X^4+ 3x^3+4x^2-8 | x+2 = x^3+x^2+2x-4
-x^4-2x^3
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x^3+4x^2-8
-x^3-2x^2
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2x^2-8
-2x^2-4x
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-4x-8
4x+8
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/ /
is a factor because (x+2)(x^3+x^2+2x-4)=x^4+3x^3+4x^2-8
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Answer:
If a≠0, x=
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Step-by-step explanation:
If a=0 then ax+7=3 then 0+7=3 then 7=3 impossible.
If a≠0 then ax+7=3 ⇔ ax=3-7 ⇔ ax= -4 ⇔ x= -4/a.
:)
Im pretty sure it’s 1 don’t be mad if it’s not pls
Answer:
x = 5/39
, y = 539/39
Step-by-step explanation:
Solve the following system:
{y - 2.5 x = 13.5
12.25 x - y = -12.25
In the first equation, look to solve for y:
{y - 2.5 x = 13.5
12.25 x - y = -12.25
y - 2.5 x = y - (5 x)/2 and 13.5 = 27/2:
y - (5 x)/2 = 27/2
Add (5 x)/2 to both sides:
{y = 1/2 (5 x + 27)
12.25 x - y = -12.25
Substitute y = 1/2 (5 x + 27) into the second equation:
{y = 1/2 (5 x + 27)
1/2 (-5 x - 27) + 12.25 x = -12.25
(-5 x - 27)/2 + 12.25 x = 12.25 x + (-(5 x)/2 - 27/2) = 9.75 x - 27/2:
{y = 1/2 (5 x + 27)
9.75 x - 27/2 = -12.25
In the second equation, look to solve for x:
{y = 1/2 (5 x + 27)
9.75 x - 27/2 = -12.25
9.75 x - 27/2 = (39 x)/4 - 27/2 and -12.25 = -49/4:
(39 x)/4 - 27/2 = -49/4
Add 27/2 to both sides:
{y = 1/2 (5 x + 27)
(39 x)/4 = 5/4
Multiply both sides by 4/39:
{y = 1/2 (5 x + 27)
x = 5/39
Substitute x = 5/39 into the first equation:
{y = 539/39
x = 5/39
Collect results in alphabetical order:
Answer: {x = 5/39
, y = 539/39
Answer:
Penn and other Quakers believed that everyone had to seek God in his or her own way. Penn also thought that religious tolerance – or “liberty of conscience” – would create stronger governments and wealthier societies. Other English thinkers in the 1600s shared these ideas. But Penn had the opportunity to act on his beliefs. In Pennsylvania, religious tolerance was the law.
Penn welcomed settlers from all faiths to Pennsylvania. Each of the other American colonies had established an official church, but Penn did not. He sought out religious groups suffering in Europe, and invited them to his colony. He even gave some groups land. Yet religious tolerance did not mean that colonists of all faiths had equal rights. Only Christians could vote or hold political office. But all settlers could take part in the social and economic life of Pennsylvania.
Penn’s belief that “Religion and Policy…are two distinct things, have two different ends, and may be fully prosecuted without respect on to the other” took hold and became one of America’s most important ideals.
<u>I hope this is enough or u can get ur answer out of it :)</u>
