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3 years ago

The parent function of the function g(x) = (x – h)2 + k is f(x) = x2. The vertex of the function g(x) is located

Mathematics

1 answer:

Katen [24]3 years ago

7 0

9514 1404 393

Answer:

(h, k) = (9, -8)

Step-by-step explanation:

The function g(x) is "vertex form" for a quadratic whose vertex is (h, k). We are told the vertex is (9, -8), so we have ...

(h, k) = (9, -8) . . . . the values of h and k

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A purple paint is made by mixing 15oz of of red paint,and 5oz of boue paint. What percent of the paint is blue paint.

ZanzabumX [31]

Answer: 25%

<u>Step-by-step explanation:</u>

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3 years ago

Select the lengths in centimeters that would form a right triangle

Ivenika [448]

Answer:

9, 40 and 41

Step-by-step explanation:

All right triangle have lengths that follow the Pythagorean Theorem (a²+b² = c²). Right triangles have one angle equal to 90°. The two shorter sides form the right angle and the side opposite the right angle is called the hypotenuse.

Using the lengths given, we can use guess and check to see what sum of two sides squared would equal a third side, or just plug them into the equation: a²+b² = c² and see what lengths fit this equation.

I recommend starting with squares you are familiar with:

9² + 40²= 81 + 1600 = 1681

Now, take the √1681 to find the length of 'c', or the hypotenuse:

√1681 = 41

Since these three lengths fit the Pythagorean Theoreom, the would form a right triangle.

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3 years ago

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3 years ago

Find the value of m for which mx^2 - 6x + 5 = 0 has one solution.

insens350 [35]

Answer:

m = $\frac{9}{5}$

Step-by-step explanation:

Given a quadratic equation in standard form ax² + bx + c = 0 ( a ≠ 0)

Then the discriminant Δ = b² - 4ac gives information on the nature of the solutions.

For the equation to have 1 solution we require b² - 4ac = 0

mx² - 6x + 5 = 0 ← is in standard form

with a = m, b = - 6, c = 5, then

b² - 4ac = 0

(- 6)² - (4 × m × 5) = 0

36 - 20m = 0 ( subtract 36 from both sides )

- 20m = - 36 ( divide both sides by - 20 )

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3 years ago

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SVEN [57.7K]

Answer:

integer

Step-by-step explanation:

it is an integer

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3 years ago

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