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natima [27]
2 years ago
9

Given that ∫51f(x)dx=1,∫53 f(x)dx=3 and ∫61f(x)dx=9 find ∫63 f(x)dx.

Mathematics
1 answer:
ELEN [110]2 years ago
6 0
\displaystyle\int_1^6=\int_1^5+\int_5^6\implies\int_5^6=9-1=8

\displaystyle\int_3^6=\int_3^5+\int_5^6=3+8=11
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Simplify the expression 2³ × 2² A. 4⁵ B. 2⁶ C. 4⁶ D. 2⁵
mixer [17]

Answer:

2^5

Step-by-step explanation:

The base is the same

2^3 * 2^2

We are multiplying, so we can add the exponents

2^3 * 2^2 = 2^(3+2) = 2^5

3 0
3 years ago
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HELPPPPPPPPPPPPPPPPPPPPPPPPPP<br> complete the synthetic division below
soldi70 [24.7K]

The quotient in polynomial form is C. x² - x ₊ 1.

<h3>What is synthetic division?</h3>

In algebra, synthetic division is a method for manually performing Euclidean division of polynomials, with less calculation than long division.

The given problem is-

-3 | 1  2  -2  3

Using synthetic division method,

-3 | 1  2  -2  3

   <u>|   -3    3  3 </u>

   |1   -1    1  6

So, the remainder from the calculation is 6 .

And the quotient polynomial is x² - x ₊ 1.

Hence, the correct answer for the given question is C. x² - x ₊ 1

More about Synthetic division method :

brainly.com/question/12642065

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4 0
1 year ago
A/20 + 14/15 = 9/15 <br><br> Can i get some help?
KiRa [710]
Method 1:

\dfrac{a}{20}+\dfrac{14}{15}=\dfrac{9}{15}\ \ \ \ |multiply\ both\ sides\ by\ 60\\\\60\cdot\dfrac{a}{20}+60\cdot\dfrac{14}{15}=60\cdot\dfrac{9}{15}\\\\3a+4\cdot14=4\cdot9\\\\3a+56=36\ \ \ \ |subtract\ 56\ from\ both\ sides\\\\3a=-20\ \ \ \ |divide\ both\ sides\ by\ 3\\\\\boxed{a=-\frac{20}{3}\to a=-6\frac{2}{3}}

Method 2.

\dfrac{a}{20}+\dfrac{14}{15}=\dfrac{9}{15}\ \ \ \ |subtract\ \dfrac{14}{15}\ form\ both\ sides\\\\\dfrac{a}{20}=-\dfrac{5}{15}\\\\\dfrac{a}{20}=-\dfrac{1}{3}\ \ \ \ |multiply\ both\ sides\ by\ 20\\\\\boxed{a=-\dfrac{20}{3}\to a=-6\frac{2}{3}}
3 0
3 years ago
Explain why it is usually only necessary to test one point when graphing an inequality
Mars2501 [29]
Because if that point is true than everything on that side of the number line is true. Visa versa.
4 0
3 years ago
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olga2289 [7]

Answer:

The answer is C. -3/4x+4

Step-by-step explanation:

5 0
3 years ago
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