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Law Incorporation [45]
3 years ago
8

Factorise 21x-14y Pls try answer its for my homework thx

Mathematics
1 answer:
prohojiy [21]3 years ago
4 0
21x-14y \\ \\ GCF = 7 \\ \\ 7( \frac{21x}{7} + \frac{-14y}{7} ) \ / \ factor \ out \ gcf \\ \\ 7(3x - 2y) \ / \ simplify \\ \\ Answer: \fbox {7 (3x - 2y)}
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in 2012, the population of a city was 63,000. by 2017, the population was reduced to approximately 54,100. identify any equation
Akimi4 [234]

Answer:

<em></em>f(x) = 63000(0.97)^x<em></em>

<em></em>

Step-by-step explanation:

Given

f(0) = 63000 ---x = 0, in 2012

f(5) = 54100 -- x = 5, in 2017

Required

Select all possible equations

Because there is a reduction in the population, as time increases; the rate must be less than 1.

An exponential function is represented as:

f(x) = ab^x

Where

b = rate

rate > 1 in options (a) and (b) i.e. 1.03

This implies that (a) and (b) cannot be true

For option (c), we have:

f(x) = 63000(0.97)^x

Set x = 0

f(0) = 63000(0.97)^0 = 63000*1=63000\\

Set x = 5

f(5) = 63000(0.97)^5 = 63000*0.8587=54098.1 \approx 54100

<em>This is true because the calculated values of f(0) and f(5) correspond to the given values</em>

For option (d), we have:

f(x) = 52477(0.97)^x

Set x = 0

f(0) = 52477(0.97)^0 - 52477* 1 = 52477

<em>This is false because the calculated value of f(0) does not correspond to the given value</em>

For option (e), we have:

f(x) = 63000(0.97)^\frac{1}{5x}

Set x = 0

f(0) = 63000(0.97)^\frac{1}{5*0} = 63000(0.97)^\frac{1}{0} =undefined

<em>This is false because the f(x) is not undefined at x = 0</em>

For option (f), we have:

f(x) = 52477(0.97)^{5x

Set x = 0

f(0) = 52477(0.97)^{5*0} = 52477(0.97)^0 =52477*1= 52477

<em>This is false because the calculated value of f(0) does not correspond to the given value</em>

<em>From the computations above, only (c) </em>f(x) = 63000(0.97)^x<em> is true</em>

4 0
3 years ago
Find the surface area of the right rectangular prism with length 14 meters, width 7 meters, and height 28 meters.
Anna71 [15]
Such a prism would have 2 14x7 faces, 2 7x28 faces, and 2 28x14 faces. Then, the surface area of the prism would be
2 * 14 * 7 + 2 * 7 * 28 + 2 * 28 * 14 = 1372
6 0
3 years ago
13 x - 7 / 10 x ^ 2 - 11 x + 3​
xenn [34]

Answer:

\frac{1}{10} x (20x-7x^{2} + 30)

Step-by-step explanation:

2x-\frac{7}{10} x^{2} +3

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The answe is 41... 65 minus 24
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