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Nuetrik [128]
3 years ago
9

3x + 8y - 36 = 0

Mathematics
1 answer:
Setler [38]3 years ago
3 0

Answer:

x = 10

Step-by-step explanation:

Coordinate pairs are given in the form (x,y)

So, since (x,3/4) is a solution, we can say

y = 3/4

Now we plug in y = 3/4 into the equation and solve for x:

3x + 8y - 36 = 0\\3x + 8(\frac{3}{4}) - 36 = 0\\3x + \frac{24}{4}-36=0\\3x+6-36=0\\3x=36-6\\3x=30\\x=\frac{30}{3}\\x=10

So, the value of x is 10

The solution is x = 10

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G(x)= -9(0)-15
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3 years ago
The total cost of producing a type of tractor is given by C(x)=11000−20x+0.02x2, where x is the number of tractors produced. How
marissa [1.9K]

Answer:

Step-by-step explanation:

You need to complete the square.

C(x) = 0.02(x^2 - 1000x  ...)  + 11000

C(x) = 0.02 (x^2 - 1000x + 500^2) + 11000 - 5000

C(x) = 0.02 (x^2 - 1000x + 500^2) + 6000

C(x) = 0.02(x - 500)^2 + 6000

Now if you look at the answer you will find that the square is completed. That means that number of tractors you could produce is 500 at a cost of 6000

There is a flow to this question that you may have trouble understanding.

First of all the 500^2. That comes from taking 1/2 of 1000 and squaring it. That's what you need to complete the square.

Bur that is not what you have adding into the equation. Remember that there is a 0.02 in front of the brackets.

500^2 = 250000

0.02 * 250000 = 5000

So that number must be subtracted to make the square = 0. When you remove the brackets, you should get 11000 all in all.

So what you have outside the brackets is 11000 - 5000 = 6000

The rest is just standard for completing the square.

5 0
2 years ago
How could Brent use a rectangle to model the factors of x2 – 7x + 6?
Katen [24]

Answer:

x2-7 can be the length and 6 can be  the width of it and then that would l give you are l time w

Step-by-step explanation:

6 0
4 years ago
Need help with 15... thx
Rzqust [24]
8 x 1.25 = 10 
10 x 10 = 100

3 0
3 years ago
Read 2 more answers
Which expression below gives the average rate of change of the function g(x)=-x^2-4x on the interval 6
Lapatulllka [165]

Answer:

The complete question is:

Which expression below gives the average rate of change of the function g(x)= -x^2 - 4x on the interval 6 < x < 8

When we have a function f(x), the average rate of change of this function in the interval a < x < b is given by:

r = \frac{f(b) - f(a)}{b - a}

Then if we have the function g(x) = -x^2 - 4x

and we want to find the average rate of change in the interval 6 < x < 8 we need to compute:

r = \frac{g(8) - g(6)}{8 - 6} = \frac{(-(8^2) - 4*8) - (-(6)^2 - 4*6)}{2} = \frac{-96 - (-60)}{2}  = \frac{-36}{2} = -18

6 0
3 years ago
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