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3 years ago

15

By looking at the equation, what can be predicted about the end behavior of the graph for x^3-5x^2+8x-4=0

1 answer:

kondor19780726 [428]3 years ago

8 0

Answer:

The curve starts low to the left and goes high to the right

Step-by-step explanation:

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The radius of a spherical balloon a is increasing at a constant rate of 0.1 cm/s. another balloon, b, is being continuously defl

Dimas [21]

Let $r_A$ and $r_B$ be the respective radii of balloons A and B. If the fixed total volume is V, then

$V = \dfrac{4\pi}3\left({r_A}^3 + {r_B}^3\right)$

and knowing $r_A=10\,\rm cm$ and $r_B=9\,\rm cm$ at the start, we have V = 6916π/3 cm³. Then when $r_A=12\,\rm cm$ , the radius of the other sphere is $r_B=1\,\rm cm$ .

Differentiating both sides with respect to time t gives a relation between the rates of change of the radii:

$0 = 4\pi \left({r_A}^2 \dfrac{dr_A}{dt} + {r_B}^2 \dfrac{dr_B}{dt}\right) \implies \dfrac{dr_B}{dt} = -\left(\dfrac{r_A}{r_B}\right)^2 \dfrac{dr_A}{dt}$

We're given $\frac{dr_A}{dt} = 0.1\frac{\rm cm}{\rm s}$ the whole time. At the moment $r_A=12\,\rm cm$ , the radius of balloon B is changing at a rate of

$\dfrac{dr_B}{dt} = -\left(\dfrac{12\,\rm cm}{1\,\rm cm}\right)^2 \left(0.1\dfrac{\rm cm}{\rm s}\right) = \boxed{-14.4 \dfrac{\rm cm}{\rm s}}$

8 0

2 years ago

It costs $3.45 to buy 3/ 4 lb of chopped walnuts. How much would it cost to purchase 7.5 lbs of walnuts?

Dmitry_Shevchenko [17]

Answer:

The cost of the 7.5 lbs of walnuts be $2.16 .

Step-by-step explanation:

As given

It costs $3.45 to buy $\frac{3}{4}$ lb of chopped walnuts.

i.e

$\$ 3.45 = \frac{3}{4}\ lb$

Now calculate the cost of one pound .

$Cost\ of\ one\ pound = \frac{3.45}{\frac{3}{4}}$

$Cost\ of\ one\ pound = \$ 0.2875$

Now calculated the cost of the 7.5 lbs of walnuts .

Cost of 7.5 lbs of walnuts = 7.5 × 0.2875

= $2.16 (Approx)

Therefore the cost of the 7.5 lbs of walnuts be $2.16 .

7 0

4 years ago

Read 2 more answers

the original price of a computer is $935.00 if the price of the computer is increased by 7% what is the new price

Verizon [17]

Answer:

$1000.45 is the new price.

Step-by-step explanation:

The fastest way in which to answer this question is to multiply $935.00 by 1.07. That ".07" comes from "7%."

1.07($935.00) = $1000.45 is the new price.

4 0

3 years ago

Every day, Paula performs physical activity on her treadmill. For an hour, she runs 15,000 meters. Knowing that she spends an ho

natali 33 [55]

Answer: 105 kilometers

Step-by-step explanation:

1 kilometer=1,000 meters

15,000 (meters a day) x 7 (days a week) = 105,000 meters.

Convert the meters to kilometers:

105,000/1,000 = 105 kilometers

3 0

3 years ago

4688-3) -30X-5 CX-5)

pshichka [43]

Answer:

x = 13/3

Step-by-step explanation:

4(8x-3) - 30x = 5(x-5)

Distribute

32x - 12 - 30x = 5x -25

Combine like terms

2x -12 = 5x-25

Subtract 2x from each side

2x-12-2x = 5x-2x -25

-12 = 3x-25

Add 25 to each side

-12+25 = 3x-25+25

13 = 3x

Divide each side by 3

13/3 = x

4 0

4 years ago

Read 2 more answers