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
Sladkaya [172]
3 years ago
5

Pls I need it like now

Mathematics
2 answers:
Aneli [31]3 years ago
7 0

Answer:

Quadratic equation has equal roots

We know that quadratic equation has two equal roots only when the value of discriminant is equal to zero. We know that two roots of quadratic equation are equal only if discriminant is equal to zero.

Step-by-step explanation:

<u>144</u>

So, c must be 144 to make the trinomial a perfect square.

CaHeK987 [17]3 years ago
7 0

Problem 1

The discriminant formula is

d = b^2 - 4ac

from the original expression given to us, it is in the form ax^2+bx+c with

a = k-1

b = -k

c = -k

So we have a discriminant of

d = b^2 - 4ac

d = (-k)^2 - 4(k-1)(-k)

d = k^2 + 4k(k-1)

d = k^2 + 4k^2 - 4k

d = 5k^2 - 4k

Set this equal to 0 and solve for k. We set d equal to zero because a discriminant of 0 means we have two repeated roots.

d = 0

5k^2 - 4k = 0

k(5k - 4) = 0

k = 0 or 5k-4 = 0

k = 0 or 5k = 4

k = 0 or k = 4/5

<h3>There are two possible answers here: k = 0 or k = 4/5</h3>

======================================================

Problem 2

For this problem, I'll replace every c with k

Also, I'll replace every y with x

The expression turns into (2k+3)x^2-6x+4-k

We'll use the same idea as problem 1. Match it with ax^2+bx+c to find

a = 2k+3

b = -6

c = 4-k

the discriminant is

d = b^2 - 4ac

d = (-6)^2 - 4(2k+3)(4-k)

d = 36 - 4(-2k^2 + 5k + 12)

d = 36 + 8k^2 - 20k - 48

d = 8k^2 - 20k - 12

Set this equal to zero and solve for k

8k^2 - 20k - 12 = 0

4(2k^2 - 5k - 3) = 0

2k^2 - 5k - 3 = 0

2k^2 - 6k + k - 3 = 0

(2k^2-6k) + (k-3) = 0

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

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

2k+1 = 0 or k-3 = 0

2k = -1 or k = 3

k = -1/2 or k = 3

We ignore k = -1/2 as the instructions state the value of c (which I changed to k) is positive.

<h3>Answer:   3</h3>
You might be interested in
To make grape juice, water is added to a large cylindrical vat of grapes. If the diameter of the vat is 16 feet, what is the are
amid [387]

Answer:

200.96cm^2 base area

Step-by-step explanation:

Eq of circle area  = πr^2

= 3.14 x 8^2

  3.14 x 64

  200.96cm^2

 

.

5 0
2 years ago
Solve the system by graphing
Marta_Voda [28]

\left\{\begin{array}{ccc}-2x=2y-4\\2x-y=-5\end{array}\right\\\\2y-4=-2x\ \ \ \ |+4\\2y=-2x+4\ \ \ \ |:2\\y=-x+2\\for\ x=0\to y=-0+2=2\to(0,\ 2)\\for\ x=2\to y=-2+2=0\to(2,\ 0)\\\\2x-y=-5\ \ \ \ |-2x\\-y=-2x-5\ \ \ \ |\cdot(-1)\\y=2x+5\\for\ x=0\to y=2(0)+5=5\to(0,\ 5)\\for\ x=-2\to y=2(-2)+5=1\to(-2,\ 1)\\\\Answer:\ (-1,\ 3)\to\ x=-1,\ y=3

7 0
3 years ago
A music website charges x dollars for individual songs and y dollars for entire albums. Person A pays $25.92 to download 6 indiv
kati45 [8]
Amount charged for downloading individual songs = x dollars
Amount charged for downloading an entire album = y dollars
In respect to person A:
6x + 2y = 25.92
3x + y = 12.96
y = 12.96 - 3x
In respect to person B:
4x + 3y = 33.93
Putting the value of y from the first equation in the second, we get
4x + 3(12.96 - 3x) = 33.93
4x + 38.88 - 9x = 33.93
- 5x = - 4.95
x = 0.99 dollars
Putting the value of x in the first equation, we get
y = 12.96 - 3x
   = 12.96 - 2.97
   = 9.99 dollars

7 0
2 years ago
Help me please with the question I will mark BRAINLIEST ​
Semmy [17]

Answer:

  • 4^12
  • 6^7
  • 8^5
  • 7^3

Step-by-step explanation:

apply the indices law

  1. multiple means addition
  2. division means subtraction
  3. you are suppose to add the powers or subtract where necessary
  4. 4^9x 4^3= 4^5
  5. 6^5x6^2=6^7
  6. 8^6÷8=8^5
  7. 7^8÷7^6=7^2
6 0
2 years ago
Write five names for -73
Deffense [45]
Negative 73
drop of 73
minus 73
below 73
taking away 73
6 0
2 years ago
Other questions:
  • Please solve this<br> dont give stupid answer for credit.....
    13·1 answer
  • Alberts hair was 5 centimeters long after his last haircut and it grows 4 cm every year. How many years will it take until Alber
    14·2 answers
  • What is 7 and 8 plz tell me thank you if you can plz tell me or I will get a F- tommorow plz
    10·1 answer
  • Suppose the sediment density (g/cm) of a randomly selected specimen from a certain region is normally distributed with mean 2.68
    5·1 answer
  • In a parallel circuit, the current flow through the inductor will be _____.
    13·1 answer
  • 8. Let α, β, γ be the angles made by a vector u ∈ R 3 with positive x, y, z−axis respectively. Then, the numbers l = cos α, m =
    10·1 answer
  • Find the slope of the line that passes through the points (-12,-5)(0,-8) enter your answer as a fraction with no spaces
    6·2 answers
  • The width of a rectangle painting is 3 in. more than twice the height. A frame that is 2.5 in. wide goes around the painting.
    14·1 answer
  • If f(x)= (3x+x)/(x-3) what is f(a+2)
    13·1 answer
  • Which pair of angles represents corresponding angles?
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!