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
WINSTONCH [101]
2 years ago
11

6. Using the discriminant, determine the value of k that will give 1 solution (i.e. discriminant equals zero) y = kx²-4x + 4 ​

Mathematics
1 answer:
Gwar [14]2 years ago
4 0

Answer:

k = 1

Step-by-step explanation:

<u>Discriminant</u>

b^2-4ac\quad\textsf{when }\:ax^2+bx+c=0

\textsf{when }\:b^2-4ac > 0 \implies \textsf{two real roots}

\textsf{when }\:b^2-4ac=0 \implies \textsf{one real root}

\textsf{when }\:b^2-4ac < 0 \implies \textsf{no real roots}

As we need to determine the value of k that will give <u>one solution</u>, set the <u>discriminant to zero</u>.

<u>Given equation</u>:

y=kx^2-4x+4

Therefore:

  • a = k
  • b = -4
  • c = 4

Substitute these values into the discriminant and solve for k:

\begin{aligned}b^2-4ac & = 0\\\implies (-4)^2-4(k)(4) & = 0\\16-16k & = 0\\16k & = 16\\\implies k & = 1\end{aligned}

You might be interested in
The variable z is inversely proportional to x. When x is 16, z has the value 0.875. What is the value of z when x= 21?
ziro4ka [17]
For z and x to be inversely proportional, there must be some constant k such that

zx=k

Given that z=0.875 when x=16, it follows that

0.875\cdot16=k\implies k=14

Then when x=21, we have

21z=14\implies z=\dfrac{14}{21}=\approx0.667
8 0
3 years ago
Which choices are equivalent to the exponential expression below? Check all that apply. (4/5)^3​
VladimirAG [237]

Answer:

A, C, D

Step-by-step explanation:

Remember: Exponents are simply repeated multiplication.

The exponent determines how many times to multiply the base number by itself.

(\frac{4}{5} )^3=\frac{4}{5} *\frac{4}{5} *\frac{4}{5} =\frac{64}{25}

Option 'A' and 'C' apply.

Option D applies because:

\frac{4^3}{5^3} =\frac{64}{125}

3 0
2 years ago
Ok I’ll ask again cuz one of them said tomorrow and I should watch Jojo something lol so here’s the question shall I k^^* myself
tatuchka [14]

Answer:

never:)

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Find the quotient and remainder for 52 divided by 8
leva [86]
52/8 is 6.5 on a calculator, hope this helps
6 0
3 years ago
7x+5y=-13<br> -2x=7y+26<br> Solve by elimination
RSB [31]

Answer:

Point form : (1,-4)

Equation for, : x=1, y=-4

Step-by-step explanation: Add the fractions in order to solve for the first variable. Plug this vale into the other equations in order to solve for the remaining variables.

Hope this helps you out! ☺

5 0
3 years ago
Read 2 more answers
Other questions:
  • Kimberly was making chocolate chip cookies for the bake sale. The recipe she was using called for 3/4 of a cup of chocolate chip
    8·1 answer
  • There is 5000 ml water in a fish tank. THen 20% water is evaporated per week. calculate the volume of water left after 4 Weeks.
    6·1 answer
  • A kg of aluminum earns a collector $2.50 at the recycling center. If I collect 14 kg. Of aluminum cans, how much money will I ea
    14·2 answers
  • In a math class there are 8 male students and 7 female students. A student is
    9·1 answer
  • There are 1295 students attending a small university there are 714 woman in rolled what percentage of students are woman
    5·1 answer
  • Forty-five percent of the 300 shoppers in a supermarket bought milk. How many of the shoppers in a supermarket bought milk?
    14·1 answer
  • Solve for b.<br>26 – 6 = – 4​
    8·1 answer
  • I need some help with the question please!<br> Which represents an equation for inverse variation?
    8·1 answer
  • What is the equation of the line that passes through (4, -1) and (-2, 3)?
    12·1 answer
  • Evaluate the function.<br> f(x) = -x² +6<br> Find f(-1)
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!