Mathematics, 04.05.2021 02:30, mackdoolittle1
Ophelia was asked whether the following equation is an identity:
2(x-3)(4x-1)=(4x-6)^2-4(6+x)2(xβ3)( 4xβ1)=(4xβ6)
2
β4(6+x)2, left parenthesis, x, minus, 3, right parenthesis, left parenthesis, 4, x, minus, 1, right parenthesis, equals, left parenthesis, 4, x, minus, 6, right parenthesis, squared, minus, 4, left parenthesis, 6, plus, x, right parenthesis
She performed the following steps:
\begin{aligned} &\phantom{=}2(x-3)(4x-1) \xhookrightarrow{\text{Step }1}\quad&=(2x-6)(8x-2) \xhookrightarrow{\text{Step }2}\quad&=16x^2-4x-48x+12 \xhookrightarrow{\text{Step }3}\quad&=16x^2-48x+36-24-4x \xhookrightarrow{\text{Step }4}\quad&=(4x-6)^2-4(6+x) \end{aligned}
Step 1
β
Step 2
β
Step 3
β
Step 4
β
β
=2(xβ3)(4xβ1)
=(2xβ6)(8xβ2)
=16x
2
β4xβ48x+12
=16x
2
β48x+36β24β4x
=(4xβ6)
2
β4(6+x)
β
For this reason, Ophelia stated that the equation is a true identity.
Is Ophelia correct? If not, in which step did she make a mistake?
Choose 1
Choose 1
(Choice A)
A
Ophelia is correct.
(Choice B)
B
Ophelia is incorrect. She made a mistake in step 111.
(Choice C)
C
Ophelia is incorrect. She made a mistake in step 333.
(Choice D)
D
Ophelia is incorrect. She made a mistake in step 444.
Answers: 2
Mathematics, 21.06.2019 23:50, levigabehart
Apolynomial has two terms. check all of the factoring methods that should be considered. common factor difference of cubes sum of cubes difference of squares perfect-square trinomial factoring by grouping
Answers: 3
Mathematics, 22.06.2019 00:00, valenciadewalt25
As a salesperson you get $50/day and $3.60/each sales you make. if you want to make $60 in one day, how many sales would you need need to make ? a 3b 4c 5d 6 show work.
Answers: 1
Mathematics, 22.06.2019 02:30, SunsetPrincess
Carli has 90 apps on her phone. braylen has half the amount of apps as theiss. if carli has three timesthe amount of apps as theiss, how many apps does braylen have? let b represent the number of braylen's apps and t represent the number of theiss's apps.
Answers: 3
Ophelia was asked whether the following equation is an identity:
2(x-3)(4x-1)=(4x-6)^2-4(6+x)2(xβ...
History, 14.11.2019 21:31
Geography, 14.11.2019 21:31
Computers and Technology, 14.11.2019 21:31
Computers and Technology, 14.11.2019 21:31