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sergiy2304 [10]
3 years ago
11

Assessment

Mathematics
1 answer:
Rina8888 [55]3 years ago
7 0
Axis of symmetry for this function will be x=2 because your origin point is always the reference for the line of symmetry. In this case, it as been shifted to the right 2 units giving you x=2. Firstly, the transformation is a horizontal stretch by a factor of 10. Secondly, it is shifted 2 units to the right and finally shifted 7 units down. Remember when a constant is added or subtracted to x in a function, it is shifted the number of u its opposite of the constant. When there is a constant separate from x, such as outside parentheses or absolute value bars, it is shifted up or down the given amount.
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Tom currently has 5 comic books in his collection and has subscribed to receive 5 new comic books each month. His uncle has 145
Usimov [2.4K]

Answer:

After 5.6 weeks they will have the same number of comic books.

Number of books = 61

Step-by-step explanation:

Tom currently has 5 comic books in his collection and has subscribed to receive 5 new comic books each month.

Again, his uncle has 145 comic books but sends five to each of his 3 nieces each month.

As Tom is one of his nieces so, in every week the collection of tom gets increases by (5 + 5) = 10

Therefore, after w weeks tom's collection will have C₁ = 5 + 10w ......... (1)

And Tom's uncle will have after w weeks C₂ = 145 - 15w ............ (2) comic books in his collection.

If C₁ = C₂ , then  

5 + 10w = 145 - 15w

⇒ 25w = 140

⇒ w = 5.6 weeks.  

Therefore, after 5.6 weeks they will have the same number of comic books. (Answer)

And the number of books it will be  

C = 5 + 10 × 5.6 = 61. (Answer)

8 0
3 years ago
Solve this equation:<br><br><br><br> Six more than nine times a number ( variable) is 456
ch4aika [34]
49.9 x 9+6=456////

Hope this helps.
8 0
3 years ago
Please answer this problem!
harina [27]

Answer:

a. volume= 784 is the answer

8 0
2 years ago
In the diagram, JOK and MON are straight lines. Angle NOP and Angle NOQ are complimentary angles. Calculate the value of x - y.
Pepsi [2]

Answer:

x - y = 118

Step-by-step explanation:

Since ∠ NOP and ∠ NOQ are complimentary then ∠ POQ = 90°

Since JOK is a straight line then

∠ JOP + ∠ POQ + ∠ QOK = 180 , that is

76 + 90 + y = 180

166 + y = 180 ( subtract 166 from both sides )

y = 14

Since MON is a straight line then

∠ MOK + ∠ KOQ + ∠ QON = 180, that is

x + 14 + 34 = 180

x + 48 = 180 ( subtract 48 from both sides )

x = 132

Thus

x - y = 132 - 14 = 118

5 0
3 years ago
A000<br> 1<br> -1-1-1-1<br> AAA<br> A<br> 1<br> 1<br> 1<br> 1<br> 1<br> -1 (-1)(-1
cestrela7 [59]

The answer is -12!!!

3 0
3 years ago
Read 2 more answers
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