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3 years ago

Help Me on these questions!!!!!!!

Mathematics

2 answers:

Mama L [17]3 years ago

7 0

11 lunches and 10 desserts Monday at Ava's cafe and 10lunches and10 desserts Friday at Bo's cafe

iren [92.7K]3 years ago

6 0

On Monday, 11 lunches and 10 desserts are ordered. On Friday, 10 lunches and 10 desserts are ordered.

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Find the first four terms of the sequence<br> An=2a n-1,where a1=3

yKpoI14uk [10]

The first four terms of the sequence are 3 , 6 , 12 , 24

Step-by-step explanation:

We need to find the first four terms of the sequence $a_{n}=2a_{n-1}$

where $a_{1}=3$ to find them do that

Substitute n by 2 in the rule to find $a_{2}$
Substitute n by 3 in the rule to find $a_{3}$
Substitute n by 4 in the rule to find $a_{4}$

∵ $a_{n}=2a_{n-1}$

- Substitute n by 2 to find the 2nd term

∴ $a_{2}=2a_{2-1}$

∴ $a_{2}=2a_{1}$

∵ $a_{1}=3$

∴ $a_{2}=2(3)$

∴ $a_{2}=6$

- Substitute n by 3 to find the 3rd term

∴ $a_{3}=2a_{3-1}$

∴ $a_{3}=2a_{2}$

∵ $a_{2}=6$

∴ $a_{3}=2(6)$

∴ $a_{3}=12$

- Substitute n by 4 to find the 4th term

∴ $a_{4}=2a_{4-1}$

∴ $a_{4}=2a_{3}$

∵ $a_{3}=12$

∴ $a_{4}=2(12)$

∴ $a_{4}=24$

The first four terms of the sequence are 3 , 6 , 12 , 24

Learn more:

You can learn more about the sequences in brainly.com/question/1522572

#LearnwithBrainly

3 0

3 years ago

The function f is linear. If f(2) = 2 and f(-6)=6 find f(6)

lina2011 [118]

$The\ slope-intercept\ form:y=mx+b\\\\f(2)=2\to for\ x=2\to y=2\\f(-6)=6\to for x=-6\to y=6\\\\put\ in\ equation\ of\ the\ line:\\\\ -\left\{\begin{array}{ccc}2=2m+b\\6=-6m+b\end{array}\right\ \ \ |subtract\ sides\ of\ the\ equations\\----------\\.\ \ \ -4=8m\ \ \ \ \ |divide\ both\ sides\ by\ 8\\.\ \ \ \ \boxed{m=-\frac{1}{2}}\\\\put\ m=-\frac{1}{2}\ to\ equation\ 2=2m+b:\\\\2=2\cdot(-\frac{1}{2})+b\\2=-1+b\ \ \ \ |add\ 1\ to\ both\ sides\\\boxed{b=3}\\\\\boxed{\boxed{y=-\frac{1}{2}x+3}}$

$therefore:f(x)=-\frac{1}{2}x+3\Rightarrow f(6)=-\frac{1}{2}\cdot6+3=-3+3=0\\\\Answer:\boxed{f(6)=0}$

5 0

2 years ago

Use the elimination method to solve the system of equations. Choose the correct ordered pair.

Mashcka [7]

8x - y = 54
8x + 2y = 60

subtracting, we get -3y = -6
y = 2
x = 7

Answer is (c) (7,2)

3 0

3 years ago

Read 2 more answers

Explain the process for finding the product of 2 integers

crimeas [40]

Product means to multiply. Integers are whole numbers, so the process would be to multiply the numbers.

3 0

2 years ago

A cylindrical cardboard tube with a diameter of 8 centimeters and a height of 20 centimeters is used to package a gift. What is

Usimov [2.4K]

The volume of a cylinder can be calculated by multiplying the area of its base times the height. It is calculated as follows:

V = πr²h
V = π(8/2)²(20)
V = 1005.31 cm³

Therefore, the correct answer is option 1. Hope this answers the question. Have a nice day.

8 0

3 years ago

Read 2 more answers