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Andru [333]
3 years ago
12

Consider the expression.

Mathematics
1 answer:
lorasvet [3.4K]3 years ago
5 0
Two less than 5 times a number is 9
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A vehicle factory manufactures cars. The unit cost C(the cost in dollars to make each car) depends on the number of cars made. I
DedPeter [7]

Answer:

300 cars must be made to minimize the unit cost

Step-by-step explanation:

Vertex of a quadratic function:

Suppose we have a quadratic function in the following format:

f(x) = ax^{2} + bx + c

It's vertex is the point (x_{v}, y_{v})

In which

x_{v} = -\frac{b}{2a}

y_{v} = -\frac{\Delta}{4a}

Where

\Delta = b^2-4ac

If a>0, the vertex is a minimum point, that is, the minimum value happens at x_{v}, and it's value is y_{v}.

The cost of producing x cars is given by:

C(x) = 0.7x^2 - 420x + 81610

So a quadratic equation with a = 0.7, b = -420, c = 81610

How many cars must be made to minimize the unit cost?

This is the xvalue of the vertex. So

x_v = -\frac{b}{2a} = -\frac{-420}{2*0.7} = \frac{420}{1.4} = 300

300 cars must be made to minimize the unit cost

8 0
3 years ago
Graph the equation x + 3y + 2z = 6.
Katarina [22]

Answer:

Please see attached graph for answer

Step-by-step explanation:

We can easily plot the equation with a graphing tool or a calculator.

In this case, the equation represents a plane

8 0
3 years ago
Which conclusion can be derived from this scatter plot?
katovenus [111]
The second option, temperature increased between days 5 and 7 :)
6 0
3 years ago
Read 2 more answers
Someone pls help me ill hive out brainlist pls don’t answer if you don’t know
-BARSIC- [3]

Answer:

B. 14 and 15

hope this helps

have a good day :)

Step-by-step explanation:

the square root of 200 is 14.14213562 so it has to be between 14 and 15

5 0
3 years ago
Note: I'll brainliest to who answers this correctly. Your teacher will grade your response to ensure you receive proper credit f
zaharov [31]

answer:

this isn't an answer at all, but I wish you luck on solving! try looking at math-way it might help

8 0
3 years ago
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