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3 years ago

Write the quadratic equation whose roots are 4 and 5, and whose leading coefficient is 4.

Mathematics

1 answer:

Umnica [9.8K]3 years ago

3 0

Answer:

Answer: 4x² - 9x + 20 

Step-by-step explanation:

• General quadratic equation:

${ \rm{ {x}^{2} - (sum \: of \: roots)x + (product \: of \: roots) }}$

• sum of roots → 4 + 5 = 9

• product of roots → 4 × 5 = 20

• substitute:

${ \boxed{ \rm{4 {x}^{2} - 9x + 20 }}}$

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3 years ago

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jasenka [17]

12.5% of 360 is 45
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3 years ago

Which equation represents a line which is perpendicular to the x-axis?

nikklg [1K]

Y= 4 is perpendicular to the x- axis

The x- axis is the horizontal line, and the y- axis is the vertical line

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2 years ago

<img src="https://tex.z-dn.net/?f=3%20%5Ctimes%204x%20%5Ctimes%202y" id="TexFormula1" title="3 \times 4x \times 2y" alt="3 \time

Dahasolnce [82]

Answer:

24 x y

Step-by-step explanation:

Simplify the following:

3×4×2 x y

Hint: | Multiply 3 and 4 together.

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12×2 x y

Hint: | Multiply 12 and 2 together.

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Answer: 24 x y

5 0

3 years ago

4. Here are the equations that define three functions.

luda_lava [24]

The functions f(x), g(x) and h(x) are all linear functions

The function value that is largest is h(-100)
The function value that is largest is h(-100)
The function value that is largest is f(1/100)

<h3>How to determine the function with the largest values</h3>

The functions are given as:

$f(x) = 4x - 5$

$g(x) = 4(x - 5)$

$h(x) = x/4 -5$

At x = 100, we have:

$f(100) = 4 * 100 - 5 = 395$

$g(100) = 4 * (100 - 5) = 380$

$h(100) = 100/4 - 5 = 20$

Hence, the function value that is largest is f(100)

At x = -100, we have:

$f(-100) = -4 * 100 - 5 = -405$

$g(-100) = 4 * (-100 - 5) = -420$

$h(-100) = -100/4 - 5 = -30$

Hence, the function value that is largest is h(-100)

At x = 1/100, we have:

$f(1/100) = 4/100 - 5 = -4.96$

$g(1/100) = 4 * (1/100 - 5) = -19.96$

$h(1/100) = (1/100)/4 - 5 = -4.9975$

Hence, the function value that is largest is f(1/100)

Read more about linear functions at:

brainly.com/question/15602982

5 0

2 years ago