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3 years ago

Solve the inequality -2x is less than or equal to 3x + 1 is less than or equal to 10

Mathematics

1 answer:

WARRIOR [948]3 years ago

8 0

-2x $\leq$ 3x+1 $\leq$ 10
$\frac{-2x-1}{3} \leq x \leq 3$
this is what i understood from what you typed...

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An automobile firm wants to purchase either machine A or machine B. The intial cost of machines A and B are $40,000 and $50,000,

Fynjy0 [20]

Answer:

C. $118,000 and $110,000, respectively.

Step-by-step explanation:

Please consider the complete question.

An automobile firm wants to purchase either machine A or machine B. The intial cost of machines A and B are $40,000 and $50,000, respectively. The power consumption per year of machines A and B are 120 MWh and 100 MWh, respectively. The power cost is $40/MWh. The estimated operating and maintenance cost over 10 years is $30,000 for machine A and $20,000 for machine B.

First of all, we will find the amount spent on power consumption for 10 years by each machine as:

$\text{Machine A}=10\cdot 120(\$40)\\\text{Machine A}=\$48,000$

$\text{Machine B}=10\cdot \$100(\$40)\\\text{Machine A}=\$40,000$

Now, we will find overall cost of machines A and B by adding initial cost, power consumption for 10 years and maintenance cost as:

$\text{Overall cost of machine A}=\$40,000+\$48,000+\$30,000$

$\text{Overall cost of machine A}=\$118,000$

$\text{Overall cost of machine B}=\$50,000+\$40,000+\$20,000$

$\text{Overall cost of machine B}=\$110,000$

Therefore, the overall cost of machines A and B are $118,000 and $110,000, respectively and option C is the correct choice.

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3 years ago

Which two expressions are equivalent?

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Answer:

I believe it's the first one

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2 years ago

Read 2 more answers

HELP WITH MATHHHH PLEASE

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The vertex is at the point (0,0) and the focus at the point (0, 1/8). This is given to us. Both the vertex and focus are separated by a vertical distance in the positive direction.

This means that the parabola opens upward. The vertex form of the equation for a parabola that opens upward is:

y = a(x - h)^2 + k, where the point

(h, k) is the vertex of the parabola.

Plug the vertex given into the above equation.

y = a(x - 0)^2 + 0

y = ax^2 + 0

y = ax^2

What is a?

Note: a = 1/(4f), where f is the distance from the vertex to the focus or simply as given in the focus point above 1/8.

Let f = 1/8

a = 1/4(1/8)

a = 1/(1/2)

a = 2

The equation we want is

y = 2x^2.

f(x) = 2x^2

Choice A is the answer.

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Step-by-step explanation:

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