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Arada [10]
3 years ago
12

I need help please?!!!!!

Mathematics
1 answer:
EleoNora [17]3 years ago
8 0

Answer:

The answer would be ( A gallon of water per minute)

Step-by-step explanation:

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Graph the function y = x3 + 3x2 – x – 3. Which lists all of the turning points of the graph? (–3, 0) and (1, 0) (–2, 3) and (0,
Vlada [557]

Answer with explanation:

The given function is:

  y=x³+3 x²-x-3

    =x²(x+3) -1(x+3)

    = (x²-1)(x+3)

   = (x-1)(x+1)(x+3)

Put, y=0 , gives

⇒ (x-1)(x+1)(x+3)=0

≡→x-1=0 ∧ → x+1=0 ∧→x+3=0

≡x=1, -1, -3

So, there are three breaking points in the curve.

1.⇒Putting, x=1 , in the function

y(1)=1³+3×1²-1 -3

  =1 +3-4

  =0

2. ⇒Putting, x=-1 , in the function

y(-1)=(-1)³+3×(-1)²-(-1) -3

  = -1 +3+1-3

  =0

3.⇒Putting, x=-3 , in the function

y(-3)=(-3)³+3×(-3)²-(-3) -3

  =-27+27+3-3

  =0

So, These are points where curve crosses the X axis, which are , (1,0),(-1,0) and (-3,0).

But turning points are those points where curve takes the turn , that is, if it is increasing function then it starts decreasing or becomes constant function after that point, and if it is a decreasing function then it becomes increasing or constant function.

So,turning points of the given function by looking at the graph of the function  by approximation

Option B:→(-2,3) and (0, -3)

8 0
3 years ago
0.1x=0.2(x+2<br> 1/6d+2/3=1/4(d-2)
Olenka [21]

Hello There!

<u>The answer is....</u>

<u />

<u />x = 0.<u />

<u />

Here's a graph for you!

AnimeVines

5 0
3 years ago
Read 2 more answers
A group of 40 children attend a baseball game. Each child received either a hotdog or a bag of popcorn. Hotdogs were $2.25 and p
lions [1.4K]

Answer:

  • 27 hot dogs
  • 13 bags of popcorn

Step-by-step explanation:

Had all received popcorn, the bill would have been 40×$1.75 = $70. The bill was $13.50 more than that. Each hot dog purchased in place of popcorn adds $0.50 to the bill, so the number of hot dogs must be ...

  $13.50/$0.50 = 27

Of course, the remainder of the 40 items were popcorn, so 13 bags of popcorn.

27 hot dogs and 13 bags of popcorn were purchased.

8 0
3 years ago
it cost $19.50 for postage and$5 for insurance to send a one-pound box by Express mail. How much does it cost to send 12 one-pou
IrinaK [193]
19.50 + 5 x12 = $79.50
6 0
3 years ago
Draw a line from each figure to an area
Georgia [21]

Answer:

A=27 cm^2

B=24 cm^2

C=26 cm^2

D=28 cm^2

Step-by-step explanation:

Break each problem down into individual shapes.

For instance, A can be split into a 3 by 3 square and a 6 by 3 square.

      Get the area by multiplying the length & height: A = L * H

For the triangles the area is the same equation divided by 2 A=LH/2

Shapes with unclear dimensions like C can be skipped and have their area revealed through process of elimination.

3 0
3 years ago
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