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MrRissso [65]
3 years ago
8

Which equation represents the line passing through the points (3,2) and (-9,6)?​

Mathematics
1 answer:
RUDIKE [14]3 years ago
4 0

Equation of line: y = mx + b

m = slope

m = y2 - y1 / x2 - x1

m = 6 - 2 / -9 - 3

m = 4/-12

m = -1/3

<u>Plug in One of The Points to Solve for b:</u>

(3,2)

y = -1/3(x) + b

2 = -1/3(3) + b

2 = -1 + b

b = 3

<u>Answer:</u>

y = -1/3(x) + 3

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What is the value of m in the figure below in this diagram abd bcd
oee [108]

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6 0
3 years ago
Can someone help please
myrzilka [38]
<h3>Answer:   15x^(7/3) - 8x^(7/4) + x + 9000</h3>

=========================================================

Explanation:

If you know the cost function C(x), to find the marginal cost, we apply the derivative.

Marginal cost = derivative of cost function

Marginal cost = C ' (x)

Since we're given the marginal cost, we'll apply the antiderivative (aka integral) to figure out what C(x) is. This reverses the process described above.

\text{Cost} = \text{antiderivative of marginal cost}\\\\\displaystyle C(x) = \int \left(35x^{4/3} - 14x^{3/4} + 1\right)dx\\\\

C(x) = \frac{1}{1+4/3}*35x^{4/3+1} - \frac{1}{1+3/4}*14x^{3/4+1} + x + D\\\\C(x) = \frac{1}{7/3}*35x^{7/3} - \frac{1}{7/4}*14x^{7/4} + x + D\\\\C(x) = \frac{3}{7}*35x^{7/3} - \frac{4}{7}*14x^{7/4} + x + D\\\\C(x) = 15x^{7/3} - 8x^{7/4} + x + D\\\\

D represents a fixed constant. I would have used C as the constant of integration, but it's already taken by the cost function C(x).

To determine the value of D, we plug in x = 0 and C(x) = 9000. This is because we're told the fixed costs are $9000. This means that when x = 0 units are made, you still have $9000 in costs to pay. This is the initial value. You'll find that all of this leads to D = 9000 because everything else zeros out.

Therefore, we go from this

C(x) = 15x^{7/3} - 8x^{7/4} + x + D\\\\

to this

C(x) = 15x^{7/3} - 8x^{7/4} + x + 9000\\\\

which is the final answer.

3 0
2 years ago
The Key Club has 35 members. There are three more girls than boys. Write and solve a system of
Troyanec [42]

Answer:

19 girls

Step-by-step explanation:

Since there are 3 more girls than boys, 35-3=32

32/2=16

Now add back the 3

16+3=19

5 0
3 years ago
Read 2 more answers
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MArishka [77]

Answer:I think it's the second answer

Step-by-step explanation:

Add up all the numbers on the outside of the house to get your answer.

6 0
2 years ago
Help please!
maks197457 [2]

The two inequalities are :

option B and option C

Explanation:

Daniel moves no more than 30 of his sheep and goats into another field. This means the summation of sheep and goats will be at maximum 30.

that is why it is s+g\leq30

And more than 7 of his animals are sheep means sheep are greater than 7. that is why = s>7


7 0
3 years ago
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