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3 years ago

HELP ASAP!!!!!

Mathematics

1 answer:

nasty-shy [4]3 years ago

5 0

Answer: Answer:

3^x

9, 15, 33, 87, 249

(4, 87) for example

Step-by-step explanation:

a) First differences of the f(x) values in the table are ...

19 -13 = 6, 37 -19 = 18, 91 -37 = 54, 253 -91 = 162

The second differences are not constant:

 18 -6 = 12, 54 -18 = 36, 162 -54 = 108 

But, we notice that both the first and second differences have a common ratio. This is characteristic of an exponential function. The common ratio is 18/6 = 3, so the parent function is 3^x

b) Translating a function down 4 units subtracts 4 from each y-value. The values of f(x) in the table would be ...

 9, 15, 33, 87, 249

c) The x-values of the function stay the same for a vertical translation, so the points in the table of the transformed function are ...

 (x, f(x)) = (1, 9), (2, 15), (3, 33), (4, 87), (5, 249)

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Question. 7 Let abc be a three-digit number. Then, abc + bca + cab is not divisible by (a) a + b + c (b) 3 (c) 37 (d) 9

Neko [114]

Answer:

D. 9

Step-by-step explanation:

Let

abc=100a+10b+c

bca=100b+10c+a

cab=100c+10a+b

abc + bca + cab=(100a+10b+c) + (100b+10c+a) + (100c+10a+b)

=100a + 10b + c + 100b + 10c + a + 100c + 10a + b

Collect like terms

=100a + a + 10a + 10b + 100b + b + c + 10c + 100c

=111a + 111b + 111 c

Factorise

=111(a+b+c)

abc + bca + cab = 111(a+b+c)

Factors of 111(a+b+c)= 1, 3, 37, 111, and (a+b+c)

abc + bca + cab is divisible by a+b+c because it is a factor of 111(a+b+c)

abc + bca + cab is divisible by 3 because 3 is a factor of 111(a+b+c)

abc + bca + cab is divisible by 37 because 37 is a factor of 111(a+b+c)

abc + bca + cab is not divisible by 9 because 9 is not a factor of 111(a+b+c)

7 0

4 years ago

2 5/8oz if you use a thrid of it how much is she gone have left over

alex41 [277]

Lets convert the fraction first to ease the calculations:
2 5/8 = 16/8 + 5/8 = 21/8
so now we can operate easily, to calculate we need to multiply 21/8 by 2/3 that is because, if 1/3 is used then 2/3 are left over (1/3 + 2/3 = 1, the total), so we have:
(2/3)(21/8) = (2*21)/(3*8)
= 42/24
= 21/12
= 7/4
so 7/4 are left over

4 0

4 years ago

A colored chip is yellow on one side and red on the other. The chip was flipped 50 times and landed red side facing up 21 times.

meriva

Answer:

42%

Step-by-step explanation:

We know that the number of times red side is faced up = 21; and

the total number of times colored chip is thrown = 50

Frequency of red side = (No of times red side is faced up / Total number of times colored chip is thrown) * 100%

Frequency of red side = (21 / 50) * 100% = 0.42 * 100 = 42%

Therefore, the relative frequency of the chip landing with the red side facing up is 42%.

6 0

3 years ago

740% as a mixed number

alex41 [277]

740% as a fraction is 37/5.
37/5 as a mixed number is 7 2/5.

Hope this helps! Good luck.

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4 years ago

A movie complex is showing the same movie in three theaters. In theater A, 56 of the 80 seats are taken. In theater B, seats a

Elden [556K]

Answer:

Theatre A has the greatest percent

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3 years ago