1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Naddika [18.5K]
3 years ago
6

Which system of equations can you

Mathematics
1 answer:
Yuki888 [10]3 years ago
3 0
The answer is <span>y = 2x3 + 4x2 – x + 5 and  y = –3x2 + 4x + 9
Roots are both: x=-4, x= -1/2 , x= 1

Proof:

Solve for x over the real numbers:
2 x^3 + 4 x^2 - x + 5 = -3 x^2 + 4 x + 9

Subtract -3 x^2 + 4 x + 9 from both sides:
2 x^3 + 7 x^2 - 5 x - 4 = 0

The left hand side factors into a product with three terms:
(x - 1) (x + 4) (2 x + 1) = 0

Split into three equations:
x - 1 = 0 or x + 4 = 0 or 2 x + 1 = 0

Add 1 to both sides:
x = 1 or x + 4 = 0 or 2 x + 1 = 0

Subtract 4 from both sides:
x = 1 or x = -4 or 2 x + 1 = 0

Subtract 1 from both sides:
x = 1 or x = -4 or 2 x = -1

Divide both sides by 2:

Answer:  x = 1 or x = -4 or x = -1/2
</span>
You might be interested in
A family of 5 people attends a theme park. the purchase 2 adult tickets for $27.50 each and 3 student tickets for $12.50 each. i
pickupchik [31]
 They should get $7.50, because you multiply the adults by two, then the children by three, and add it all together
8 0
3 years ago
Read 2 more answers
On the map of a town, 1 cm represents 6 miles. Find the distance represented by 4.5 cm
Daniel [21]

Answer:

27 miles

Step-by-step explanation:

1cm is 6 miles,

4.5cm is ?miles

?=6*4.5/1=27

6 0
3 years ago
Find two consecutive odd numbers such that the sum of the first number and one-third of the second number is equal to fifty. 35
kobusy [5.1K]
The answer is 37 and 39.
(39/3)+37= 50
4 0
3 years ago
Read 2 more answers
Zoe had a board 5 1/4 feet long she cut off a piece now the board is 3 5/6 feet long how long was the piece she cut off
uysha [10]

Least common denominator is 24

7 0
3 years ago
Solve this application problem using a system of equations: Dan and June mix two kinds of feed for pedigreed dogs. They wish to
wlad13 [49]

Answer:

50 pounds

Step-by-step explanation:

Dan and june mix two kind of feed for pedigreed dogs

Feed A worth is $0.26 per pound

Feed B worth is $0.40 per pound

Let x represent the cheaper amount of feed and y the costlier type of feed

x+y= 70..........equation 1

0.26x + 0.40y= 0.30×70

0.26x + 0.40y= 21.........equation 2

From equation 1

x + y= 70

x= 70-y

Substitutes 70-y for x in equation 2

0.26(70-y) + 0.40y= 21

18.2-0.26y+0.40y= 21

18.2+0.14y= 21

0.14y= 21-18.2

0.14y= 2.8

Divide both sides by the coefficient of y which is 0.14

0.14y/0.14= 2.8/0.14

y= 20

Substitute 20 for y in equation 1

x + y= 70

x + 20= 70

x= 70-20

x = 50

Hence Dan and june should use 50 pounds of the cheaper kind in the mix

4 0
3 years ago
Other questions:
  • PLEASE I NEED HELP FAST!!!!
    12·2 answers
  • Ten tiles numbered 1 through 10 are placed in a bag. You randomly choose one tile. Without replacing the first tile, you randoml
    5·1 answer
  • (2/3v)^-3 for v=9 I don't understand how to find the answer. will you help me?
    8·1 answer
  • Please answer this correctly
    12·2 answers
  • Does any one know the answer please​
    14·1 answer
  • All the numbers between 30 and 60 that are multiples of 8
    10·1 answer
  • What is the area of a rectangle with sides length of 5/12 feet and 2/3 feet
    14·1 answer
  • I want the answers plz...​
    6·1 answer
  • A oreos says that now it contains 20% more. Originally, it came with 19.5 ounces of oreos . How much oreos does the box come
    5·2 answers
  • 7.
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!