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3 years ago

Y = -2x + 13 when x = 6

Mathematics

2 answers:

Anastaziya [24]3 years ago

7 0

ANSWER

6/11

do the opposite calculation instead of x divide instead of - x

elena-14-01-66 [18.8K]3 years ago

6 0

Answer: 1

Work: After plugging in the 6 in the X, the new equation is -2(6) + 13. After doing the multiplication of -2 and 6, you get -12. Add -12 + 13, and the answer (Or y) equals 1.

<em>I hope this helps, and Happy Holidays! :)</em>

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A car is traveling at a speed of 30.0m/s encounters an emergency and comes to complete stop how much time will it take for the c

Travka [436]

Answer:

$7.5\ seconds$

Step-by-step explanation:

The Equation of motion is given by

$v=u-at\\\\\ v:Final\ Velocity\\u:Initial\ Velocity\\a:acceleration\\t:time$

Here $v=0(as\ at\ the\ end\ car\ stops), u=30m/s,a=-4m/s^2$

$0=30-4t\\\\4t=30\\\\t=\frac{30}{4}\\\\t=7.5\ seconds$

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3 years ago

Write 24:14:6 in its simplest form.

Iteru [2.4K]

Answer:

12 : 7 : 3

Step-by-step explanation:

24 : 14 : 6

12 : 7 : 3

Always start with smaller number to simplify it. Since 2 is the smaller number and it simplifies 24, 14, and 6 I start with it.

24 ÷ 2 = 12

14 ÷ 2 = 7

6 ÷ 2 = 3

We would stop here since it would not further simplify, therefore our answer is 12 : 7 : 3.

Hope this helps, thank you :) !!

3 0

2 years ago

Other ways to write 50897

NARA [144]

Written form: fifty thousand eight hundred ninety-seven.

expanded form: 50000+800+90+7

3 0

3 years ago

Read 2 more answers

A package of 6 pairs of insulated gloves costs 38.34. What is the unit price of the pairs of gloves?

devlian [24]

Answer:

6.39

Step-by-step explanation:

divide the total cost by the total amount of the item for the unit price:

38.34/6=6.39

4 0

3 years ago

Can someone help please

myrzilka [38]

<h3>Answer: 15x^(7/3) - 8x^(7/4) + x + 9000</h3>

=========================================================

Explanation:

If you know the cost function C(x), to find the marginal cost, we apply the derivative.

Marginal cost = derivative of cost function

Marginal cost = C ' (x)

Since we're given the marginal cost, we'll apply the antiderivative (aka integral) to figure out what C(x) is. This reverses the process described above.

$\text{Cost} = \text{antiderivative of marginal cost}\\\\\displaystyle C(x) = \int \left(35x^{4/3} - 14x^{3/4} + 1\right)dx\\\\$

$C(x) = \frac{1}{1+4/3}*35x^{4/3+1} - \frac{1}{1+3/4}*14x^{3/4+1} + x + D\\\\C(x) = \frac{1}{7/3}*35x^{7/3} - \frac{1}{7/4}*14x^{7/4} + x + D\\\\C(x) = \frac{3}{7}*35x^{7/3} - \frac{4}{7}*14x^{7/4} + x + D\\\\C(x) = 15x^{7/3} - 8x^{7/4} + x + D\\\\$

D represents a fixed constant. I would have used C as the constant of integration, but it's already taken by the cost function C(x).

To determine the value of D, we plug in x = 0 and C(x) = 9000. This is because we're told the fixed costs are $9000. This means that when x = 0 units are made, you still have $9000 in costs to pay. This is the initial value. You'll find that all of this leads to D = 9000 because everything else zeros out.

Therefore, we go from this

$C(x) = 15x^{7/3} - 8x^{7/4} + x + D\\\\$

to this

$C(x) = 15x^{7/3} - 8x^{7/4} + x + 9000\\\\$

which is the final answer.

3 0

2 years ago