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3 years ago

7

Which expression is equivalent to 2x^2 – 2x + 7?

2 answers:

Lina20 [59]3 years ago

5 0

Answer:

The answer is = (2±√52i)/4

Step-by-step explanation:

Given the expression 2x²-2x+7, to find the equivalent expression, we will need to factorize the given equation completely to have;

2x²-2x+7

Using the general formula

x = -b±√b²-4ac/2a

From the equation, a= 2, b= -2 and c = 7

x = -(-2)±√(-2)²-4(2)(7)/2(2)

x = 2±√4-56/4

x = 2±√-52/4

x = (2±√52i)/4 where I is a complex number since √-1 = i

serious [3.7K]3 years ago

4 0

2x^2 - 2x + 7 = 2(x^2 -x +3) + 1 = 2(x-0.5)^2 + 17/6

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Radio tower had a special on rechargeable batteries. It sold AA for $1 and AAA for $0.75. It sold 42 batteries on a single day a

PIT_PIT [208]

AA = $1
AAA= $0.75

AA + AAA = 42

$1AA + $0.75AAA= $37

AA + AAA = 42
AA + AAA-AAA= 42- AAA
AA = 42- AAA

$1(42- AAA) + $0.75AAA= $37
$42 - AAA +0.75AAA = $37
$42 -0.25AAA= $37
$42-$42 -0.25AAA= $37 -$42
-0.25AAA= -5
-0.25AAA/-0.25 = -5/-0.25
AAA= 20

AA + AAA= 42
AA + 20 = 42
AA +20 -20 = 42-20
AA= 22

Check
$1AA + $0.75AAA= $37
$1(22)+ $0.75(20)= $37
$22 + $15 =$37
$37 = $37

5 0

3 years ago

Can you help me solve this ?<br>

Lerok [7]

The answer is 1.06841

7 0

2 years ago

Read 2 more answers

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Vinvika [58]

Hi,

Work:

Equation;

$y = \frac{2x}{1 + {x}^{2} }$

Root = (0, 0)
Domain: x = R
Vertical Intercept = (0, 0)

Hope this helps.
r3t40

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2 years ago

Can someone plz help me with this!

asambeis [7]

Answer:

(arranged from top to bottom)

System #3, where x=6

System #1, where x=4

System #7, where x=3

System #5, where x=2

System #2, where x=1

Step-by-step explanation:

System #1: x=4

$2x+y=10\\x-3y=-2$

To solve, start by isolating your first equation for y.

$2x+y=10\\y=-2x+10$

Now, plug this value of y into your second equation.

$x-3(-2x+10)=-2\\x+6x-30=-2\\7x=28\\x=4$

System #2: x=1

$x+2y=5\\2x+y=4$

Isolate your second equation for y.

$2x+y=4\\y=-2x+4$

Plug this value of y into your first equation.

$x+2(-2x+4)=5\\x+(-4x)+8=5\\x-4x+8=5\\-3x=-3\\x=1$

System #3: x=6

$5x+y=33\\x=18-4y$

Isolate your first equation for y.

$5x+y=33\\y=-5x+33$

Plug this value of y into your second equation.

$x=18-4(-5x+33)\\x=18+20x-132\\-19x=-114\\x=6$

System #4: all real numbers (not included in your diagram)

$y=13-2x\\8x+4y=52$

Plug your value of y into your second equation.

$8x+4(13-2x)=52\\8x+52-8x=52\\0=0$

<em>all real numbers are solutions</em>

System #5: x=2

$x+3y=5\\6x-y=11$

Isolate your second equation for y.

$6x-y=11\\-y=-6x+11\\y=6x-11$

Plug in your value of y to your first equation.

$x+3(6x-11)=5\\x+18x-33=5\\19x=38\\x=2$

System #6: no solution (not included in your diagram)

$2x+y=10\\-6x-3y=-2$

Isolate your first equation for y.

$2x+y=10\\y=-2x+10$

Plug your value of y into your second equation.

$-6x-3(-2x+10)=-2\\-6x+6x-30=-2\\-30=-2$

<em>no solution</em>

System #7: x=3

$y=10+x\\2x+3y=45$

Plug your value of y into your second equation.

$2x+3(10+x)=45\\2x+30+3x=45\\5x=15\\x=3$

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2 years ago

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stepan [7]

Answer:

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Step-by-step explanation:

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3 years ago