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alexira [117]
3 years ago
14

How to show that a function is surjective?

Mathematics
1 answer:
photoshop1234 [79]3 years ago
6 0
Algebra formula based function
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What is the value of K?
Ksju [112]
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
6 0
2 years ago
A 3cm×10cm rectangle sits inside a circle with radius of 12. Find the area of the shaded region
kolezko [41]

Answer:

422.4cm²

Step-by-step explanation:

area of circle is pi x 12² which is 144 pi

144pi subtract 30 is 422.4

6 0
3 years ago
LOAD OF QUESTIONS:
Law Incorporation [45]

the end behavior of the function f(x)

the function f(x) must has odd number of roots ( where the graph of a function intersects the x-axis

the width cant be negative so the width of the rectangle would be 8 inches

4 0
3 years ago
Read 2 more answers
What is range of 34,56,13,98, and 75?<br><br> A) 23<br><br> B) 85 <br><br> C) 56 <br><br> D) 55.2
GenaCL600 [577]

Answer: B; 85


Step-by-step explanation

hope it help

6 0
3 years ago
Read 2 more answers
You do mot have to exsplain the answer i just wat the correct answer<br> no links please
Elenna [48]

Answer:

144

Step-by-step explanation:

5 0
3 years ago
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