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3 years ago

How do you factor 6x² +7x-3? Please show the steps!

Mathematics

1 answer:

Gnesinka [82]3 years ago

4 0

$6x^2+7x-3=\ \ \ \ | write\ 7x\ as\ -2x+9x\\\\ 6x^2-2x+9x-3=0\\\\ 2x(3x-1)+3(3x-1)=0\\\\\boxed{(2x+3)(3x-1)}=0$

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18.5%
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3 years ago

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An engineer measures the peak current (in microamps) when a solution containing an amount of nickel (in parts per 106 ) is added

dangina [55]

Answer:

B. decrease the intercept, increase the slope

Step-by-step explanation:

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3 years ago

The larger of two numbers is 33 more than the smaller. When added together, the sum of the larger number and five times the smal

VARVARA [1.3K]

Step-by-step explanation:

let the larger number be x and smaller number be y

according to this question

x=y+33----------(1)

y+33+5y=129----------(2)

6y+33=129

y=16

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3 years ago

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Factor the expression completely. 625x4 - 256y4

scoundrel [369]

Answer:

(625 • (x4)) - 28y4

54x4 - 28y4 3.1 Factoring: 625x4-256y4

Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)

Proof : (A+B) • (A-B) =

A2 - AB + BA - B2 =

A2 - AB + AB - B2 =

A2 - B2Note : AB = BA is the commutative property of multiplication.

Note : - AB + AB equals zero and is therefore eliminated from the expression.

Check : 625 is the square of 25

Check : 256 is the square of 16

Check : x4 is the square of x2

Check : y4 is the square of y2

Factorization is : (25x2 + 16y2) • (25x2 - 16y2) 3.2 Factoring: 25x2 - 16y2

Check : 25 is the square of 5

Check : 16 is the square of 4

Check : x2 is the square of x1

Check : y2 is the square of y1

Factorization is : (5x + 4y) • (5x - 4y)this is the answer: (25x2 + 16y2) •(5x + 4y) • (5x - 4y)

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3 years ago

Hep asappppppppppppp

schepotkina [342]

Answer:

(6 , -1)

Step-by-step explanation:

2x+ y = 11 ----------------(I)

y = 11 - 2x --------------------(II)

$\frac{1}{2}x - 5y = 8$

Multiply the whole equation by 2

$2*\frac{1}{2}x -2*5y = 2*8$

x - 10y = 16 --------------------(III)

Substitute y = 11- 2x in equation (III)

x - 10(11 - 2x) = 16

x - 110 + 20x = 16

21x - 110 = 16

21x = 16 +110

21x = 126

x = 126/21

x = 6

Plugin x = 6 in equation (II)

y = 11 - 2*6

y = 11 - 12

y = -1

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2 years ago