MATHEMATICS HIGH SCHOOL

if you horizontally shift the square root parent function, F(x) = √(x), left four units, what is the equation of the new function?

Answers

Answer 1
Answer:

ANSWER

g(x) = √(x + 4)

EXPLANATION

The parent square root function is

f(x) = √(x)

The translation

g(x ) = √(x + k)

Will shift the graph of f(x) k units to left.

The translation

g(x) = √(x -k)

will shift the graph of f(x) to the right by k units.

Therefore if f(x) is shifted 4 units to the left its new equation is:

g(x) = √(x + 4)
Answer 2
Answer:

Final answer:

Shifting a function left involves adding a value to the x-component. Hence, shifting the square root parent function, F(x) = √x, to the left by 4 units results in a new function F(x) = √(x+4).

Explanation:

When a function is shifted horizontally, it impacts the input or the x-values. A shift to the left is represented by the addition of a value to the x-component of the function. Hence, to shift the square root parent function, F(x) = √x, to the left by 4 units, you would add 4 to 'x' in the function, which results in a new function F(x) = √(x+4). "This function represents the original square root parent function shifted 4 units to the left".

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Find the prime factors of 60 by dividing by prime numbers.​

Answers

Let's start with the smallest prime number 2

60/2 = 30

Divide that result over 2

30/2 = 15

We can't divide this by 2 because 15/2 = 7.5 isn't a whole number

Let's move onto 3

15/3 = 5

The result is a prime number, so we stop.

The values we divided as denominators were: {2, 2, 3}

We add the result 5 to the set to completely list all of the prime factors of 60

The prime factorization would be

60 = 2*2*3*5

which is the same as saying

60 = 2^2*3*5

How do you evaluate the expression below??

Answers

2.54156708521 alternatively, logarithm can be calculated like this. 

What is the value of x in the equation ln (x + 6) – ln (2x – 1) = 1?-0.21



0.74



1.35



1.97

Answers

The natural logarithm or log of a number is defined as its logarithm to the base of the mathematical constant e. The value of x is 1.97.

What is a Natural log?

The natural logarithm or log of a number is defined as its logarithm to the base of the mathematical constant e, which is an irrational and transcendental number approximately equal to 2.718281828459.

The value of x in the equation,

ln(x+6) – ln(2x–1) = 1

\ln((x+6)/(2x-1)) = 1\n\n(x+6)/(2x-1) = e^1\n\n(x+6)/(2x-1) = 2.72\n\n

x+6 = 2.72(2x-1)

x+6 = 5.44x -2.72

6+2.72 = 5.44x- x

8.72 = 4.44x

x = 1.96396 ≈ 1.97

Hence, the value of x is 1.97.

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ln(x + 6) - ln(2x - 1) = 1
ln((x + 6)/(2x - 1)) = 1
(x + 6)/(2x - 1) = e^(1)
(x + 6)/(2x - 1) \approx 2.72
2x - 1((x + 6)/(2x - 1)) = 2.72(2x - 1)
x + 6 = 2.72(2x) - 2.72(1)
x + 6 = 5.44x - 2.72
6 = 4.44x - 2.72
8.72 = 4.44x
(8.72)/(4.44) = (4.44x)/(-3.28)
1.97 \approx x

The answer is D.

Correct or incorrect? the difference of two numbers is always less than at least one of the numbers

Answers

the answer is "correct"

Assume that you deposit $833 into an account that pays 7 percent per annum. How much money will be in the account 15 years from today?

Answers

Answer:

$2,676.46

Step-by-step explanation:

Which of the following represent dividing 72 by 6?a. 72 ÷ 6
b. 6/72
c. 6 ÷ 72
d. 72/6

Answers