The specifications for the dimensions of a new cardboard container are shown. If the volume of the container is modeled by V(h) = 2h^3 - 9h^2 + 4h and it will hold 45 cubic inches of merchandise, what are the containers dimensions?​

Answer:

Domain: {0,1,2,4}

Range: {0, 1, 4, -6}

Step-by-step explanation:

Hi there!

The domain is the set of all x-values in a relation.

{(0,0),(1,1),(2,4),4,-6)}

The x-values are 0, 1, 2, and 4.

Domain: {0,1,2,4}

The range is the set of all y-values in a relation.

{(0,0),(1,1),(2,4),4,-6)}

The y-values are 0, 1, 4 and -6.

Range: {0, 1, 4, -6}

A function occurs when there is only one y-value for every x-value. This is the case for this relation, so therefore it is a function.

I hope this helps!

Answer: 100.4

Step-by-step explanation: 800 - 699.6 = 100.4

Answer :

1 one, it's one hoped this help !

The HCF (Highest Common factor) also called the GCF (Greatest Common Factor) of two consecutive odd numbers is 1. Hope this helps!

~Just a joyful teen

[tex]GraceRosalia[/tex]

Answer:

1/8

Step-by-step explanation:

First convert 1/2 to eighths:

1/2 = 4/8

5/8-4/8= 1/8

Hope this helps! :)

Answer:

567898765

Step-by-step explanation:

Answer:

-7/2

Step-by-step explanation:

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let's solve ~

Answer:

b. 254.34

c. 3.33

that is the answer I suppose

Answer:

1:1

Step-by-step explanation:

thats how you write scale

mark brainliest pls

Answer:

Part A:  A) [tex]\frac{4y^{10}}{3w}[/tex]

Part B:

C) Quotient Rule of Powers (explained in Part A of this post).

D) Zero Exponent Rule (explained in Part A of this post, in solving for base z).

Step-by-step explanation:

[tex]\frac{28y^{15}w^{3} z^{7}}{21y^{5}w^{4} z^{7}}[/tex]

Use the Quotient Rule of Exponents:

[tex]\frac{a^{m}}{a^{n}} = a^{m-n}[/tex]

The 28 and 21 can be reduced by dividing both of them by 7.  For the exponential expressions with the same base, you could subtract their exponents.  I'll do each base separately so it doesn't get confusing.

[tex]\frac{28y^{15}w^{3} z^{7}}{21y^{5}w^{4} z^{7}}[/tex]

[tex]y^{15-5}[/tex] = [tex]y^{10}[/tex] (in the numerator).

[tex]w^{4-3}[/tex] = w (in the denominator. The "w" in the numerator cancels out).

[tex]z^{7-7}[/tex] = [tex]z^{0} = 1[/tex]  We used the Zero Exponent Rule here, were it states: [tex]a^{0} = 1[/tex]. (unnecessary to include in the final answer).

Altogether, you'll have:

Option A: [tex]\frac{4y^{10}}{3w}[/tex]

C) Quotient Rule of Powers (explained in Part A of this post).

D) Zero Exponent Rule (explained in Part A of this post, in solving for base z).

Answer:

f(- 7) = 0

Step-by-step explanation:

Substitute x = - 7 into f(x) , that is

f(- 7) = 2(- 7 - 5)(- 7 + 7)

       = 2 × - 12 × 0

      = - 24 × 0

     = 0

Answer:  D. i took the test.. Happy to Help! :)

Step-by-step explanation:

Answer:

G. 5

Step-by-step explanation:

I've done this exam beofre

Answer:

Step-by-step explanation:10

Answer:

B-the cost of each pair of shoes

Step-by-step explanation:

This is because each pair of shoes cost $25 dollars more than each suit (which is represented by x)

x + 25, represents the cost of each pair of shoes. Option B is correct.

Given that,
This month Peter purchased 50 suits for his store. He also needed to buy 35 pairs of shoes, which cost $25 dollars more than each suit. The expression shows Peter's total expenses for this month
50 (x) + 35 (x + 25) + 450, What x + 25 represents the equation is to e determined.

