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nevsk [136]
3 years ago
6

Please solve this a+7=2​

Mathematics
2 answers:
finlep [7]3 years ago
5 0
A+7 -7=2 -7
so basically A equals -5
Darya [45]3 years ago
3 0

Answer:

a=-5

Step-by-step explanation:

a<u>+7</u>=2

move the constant to the right

a=2<u>-7</u>

then calculate the difference

a=-5

So <u>a=-5 </u> is your answer

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If p is a polynomial show that lim x→ap(x)=p(a
Lostsunrise [7]

Let p(x) be a polynomial, and suppose that a is any real number. Prove that

lim x→a p(x) = p(a) .

 

Solution. Notice that

 

2(−1)4 − 3(−1)3 − 4(−1)2 − (−1) − 1 = 1 .

 

So x − (−1) must divide 2x^4 − 3x^3 − 4x^2 − x − 2. Do polynomial long division to get 2x^4 − 3x^3 − 4x^2 – x – 2 / (x − (−1)) = 2x^3 − 5x^2 + x – 2.

 

Let ε > 0. Set δ = min{ ε/40 , 1}. Let x be a real number such that 0 < |x−(−1)| < δ. Then |x + 1| < ε/40 . Also, |x + 1| < 1, so −2 < x < 0. In particular |x| < 2. So

 

|2x^3 − 5x^2 + x − 2| ≤ |2x^3 | + | − 5x^2 | + |x| + | − 2|

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= 40

 

Thus, |2x^4 − 3x^3 − 4x^2 − x − 2| = |x + 1| · |2x^3 − 5x^2 + x − 2| < ε/40 · 40 = ε.

3 0
3 years ago
-3 &lt; 5c + 7 &lt; 22<br> algebra
Alexus [3.1K]

Answer:=

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Interval Notation: (-2,3)

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combine the intervals

c>-2 and c<3

-2<c<3

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