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
Diano4ka-milaya [45]
3 years ago
9

What substitution should be used to rewrite 4x^12-5x^6-14=0 as a quadratic equation?

Mathematics
2 answers:
faust18 [17]3 years ago
7 0

Answer:

K = x⁶ will be the substitution.

Step-by-step explanation:

The given equation is 4x^{12}-5x^{6}-14=0

Now we have to convert it in a quadratic equation which should be in the form of ax^{2} +bx+c=0

We can rewrite the equation as

4(x⁶)² - 5(x⁶) - 14 = 0

Now we are clear that we have to substitute x⁶ = k to convert the equation in a quadratic equation

4K² - 5K - 14 = 0

Therefore, K = x⁶ will be the substitution.

GarryVolchara [31]3 years ago
3 0

let m = x^6

4m^2 -5m -14 =0

You might be interested in
Brett warmed up for his basketball game by running around the court 3 times . If the court is 84 feet by 50 feet, how many feet
lana [24]

Answer:

804 feet

Step-by-step explanation:

Given: Dimension of a basketball court is 84 feet by 50 feet.

Considering the shape of basketball court is in rectangle shape.

∴ Finding the perimeter of rectangle to know total number of feet in one round.

Perimeter of rectangle= 2(l+w)

where, l= length

           w= width

∴ Perimeter of rectangular court= 2(84\ feet + 50\ feet)

⇒ Perimeter of rectangular court= 2(134\ feet)

Opening parenthesis

⇒ Perimeter of rectangular court= 2\times 134\ feet= 268\ feet

Hence, Brett run 268 feet in one round of warm up.

As given, Brett ran around the court 3 times.

∴ Total number of feet= 268\ feet\times 3= 804\ feet

Hence, Brett jog for 804 feet.

3 0
3 years ago
The probability can be written as:<br> Fraction <br> Decimal <br> Percent <br> All of the above
Alla [95]
All of the above. Sorry if this is wrong but in 99% sure it isn’t!!
5 0
3 years ago
Katrina owns a dance studio and offers four classes a day for $28.00 each, with 10 people maximum per class. If she decides to o
WARRIOR [948]

Answer:

$980

Nvm you have to multiply 98 by 10 since there are 10 participants. :)

Step-by-step explanation:

Well, first we wanted to find how much the morning classes cost together. You have to $28 multiplied with 75/100. I am multiplying it with 75/100 instead of 25/100 because the discount cuts off the 25% and the 75% is what you still have to pay. This will give you 2100/100 which is $21. Now you have to multiply $21 with 2 since there are two morning classes. $21 x 2 equals $42. Total for Morning Classes is $42.

Now the other two classes don't have a discount. So all you have to do is $28 x 2 or $28 + $28. This gives you $56. Total for The Other Classes is $56.

Last Step:

Total for Morning Classes + Total for the Other Classes = $56 + $42

                                                                                             = $98

Hope that helped! :)

6 0
3 years ago
Read 2 more answers
Determine by inspection (i.e., without performing any calculations) whether a linear system with the given augmented matrix has
devlian [24]

Answer:

Infinitely Many Solutions

Step-by-step explanation:

Given

\left[\begin{array}{cccccc}1&2&3&4&5&6\\7&6&5&4&3&2\\8&8&8&8&8&8\end{array}\right]

Required

Determine the type of solution

From the matrix, we have:

3 non-zero rows and 5 variables (the last column is the result)

When the number of variables is more than the number of non-zero rows, then such system has infinitely many solutions

i.e.

Variables > Non\ zero\ rows

5 > 3

8 0
3 years ago
Which model represents the factors of 4x²-9?
NeX [460]

Step-by-step explanation:

(

2

x

)

2

−

3

2

=

(

2

x

−

3

)

(

2

x

+

3

)

6 0
3 years ago
Other questions:
  • A 2018 poll of 3634 randomly selected users of a social media site found that 1799 get most of their news about world events on
    7·1 answer
  • Joe deposits $30,000 for his retirement in an account with a 6% simple interest rate. How long will it take Joe to earn $21,600
    13·2 answers
  • Roberto is having his house painted. The job takes three days, and he pays the painter the same hourly rate every day. The cost
    11·2 answers
  • Kati brought 1/4 dozen doughnuts to school. How many doughnuts did Kati bring
    12·1 answer
  • Can someone help me with this please 1/4(5x+16/3)-2/4(3/4x+1/2)=-5.
    15·1 answer
  • A tourist first walked 17km with a speed of v km/h. Then he hiked 12 km uphill with the speed that was 2 km/hour less than his o
    15·1 answer
  • Simplify 24 − (23 + 22).
    10·2 answers
  • Evaluate the expression for the given values.
    9·2 answers
  • A box has a volume of 20 cubic inches. If the base has dimensions of 2 inches by 4 inches, what is the height of the box?
    5·1 answer
  • What is the sum of the interior
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!