1 year ago

Which of the following numbers is shown plotted on the number line ?

Mathematics

1 answer:

Stolb23 [73]1 year ago

5 0

-15/7…………………………………………………..

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Solve y=-3x² + 4.5x – 20<br> Use the Quadratic formula

statuscvo [17]

Answer:

$x=0.75 \pm 2.47067i$

Step-by-step explanation:

Quadratic Formula: $x=\frac{-b \pm \sqrt{b^2-4ac} }{2a}$

√-1 is imaginary number i

Step 1: Define

y = -3x² + 4.5x - 20

a = -3

b = 4.5

c = -20

Step 2: Substitute and Evaluate

$x=\frac{-4.5 \pm \sqrt{4.5^2-4(-3)(-20)} }{2(-3)}$

$x=\frac{-4.5 \pm \sqrt{20.25-240} }{-6}$

$x=\frac{-4.5 \pm \sqrt{-219.75} }{-6}$

$x=\frac{-4.5 \pm \sqrt{219.75}(\sqrt{-1} ) }{-6}$

$x=\frac{-4.5 \pm i\sqrt{219.75} }{-6}$

$x=\frac{4.5 \pm i14.824 }{6}$

$x=0.75 \pm 2.47067i$

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2 years ago

Can someone please help me

Talja [164]

a^2 + b^2 = c^2

65^2 + 34^2 = c^2

4225 + 1156 = c^2

5381 = c^2

c ≈ 73.3552997404

Hope this helps! ;)

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3 years ago

The product of two numbers is 713. The first number is 9 more than the second number. Which equation can be used to find x, the

Art [367]

Let x = first number and y = second number.
The first statement is expressed as
x*y = 713
The second statement is expressed as
x = y + 9
To find x, use the second equation in terms of y, that is y = x - 9. Then substituting it to the first equation yields
x*(x - 9) = 713

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Answer:

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