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Olenka [21]
2 years ago
14

Box 1: Dimensions: x by 3x by x3 Area of base = x(3x) = 3x2 Box 2: Dimensions: x by 4x – 1 by x3 Area of base = x(4x – 1) = 4x2

– x Complete the statements about the number of terms in the polynomial representing the volume of each box. Box 1's volume will be a Box 2's volume will be a . Explain your reasoning.
Mathematics
2 answers:
NeTakaya2 years ago
6 0

Answer:

1. Monomial

2. Binomial

Step-by-step explanation:

Box 1’s volume is modeled by a monomial times a monomial, so it will be a monomial.  Box 2’s volume is modeled by a monomial times a binomial, so it will be a binomial.

On Edgenuity

andriy [413]2 years ago
4 0

Answer:

box 1: monomial

box 2: binomial

Step-by-step explanation:

reasoning: Box 1’s volume is modeled by a monomial times a monomial, so it will be a monomial.

Box 2’s volume is modeled by a monomial times a binomial, so it will be a binomial.

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Determine whether each of these sets is finite, countably infinite, or uncountable. For those that are countably in- finite, exh
mrs_skeptik [129]

Answer:

a) the negative integers set A is countably infinite.

   one-to-one correspondence with the set of positive integers:

   f: Z+ → A, f(n) = -n

b) the even integers set A is countably infinite.

   one-to-one correspondence with the set of positive integers:

   f: Z+ → A, f(n) = 2n

c) the integers less than 100 set A is countably infinite.

   one-to-one correspondence with the set of positive integers:

   f: Z+ → A, f(n) = 100 - n

d) the real numbers between 0 and 12 set A is uncountable.

e) the positive integers less than 1,000,000,000 set A is finite.

f) the integers that are multiples of 7 set A is countably infinite.

   one-to-one correspondence with the set of positive integers:

   f: Z+ → A, f(n) = 7n

Step-by-step explanation:

A set is finite when its elements can be listed and this list has an end.  

A set is countably infinite when you can exhibit a one-to-one correspondence between the set of positive integers and that set.

A set is uncountable when it is not finite or countably infinite.

8 0
1 year ago
According to the Rational Root Theorem, which statement about f(x) = 66x4 – 2x3 + 11x2 + 35 is true? Any rational root of f(x) i
Kamila [148]

Answer:

The correct option is Any rational root of f(x) is a factor of 35 divided by a factor of 66....

Step-by-step explanation:

According to the rational root theorem:

if a_{0} and a_{n} are non zero then each rational solution x will be:

x= +/- Factors of a_{0} / Factors of  a_{n}

In the given polynomial we have:

66x4 – 2x3 + 11x2 + 35

a_{0} = 35

a_{n} = 66

Therefore,

x= +/- Factors of 35/ Factors of 66.

Thus the correct option is Any rational root of f(x) is a factor of 35 divided by a factor of 66....

3 0
2 years ago
Read 2 more answers
Haruka hiked several kilometers in the morning. She hiked only 666 kilometers in the afternoon, which was 25\%25%25, percent les
katen-ka-za [31]

Answer:

She hiked 1,554 kilometers in all.

Step-by-step explanation:

Let the hiking kilometers for morning be x

Given that:

Hiking kilometers in afternoon = 666

According to given condition that afternoon kilometers are 25% less than morning:

x = 666 + 25% of x

By simplifying:

x = 666 + 0.25x

x - 0.25x = 666

0.75x = 666

Dividing both sides by 0.75 we get:

x = 666/0.75

x = 888 kilometers

She hiked 888 kilometers in morning

And

Total = 888 + 666 =1554 km

i hope it will help you!

3 0
1 year ago
Read 2 more answers
Ainsley lives in a town 360 miles directly north of Orlando, and one Saturday, she takes the train from her town to the city. he
iragen [17]
By definition we have to:
 d = v * t
 where,
 d: distance
 v: speed
 t: time
 We have then that the speed is:
 (360-210) = v * 2.5
 Clearing we have:
 v = (360-210) /2.5
 v = 60 mph
 We now write the generic equation of distance:
 d (x) = 60x
 Where,
 x: time
 Answer:
 
an equation that represents (x), the distance Ainsley is from Orlando after x hours is:
 
d (x) = 60x
5 0
2 years ago
Which point on the number line represents the product (Negative 4) (negative 2) (negative 1)? A number line going from negative
kicyunya [14]

Answer:

The product is represented by Point A: -8.

Step-by-step explanation:

The expression is:

X=(-4)(-2)(-1)

Compute the value of <em>X</em> as follows:

X=(-4)(-2)(-1)

    =-4\times -2\times -1\\=-8

Consider the number line given below.

The value of <em>X</em> is represented by the point A.

Thus, the product is represented by Point A: -8.

7 0
1 year ago
Read 2 more answers
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