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Lunna [17]
3 years ago
6

4 feet is shorter than 18 feet A.18 X 4 b.18-4 c.18+ 4 d.18 divided by 4

Mathematics
1 answer:
lyudmila [28]3 years ago
4 0

4 feet shorter than 18 feet means you need to subtract 4 from 18:

18-4

Product is multiplication so the product of 18 and 4 would be: 18 x 4

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Step-by-step explanation:

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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
Can somebody help me with this question plz !
lidiya [134]

Answer:

y=4x-3

Step-by-step explanation:

Parallel lines will always have the same slope (the number that comes before x in an equation). So, we can plug in 4 to the equation.

y=4x+?

Let's say the ? is b. If we plug in the point (1,1) into y=4x+b, we get

1=4(1)+b

reduce

1=4+b

subtract 4 from both sides

-3=b

and now we can add b=-3 into the original answer, and we get y=4x-3!

5 0
3 years ago
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