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3 years ago

Which shows 542 − 462 being evaluated using the difference of squares method?

2 answers:

tatiyna3 years ago

8 0

The difference of squares method:
a² - b² = (a-b ) (a+b)
54² - 46² = (54+46) · ( 54 + 46 )= 100 · 8 = 800
Answer: B)

Andrei [34K]3 years ago

3 0

Answer: $54^2-46^2=(54+46)(54-46)$

$=(100)(8)=800$

Step-by-step explanation:

The method finding difference of squares is given by :-

$a^2-b^2=(a+b)(a-b)$

Replace a=54 and b=46, then we get the evaluation of $54^2-46^2$ by using the difference of squares method as :

$54^2-46^2=(54+46)(54-46)$

$=(100)(8)=800$

Hence, the second option is the correct option.

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Arithmetic sequences et sn} be an arithmetic sequence that starts with an initial index of 0. The initial term is 3 and the comm

navik [9.2K]

Answer:

(a) The value of $s_z$ is (z+1)(3-z).

(b) The next term in the sequence is -2.

Step-by-step explanation:

(a)

It is given that arithmetic sequence that starts with an initial index of 0.

The initial term is 3 and the common difference is -2.

$a_0=3$

$d=-2$

We need to find the value of $s_z$ .

$s_z=\sum_{n=0}^{n=z}(a+nd)$

where, a is initial term and d is common difference.

$s_z=\sum_{n=0}^{n=z}(3-2n)$

The sum of an arithmetic sequence with initial index 0 is

$s_n=\frac{n+1}{2}[2a+nd]$

where, a is initial term and d is common difference.

Substitute n=z, a=3 and d=-2 in the above formula.

$s_z=\frac{z+1}{2}[2(3)+z(-2)]$

$s_z=\frac{z+1}{2}[2(3-z)]$

$s_z=(z+1)(3-z)$

Therefore the value of $s_z$ is (z+1)(3-z).

(b)

The given arithmetic sequence is

7, 4, 1, ...

We need to find the term in the sequence.

In the given arithmetic sequence the first term is

$a=7$

The common difference of the sequence is

$d=a_2-a_1\Rightarrow 4-7=-3$

The first term is 7 and common difference is -3.

Add common difference in last given term, i.e., 1, to find the next term of the sequence.

$1+(-3)=1-3=-2$

Therefore the next term in the sequence is -2.

3 0

3 years ago

Rory's number is 0.3 larger than Lori's number, and the sum of their numbers is 13. What is ten times Lori's number multiplied b

SashulF [63]

Answer:

256032

Step-by-step explanation:

13-.03 is 12.7

12.7 x 10= 127

127 x 2016= 256032

Weird question, but I hope this helps!

3 0

2 years ago

Select the linear equation represented in the graph.

AleksAgata [21]

Answer:

$y = \frac{1}{2} x + 3$

Step-by-step explanation:

use y = mx + b

slope(m) = $\frac{1}{2}$

y-intercept(b) = 3

so,

$y = \frac{1}{2} x + 3$

6 0

3 years ago

An airport is studying the noise levels of jets during takeoff as they pass over a neighborhood. They find that at the present t

avanturin [10]

Answer: 2.28%

Step-by-step explanation:

Given: An airport find that at the present time, the mean noise level is 103 decibels and the standard deviation is 5.4 decibels.

The distribution of noise levels(x) for all jets during takeoff over the neighborhood has a normal distribution.

The probability that jets have a noise level less than 92.2 decibels when taking off over this neighborhood will be :-

$P(X$

Hence, the percent of these jets have a noise level less than 92.2 decibels when taking off over this neighborhood = 2.28%

6 0

2 years ago

Cindy claims that 4^x/12^x=1/3

pav-90 [236]

A whole number that would support Cindys claim would be 2 because if u do the ,math it would be 8/24 which would be .333 repeating which is simplify to 1/3 and i do not know a number that would not work

4 0

2 years ago