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velikii [3]
3 years ago
9

15 is at least the quotient of a number and 6 increased by 3

Mathematics
1 answer:
crimeas [40]3 years ago
4 0

Answer:

The number is x\geq 72

Step-by-step explanation:

Given:

Quotient \geq 15

Let the number be x

The quotient is 15 of a number and 6 which is increaase by 3

Hence forming the inequality expression from the question given we get;

\frac{x}{6}+3\geq 15

Now Solving the above equation we get,

\frac{x}{6}+3\geq 15\\\\\frac{x}{6}\geq 15-3\\\\\frac{x}{6}\geq 12\\\\x\geq 12\times6\\x\geq 72

Hence the number is x\geq 72

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show that thw roots of the equation (x-a)(x_b)=k^2 are always real if a,b and k are real. Please I really need help with this
VLD [36.1K]

Answer:

see explanation

Step-by-step explanation:

Check the value of the discriminant

Δ = b² - 4ac

• If b² - 4ac > 0 then roots are real

• If b² - 4ac = 0 roots are real and equal

• If b² - 4ac < 0 then roots are not real

given (x - a)(x - b) = k² ( expand factors )

x² - bx - ax - k² = 0 ( in standard form )

x² + x(- a - b) - k² = 0

with a = 1, b = (- a - b), c = -k²

b² - 4ac = (- a - b)² + 4k²

For a, b, k ∈ R then (- a - b)² ≥ 0 and 4k² ≥ 0

Hence roots of the equation are always real for a, b, k ∈ R


           

8 0
3 years ago
Any suggestions or answers
Murrr4er [49]
1 solution. it can't be 2, and if you solve it, there is a solution, x stays in the equation, so there's 1 solution
5 0
3 years ago
At some department store, all suits are reduced 30% from the retail price. If a man purchased a suit that originally rera ec for
Arisa [49]

Answer:

$78.72

Step-by-step explanation:

To find 30% of the original value, we need to turn this percentage into a decimal or a fraction and then multiply it by the original value

  • 30% is equivalent to 0.30, \frac{30}{100}, and \frac{3}{10}
  • So we can use either of these values. I will use 0.30 for simplicity

  • ($262.40)(0.30) = $78.72 is the amount saved
5 0
4 years ago
An inverse variation function has a k value of 8. Which ordered pair is on the graph of the function?
Vinvika [58]

The points on the graph of the inverse variation are of the form:

(x, 8/x)

<h3>Which ordered pairs are on the graph of the function?</h3>

An inverse variation function is written as:

y = k/x.

Here we know that k = 8.

y = 8/x

Then the points (x, y) on the graph of the function are of the form:

(x, 8/x).

So evaluating in different values of x, we can get different points on the graph:

  • if x = 1, the point is (1, 8)
  • if x = 2, the point is (2, 4)
  • if x = 3, the point is (3, 8/3)
  • if x = 4, the point is (4, 2)

And so on.

If you want to learn more about inverse variations:

brainly.com/question/6499629

#SPJ1

7 0
2 years ago
The center of a circle is at (−3, 1) and its radius is 9.
pickupchik [31]

Answer:

Sorry but the correct answer is (x+3)2+(y−1)2=81

Step-by-step explanation:

Because the radius squared is the answer of the equation

4 0
3 years ago
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