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Vinvika [58]
3 years ago
12

What is the slope of a line that is perpendicular to the line y = 1?

Mathematics
1 answer:
exis [7]3 years ago
8 0
The slope is 0 since a line that is perpendicular to the y-axis is always zero.
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Country Motorbikes Incorporated finds that it costs $400 to produce each motorbike, and that fixed costs are $1600 per day. The
faltersainse [42]

Answer:

30units,2900

Step-by-step explanation:

Given that Country Motorbikes Incorporated finds that it costs $400 to produce each motorbike, and that fixed costs are $1600 per day.

The price function is p(x) = 700 − 5x, where p is the price (in dollars) at which exactly x motorbikes will be sold.

If x units are produced and sold we have

Costs for x units = variable costs *x +Fixed costs = 400x+1600

Sales revenue = no of units sold * price = x(700-5x) = 700x-5x^2

Profit funciton = P(x) = Sales revenue - Total cost

= 700x-5x^2-400x-1600\\=300x-5x^2-1600

To get maximum profit we use derivative test I derivative =0 and II derivative =negative

P'(x) = 300-10x\\p"(x) = -10

Producing 30 units will maximize the profit.

Max profit

=P(30) = 2900

8 0
3 years ago
P( total shown=3) rolling two fair number cubes
kondor19780726 [428]
Dice have six sides. So 6 cubed would be 216. Does that sound right?
6 0
3 years ago
Which function represents a proportional relationship? A) f(x) = 3x 4 B) f(x) = 3 4x C) f(x) = 3x 4 + 3 4 D) f(x) = 3 4x + 3 4
densk [106]

Answer: OPTION B

Step-by-step explanation:

The equation of a line that passes through the origin is the following:

y=mx

Where "m" is the slope of the line.

By definition, Proportional relationships have the following form:

y=kx

Where "k" is the Constant of proportionality.

Then, as you can notice, if you graph a Proportional relationship you will get a line that passes through the origin.

Therefore, based on the explained above, you can conclude that the option that shows a function  that represents a Proportional relationship is the Option B.

Then, this is:

f(x)=\frac{3}{4}x

6 0
3 years ago
Read 2 more answers
Lena's engagement ring has a radius of 9 millimeters. What is the ring's circumference? Use 3.14 for ​
scoray [572]

Answer:

Given - Radius of ring is 9 millimeters

To find - Circumference

Solution -

9 millimeters = 0.9 centimeters

Circumference of circle = 2 × pie × r

= 2 × 3.14 × 0.9

= 6.28 × 0.9

= 5.652

4 0
3 years ago
Correct the mistake
ankoles [38]
(12+8)\ 5 + 15=19... this solution works because 12+8=20.. 20/5=4 and then 4+15=19
3 0
3 years ago
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