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2 years ago

Determine the number of real solutions of -2x^2+ 5x – 3 = 0. 2 1 (double root) 5 0

Mathematics

1 answer:

Svetllana [295]2 years ago

5 0

Answer:

${ \tt{ - 2 {x}^{2} + 5x - 3 = 0 }} \\ { \tt{2 {x}^{2} - 5x + 3 = 0}} \\ { \tt{(2x - 3)(x - 1) = 0}} \\ { \tt{x = \frac{3}{2} \: and \: 1}}$

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Find the slope of the line with the given equation. Show your work.<br> 6x – 2y = 18

Vera_Pavlovna [14]

Currently the equation 6x - 2y = 18 is in standard form. Convert the standard form equation into a slope-intercept form and we can find the slope easily.

Solve for y.

6x - 2y = 18
-2y = 18 - 6x <-- Subtract 6x from each side. This is to isolate the 2y term
2y / -2 = $\frac{18 - 6x}{2}$ <-- Divide each side by 2. This it to
get rid of the 2 coefficient.
y = -9 + 3x

Rearrange the right-hand side a bit.

y = -9 + 3x becomes y = 3x - 9

Now it is in slope-intercept form.
The slope is the coefficient of the x variable.

So, 3 is the slope.

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3 years ago

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Mars2501 [29]

Answer:

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Step-by-step explanation:

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2 years ago

Using the segment addition postulate, which is true? A number line going from negative 9 to positive 9. A closed circle appears

MArishka [77]

Answer:

BC + CD = BD

Step-by-step explanation:

The segment addition postulate tells you that when a segment is divided into two parts, the sum of the lengths of the first part of the divided segment and the second part of the divided segment will be equal to the length of the whole segment.

If point C divides segment BD into BC and CD, then the sum of those two segments will match the whole.

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3 years ago

Read 2 more answers

Which function describes the arithmetic sequence shown<br><br> -1, 1, 3, 5, 7, 9, 11, 13, ...

riadik2000 [5.3K]

Answer:

f(n) = 2n - 3 describes the arithmetic sequence,

-1, 1, 3, 5, 7, 9, 11, 13,.......

Step-by-step explanation:

Function:

A function is like a machine that gives an output for a given input.

A function has an independent variable which is called the input of the function.

The output for a given input is called the dependent variable.

Here. 'n' is the independent variable

f(n) is the function dependent variable i.e function of n as an output.

For Arithmetic sequence

$a_{n}= a_{1} + (n-1)d$

Where

$a_{n}$ = nth number of the sequence.

a₁ = First term

d = common difference = a₂ - a₁ = a₃ - a₂ = so on

For a function which describes Arithmetic sequence,

a₁ = -1

d = 1 - -1 =2

∴ f(n) = a₁ + (n -1 )d

substituting the values we get

∴ f(n) = -1 +(n-1)2

using distributive property

∴ f(n) = - 1 + 2n - 2

∴ f(n) = 2n - 3 ..........is the required function

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2 years ago

Here 1 more than BIG PRIZE

Firlakuza [10]

Hey there! :D

Use the distributive property.

a(b+c)= ab+ac

6(9x+2)+2x

54x+12+2x

56x+ 12 <== equivalent expression

I hope this helps!
~kaikers

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3 years ago