A car manufacturer rolled out a new car priced at $10,000, but not many people bought it. In the context of supply and demand, how might the price of the car be affected?

Final answer:

The numerical constant 'e' equals approximately 2.71828. If we square 'e,' we get the approximate value of 7.38905. Rounding to three decimal places, the correct answer is 7.389.

Explanation:

The constant e is an essential numerical constant that is the base of the natural logarithm. It is approximately equal to 2.71828. When you want to find the value of e^2, meaning 'e' squared, you multiply 'e' by itself.

To find the value to 3 decimal places, we operate: 2.71828 * 2.71828= 7.38905.

Therefore, rounding to 3 decimal places, e^2 is equal to 7.389. So, the correct answer to your question is option C: 7.389.

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Answer:

C

Step-by-step explanation:

Answer:

The length of RS is 22

The length of UV is 22

Step-by-step explanation:

6x-8. ---------- equation (i)

4x+2 ------------ equation (ii)

Now,

equating equation i and ii, we get

6x-8 = 4x+2

or, 6x-4x = 2+8

or, 2x = 10

or, x = 10/2

.°. x = 5

Then,

length of RS = 6x-8

= 6×5-8

= 30-8

= 22

Again

length of UV = 4x+2

= 4×5+2

= 20+2

= 22

Final answer:

The value of x is 5. The length of both RS and UV is 22.

Explanation:

In mathematics, when two lines or segments are said to be equal, it means you can set your two given equations equal to each other. In this case, you can equate RS to UV, which would give you the equation 6x - 8 = 4x + 2. To solve for x, you would start by moving the 4x from the right side of the equation over to the left by subtraction to get 2x - 8 = 2. Next, to isolate x, you would move the 8 over to the right side of the equation using addition, so the equation becomes 2x = 10. Finally, divide each side by 2 to get x = 5. To find the lengths of RS and UV, substitute x = 5 into the original equations, yielding RS = 6*5 - 8 = 22 and UV = 4*5 + 2 = 22.

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Step-by-step explanation:

the line is

20x - 17y = 15

I am not sure what your teacher uses as "standard form".

the works is split between "point-slope" and "slope-intercept" form as "standard".

I usually pick "slope-intercept" :

y = ax + b

with a being the slope and b being the y-intercept.

in any case, we can find the x-intercept without bringing the line equation to one of these forms.

because x-intercept simply means that y = 0.

and for y=0 the original equation is then

20x - 17×0 = 15

20x = 15

x = 15/20 = 3/4

Final answer:

The x-intercept of the line 20x - 17y = 15 is the value of x when y equals zero. Using this condition, the equation becomes 20x = 15. Solving for x, we get x = 15/20 or x = 3/4.

Explanation:

To find the x-intercept of the line 20x - 17y = 15, we first set y to zero because the x-intercept is the value of x when y equals zero.

So, we have 20x - 17(0) = 15, which reduces to 20x = 15. Then we solve for x by dividing both sides by 20, obtaining x = 15/20 or 3/4.

Therefore, the x-intercept of the equation 20x - 17y = 15 is 3/4.

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