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azamat
2 years ago
5

Consider the function f(x)=10^x and function g(x)=f(x+4). How will the graph of function g differ from the graph of function f?

Mathematics
1 answer:
Jobisdone [24]2 years ago
4 0

Answer:

Shifts 4 units to left

Step-by-step explanation:

Given:

\displaystyle \large{f(x)=10^x}\\\\\displaystyle \large{g(x)=f(x+4)=10^{x+4}}

Accorded to transformation rules:

  • f(x + a) is shift to left <u>a</u> units.
  • f(x - a) is shift to right <u>a</u> units.
  • f(x) + a is shift up <u>a</u> units.
  • f(x) - a is shift down <u>a</u> units.

Since function g is f(x + 4) then function g is the graph of function f(x) that shifts to left 4 units.

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Jefferson school has students in 1st grade up to 5st grade. The number of children in 1st grade has 3 digits.The digit in the nu
lapo4ka [179]

Answer:

283 or 382

Step-by-step explanation:

The number of children in 1st grade has 3 digits.The digit in the number are 2,3,and 8 .

Since the digit 8 means 80 in the number. The other two numbers could interchange the Hundred and Unit position respectively.

The possible numbers are:

I. 200+80+3=283

II. 300+80+2=382

The possible number of children in 1st Grade is either 283 or 382.

7 0
2 years ago
Read 2 more answers
Rich is driving from Philadelphia to Pittsburgh at 70 mph and Michelle is driving from Pittsburgh to Philadelphia at 65 mph. If
Sliva [168]
Let:
Philadelphia be point a
Pittsburgh be point b
Distance traveled by Michelle be x
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distance = velocity (time)

substituting the values:
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rich: 305 - X = 70 t

substituting both equations gives:
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4 0
3 years ago
Which graph represents the function(x)=1/x=1
zzz [600]
I think it would be the second graph
3 0
3 years ago
75 POINTS. I WILL GIVE BRAINLIEST.
agasfer [191]

Question 5, x could be either 6 or -1.

3 0
3 years ago
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Can someone help me with this, please? I'm not sure how to solve this.
bazaltina [42]

Answer:

11.) 10w^2 + 43w + 21.

12.) -15y^2 - 2y + 8

Check the explanation for details

Step-by-step explanation:

11.) You are meant to multiply each row by both columns. For instance, multiply 5w by 2w and 7 you will get 10 w^2 and 35 w

Also, multiply 3 by both 2w and 7 you will get 6w and 21. Therefore,

Expansion of ( 5w + 3 )( 2w + 7 ) will produce 10w^2 + 37w + 6w + 21

= 10w^2 + 43w + 21.

12.) Repeat the same process by multiplying row by column.

Multiply -3y by 5y and 4 you will get -15y^2 and -12y.

Also, multiply 2 by same 5y and 4. You will get 10y and 8

Therefore, the expansion of

( -3y + 2 )( 5y + 4 ) will be

-15y^2 - 12y + 10y + 8

-15y^2 - 2y + 8

4 0
2 years ago
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