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4 years ago

What are the values of the coefficents and constant term of 0= 4-7x^2a=b=c=

Mathematics

1 answer:

zubka84 [21]4 years ago

7 0

Answer:

a = -7

b = 0

c = 4

Step-by-step explanation:

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In 2018, the population will grow over 700,000.The population of a city in 2010 was 450,000 and was growing at a rate of 5% per

Firlakuza [10]

Answer:

The year is 2020.

Step-by-step explanation:

Let the number of years passed since 2010 to reach population more than 7000000 be 'x'.

Given:

Initial population is, $P_0=450,000$

Growth rate is, $r=5\%=0.05$

Final population is, $P=700,000$

A population growth is an exponential growth and is modeled by the following function:

$P=P_0(1+r)^x$

Taking log on both sides, we get:

$\log(P)=\log(P_0(1+r)^x)\\\log P=\log P_0+x\log (1+r)\\x\log (1+r)=\log P-\log P_0\\x\log(1+r)=\log(\frac{P}{P_0})\\x=\frac{\log(\frac{P}{P_0})}{\log(1+r)}$

Plug in all the given values and solve for 'x'.

$x=\frac{\log(\frac{700,000}{450,000})}{\log(1+0.05)}\\x=\frac{0.192}{0.021}=9.13\approx 10$

So, for $x > 9.13$ , the population is over 700,000. Therefore, from the tenth year after 2010, the population will be over 700,000.

Therefore, the tenth year after 2010 is 2020.

8 0

3 years ago

Determine any data values that are missing from the table, assuming that the data represent a linear function.

Varvara68 [4.7K]

Answer:

c. 14

Step-by-step explanation:

Let the missing y value be y2.

If the data represent a linear function, then:

$\frac{6 - 2}{2 - 1} = \frac{y_2 - 6}{4 - 2}$

$\frac{4}{1} = \frac{y_2 - 6}{2}$

$4 = \frac{y_2 - 6}{2}$

Multiply both sides by 2

$4 \times 2 = \frac{y_2 - 6}{2} \times 2$

$8 = y_2 - 6$

Add 6 to both sides

$8 + 6 = y_2 - 6 + 6$

$14 = y_2$

The missing value is 14

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3 years ago

1 inch = 2.5 cm.<br><br> How many inches are there in 17.4?

lions [1.4K]

I believe the answer would be 6.96 cm

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3 years ago

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The model shows the addition expression 18 + 12.

Rashid [163]

Answer:

3(6+4) ._. hope this helps

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4 years ago

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Anni [7]

Answer:

The answer is 4

Step-by-step explanation:

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3 years ago

What are the values of the coefficents and constant term of 0= 4-7x^2a=b=c=​

What are the values of the coefficents and constant term of 0= 4-7x^2a=b=c=