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
s344n2d4d5 [400]
2 years ago
10

What is the value of K?

Mathematics
1 answer:
Ksju [112]2 years ago
6 0
Answer: The value of k for which one root of the quadratic equation kx2 - 14x + 8 = 0 is six times the other is k = 3.
Let's look into the solution step by step.

Explanation:

Given: A quadratic equation, kx2 - 14x + 8 = 0

Let the two zeros of the equation be α and β.

According to the given question, if one of the roots is α the other root will be 6α.

Thus, β = 6α

Hence, the two zeros are α and 6α.

We know that for a given quadratic equation ax2 + bx + c = 0

The sum of the zeros is expressed as,

α + β = - b / a

The product of the zeros is expressed as,

αβ = c / a

For the given quadratic equation kx2 - 14x + 8 = 0,

a = k, b = -14, c = 8

The sum of the zeros is:

α + 6α = 14 / k [Since the two zeros are α and 6α]

⇒ 7α = 14 / k

⇒ α = 2 / k --------------- (1)

The product of the zeros is:

⇒ α × 6α = 8 / k [Since the two zeros are α and 6α]

⇒ 6α 2 = 8 / k

⇒ 6 (2 / k)2 = 8 / k [From (1)]

⇒ 6 × (4 / k) = 8

⇒ k = 24 / 8

⇒ k = 3
You might be interested in
Which point is the reflection of point E across the y-axis ? What’s are it’s coordinates?
andriy [413]

Answer:

I need more info

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Which triangle must be a right triangle and why?
Lapatulllka [165]
Of your answers, the first one is correct. There are two right triangles in the graph, ABC and A'B'C'. However, only A'B'C' is listed.
8 0
3 years ago
Read 2 more answers
WHO WANTS TO DO MY SCHOOL ONLINE WORK? PLEASEE
Anettt [7]

Answer:

If you ask your school questions on Brainly I'm sure someone will answer them for you.

8 0
3 years ago
Help fast!!!!!!!!!!!!!!!!!
Rom4ik [11]

Answer:

The answer is 112 families in a neighboring township take their dog for a walk each day.

Step-by-step explanation:

We know that 38%, or 0.38, of the customers take their dog for a walk every day. If we multiply 0.38 times the number of families in the neighboring township that own at least one dog, we get 111.72.

0.38 *  294 = 111.72.

Round that to the nearest whole number and we get 112.

4 0
3 years ago
The average daily maximum temperature for Laura’s hometown can be modeled by the function
uranmaximum [27]

Answer:

Average daily temperature in May is 11.9°C

Step-by-step explanation:

We are given the function for the average daily temperature as,

f(x)=4.5\sin(\frac{\pi x }{6})+11.8.

Since, x = 0 corresponds the month January.

Then, May is represented by x = 4.

Substituting x= 4 in the given function, we get,

f(4)=4.5\sin(\frac{4\pi}{6})+11.8

i.e. f(4)=4.5\sin(\frac{12.56}{6})+11.8

i.e. f(4)=4.5\sin(2.09)+11.8

i.e. f(4)=4.5\times 0.036+11.8

i.e. f(4)=0.16+11.8

i.e. f(4) = 11.9°C

Thus, the average daily temperature in May is 11.9°C

3 0
3 years ago
Other questions:
  • Triangle has an area of 54cm2 and a height of 9m. How long is the base?
    7·1 answer
  • Add 3x2-4x+5, 9x - 10+2x2 and 7-5x2
    8·2 answers
  • If a regression analysis was to be completed on body mass index (BMI), what could be an independent variable in that analysis? W
    12·1 answer
  • Which set is closed under the operation multiplication?
    12·1 answer
  • Jude types 876 characters in 6 minutes. What is her typing rate in characters per minute?
    5·1 answer
  • Enter 2/5 and 2/3 as a pair of equivalent fractions with the least common denominator between the two fractions.
    7·1 answer
  • How to find an equation for a line through two given points?​
    14·1 answer
  • Pls help me me give brainly if right btw 85 points
    8·2 answers
  • The volume of a sphere is 1436.8 ft· Find the radius of the sphere.
    10·1 answer
  • PLEASEEE I CAN'T DO ITT
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!