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Genrish500 [490]
3 years ago
13

F(x)=x^2 what is g(x)?

Mathematics
1 answer:
Umnica [9.8K]3 years ago
8 0

Answer:

B

Step-by-step explanation:

You are given that a valid point on g(x) is (4,1) or y=1 when x=4

Substitute this point into each of the choices and see which one is valid.

A : g(x) = \frac{1}{4}x² = (1/4) (4²) = 4 ≠ 1 (not valid)

B: g(x) = [(1/4) x]² = [(1/4) 4]² = 1² = 1 (valid)

C: g(x) = 4x² = 4 (4²) = 64 ≠ 1 (not valid)

D: if you expand it out, you'll find that this is identical to option A which we determined earlier to be not valid.

Hence the only valid choice is B

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The population of a city in 2005 was 15,000. By 2015, the city's population had grown to 45,000 people. Assuming that the popula
Ede4ka [16]

Answer:

The population of the city in the year 2025 will be 85,000.

Step-by-step explanation:

The population of the city in year 2005 = 15,000

The population of the city in the year 2015  = 45,000

⇒ The change in population in 10 years

= Population in year 2015 - Population in the year 2005

= 45,000  - 15, 000

= 30,000

⇒ The change in population in 10 years  = 30,000

Now, the population in the year 2015 = 45, 000

Let us assume the number of population in the year 2025 = m

Here, according to the question:

Since, the CHANGE OF RATE is a linear growth since 2005.

⇒ The change in population in each 10 years  = 30,000

⇒ The change in population in next 10 years

  = Population in year 2025 - Population in the year 2015

or, 30, 000 = m - 45, 000

⇒ m = 30,000 + 45,000 = 85,000

or, m = 85,000

Hence, the population of the city in the year 2025 will be 85,000.

3 0
3 years ago
Which percent is equivalent to 0.3?<br> A. 0.003%<br> B. 0.03%<br> C. 3%<br> D. 30%
Kitty [74]

Answer:

D, 30%

Step-by-step explanation:

you move the decimal point twice to the right

8 0
3 years ago
Read 2 more answers
Determine the quotient of (7.7x10^-2) divided by (2.2x10^-2
Aliun [14]

Answer:

3.5 is your answer.

Step-by-step explanation:

(7.7x10^-2) divided by (2.2x10^-2

Just *Divide*

Hope this helps.

: )

7 0
3 years ago
Given the function f(x) = 6x^2 −13, what is f(-3)?
Naya [18.7K]
<h3>Answer: 41</h3>

Work Shown:

f(x) = 6x^2 - 13

f(x) = 6(x)^2 - 13

f(-3) = 6(-3)^2 - 13 ... replace every x with -3; use PEMDAS to simplify

f(-3) = 6(9) - 13

f(-3) = 54 - 13

f(-3) = 41

7 0
3 years ago
2 x <img src="https://tex.z-dn.net/?f=%5Csqrt%7B36%7D" id="TexFormula1" title="\sqrt{36}" alt="\sqrt{36}" align="absmiddle" clas
Andrei [34K]
The answer is 48
2x6+36
12+36=48
4 0
2 years ago
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