3 years ago

Order of Operations Question P E M D A S

Mathematics

2 answers:

Evgesh-ka [11]3 years ago

5 0

Answer:

Step-by-step explanation:

Art [367]3 years ago

4 0

Answer:

Step-by-step explanation:

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Which expression is equivalent to 60 Σ n=1 (2n − 1)2 ? Check all that apply.

Hunter-Best [27]

9514 1404 393

Answer:

B, D

Step-by-step explanation:

The quadratic expands to ...

(2n -1)² = (2n)² +2(2n)(-1) +(-1)² = 4n² -4n +1

The coefficients can be factored out of the sum, so ...

∑(4n²) = 4∑n² for example

The sum of 60 ones is 60:

$\displaystyle\sum_{n=1}^{60}{1}=1+1+1+\dots+1=60$

So, the sum can be written as ...

$\displaystyle\sum_{n=1}^{60}{(2n-1)^2}\\\\=\boxed{4\sum_{n=1}^{60}{n^2}-4\sum_{n=1}^{60}{n}+\sum_{n=1}^{60}{1}}\\\\=\boxed{4\sum_{n=1}^{60}{n^2}-4\sum_{n=1}^{60}{n}+60}$

_____

It appears that the key to choosing the correct answers is paying attention to signs.

7 0

3 years ago

Read 2 more answers

Two times the difference of a number and four is the same as five less than the number

otez555 [7]

Your answer should be 2(x-4)=5-x

8 0

3 years ago

Use the discriminant to find the number of real solutions of the equation 3x2 – 5x + 4 = 0. Show your work.

abruzzese [7]

So the equation to find the discriminant is $b^2-4ac$ , with a = x^2 coefficient, b = x coefficient, and c = constant. Using that formula, our equation is $(-5)^2-4*3*4$