Am I correct? Please show your work so I can compare it to my work. Thank you!

Mathematics

1 answer:

Viefleur [7K]3 years ago

4 0

Answer:

200

Step-by-step explanation:

C = 0.007x² − 2.8x + 100

There are two ways we can find the minimum. The first is by noticing that this is an upwards parabola, so the minimum is at the vertex. For y = ax² + bx + c, the vertex is at x = -b/(2a).

x = -(-2.8) / (2 × 0.007)

x = 200

Alternatively, we can minimize C using calculus. Take the derivative with respect to x and set to 0:

dC/dt = 0.014x − 2.8

0 = 0.014x − 2.8

x = 200

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I know y= 40 but what is x ?

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Answer:

x = 67; y = 40

Step-by-step explanation:

You are correct with y. Angles y + 23 and 63 are vertical, so they are congruent. That gives you y + 23 = 63, which gives y = 40.

To find x, look at angles 2x - 17 and 63.

They are adjacent angles whose outside rays lie on a line. Angles like these are called a linear pair, and they are supplementary. That means their measures add up to 180 deg.

2x - 17 + 63 = 180

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PLEASE HELPP<br> 64, 16, 4, 1 converging or diverging

ololo11 [35]

Answer:

The series 64, 16, 4, 1 is convergent.

Step-by-step explanation:

Let be $\{x_{1}, x_{2},...,x_{n}\}$ the set of values of the series. A series is convergent if and only if:

$\frac{x_{i + 1}}{x_{i}} < 1, \, \forall\,i\in \mathbb{N}$ (1)

If we know that $x_{1} = 64$ , $x_{2} = 16$ , $x_{3} = 4$ and $x_{4} = 1$ , then the convergence ratio of each pair of consecutive values are, respectively: