part C:

<span>The algebraic inequality needed to indicate that the revenue is greater than the cost is given by

$R(x)\ \textgreater \ C(x) \\ \\ \Rightarrow2.75x\ \textgreater \ 0.35x+12,000$

Part D:

</span>The solution to part C is given as follows:

$2.4x>12,000 \\ \\ \Rightarrow x>5,000$

Part E:

The answer in part D tells us that the the company will make a profit when the produce more than 5000 cards.

3 0

3 years ago

Describe how to determine the average rate of change between x = 3 and x = 5 for the function f(x) = 3x3 + 2. Include the averag

Serhud [2]

Answer:

147

Step-by-step explanation:

Average rate of change is given by the total rise over total run.

$f(x) = 3x^3+2\\f(3)=3*3^3+2=83\\f(5)=3*5^3+2 = 377$

So,

total rise = 377 - 83 = 294

total run = 2

average rate of change = $\dfrac{294}{2} = 147$

8 0

3 years ago

An open box is to be made from a rectangular piece of material 9 inches by 12 inches by cutting equal squares from each corner a

grigory [225]

The questions for this problem would be:
1. What is the dimensions of the box that has the maximum volume?
2. What is the maximum volume of the box?

Volume of a rectangular box = length x width x height

From the problem statement,
length = 12 - 2x
width = 9 - 2x
height = x

where x is the height of the box or the side of the equal squares from each corner and turning up the sides

V = (12-2x) (9-2x) (x)
V = (12 - 2x) (9x - 2x^2)
V = 108x - 24x^2 -18x^2 + 4x^3
V = 4x^3 - 42x^2 + 108x

To maximize the volume, we differentiate the expression of the volume and equate it to zero.

V = 4x^3 - 42x^2 + 108x
dV/dx = 12x^2 - 84x + 108
12x^2 - 84x + 108 = 0x^2 - 7x + 9 = 0

Solving for x,
x1 = 5.30 ; Volume = -11.872 (cannot be negative)
x2 = 1.70 ; Volume = 81.872

So, the answers are as follows:

1. What is the dimensions of the box that has the maximum volume?
length = 12 - 2x = 8.60
width = 9 - 2x = 5.60
height = x = 1.70

2. What is the maximum volume of the box?

Volume = 81.872

7 0

3 years ago

Work background to the to find value of the variable in the equation below <br> D - 4 = 23

jonny [76]

You add 4 on both sides so the 4 cancels out and you know have 23+4= 27
D=27

8 0

3 years ago

Read 2 more answers