What are the best tips to score more than 90% in the class 10 cbse board exams 2021-2022, I'm really nervous

Mathematics

1 answer:

Nataliya [291]2 years ago

7 0

Answer:

Take exam

Step-by-step explanation:

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Which of the following expressions correctly uses the properties of summations to represent

madam [21]

Answer:

Option C is correct.

$7 \cdot \sum_{i=1}^{18} i^2 + 9 \cdot 18$

Step-by-step explanation:

Given the expression: $\sum_{i=1}^{18} (7i^2+9)$

Using properties of summation:

$\sum_{i=1}^{n} (a+bi) =\sum_{i=1}^{n} a + \sum_{i=1}^{n} bi$

$\sum_{i=1}^{n} a = an$

Using properties of summation in the given expression we have;

$\sum_{i=1}^{18} (7i^2+9)$

= $\sum_{i=1}^{18} 7i^2 + \sum_{i=1}^{18} 9$

= $7 \cdot \sum_{i=1}^{18} i^2 + 9 \cdot 18$

Therefore, the following given expression uses the properties of summation to represents is, $7 \cdot \sum_{i=1}^{18} i^2 + 9 \cdot 18$

8 0

2 years ago

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Solve the equation<br> 42x + 7 = 16

ehidna [41]

Answer:

should get 0.2 hope this helps you!

Step-by-step explanation:

7 0

2 years ago

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How would the expression x^3+64 be rewritten using sum off cubes

Mamont248 [21]

$\bf \textit{difference of cubes}
\\ \quad \\
a^3+b^3 = (a+b)(a^2-ab+b^2)\qquad
(a+b)(a^2-ab+b^2)= a^3+b^3 \\ \quad \\
a^3-b^3 = (a-b)(a^2+ab+b^2)\qquad
(a-b)(a^2+ab+b^2)= a^3-b^3\\\\
-------------------------------\\\\
\boxed{64=4^3}\qquad x^3+64\implies x^3+4^3\implies (x+4)(x^2-x4+4^2)
\\\\\\
(x+4)(x^2-4x+16)$