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
antoniya [11.8K]
3 years ago
13

Which quadratic equation is equivalent to (x^2-1)^2-11(x^2-1)+24=0

Mathematics
2 answers:
solniwko [45]3 years ago
8 0

Answer:

u² - 11u + 24 = 0 is equivalent to (x²-1)² - 11(x²-1) + 24 = 0

Step-by-step explanation:

(x²-1)² - 11(x²-1) + 24 = 0

<em>Evaluate each equation by substituting the value of u to match the equation above.</em>

1) u² - 11u + 24 = 0 where u = (x² - 1)

(x²-1)² - 11(x²-1) + 24 = 0

<em>This equation matches (x²-1)² - 11(x²-1) + 24 = 0</em>

2) (u²)² - 11(u²) + 24 where u = (x² - 1)

[(x²-1)²]² - 11(x²-1)² + 24

<em>This equation does not match (x²-1)² - 11(x²-1) + 24 = 0</em>

3) u² + 1 - 11u +24 = 0 where u = (x² - 1)

(x² - 1)² + 1 - 11(x²-1) + 24 = 0

<em>This equation does not match (x²-1)² - 11(x²-1) + 24 = 0</em>

4) (u² - 1)² - 11(u² - 1) + 24 where u = (x² - 1)

[(x²-1)²-1]² - 11(u² - 1)² + 24

<em>This equation does not match (x²-1)² - 11(x²-1) + 24 = 0</em>

Therefore, the first quadratic equation is equivalent to (x²-1)² - 11(x²-1) + 24 =0.

!!

Y_Kistochka [10]3 years ago
3 0

Answer:

The correct answer is first option

u² - 11u + 24 = 0

When u = (x² - 1)

Step-by-step explanation:

It is given that,

(x² - 1)² - (x² - 1) + 24 = 0

<u>To find the correct answer</u>

Substitute u = x² - 1

The equation becomes,

u² - 11u + 24 = 0 Where u = (x² - 1)

Therefore the correct answer is first option

u² - 11u + 24 = 0

When u = (x² - 1)

You might be interested in
The table below shows the cube roots of different numbers:
Mila [183]

part A)

\bf \begin{array}{|c|cccccc|ll} \cline{1-7} x&8&27&64&125&&x\\ \cline{1-7} y&\stackrel{\sqrt[3]{8}}{2}&\stackrel{\sqrt[3]{27}}{3}&\stackrel{\sqrt[3]{64}}{4}&\stackrel{\sqrt[3]{125}}{5}&&\sqrt[3]{x} \\ \cline{1-7} \end{array}~\hspace{10em}y = \sqrt[3]{x}

part B)

f(x) = 10 + 20x

so if you rent the bike for a few hours that is

1 hr.............................10 + 20(1)

2 hrs..........................10 + 20(2)

3 hrs..........................10 + 20(3)

so the cost is really some fixed 10 + 20 bucks per hour, usually the 10 bucks is for some paperwork fee, so you go to the bike shop, and they'd say, ok is 10 bucks to set up a membership and 20 bucks per hour for using it, thereabouts.

f(100) = 10 + 20(100) => f(100) = 2010.

f(100), the cost of renting the bike for 100 hours.

4 0
3 years ago
Pam signed up for a new gym. She had to pay a $45 sign-up fee and will pay dues of $30 each month for 6 months. Which expression
erastovalidia [21]

Answer:

45 + (30*6)

Step-by-step explanation:

3 0
2 years ago
Please help asap!! BRAINLIEST to best/right answer!
deff fn [24]
Q: What is the value of the upper quartile?

A: C 9


Hope this helps!!!
6 0
3 years ago
Read 2 more answers
If f(x) = 3x2 - x, find f(-2).<br><br> 10<br> 14<br> 38
mojhsa [17]

f(x) = 3x^2-x

F(-2)

 replace x with -2

3(-2)^2 - -2 =

3*4 +2 = 14

 Answer is 14


6 0
3 years ago
Read 2 more answers
Solve for x, give exact answers: 6x^2 - 7x - 3 = 0
Novosadov [1.4K]

Answer:

Step-by-step explanation:

6x∧2-7x-3=0

the coefficient of x² multiplied by -3 = -18

we need to look for 2 numbers that when we add it to together it will equate to -7x

+2 and -9 is the answer

6x∧2+2x-9x-3=0

2x(3x+1)-3(3x+1)=0

(2x-3)(3x+1)=0

equate each brackets to 0

2x-3=0   3x+1=0

2x=3        3x=-1

x=3/2         x=-1/3

4 0
3 years ago
Read 2 more answers
Other questions:
  • SHOW YOUR DAMmmmN WORK. SLOPE X INTERCEPT Y INTERCEPT GRAPH EVERYTHING
    14·1 answer
  • How many 0.2 liter glasses of water are contained in a 3.6 liter pitcher?
    7·1 answer
  • Can someone help me on 17,18,19 with work please?
    8·1 answer
  • What is the square root of 75 in simplest form
    13·1 answer
  • What is 2/3 times 9/5
    6·2 answers
  • You have a shelf that holds 25 1/2 pounds. How many 1 1/4 pound books can the shelf hold? Explain your response
    8·1 answer
  • A bag contains 4kg of rice.1500g is taken out for cooking.What is the ratio of the amount taken out to the original quantity
    13·1 answer
  • The side lengths of a triangle are 5, 3, and 4. Is this a right triangle?
    10·1 answer
  • A die is rolled find the probability of rolling a multipul of 5​
    5·1 answer
  • Plz help me with 1-6 <br> identify each pair of angles
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!