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4 years ago

Use Pascal’s Triangle to determine the third term of the expansion of (x + 3)3

1 answer:

5 0

The terms that come from expansion through Pascal's Triangle are x^3+9x^2+27x+27. The third term in this sequence is 27x. This is your answer.

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3 (5р — 3) = 5 (p — 1)

Akimi4 [234]

Answer:

15p-9=5p-5

Step-by-step explanation:

i expanded the brackets I think this is correct if you wanted to expand it

8 0

3 years ago

Dave ordered dinner for a party of 10 people. Three people ordered the $4.75 chicken dinner, two people ordered the $4.95 fish d

postnew [5]

Answer:

The average cost of each dinner at Dave's party is <u>$5.79</u>.

Step-by-step explanation:

Given:

Dave ordered dinner for a party of 10 people.

Three people ordered the $4.75 chicken dinner, two people ordered the $4.95 fish dinner, and five had the beef dinner at a cost of $6.75 each.

Now, to find the average cost of each dinner at Dave's party.

So, we get the total amount for the dinner:

Three people ordered the $4.75 chicken dinner.

$4.75\times 3=14.25$

Two people ordered the $4.95 fish dinner.

$4.95\times 2=9.90$

Five had the beef dinner at a cost of $6.75.

$6.75\times 5=33.75$

Total amount of dinner = $14.25+9.90+33.75=\$57.90.$

Now, to get the average cost of each dinner of 10 people we divide the total amount of dinner by 10:

$57.90\div 10$

$=\$5.79.$

Therefore, the average cost of each dinner at Dave's party is $5.79.

7 0

3 years ago

Find the equation of the line that is perpendicular to y = 1/4 x – 2 and passes though the point (5, –2).

zlopas [31]

$\textsf{Let y = ax + b the line we want to find.}$

$\textsf{We know that the slope of y = ax + b is the inverse of the slope of } \mathsf{ y = \frac{1}{4}x - 2.}$

$\textsf{Thus:}$

$\mathsf{a = \dfrac{1}{\frac{1}{4}} = 4}$

$\textsf{As y = 4x + b passes thought (5, -2):}$

$\mathsf{-2 = 4 \cdot 5 + b \Rightarrow 20 + b = -2 \Rightarrow b = -22}$

$\textsf{Hence the line y = 4x - 22 is perpendicular to }\mathsf{y=\frac{1}{4}x - 2}\textsf{ and passes for the point (5, -2).}$

6 0

3 years ago

Read 2 more answers

The number 75 can be written as the sum of the squares of 3 different positive integers. what is the sum of these 3 integers? 17

ioda

$75=7^2+5^2+1^1\\\\ 7+5+1=13$

6 0

3 years ago

Find the range, variance, and standard deviation for the given sample data, if possible. If the measures of variation can be o

zimovet [89]

Answer:

Range = 3

Variance = 0.6475

Standard Deviation = 0.804

Step-by-step explanation:

The steps and tables is shown in the attachment.

5 0

3 years ago