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3 years ago

Which of the following functions best represents the graph?

Mathematics

2 answers:

Allushta [10]3 years ago

7 0

Answer:

B. f(x)=x³+x²-x-1

Step-by-step explanation:

The value of the graph f(x) shows that at x=1 and x=-1 must yield f(x)=0

which is true in case B.

A. f(1)=1+1-4-4= -6≠0

C. f(1)= 1+3-4-12=-12≠0

D. f(-1)= -1+2+2-1= 2≠0

Hence, option B is correct

i.e. f(x)= x³+x²-x-1

Leviafan [203]3 years ago

4 0

I believe the answer is B.

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PLZ HELP It's homework: Compound Probability (Without Replacement) 1.) A box of chocolates contains six milk chocolates and six

ddd [48]

Answer:

c 1/4

Step-by-step explanation:

5 0

3 years ago

Suppose that you were not given the sample mean and sample standard deviation and instead you were given a list of data for the

Troyanec [42]

Answer:

So, the sample mean is 31.3.

So, the sample standard deviation is 6.98.

Step-by-step explanation:

We have a list of data for the speeds (in miles per hour) of the 20 vehicles. So, N=20.

We calculate the sample mean :

$\mu=\frac{19 +19 +22 +24 +25 +27 +28+ 37 +35 +30+ 37+ 36+ 39+ 40+ 43+ 30+ 31+ 36+ 33+ 35}{20}\\\\\mu=\frac{626}{20}\\\\\mu=31.3$

So, the sample mean is 31.3.

We use the formula for a sample standard deviation:

$\sigma=\sqrt{\frac{1}{N-1}\sum_{i=1}^{N}(x_i-\mu)^2}$

Now, we calculate the sum

$\sum_{i=1}^{20}(x_i-31.3)^2=(19-31.3)^2+(19-31.3)^2+(22-31.3)^2+(24-31.3)^2+(25-31.3)^2+(27-31.3)^2+(28-31.3)^2+(37-31.3)^2+(35-31.3)^2+(30-31.3)^2+(37-31.3)^2+(36-31.3)^2+(39-31.3)^2+(40-31.3)^2+(43-31.3)^2+(30-31.3)^2+(31-31.3)^2+(36-31.3)^2+(33-31.3)^2+(35-31.3)^2\\\\\sum_{i=1}^{20}(x_i-31.3})^2=926.2\\$

Therefore, we get

$\sigma=\sqrt{\frac{1}{N-1}\sum_{i=1}^{N}(x_i-\mu)^2}\\\\\sigma=\sqrt{\frac{1}{19}\cdot926.2}\\\\\sigma=6.98$

So, the sample standard deviation is 6.98.

3 0

3 years ago

2. Samuel used clay to make a diorama of the pyramids in Ancient Egypt. He made two triangular pyramids and three rectangular py

zalisa [80]

Answer:

$124.16$ cubic meter of clay will be used to create all the pyramids

Step-by-step explanation:

The remaining part of the question is given in the attached file

Solution

The total clay used is equal to the sum of volumes of two triangular and three rectangular pyramids.

For Rectangular Pyramid,

Volume of three rectangular pyramids

$3 * \frac{BH}{3} = BH$

Substituting the given values in above equation, we get -

$15.5 * 5 = 77.5$ cubic centimeter

For triangular Pyramid,

Volume of two triangular pyramids

$2 * \frac{BH}{3}\\2 * \frac{10 * 7}{3}$

$46.67$ cubic centimeter

Total clay used = Volume of 3 rectangular pyramid + volume of 2 triangular pyramid $= 77.7 + 46.67 = 124.16$ Cubic centimeter

5 0

3 years ago

Renting video games from Store S costs $2.50 per game plus a monthly fee of $5.00. Renting video games from Store T costs $5.00

tigry1 [53]

Answer: A. 2.5v+5v < 5v

Step-by-step explanation:

represents the piece of information which states that renting videos is $2.50 per game and the 2.5 is multiplied by the number of games v. Five is added as a monthly fee therefore the left side of the equation should be 2.5v+5.

For store T:

There is no monthly fee and so the renting fee of $5 per game is represented as 5v.

In conclusion, if the inequality sign in the middle is less than (<) then the left hand side of the inequality sign should represent store S and the right hand side should represent store T in order to answer the question. This makes option A the only correct option.

6 0

3 years ago

Given that 16 ounces equals 1 pound, how many ounces are in 8.9 pounds?

Hitman42 [59]

Answer:

142.4

Step-by-step explanation:

6 0

3 years ago

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