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3 years ago

Sketch given function y=-x^2(x+6)

Mathematics

1 answer:

BaLLatris [955]3 years ago

4 0

Answer:

see attached

Step-by-step explanation:

The leading coefficient of this cubic (odd-degree) function is negative, so the overall shape of the curve will be downward-sloping (\). The zeros of the factors are at x=-6 and x=0 (multiplicity 2), so we know the first crossing of the x-axis will occur at x=-6. The graph will touch, but not cross, the x-axis at x=0 and continue descending from there.

The local minimum will be located 2/3 of the way from the "touch" point to the other x-intercept, so is at x=-4. The value of the function there is ...

y = -(-4)²(-4+6) = -32

The graph is symmetrical about the inflection point halfway between the local extremes, which point is (-2, -16). Then another point on the curve will be 6 units to the right of the local minimum, at (2, -32).

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Help! Need by 10:30 to turn in and I'm confused!

Alecsey [184]

Answer:

8 boxes of tissues

5 bags of cough drops

Step-by-step explanation:

You need to write a system of equations.

x = number of tissue boxes

y = number of cough drop bags

x (number of tissue boxes) + y (number of cough drop bags) = 13 (total number of tissues and cough drops combined.

So, your first equation is

x + y = 13

Then, you need to write the second equation.

(1.69 [cost of 1 tissue box] * [number of tissue boxes]) + (1.19 [cost of one bag of cough drops] * [number of cough drop bags] = 19.47 [total cost of tissues and cough drops]

That's a lot to read, so here's the equation simplified!

1.69x + 1.19y = 19.47

Now, you have two equations:

x + y = 13

1.69x + 1.19y = 19.47

I would solve with the substitution method.

the first equation can be changed to x = 13 - y by subtracting y from both sides.

Then, your two equations are:

x = 13 - y

1.69x + 1.19y = 19.47

Now, you can plug in that value of x into the second equation!

1.69(13 - y) + 1.19y = 19.47

21.97 - 1.69y + 1.19y = 19.47

subtract 21.97 from both sides

-1.69y + 1.19y = -2.5

Add the y values

-0.5y = -2.5

divide both sides by -0.5

so, y equals 5 bags of cough drops

now that you know what y equals, plug it back into your original equation to find x!

x + y = 13

plug in y

x + 5 = 13

x = 8

so, x = 8 boxes of tissues

Hope this helps! Let me know if you have any questions!

8 0

3 years ago

Solve:<br> -3y - 2 = 7<br> y =

AleksandrR [38]

Answer:

y = -3

Step-by-step explanation:

-3y -2 = 7

-3y = 9

y = -3

3 0

4 years ago

Solve Please. No Links. Links = Report.

AfilCa [17]

Answer:

Step-by-step explanation:

The easiest way to start is to do this problem is to start changing the 3/4 cup to a decimal

3/4 = 0.75

Now divide that into 11. What you are interested in is the remainder.

11/0.75 = 14.66667

He can make 14 whole pizzas.

He has 0.66667 of a cup left over which is less than 3/4 (or 0.75) so he does not have enough for another pizza.

So the answer is 0.66667 which is 2/3 of a cup is left over.

7 0

2 years ago

HELP ME PLEASE ASAP!!!!!: Stock worth $60 a share dropped in value by 20% on Monday. Then, it dropped again by $10 the next Tues

vredina [299]

Answer:

$58.9

Step-by-step explanation:

In this question, we're going to go step by step to get the final price of the share.

We know that the stock started off as $60 per share, so that would be our starting value.

The stock dropped by 20%, so let's calculate the drop in price.

60 • 0.20 = 12

60 - 12 = 48

On Monday, the value of the stock was $48

On Tuesday, the stock dropped by $10, so calculate that drop as well

48 - 10 = 38

On Tuesday, the stock value is at $38

The stock increased by 55%, so we need to calculate the increase.

38 • 1.55 = 58.9

This means that the final price of the share was $58.9

7 0

4 years ago

wel

Answer:

x = 7 cm

Step-by-step explanation:

12x9 + 3x = 129

108 + 3x = 129

3x = 21

x = 7 cm

4 0

3 years ago