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tiny-mole [99]
3 years ago
11

X-5*6+2=858 solve for x

Mathematics
1 answer:
borishaifa [10]3 years ago
8 0
x-5\cdot6+2=858\\\\x-30+2=858\\\\x-30=856\\\\\boxed{x=826}
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Widget Wonders produces widgets. They
navik [9.2K]
Find the total cost of producing 5 widgets. Widget Wonders produces widgets. They have found that the cost, c(x), of making x widgets is a quadratic function in terms of x. The company also discovered that it costs $15.50 to produce 3 widgets, $23.50 to produce 7 widgets, and $56 to produce 12 widgets.
OK...so we have
a(7)^2 + b(7) + c = 23.50 → 49a + 7b + c = 23.50 (1)
a(3)^2 + b(3) + c = 15.50 → 9a + 3b + c = 15.50 subtracting the second equation from the first, we have
40a + 4b = 8 → 10a + b = 2 (2)
Also
a(12)^2 + b(12) + c = 56 → 144a + 12b + c = 56 and subtracting (1) from this gives us
95a + 5b = 32.50
And using(2) we have
95a + 5b = 32.50 (3)
10a + b = 2.00 multiplying the second equation by -5 and adding this to (3) ,we have
45a = 22.50 divide both sides by 45 and a = 1/2 and using (2) to find b, we have
10(1/2) + b = 2
5 + b = 2 b = -3
And we can use 9a + 3b + c = 15.50 to find "c"
9(1/2) + 3(-3) + c = 15.50
9/2 - 9 + c = 15.50
-4.5 + c = 15.50
c = 20
So our function is
c(x) = (1/2)x^2 - (3)x + 20
And the cost to produce 5 widgets is = $17.50
7 0
3 years ago
If you reflect a<br> triangle upside down.<br> would it be<br> congruent to the<br> original?
Flauer [41]

Yes, because to be in congruent with something means to have the same shape and size.

Hope this helps!

6 0
2 years ago
Read 2 more answers
Which expression represents eight times a number, v?
Trava [24]

Answer:C. Easy

Step-by-step explanation:

8 0
3 years ago
Can some please help me do this? Thanks
madreJ [45]
Slope intercept form is y=MX+b.
M is the slope, x is the x intercept, and b is the y intercept

the slope is
\frac{ - 2}{1}
An intercept is where the formula crosses the axis. therefore, the x intercept is .5, and the y intercept is 1
so the point slope formula is
y =  \frac{ - 2}{1} 0.5 + 1
4 0
3 years ago
Read 2 more answers
Please Help Me Quickly As Soon As Possible, I Have A Test. I Will Give Out Brainly.
Dima020 [189]

The equation to show the depreciation at the end of x years is

f(x) = 1500 - 200x

Data;

  • cost of machine = 1500
  • annual depreciation value = x

<h3>Linear Equation</h3>

This is an equation written to represent a word problem into mathematical statement and this is easier to solve.

To write a linear depreciation model for this machine would be

For number of years, the cost of the machine would become

1500 - 200x

This is properly written as

f(x) = 1500 - 200x

where x represents the number of years.

For example, after 5 years, the value of the machine would become

f(x) = 1500 - 200x\\f(5) = 1500 - 200(5)\\f(5) = 1500 - 1000\\f(5) = 500

The value of the machine would be $500 at the end of the fifth year.

From the above, the equation to show the depreciation at the end of x years is f(x) = 1500 - 200x

Learn more on linear equations here;

brainly.com/question/4074386

8 0
2 years ago
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