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VladimirAG [237]
3 years ago
15

Help 10 minutes to turn in

Mathematics
1 answer:
olchik [2.2K]3 years ago
4 0

When you express the equation of a line in the form y=mx+q, the coefficient m is exactly the slope of the line.

So, let's manipulate the equation to fulfill our goal:

12 = 4x-6y \iff 6y = 4x-12 \iff y = \dfrac{4}{6}x - 2 \iff y = \dfrac{2}{3}x-2

So, the slope is 2/3

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The inventor of a new game believes that the variable cost for producing the game is $0.90 per unit and the fixed costs are $620
nikdorinn [45]

Answer:

Step-by-step explanation:

Let x represent the number of units of games sold.

The inventor of a new game believes that the variable cost for producing the game is $0.90 per unit and the fixed costs are $6200. It means that the total variable cost for x units would be

0.9 × x = 0.9x

The inventor sells each game for $1.69. This means that the total revenue from x units of games sold would be

1.69 × x = 1.69x

The total cost for a business is the sum of the variable cost and the fixed costs. Therefore, the total cost for the number of games sold would be

C = 6200 + 0.9x

Profit = Revenue - total cost

Therefore,

Profit = 1.69x - (6200 + 0.9x)

= 1.69x - 0.9x - 6200

= 0.79x - 6200

8 0
3 years ago
(EXTRA POINTS) Which of the following relations is a function?<br><br><br><br> file in question
Taya2010 [7]
I think it is a I am not sure though
6 0
3 years ago
15. Explain why we need to specify 0 &lt; b &lt; 1 and b &gt; 1 as valid values for the base b in the expression logb(xx).
damaskus [11]

Answer:

The base (b) has to be positive and different of 1. The logarithm is the inverse of exponential, so:

logb(a) = x ⇒ a = bˣ

So, for b = 0 ⇒ 0ˣ = a

And there is impossible, "a" only could be 0.

For b = 1 ⇒ 1ˣ = a

And the same thing would happen, the logarithming would be to be 1, and the function will be extremally restricted.

For b<0, then the expression a = bˣ will be also restricted, and will not represent all values of a.

So, 0<b<1 and b >1.

3 0
3 years ago
10 points
enyata [817]

Answer:

$175.45

Step-by-step explanation:

8.25 / 0.75 = 11

15.95 x 11 = 175.45

4 0
2 years ago
What is 10(b + 4c) expanded? (using the distributive property)
sveta [45]

Answer:

10b +40c

Step-by-step explanation:

10(b + 4c)

Distribute

10*b + 10 *4c

10b +40c

3 0
3 years ago
Read 2 more answers
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