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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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What is the product of the binomials (4a – 1) and (2b + 3)?
galben [10]

Answer:

D. 8ab+12a-2b-3

Step-by-step explanation:

You are basically combining like terms

8 0
3 years ago
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What is the length of Arc AB, if the radius of Circle L is 12 inches?
grigory [225]
Hello : 
<span>The circumference of the circle is 24π inches 
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</span><span>(The complete circumference would cover 360°. Angle ALB is 100°)<span> </span></span>
6 0
3 years ago
Select all the rates that correspond to a unit rate of $6 per sandwich. You must select all correct responses to receive credit.
faltersainse [42]

Answer:

B, C, and E

Step-by-step explanation:

A. 42/6 = 7     Not correct

B. 42/7 = 6     Correct

C. 108/18 = 6  Correct

D. 40/5 = 8     Not correct

E. 96/16 = 6     Correct

5 0
3 years ago
The graph of f is shown. find and interpret f(45).
Ket [755]

The function represents the number of accidents (f(x)) per 50 million miles driven as a function of the driver's age (x).

f(x)=0.4x^2-36x+1000

f(45) indicates that you have to find the value of f(x) when x=45, to do so replace the equation of the function with the value of x and solve for f(x)

\begin{gathered} f(x)=0.4x^2-36x+1000 \\ f(45)=0.4(45)^2-36\cdot45+1000 \\ f(45)=0.4\cdot2025-1620+1000 \\ f(45)=810-1620+1000 \\ f(45)=190 \end{gathered}

For x=45 years f(x)=190

f(45)=190; This value indicates that 45-year-old drivers had 190 accidents per 50 million miles driven.

8 0
1 year ago
Define four symbolic constants that represent integer 25 in decimal, binary, octal, and hexadecimal formats
stealth61 [152]

Answer:

1) Decimal    25= (25)_{10}

2) Binary    25= (11001)_2

3) Octal   25= (31)_8

4) Hexadecimal   25= (19)_{16}

Step-by-step explanation:

Given : Integer is 25                      

To find : Represent integer in decimal, binary, octal, and hexadecimal formats.

Solution :

1) Integer into decimal - To convert into decimal the base goes to 10.

So, 25= (25)_{10}

2) Integer into binary - To convert into binary the base goes to 2, it form in 0 and 1 and we divide integer by 2.

Divide 25 by 2 and note down the remainders.

2 | 25

2 | 12    R=1    ←

2 | 6     R=0   ↑

2 | 3      R=0  ↑

2 | 1  →   R=1   ↑

So,   25= (11001)_2

3) Integer into octal - To convert into octal the base goes to 8 and we divide integer by 8.

Divide 25 by 8 and note down the remainders.

8 | 25

  | 3 →   R=1    

So,   25= (31)_8

4) Integer into hexadecimal - To convert into hexadecimal the base goes to 16 and we divide integer by 16.

Divide 25 by 16 and note down the remainders.

16 | 25

   | 1 →   R=9    

So,   25= (19)_{16}

3 0
3 years ago
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