A polynomial function is a function that applies only integer dominions or only positive integer powers of a value in an equation such as the quadratic equation, cubic equation, etc. ax+b is a polynomial.

Here,
Let x be the rate of each suit,
and the cost of the shoe is $25 dollars more than each suit. So,
50 (x) + 35 (x + 25) + 450
In the equation, x + 25  represent the cost of each pair of shoe.

Thus, x + 25, represents the cost of each pair of shoes. Option B is correct.

Learn more about polynomial function here:

https://brainly.com/question/12976257
#SPJ2

Answer:

it will be w^3

Answer:

71 m................

area =length *width

5864=84*width

width=5864/84

hence width is 71m

Answer: 52,5%

Step-by-step explanation:

For 6 cases of soda, he had to make a profit in the amount of:

6×300=1800 sh

And also taking into account the fact that he was charged with transportation of 200 ; then he made a profit in the amount of:

1800-200=1600sh

Total  bottles  of soda - 24 × 4= 96 b

He also broke 44 bottles  - 96-44=52 b

Then he earned :

52×15=13×4×15=60×13=780 sh

Then he suffered a loss in the amount of :

1600-780 =820 sh

As a percentage

[tex]\dfrac{820}{1600} \cdot 100=\boldsymbol{51,25 \%}[/tex]

Answer:

6/7 is the correct answr

Answer:

-17 =x

Step-by-step explanation:

144 = -12 (x + 5)

Divide each side by -12

144/-12 = -12 (x + 5)/-12

-12 = x+5

Subtract 5 from each side

-12-5 =x+5-5

-17 =x

Answer:

[tex]144=-12x-60\\12x=-204\\x=-17[/tex]

Step-by-step explanation:

Answer:

9p+8

Step-by-step explanation:

p+8p= 9p

6+2= 8

9p+8

Answer:

Step-by-step explanation:

(p+6) + (8p+2)

(p+8p) + (6+2)

9p + 8

Answer:

9/11

Step-by-step explanation:

f(X)=-9/X

f(a) =-9/-11

f(a)= 9/11

Answer:

2

Step-by-step explanation:

Thats what I got im 99.9999% sure it's correct pls give brainy crown thing because I used real effort for this.

Answer:

lol no34532534

Step-by-step explanation:

26

the number line ticks count by 2

hope this helped :)

9514 1404 393

Answer:

  b.  A × B = GCF(A, B) × LCM(A, B)

  c. 15 = GCF × LCM / 20

Step-by-step explanation:

b. The products of the numbers in the table are 80, 108, 216, 45.

The products of the corresponding GCF and LCM are 80, 108, 216, 45.

Conjecture: the product of the numbers is equal to the product of the GCF and LCM.

__

c. GCF×LCM = 5×60 = 300 = A×B = 20×B

  B = 300/20 = 15

The other number is 15, found by using the conjecture of part b.

_____

If you think for a minute about what the GCF and LCM are, you realize the relationship discussed in this problem must be the case. Consider the factors of two numbers A and B:

  A = (factors in common with B) × (factors unique to A)

  B = (factors in common with A) × (factors unique to B)

The GCF, by definition, are (factors in common between A and B).

The LCM, by definition, is the product of unique factors:

  (common factors) × (factors unique to A) × (factors unique to B)

__

Then the product of the LCM and the GCF is ...

  GCF × LCM =

  (factors in common) × ((factors in common) × (unique to A) × (unique to B))

Using the associative and commutative properties of multiplication, we can rearrange this product to be ...

  ((factors in common)×(unique to A)) × ((factors in common)×(unique to B))

  = A × B

__

Personally, I use a kind of diagram to represent the factorization of A and B and their LCM and GCF:

  [unique to A (common] unique to B)

Then A = factors in [ ], and B = factors in ( ). The stuff in (common] is the GCF, and the overall product is the LCM.

Using the example of part c, this would look like [4 (5] 3), so A = 4·5 = 20 and B = 5·3 = 15. The GCF is 5, and the LCM is 4·5·3 = 60.

The end parts [unique to A( and ]unique to B) can have no common factors. Any common factors must reside in the (common] part.