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IRISSAK [1]
3 years ago
5

Complete the equation of the line through (1,4) and (2,2)

Mathematics
1 answer:
Yuri [45]3 years ago
3 0
You are given the points in which the line intercepts. Using this info, we can use these numbers to find the slope.

m = (y2-y1)/(x2-x11) = (2-4)/(2-1) = -2/1 = -2

Our end result we want is the point-slope intercept formula : y=mx+b

We are still missing b, the intercept, so pick either of the two points (it doesn't matter which) and plug them into the equation. I will use (1,4), but again you could use either.

4 = (-2)*1 + b
6 = b

So now your final equation for the line after plugging in b and m is

y = (-2)x +6
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Hope this helps!
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Answer:

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The revenue from selling x shirts is r(x) = 11x. The cost of buying x shirts is c(x) = 6x + 20. The profit from selling x shirts
oee [108]

Answer: option A is the correct answer.

Step-by-step explanation:

The expression that relates revenue, profit and cost is

Profit = Revenue - Cost

The revenue from selling x shirts is r(x) = 11x. The cost of buying x shirts is c(x) = 6x + 20. Therefore,

p(x) = r(x) - c(x)

p(x) = 11x - (6x + 20)

By expanding the bracket, the minus sign will alter each term in the bracket. Therefore,

p(x) = 11x - 6x - 20

p(x) = 5x - 20

8 0
3 years ago
Evaluate the given algebraic expressions replacing x with -2 and y with 1<br><br>3x^2
Anvisha [2.4K]

Answer:

12

Step-by-step explanation:

3x^2

because the information provided states that x = -2, that is what we are going to replace x with.

3(-2)^2

the next step is to evaluate the power because that is next in PEMDAS.

(-2)^2 = 4

that leaves us with:

3 * 4 = 12      ( the " * " represents the multiplication sign)

hope this helps!

3 0
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