How to solve this- (2y-1)^2-4(2y-1) +4

1 answer:

5 0

Step by Step Solution
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STEP
1
:
Equation at the end of step 1

(((2y - 1)2) - 4 • (2y - 1)) + 4
STEP
2
:

Trying to factor by splitting the middle term

2.1 Factoring 4y2-12y+9

The first term is, 4y2 its coefficient is 4 .
The middle term is, -12y its coefficient is -12 .
The last term, "the constant", is +9

Step-1 : Multiply the coefficient of the first term by the constant 4 • 9 = 36

Step-2 : Find two factors of 36 whose sum equals the coefficient of the middle term, which is -12 .

-36 + -1 = -37
-18 + -2 = -20
-12 + -3 = -15
-9 + -4 = -13
-6 + -6 = -12 That's it

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2 years ago

HELP PLEASE Sam and George both worked hard over the summer. Together they earned a total of $525. George earned $75 more than S

ZanzabumX [31]

Answer: Sam = $225 George = $300

<u>Step-by-step explanation:</u>

NOTES:

Sam: s

George: g = s + 75

Together: s + g = 525

The two equations that can be created are "George" and Together"

The system is: $\left \{ {{\text{g = s + 75}} \atop {\text{s + g = 525}}} \right.$

see attached graph

The intersection of the two lines is at (225, 300). Since Sam represented the x-axis and Georege represented the y-axis, then Sam = $225 and George = $300.

BONUS:

This system can also be solved algebraically using the substitution method.

Replace "g" with "s + 75" into the second equation:

s + (s + 75) = 525

2s + 75 = 525

2s = 450

s = 225

Next, input the s-value into the George equation to solve for g:

g = s + 75 = (225) + 75 = 300

5 0

2 years ago

For the straight line defined by the points (4,57) and (6,91) , determine the slope ( m ) and y-intercept ( ???? ). Do not round

Ksivusya [100]

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