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3 years ago

11

The degree of the polynomial function f(x) is 3. The roots of the equation f(x)=0 are −1 , 1, and 2. Which graph could be the gr

aph of f(x) ?

1 answer:

Natali5045456 [20]3 years ago

7 0

Answer:

Step-by-step explanation:

You haven't attached any graphs but as there area 3 distinct roots the graph will have 2 loops.

Also the end behaviour will be rising from the left negative values of f(x) and at the right it will rise to positive f(x).

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In the box there are 20 toys, but 5 of them are broken. Randomly one after another 2 toys are taken out. What are the chances th

vitfil [10]

Answer:

A

Step-by-step explanation:

Refer to the picture above.

Explainations are written in the pic above.

4 0

3 years ago

The atmospheric pressures at the top and the bottom of a building are read by a barometer to be 96.0 and 98.0 kPa. If the densit

expeople1 [14]

Answer:

Option d - 204 m

Step-by-step explanation:

Given : The atmospheric pressures at the top and the bottom of a building are read by a barometer to be 96.0 and 98.0 kPa. If the density of air is 1.0 kg/m³.

To find : The height of the building ?

Solution :

We have given atmospheric pressures,

$P_{\text{top}}=96\ kPa$

$P_{\text{bottom}}=98\ kPa$

The density of air is 1.0 kg/m³ i.e. $\rho_a=1\ kg/m^3$

Atmospheric pressure reduces with altitude,

The height of the building is given by formula,

$H=\frac{\triangle P}{\rho_a\times g}$

$H=\frac{P_{\text{bottom}}-P_{\text{top}}}{\rho_a\times g}$

$H=\frac{(98-96)\times 10^3}{1\times 9.8}$

$H=\frac{2000}{9.8}$

$H=204\ m$

Therefore, Option d is correct.

The height of the building is 204 meter.

4 0

4 years ago

An investment of $29,000 was made by a business club. The investment was split into three parts and lasted for one year. The fi

lina2011 [118]

Answer:

The amounts of three parts of the investment are 18000, 6000, 5000 respectively.

Step-by-step explanation:

An investment of $29,000 was made by a business club.

Let the amount of first and second investment be x and y respectively. So, the amount of third investment is (29000-x-y).

The first part of the investment earned 8% interest, the second 6%, and the third 9%. Total interest from the investments was $ 2250.

$0.08x+0.06y+0.09(29000-x-y)=2250$

On simplification we get

$-0.01x-0.03y+2610=2250$

$-0.01x-0.03y=2250-2610$

$-0.01x-0.03y=-360$

$0.01x+0.03y=360$ ..... (1)

The interest from the first investment was 4 times the interest from the second.

$0.08x=4(0.06y)$

$0.08x=0.24y$

$x=3y$ .... (2)

From (1) and (2) we get

$0.01(3y)+0.03y=360$

$0.03y+0.03y=360$

$0.06y=360$

Divide both sides by 0.06.

$y=6000$

Put this value in equation (2).

$x=3(6000)=18000$

The amount of third investment is

$29000-x-y=29000-18000-6000=5000$

Therefore the amounts of three parts of the investment are 18000, 6000, 5000 respectively.

7 0

3 years ago

The sum of all three floor length is 168ft what is the length of each floor

Tasya [4]

Answer:

56

Step-by-step explanation:

sum of 3 floors, and you dont know the three floors so well name each x, so

x+x+x=168

3x=168

x=56

so each floor is 56ft

3 0

3 years ago

Read 2 more answers

Eight times the reciprocal of a number equals 4 times the reciprocal of 2. find the number

uysha [10]

Answer:

The number is 4

Step-by-step explanation:

Let the number = 'x'

Reciprocal of 'x' = 1/x

Reciprocal of 2 = 1/2

8 times the reciprocal of 'x' = $8*\frac{1}{x}\\$

$8*\frac{1}{x}= 4* \frac{1}{2}\\\\8*\frac{1}{x}= 2\\$

Now multiply both sides by x

$8*\frac{1}{x}*x = 2*x\\\\8 = 2x$

Now divide both sides by 2

$\frac{8}{2}=\frac{2x}{2}\\\\4 = x$

x = 4

4 0

3 years ago