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Vitek1552 [10]
3 years ago
14

The graph of the function f(x) = (x − 3)(x + 1) is shown.

Mathematics
2 answers:
marissa [1.9K]3 years ago
6 0

Answer:

The correct option is A.

Step-by-step explanation:

The given function is

f(x)=(x-3)(x+1)

Equate f(x)=0 to find the x-intercepts of the function.

0=(x-3)(x+1)

x=3,-1

The x-intercepts of the function are -1 and 3. From the below graph it is clear that,

In x<-1, the function is positive and decreasing.

In -1<x<1, the function is negative and decreasing.

In 1<x<3, the function is negative and increasing.

In x>3, the function is positive and increasing.

Therefore the correct option is A.

sertanlavr [38]3 years ago
3 0
There's an error in the graph, but the answer is A.
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PLEASE HELP IMMA FAIL
pshichka [43]

Answer:

4 sqrt(2) =c

Step-by-step explanation:

The base is the triangle

We can use the Pythagorean theorem to solve

a^2 + b^2 =c^2  where a and b are the legs and c is the hypotenuse

4^2 + 4^2 = c^2

2 * 4^2 = c^2

Take the square root of each side

sqrt(2 * 4^2) = sqrt(c^2)

sqrt(2) *sqrt( 4^2) = c

4 sqrt(2) =c

5 0
3 years ago
Determine the decibel values of thermal noise power (N) and thermal noise power density (No) given the following: T=292 degrees
Agata [3.3K]

Answer: d. None of the above are correct.

Step-by-step explanation: Noise is a superfluous random alteration in an eletrical signal. There are different types of noises created by different devices and process. Thermal noise is one of them. It is unavoidable because is created by the agitation of the charge carriers, due to temperature, inside an eletrical conductor at equilibrium and is present in all eletrical circuits.

The formula to find the thermal noise power (N) is: N = k_{b}.T.B, where:

k_{b} is Boltzmann constant (1.38.10^{-23}J/K);

T is temperature in Kelvin;

B is the bandwith;

Calculating the thermal noise power:

N = 1.38.10^{-23}·292·40

N = 16118.4.10^{-23} dBm

The thermal noise power [N] = 16118.4.10^{-23} dBm

Noise power density or simply Noise density (N₀) is the noise power per unit of bandwith and its SI is watts per hertz.

For thermal noise, N₀ = kT, where

<em>k </em>is the Boltzmann constant in J/K;

T is the receiver system noise temperature in K;

N₀ = 1.38.10^{-23} . 292

N₀ = 402.96.10^{-23} W/Hz

The thermal noise power density [N₀] = 402.96.10^{-23} W/Hz

7 0
3 years ago
Naomi and Hudson work at a dry cleaners ironing shirts. Naomi can iron 35 shirts
IceJOKER [234]

Answer:

n, h = Naomi's and Hudson's work hours, respectively

n + h = 13

35n +20h = 395

Step-by-step explanation:

We are asked for the number of work hours of Naomi and Hudson. It is convenient to define the variables n and h to represent those hours, respectively. Then the system of equations is ...

 n + h = 13 . . . . . . . . . . . . total work hours

 35n +20h = 395 . . . . . . total shirts ironed

_____

The solution is Naomi worked 9 hours; Hudson worked 4 hours.

6 0
3 years ago
A train is pulling 23 red cars and 36 blue cars. Each car has 32 boxes of freight. Which is the best estimate for the number of
Len [333]

So the train is pulling about 50 cars in total, and there's about 30 boxes of freight in each car.


30 x 50 = 1500


The best estimate would be near 1500 boxes of freight through the whole train.

3 0
4 years ago
Differentiate 2sin(5x-3)
anygoal [31]
f(x)=2\sin(5x-3)\\&#10;f'(x)=2\cos(5x-3)\cdot5=10\cos(5x-3)
3 0
3 years ago
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