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viva [34]
3 years ago
9

What are the roots of the polynomial equation x^3 -6x=3x^2-8? Use a graphing calculator and a system of equations.

Mathematics
2 answers:
KIM [24]3 years ago
8 0

Answer:

-4,1,3

Step-by-step explanation:

Because they all fit

EleoNora [17]3 years ago
8 0

Answer:

Hence, the roots of the polynomial equation are:

-2, 1, 4

Step-by-step explanation:

We are asked to find the roots of the polynomial equation:

x^3-6x=3x^2-8

We can also equate this equation to y to obtain a system of equation as:

y=x^3-6x

and y=3x^2-8

Hence, the roots of the polynomial; equation are the x-values of the  point of intersections of the graph of the system of equations.

Hence, the point of intersection of the two graphs are:

(-2,4), (1,-5) and (4,40)

Hence, the roots of the polynomial equation are:

-2, 1, 4

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How many different ways can you make 82 cents using current u.s. currency
andrew11 [14]
 <span>You can probably just work it out. 

You need non-negative integer solutions to p+5n+10d+25q = 82. 

If p = leftovers, then you simply need 5n + 10d + 25q ≤ 80. 


So this is the same as n + 2d + 5q ≤ 16 

So now you simply have to "crank out" the cases. 

Case q=0 [ n + 2d ≤ 16 ] 

Case (q=0,d=0) → n = 0 through 16 [17 possibilities] 
Case (q=0,d=1) → n = 0 through 14 [15 possibilities] 
... 
Case (q=0,d=7) → n = 0 through 2 [3 possibilities] 
Case (q=0,d=8) → n = 0 [1 possibility] 

Total from q=0 case: 1 + 3 + ... + 15 + 17 = 81 

Case q=1 [ n + 2d ≤ 11 ] 
Case (q=1,d=0) → n = 0 through 11 [12] 
Case (q=1,d=1) → n = 0 through 9 [10] 
... 
Case (q=1,d=5) → n = 0 through 1 [2] 

Total from q=1 case: 2 + 4 + ... + 10 + 12 = 42 

Case q=2 [ n + 2 ≤ 6 ] 
Case (q=2,d=0) → n = 0 through 6 [7] 
Case (q=2,d=1) → n = 0 through 4 [5] 
Case (q=2,d=2) → n = 0 through 2 [3] 
Case (q=2,d=3) → n = 0 [1] 

Total from case q=2: 1 + 3 + 5 + 7 = 16 

Case q=3 [ n + 2d ≤ 1 ] 
Here d must be 0, so there is only the case: 
Case (q=3,d=0) → n = 0 through 1 [2] 

So the case q=3 only has 2. 

Grand total: 2 + 16 + 42 + 81 = 141 </span>
3 0
3 years ago
Which equation is represented by the graph below
Brrunno [24]

Answer:

y=-2x+2

Step-by-step explanation:

okay?.......................

5 0
3 years ago
Read 2 more answers
Elisa is making strawberry shortcake. One serving of strawberry shortcake requires one third cup of strawberries and one shortbr
Kisachek [45]

Given, To make a strawberry shortcake for one person, we need :

▪︎\frac{1}{3} cup of strawberry

▪︎one shortbread biscuit

Quantity of strawberries Elisa has = 3 cups

Number of shortbread biscuits she has = 12

Number of shortcakes she can make :

= \tt3 \div \frac{1}{3}

=  \tt\frac{3 \times 3}{1}

\color{plum} =\tt 9 \: people

Thus, Elisa can serve strawberry shortcakes to 9 people.

With 12 dozen shortbread biscuits she can serve 12 people.

Quantity of strawberries needed to serve 12 people :

=\tt \frac{1}{3}  \times 12

=\tt  \frac{12}{3}

\color{plum} = \tt4 \: cups

<h3>○=> Therefore :</h3>

▪︎Elisa can serve strawberry shortcakes to <u>9 people</u>.

▪︎Elisa will need <u>4 cups of strawberries</u> if she wants to use all dozen shortbread biscuits.

7 0
3 years ago
I need help on number 11! Can anyone help?
Zanzabum
I might be wrong but I think you divide each number by each other to get the answers
8 0
3 years ago
A person who owns a fee simple interest in a unit in a multi-unit building together with a specified undivided percentage of all
Ghella [55]

Answer:

Condominium

Explanation:

A condominium also called condo, is a housing unit in a multi-unit building that is owned by an individual.  The owner of the condominium retains sole title to the unit but possesses common property mutually with other owners of the unit and shares common property expenses with them. The difference between an apartment and a condominium is ownership, that means an apartment is basically rented and a condominium is owned.  Condo owners receive a deed for their estate, just as if they were buying a house. The condominium owner own his unit in fee simple, which is the less restrictive form of legally recognized real estate ownership. The owner usually has the right to sell and use the unit just like owners of a separate home unless such use or sale is prohibited by covenants. Ownership of a condominium is different from that of detached house e.g. you may possess inner walls of your unit but may not own outer walls.

6 0
3 years ago
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