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Vlada [557]
3 years ago
14

Transformations of Linear Functions

Mathematics
1 answer:
irinina [24]3 years ago
3 0

Answer:

1. lowered one unit

2. raised three units

Step-by-step explanation:

yuhh

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Prove the 'rule of 9': an integer is divisible by 9 if and only if the sum of its integers is divisible by 9.
patriot [66]

Answer:

Rule of 9 : an integer is divisible by 9 if and only if the sum of its integers is divisible by 9.

Proof :

Let us consider a number x such that,

a=a_n......a_3a_2a_2

Where, a_0, a_1, a_2......,a_n are the the digits of the number x,

So, we can write,

x=a_0+a_1\times 10 + a_2\times 10^2 +a_3\times 10^3..........a_n\times 10^n

Let,

S=a_0+a_1+a_2+a_3+.......a_n

x-S=a_1(10-1)+a_2(10^2-1)+a_3(10^3-1)+.......a_n(10^n-1)

Since, a number is in the form of 10^k-1, where k is an positive integer, is always divisible by 9,

⇒ a_1(10-1), a_2(10^2-1), a_3(10^3-1),.......a_n(10^n-1) are divisible by 9.

⇒ x-S is divisible by 9,

⇒ If S is divisible by 9 ⇒ x must divisible by 9,

Or if x is divisible by 9 ⇒ S must divisible by 9.

Hence, proved...

7 0
3 years ago
Kendra is thinking of an integer greater than -3 2/5 and less than -2.7. Which of the following numbers could Kendra be thinking
alexira [117]
-3 2/5< x >-2.7
between those two numbers is your integer which comes to be out of your possible answers is B)-3
5 0
4 years ago
Read 2 more answers
It takes Benjamin 28 minutes to mow 2 lawns. Assuming the lawns are the same size and Benjamin works at the same speed, about ho
podryga [215]

Answer:

70

Step-by-step explanation:

28 b y 2 14 times 5

3 0
3 years ago
Slope is 85 intercept is 250 what does that tell me about a helicopter taking off.
alexandr1967 [171]
If you mean the y intercept
The helicopter was 250 high before it took off, and then it climbed 85 up for every 1 forward.
6 0
4 years ago
Please fill all 3 of them
slamgirl [31]

Answer:

Median: 36 and 1/7

Mode: 45

Range: 25

Step-by-step explanation:

33 + 45 + 38 + 27 + 45 + 20 + 45

253 ÷ 7 = 36 and 1/7

1 33

3 45s

1 38

1 27

1 20

The mode is 45.

Largest number: 45

Smallest number: 20

45 - 20 = 25

4 0
3 years ago
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