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gulaghasi [49]
4 years ago
15

What is the equation of the function in vertex form? Substitute numerical values for a,h and k,

Mathematics
1 answer:
Paladinen [302]4 years ago
5 0

Answer:

f(x)= -2(x-8)²+6

Step-by-step explanation:

First graph the points

you will get a parabola that has a vertex in (8,6) wich means h= 8 and k=6

so the equation is

  • f(x) = a(x-8)²+6

to get a we will replace by the coordinates of a point for example (6,-2)

  • -2 = a(6-8)²+6
  • -2 = a*4+6
  • -2-6 = 4a
  • -8 = 4a
  • a = -2

a is negative wich makes sense since the parabola opens down

  • f(x) = -2(x-8)²+6
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A salesperson earns $18 per hour plus a $75 bonus for meeting her sales quota. Write and graph an equation that represents her t
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4 0
4 years ago
Suppose c(x) = x3 - 24x2 + 30,000x is the cost of manufacturing x items. Find a production level that will minimize the average
algol [13]

Answer:

hence the required minimum production level is 12units

Step-by-step explanation:

Given the cost function expressed as c(x) = x^3 - 24x^2 + 30,000x

The average cost function will be c(x)/x

Dividing the cost function through by x

Average cost function = c(x)/x = x³/x - 24x²/x + 30,000x/x

Average cost function = x²-24x + 30,000

A(x) = x²-24x + 30,000

If the average cost is minimized, hence dA/dx = 0

dA/dx = 2x - 24

0 = 2x - 24

-2x = -24

Divide both sides by -2

-2x/-2 = -24/-2

x = 12

For the second deriviative

d²A/dx² = 2 which is greater than zero

Hence a production level that will minimize the average cost per item of making x items is 12

4 0
3 years ago
Last year 40 people adopted a manatee through fia's foundation. This year 30% more people adopted a manatee. How many people ado
Natali [406]

____________________________________________________

Answer:

Your answer would be 52 people.

____________________________________________________

Step-by-step explanation:

To solve a problem like this, we would want to find out the TOTAL amount of people after figuring out how much increased.

In the question, it is saying that there was a 30% increase from the 40 people that adopted a manatee last year.

There are two ways to solve this:

First way to solve this, we would need to figure out how much is 30% of 40.

To do that, we would multiply 40 by 0.30

40 × 0.30 = 12

Now we found how much 30% of 40 is. What we have to do now is add 40 and 12 to get the total amount of people that adopted a manatee this year.

40 + 12 = 52

Second way to solve it:

This is probably the more faster way to solve the question like this. We know that the increase was 30%, and that last years number was 40. So we would multiply 40 by 1.3

40 × 1.3 = 52

The second way is probably more quicker than the first, but it's your choice on which way you want to use. They both will give you the same answer at the end.

Your FINAL answer would be 52 people.

____________________________________________________

4 0
4 years ago
what is the tens place and the hudreds digit and the thousands digit then on the other half it what the tents digit hundredths d
Lana71 [14]

Answer: 8. Tens:4 Hundreds:5 Thousands:7

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Step-by-step explanation:

6 0
3 years ago
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